国土资源遥感, 2019, 31(1): 255-263 doi: 10.6046/gtzyyg.2019.01.33

技术应用

月球哥白尼纪次级坑的形态特征及其空间分布

张珂1,2, 刘建忠,1,2, 程维明2,3

1.中国科学院地球化学研究所月球与行星科学研究中心,贵阳 550002

2.中国科学院大学,北京 100049

3.中国科学院地理科学与资源研究所资源与环境信息系统国家重点实验室,北京 100101

Morphological features and spatial distribution of the lunar Copernican secondary craters

ZHANG Ke1,2, LIU Jianzhong,1,2, CHENG Weiming2,3

1.Lunar and Planetary Science Research Center, Institute of Geochemistry, Chinese Academy of Sciences, Guiyang 550002, China

2.University of Chinese Academy of Sciences, Beijing 100049, China

3.State Key Laboratory of Resources and Environmental Information System, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China

通讯作者: 刘建忠(1968-),男,研究员,博士生导师,主要从事月球与行星地质研究。Email:liujianzhong@mail.gyig.ac.cn

责任编辑: 陈理

收稿日期: 2017-09-6   修回日期: 2017-11-30   网络出版日期: 2019-03-15

基金资助: 国家自然科学基金项目"全月球形貌类型划分方法研究".  41571388
国家科技基础性工作专项项目"月球数字地质图编研".  2015FY210500
中国科学院B类先导科技专项培育项目课题.  XDPB11-3

Received: 2017-09-6   Revised: 2017-11-30   Online: 2019-03-15

作者简介 About authors

张珂(1991-),女,硕士研究生,主要从事行星遥感形貌科学方面的研究。Email:zhangke415@mails.ucas.ac.cn。 。

摘要

月球次级坑是月球上的一种地质特征,易与初级坑相混淆,对月表定年影响大,同时对主撞击坑的撞击方向有一定的指示意义,因此识别和筛选出次级坑是一项重要的工作。综合考虑撞击坑空间分布位置和直径关系,选取哥白尼纪5个典型撞击坑为研究对象,基于遥感影像和地形数据,通过总结相关学者对特定形态指标与次级坑定量关系的研究,构建4个形态指标(不规则度、椭圆度、深径比、坑缘高度与直径比)及其参数范围,进行次级坑的智能化识别、提取与空间分布研究。最终识别出次级坑总数量为17 811个,在此基础上构建了包含位置、大小、形状、距离和方向5大类的数据库; 并研究了距主坑边缘不同距离范围内次级坑的规模和空间分布特征; 提出了基于次级坑主轴方向判定撞击坑入射方向的新方法。研究结果表明: ①在规模大小上,月海次级坑直径大小主要集中在初级坑直径的(2.7±0.11)%以下; 月陆次级坑直径大小主要集中在初级坑直径的(3±0.3)%以下; 在空间分布上,月海与月陆次级坑分布规律相一致,次级坑数量占总次级坑数量的90%时,其分布距离是最大分布距离的(57±7)%; ②Tycho撞击坑的入射方向为W-E方向,Copernicus撞击坑和Kepler撞击坑的入射方向为SE-NW方向,Aristarchus撞击坑和Jackson撞击坑的入射方向为NW-SE方向。这些认识将对更准确地开展撞击坑撞击方向的研究提供参考。

关键词: 次级坑 ; 哥白尼纪 ; 形态指标 ; 次级坑数据库 ; 空间分析 ; 撞击方向

Abstract

Lunar secondary crater, a kind of geological feature that is easily confused with the primary craters on the Moon, can introduce significant errors in lunar dating. However, it can be used to determine the impact direction of the primary crater, so it is important to identify secondary craters. In this paper, based on remote sensing data and topography data, comprehensive consideration of the spatial location and diameter of the lunar primary crater, the authors selected five typical Copernican primary craters to study the quantitative morphological indices so as to characterize their secondary craters, including depth-diameter ratio, rim height-diameter ratio, irregularity, and ellipticity. On such a basis, the intelligent identification, extraction and spatial distribution of secondary craters were studied. As a result, a total of 17 811 secondary craters were detected, from which a geodatabase was established that included five categories according to location, size, morphological indices, distance, and impact direction of secondary craters. The scale and distribution characteristics of secondary craters were studied based on the distance range from primary crater edge. A new method based on secondary crater major axis was developed. Some conclusions have been reached: ① As for craters size, the lunar mare secondary crater diameter is (2.7±0.11)% of its primary crater diameter, the lunar highland secondary crater diameter is (3±0.3)% of its primary crater diameter. The spatial distribution law is consistent between lunar highland and lunar mare. The secondary distribution distance is (57±7)% of the maximum distribution distance. ②The impact direction of the Tycho crater is W-E. The impact directions of the Copernicus crater and the Kepler crater are SE-NW. The impact directions of the Aristarchus crater and the Jackson crater are NW-SE. This study will be helpful for more accurate study of crater impact direction.

Keywords: secondary crater ; Copernican ; morphology index ; secondary crater geodatabase ; spatial distribution ; impact direction

PDF (5571KB) 元数据 多维度评价 相关文章 导出 EndNote| Ris| Bibtex  收藏本文

本文引用格式

张珂, 刘建忠, 程维明. 月球哥白尼纪次级坑的形态特征及其空间分布. 国土资源遥感[J], 2019, 31(1): 255-263 doi:10.6046/gtzyyg.2019.01.33

ZHANG Ke, LIU Jianzhong, CHENG Weiming. Morphological features and spatial distribution of the lunar Copernican secondary craters. REMOTE SENSING FOR LAND & RESOURCES[J], 2019, 31(1): 255-263 doi:10.6046/gtzyyg.2019.01.33

0 引言

月球表面次级坑是在初级撞击坑撞击过程的挖掘阶段,由于稀疏波的作用使得物质向外溅射,这些物质在月球重力作用下,撞击月表形成的撞击坑。目前,在月表定年方法中最常使用的是撞击坑的大小-频率分布统计方法[1],即通过统计某一特定单元面积内撞击坑的密度来估算地质单元的年龄,当初级坑密度越大,地质单元年龄越老,但由于次级坑的存在会使学者在使用该方法定年时产生很大的影响[2,3,4,5,6,7,8,9],因此识别和剔除次级坑是定年研究中的重要环节。

由于抛射碎片的抛射速度、角度和抛射碎片的大小、重量等不同,导致形成的次级坑也有着不同的大小和形态特征,表现为狭长的、不规则的、带有中心丘的[6]、与相同大小的初级坑相比深度更浅的特征,一般以次级坑链(如鱼骨形次级坑链[10,11])和次级坑簇的形式存在。以形态为基础的次级坑研究中,不同学者使用不同方法对其进行识别。Shoemaker[12]首次提出了远距次级坑的存在,使用幂律累积频率图将研究区域的撞击坑分为初级坑和次级坑2种,较缓斜率涵盖的撞击坑为初级坑,而较陡斜率涵盖的撞击坑为次级坑; Oberbeck和Morrison[10,11]解译了鱼骨形次级坑链,并模拟了鱼骨形次级坑链是由许多抛射出的碎石砾同时或几近同时撞击月表形成; Bart等[13]通过研究Bürg撞击坑周围石砾大小来区分远端次级坑与相似大小的初级坑,研究表明在低速撞击下次级坑周围碎石砾大小比具有相同大小的初级坑的碎石砾大小更大; Kumar等[6]解译了距Copernicus撞击坑中心475 km左右处带有中心丘的次级坑,并计算了次级坑的一些形态指标参数(坑直径、深度、中心丘直径、中心丘高度和深径比); McEwen等[14]使用2种方法来识别Zunil撞击坑周围的次级坑,一是根据次级坑有明显的TI反照率相,并且径向指向Zunil撞击坑,二是使用撞击坑大小频率分布统计法(crater size-frequency distribution,CSFD),其值可达5.5,得到直径≥20 m的次级坑有106个; Wells等[15]在圆偏振比雷达影像上基于溅射毯的不对称性识别靠近月球南极的Newton和Newton-A撞击坑内相同大小的初级坑和远距次级坑,远距次级坑分布在Tycho撞击坑溅射毯上并与辐射纹方向一致,而相同大小初级坑不在溅射毯上; Honda等[16]依据次级坑在空间分布上是随机的,提出了2种方法识别并进行比较,一是考虑撞击坑的尺度变化,使用群平均法进行聚类分析,二是使用Voronoi(简称V)网格划分影像,估算每个撞击坑所占V网格面积(称为V区域),因V区域与撞击坑聚集相关,所以利用V区域来观察撞击坑的空间分布是随机的,经比较认为该方法效果较好。综上可知,前人对次级坑的研究主要集中在某一种特殊形态的识别方面,对孤立次级坑的研究相对较少,缺乏应用的普适性,并缺乏次级坑数据库以及对空间分布规律的研究。

为了更好地研究次级坑,进一步明确次级坑在形态上与初级坑的差别,总结、实验、修改相关学者研究所得的次级坑形态指标参数范围,以此进行次级坑的筛选与识别; 构建哥白尼纪次级坑数据库; 研究次级坑尺寸大小及其空间分布规律; 提出一种判断撞击体入射方向的新方法,即以次级坑的主轴方向值为主导因素,溅射物分布形态和主坑的坑缘形态特征为辅助因素的方法,旨在为以后更好研究次级坑的影响范围以及定年研究提供参考。

1 数据处理与指标体系

1.1 数据处理

次级坑识别使用的遥感影像是空间分辨率为100 m的月球勘测轨道器宽角相机的7波段影像[17]数据和数字地形数据(29 像素/度)。次级坑分布范围(简称cr)以辐射纹在月表沉降范围为界线,根据一系列的波段选择,最终确定566 nm(R),415 nm(G),321 nm(B)3波段假彩色合成时次级坑分布范围界线最为明显。

综合考虑撞击坑的空间位置和尺寸大小,选取哥白尼纪5个典型撞击坑(Copernicus撞击坑、Tycho撞击坑、Jackson撞击坑、Aristarchus撞击坑和Kepler撞击坑)进行筛选和识别次级坑,研究其形态和分布。空间分布上,5个撞击坑分别位于月球正面极地地区、月海和月球背面。尺寸大小上,最小的直径为32 km,最大的直径为93 km,具有一定的代表性。哥白尼纪5个典型撞击坑的基本信息如表1图1所示,图1采用正射投影坐标系。

表1   哥白尼纪5个典型撞击坑参数

Tab.1  Five typical Copernican primary craters and their characteristics

参数Copernicus撞击坑Tycho撞击坑Jackson撞击坑Aristarchus撞击坑Kepler撞击坑
经度20°W11.2°W163.1°W47.4°W38°W
纬度9.7°N43.3°S22.4°N23.7°N8.1°N
年代/Ma800±40109±480150450625950
直径/km9386714032
空间位置位于风暴洋的中东部,雨海的南边,靠近月球赤道地区位于月球正面南纬45°S的南部山地位于月球背面的北半球位于风暴洋的中部,月球正面的中低纬度地区位于风暴洋和岛海之间,月球正面的北东侧

新窗口打开| 下载CSV


图1

图1   哥白尼纪5个典型撞击坑的空间位置及其次级坑分布界限范围

Fig.1   Spatial locations of the five Copernican lunar primary craters and the maximum distribution range of their secondary craters


次级坑直径大小范围以不同月表地貌单元的不同饱和度直径为标准。次级坑直径下限依据CSFD方法,月海撞击坑的饱和度直径为300 m[18,19],月陆撞击坑的饱和度直径为500 m[4,20]。次级坑最大直径约为初级坑直径的5%左右[21,22,23]

1.2 哥白尼纪次级坑的识别指标体系

通过总结相关学者对次级坑指标参数的研究,结合次级坑的形态特征,最终确定识别次级坑的指标参数为不规则度、椭圆度、深径比、坑缘高度与直径比(表2)。

表2   次级坑形态指标参数

Tab.2  Morphological parameters of the secondary craters

指标参数用途公式
不规则度(Γ)分析坑缘不规则的程度Γ=P2πA 
椭圆度(ei)坑缘的延展程度ei=π(L/2)2A
深径比(t)分析次级坑的深浅程度t=HD
坑缘高度与直径比(y)撞击坑隆起高度y=hD

①式中: P,AL分别为次级坑坑口周长、面积和主轴长度; H为次级坑边缘到坑底的深度; D为次级坑边缘的直径(以坑口面积相等圆的面积计算的直径为次级坑直径); h为坑缘深度。

新窗口打开| 下载CSV


1)不规则度(Γ)。Zhou等[24]研究了哥白尼纪3个撞击坑(Copernicus撞击坑、Jackson撞击坑和Tycho撞击坑)与3个复杂撞击坑(东海盆地、Antoniadi撞击坑和Compton撞击坑)连续溅射毯上的孤立次级坑的Γ为1.041.30; Calef等[25]对火星初级坑与次级坑的Γ进行比较研究,得到次级坑Γ为1.06±0.05(部分Γ>1.1)。

2)椭圆度(ei)。Guo等[26]识别了东海盆地辐射纹范围内1 301个次级坑,选定63个进行形态测量,得出ei=1.20,并随着次级坑直径的增大而减小,距主坑距离越远而减小; Nagumo等[27]研究月表次级坑形态表明当小型撞击坑ei≥1.20时被认为是次级坑。

3)深径比(t)。Moutsoulas等[28]计算得到月表低速低角度撞击作用下形成的次级坑的t为0.120.15; Basilevsky等[29]计算了Copernicus撞击坑NE方向500 km内19个直径在350950 m范围内的次级坑,得到t为0.0250.110,Tycho撞击坑NE方向2 250 km内直径范围在250650 m内8个次级坑t为0.070.13; Grant等[30]通过解译火星Bonneville撞击坑,得出远距次级坑的t为0.07; Pike[31]列举了28个次级坑的深度和直径,得到次级坑t为0.1040.173±0.040。

4)坑缘高度与直径比(y)。Watters等[32]识别了75个次级坑簇,共识别出大于2 700个次级坑,直径范围在40300 m,撞击速度在0.42 km/s,计算得出y为0.030.04; Pike[31]计算了次级坑的直径、深度、边缘高度和外缘边宽,通过计算可得y为0.020.04; Pike[33]解译了29个直径范围从4504 000 m的次级坑,得到y为0.02左右。

为了更好地识别次级坑,综合以上学者研究得出的4个指标参数范围,以此为基础对每一个指标参数的范围进行反复实验验证,在实验中不断优化指标参数的范围,最终得出本文所使用的次级坑识别指标参数特征值(表3)。

表3   次级坑识别的指标参数特征值

Tab.3  Range of morphological parameters used to identify secondary craters

指标参数研究学者范围本文界定范围
不规则度Zhou 等[24]1.041.30
Γ≥1.02
Calef 等[25]1.06±0.05
椭圆度Guo 等[26]01.20
ei≥1.20
Nagumo等[27]≥1.20
深径比Moutsoulas等[28]0.120.15
Basilevsky等[29]0.0250.130
0.07≤t<0.20
Grant等[30]0.07
Pike[31]0.1040.173±0.040
坑缘高度与直径比Watters[32]0.030.04
Pike[31]0.020.040.02≤y≤0.04
Pike[33]0.02

新窗口打开| 下载CSV


2 结果和讨论

2.1 识别次级坑数量

根据设定的指标参数范围,5个撞击坑cr内共识别出了17 811个次级坑(19 839个撞击坑),其中,识别出Copernicus撞击坑cr内共2 997个次级坑(3 319个撞击坑); Tycho撞击坑cr内共7 343个次级坑(8 067个撞击坑); Jackson撞击坑cr内共2 637个次级坑(3 219个撞击坑); Aristarchus撞击坑cr内共2 893个次级坑(2 971个撞击坑); Kepler撞击坑cr内共1 941个次级坑(2 263个撞击坑)。次级坑空间分布如图2所示,采用正射投影坐标系,以撞击坑中心位置为投影中心。

图2

图2   5个典型哥白尼纪撞击坑次级坑界限范围内的次级坑分布

Fig.2   Secondary crater distribution in the distribute range of the secondary craters about the five Copernican primary craters


2.2 建立次级坑数据库

为了更好地了解次级坑的形态特征,在筛选识别的研究成果基础上,建立哥白尼纪5个撞击坑周围次级坑数据库,从位置、大小、形状、距离和方向5个指标系统性地对次级坑的形态进行表述,数据库属性信息如表4所示。

表4   部分次级坑数据库属性信息

Tab.4  Secondary craters geodatabase attribute

指标属性类型Copernicus次级坑Tycho次级坑Jackson次级坑Aristarchus次级坑Kepler次级坑
FID11111
位置中心点经度13.55°N27.55°S19.10°N25.09°N13.09°N
中心点纬度29.54°W22.65°W166.85°W41.67°W35.90°W
大小面积/km22.234.483.630.200.59
周长/km5.747.847.101.672.82
直径/km1.692.392.150.510.87
深度/m275.0252.0274.573.567.0
边缘高度/m53.4067.3559.0412.1622.32
主轴长度/km2.103.152.630.671.03
副轴长度/km1.602.162.110.460.76
形状不规则度1.0801.0451.0501.0421.040
椭圆度1.561.741.501.691.42
深径比0.1660.1050.1300.1400.080
坑缘高度与
直径比
0.0310.0280.0270.0240.260
距离距主坑中心
距离/km
311.10570.00139.25181.20105.69
方向主轴方向/°66.72-66.76-25.7838.03-62.74

新窗口打开| 下载CSV


2.3 基于直径和距主坑边缘距离的次级坑空间分布

距离主坑边缘的不同半径与次级坑直径关系如图3所示,其中R为主坑半径,S为距离主坑边缘的距离。在尺寸大小上,Copernicus撞击坑周围,直径在0.99 km以下的次级坑,占总次级坑数量的50.4%; 直径在2.32 km以下的次级坑,占总次级坑数量的90.0%,与主坑直径之比为0.026(图3(a)); Tycho撞击坑周围,直径在1.03 km以下的次级坑,占总次级坑数量的50.1%; 直径在2.54 km以下的次级坑,占总次级坑数量的90.0%,与主坑直径之比为0.030(图3(b)); Jackson撞击坑周围,直径在1 km以下的次级坑,占总次级坑数量的49.9%,直径在2.34 km以下的次级坑,占总次级坑数量的90.2%,与主坑直径之比为0.033(图3(c)); Aristarchus撞击坑周围,直径在1.03 km以下的次级坑,占总次级坑数量的89.9%,与主坑直径之比为0.026(图3(d)); Kepler撞击坑周围,直径在0.59 km以下的次级坑,占总次级坑数量的49.6%,直径在0.91 km以下的次级坑,占总次级坑数量的89.0%,与主坑直径之比为0.028(图3(e))。

图3

图3   距离主坑边缘的不同半径与次级坑直径关系

Fig.3   Relationship between the different radius from the main crater rim crest and secondary crater diameter


在空间分布上,Copernicus撞击坑周围的次级坑的最大分布距离可达14R,主要分布在2R8R,距主坑边缘8.3R范围内时,其数量达总次级坑数量的90.1%(图3(a)); Tycho撞击坑周围的次级坑的最大分布距离可达34R,主要分布在3R15R,在距主坑边缘20R范围内时,其数量达总次级坑数量的90.4%(图3(b)); Jackson撞击坑周围的次级坑的最大分布距离可达21R,主要分布在2R13R,距主坑边缘13.7R范围内时,其数量达总次级坑数量的89.9%(图3(c)); Aristarchus撞击坑周围的次级坑的最大分布距离可达27R,主要分布在3R12R,距主坑边缘12R范围内时,次级坑数量达总次级坑数量的89.9%(图3(d)); Kepler撞击坑周围的次级坑的最大分布距离可达21R,主要分布在2R9R,距主坑边缘9.7R范围内时,其数量达总次级坑数量的90.2%(图3(e))。不同次级坑直径及分布距离与次级坑数量占比关系如图4所示。

图4

图4   不同次级坑直径、次级坑分布距离下与次级坑数量占比的关系

Fig.4   Relationship of secondary crater number with different secondary crater diameter and distance


1)次级坑的尺寸大小在月海和月陆有差别。月海撞击坑周围的次级坑数量占总次级坑数量达到90%时,其直径是主坑直径的(2.7±0.11)%; 月陆撞击坑周围的次级坑数量占总次级坑数量达到90%时,次级坑直径是主坑直径的(3±0.3)%(图4(a))。

2)次级坑的空间分布模式在月海和月陆上基本一致。①在初级坑周围的次级坑,其数量占总次级坑数量达90%时,其分布距离是最大分布距离的(57±7)%(图4(b))。②次级坑在距离主坑边缘1R2R范围内时,次级坑数量极少。因为在挖掘阶段,撞击坑抬升之后坑缘物质在重力作用下向外滑移,而滑移结束前的时间和距离内形成的次级坑可能会被掩盖而不被识别出来,因此次级坑在距离主坑边缘1R范围内基本不存在,在1R2R范围内数量也很少。Schenk等[34]研究表明,距撞击坑坑缘1R2R范围内是连续溅射物在月表的沉积相,在此沉积相上次级坑的分布很少,次级坑主要分布在连续溅射沉积相的边缘到不连续溅射沉积相上,在辐射纹范围内次级坑的分布数量也很少; Zhou等[24]和Bierhaus 等[35]研究表明连续溅射沉积相接近撞击坑的边缘,由连续溅射沉积物形成,在此范围内很少有次级坑,近邻次级坑也在连续溅射毯范围之外。③当次级坑分布距离大于次级坑分布最大距离的60%时,次级坑数量锐减。随着溅射物溅射角度、速度的增大,次级坑距主坑边缘也越远。这部分的次级坑主要分布在辐射纹上。根据溅射物在月表分布距离与溅射角度和速度的关系,即

d= v2sin(2θ)/g,

式中: d为溅射物在月表的分布距离; v为溅射物的初始速度; θ为溅射物被抛射的角度; g为月表重力加速度。当溅射物速度越大,且θ<45°时,次级坑距主坑距离才会更远[36]。但也由于受溅射能量与重力作用的限制,距主坑越远时,溅射物数量和形成的次级坑就越少。

2.4 基于次级坑主轴方向的撞击角度

在研究撞击体的入射角度和方向时,很多学者主要从撞击坑坑缘形态和溅射物形态研究[37,38,39],然而也有一部分撞击坑虽带有辐射纹特征,但很难通过辐射纹的形态和分布来识别撞击方向。因此,为了更加准确地研究撞击坑入射方向,就需要通过计算次级坑主轴方向,但因计算得到的主轴方向值不包含方位关系,还需要结合主撞击坑的坑缘形态和溅射物形态对初级坑撞击方向进行研究。为了更准确地表述研究撞击坑入射方向,对撞击坑入射方向进行16分区划分,每个方向的区间是22.5°,以(-11.25°,11.25°)区间内撞击方向为E方向。

撞击坑体入射方向判断及综合解译结果如图5所示。其中,左侧为主坑的次级坑界限范围内不同主轴方向上的次级坑数量分布图,右侧为主坑的溅射物分布形态,黑色的箭头方向表示撞击坑入射方向。

图5

图5   撞击坑体入射方向判断综合解译

Fig.5   Comprehensive interpretation of determining the impact directions


图5所示可得,Copernicus撞击坑的次级坑主轴方向在NW-SE的次级坑数量最多,其溅射物呈现六边形的形态,可确定其撞击方向为SE-NW方向(与Shkuratov等[40]研究相符)(图5(a)); Tycho撞击坑的次级坑主轴方向主要集中在W-E方向,其溅射物主要分布在东边,可以确定其撞击方向为W-E方向(与Hirata等[41]研究相符)(图5(b)); Jackson撞击坑的次级坑主轴方向在SWW-NEE的次级坑数量最多,但其溅射物的分布形态基本上是以NW-SE方向为对称轴分布,在NW方向上基本没有溅射物的存在,并且次级坑主轴方向在NW-SE的数量仅次于SWW-NEE方向上的,所以可得到其撞击方向为NW-SE方向(与Hirata等[42]研究相符)(图5(c)); Aristarchus撞击坑的次级坑主轴方向在SWW-NEE的次级坑数量最多,但其溅射物分布形态以NW-SE方向为对称轴分布,在SE方向上有一狭长的辐射纹形态,并且次级坑主轴方向在NW-SE的数量仅次于SWW-NEE方向上,可得到其撞击方向为NW-SE方向(与Mustard等[43]研究相符)(图5(d)); Kepler撞击坑的次级坑主轴方向在NW-SE的次级坑数量最多,其溅射物在NW方向呈现狭长延伸形态,可确定其撞击方向为SE-NW方向(与Öhman等[44]研究相符)(图5(e))。

3 结论

基于多源遥感数据对哥白尼纪5个典型撞击坑周围的次级坑进行形态特征解译,得出以下结论:

1)识别出哥白尼纪5个撞击坑周围的次级坑共17 811个,并研究哥白尼纪次级坑的空间分布,得出当次级坑的累计数量达到总次级坑数量的90%以上时,在尺寸大小上,月海和月陆次级坑表现出一定的差异性,而在空间分布上则具有一致性。这为以后更好地研究次级坑影响范围提供了依据。

2)补充了研究撞击体入射方向的新方法,通过比较发现,本研究所显示的撞击体入射方向与前人研究结果相一致。

由于本文仅对哥白尼纪5个大型撞击坑周围的次级坑空间分布进行了研究,尚缺乏不同年代的比较,未来研究将进一步比较不同年代次级坑的特点与次级坑对月表定年的影响。

参考文献

Arvidson R E, Chapman C, Moore H , et al.

Standard techniques for presentation and analysis of crater size-frequency data

[J]. Icarus, 1979,37(2):467-474.

DOI:10.1016/0019-1035(79)90009-5      URL     [本文引用: 1]

In September 1977, a crater studies workshop was held for the purpose of developing standardized data analysis and presentation techniques. This report contains the unanimous recommendations of the participants. This first meeting considered primarily crater size-frequency data. Future meetings will treat other aspects of crater studies such as morphologies.

Anderson R B, Bell J F I .

Geologic mapping and characterization of Gale crater and implications for its potential as a Mars science laboratory landing site

[J]. International Journal of Mars Science and Exploration, 2010,5:76-128.

DOI:10.1555/mars.2010.0004      URL     [本文引用: 1]

We have conducted a study of the geomorphology, stratigraphy, and composition of Gale crater and its central mound of layered deposits, a region that is being considered as a landing site for the Mars Science Laboratory (MSL) mission. We surveyed the crater for fluvial features and evaluated hypotheses for the origin of the central mound, including aeolian, lacustrine, spring mound, and volcanic processes. The rim of Gale crater is extensively dissected by fluvial channels, and the observed channels on the crater rim appear to flow into the crater with no obvious outlet. Many of the channels are dendritic, some showing third or fourth-order tributaries. Inverted fluvial features occur on the floor and mound, including several meandering channels and channel networks within the proposed MSL landing ellipse. Fractures on the mound are common and are often erosion-resistant, possibly suggesting alteration and/or cementation by fluid. The key geomorphic units of the landing site and mound include: a fan-shaped deposit in the landing site (divided into low and high thermal inertia portions), hummocky plains, a widespread mound-skirting unit, a basal unit that underlies the mound and floor units, a light toned ridge, a phyllosilicate-bearing trough that parallels the ridge, dark-toned layered yardangs, light-toned yardangs, an upper mound unit, a thin mantle unit, and several lobate features on the northern flanks of the mound. Erosional unconformities suggest that the dark-toned layered yardang unit was significantly eroded prior to the deposition of the light-toned yardang-forming unit and the upper mound unit. Fan-shaped deposits of material from the dark-toned layered yardang unit extend onto the mound-skirting unit in some locations, suggesting that the skirting unit was emplaced prior to or during a period of significant erosion of the mound. A fan-shaped unit on the mound near the landing site appears to be an isolated patch of the mound-skirting unit, rather than an alluvial fan. The phyllosilicate-bearing unit has a morphology similar to aeolian bedforms, but appears to be indurated. This unit is visible only in the trough between the light-toned ridge and the mound and may be comprised of altered, aeolian-transported material, trapped by the trough and cemented. The lobate features on the northern flanks of the mound show some evidence of layering in MOC images, and may be due to landslides or glacial/periglacial processes. A streamlined texture on one of the lobate units may be due to fluvial activity or compositional banding in the unit. Some layers in the mound are traceable for >10 km, suggesting that a spring mound origin for the mound, which would produce facies changes over short distances, is unlikely. We were unable to rule out a lacustrine, aeolian or volcanic origin for the lower mound layers. We found apparent large-scale (100s of meters) cross-bedding in the layers of the upper mound unit, suggesting an aeolian origin. We have identified multiple traverses for Mars Science Laboratory that would provide access to the diverse features on the crater floor and the central mound and make full use of the rover's scientific payload to address the question of martian habitability.

Bierhaus E B, Chapman C R, Merline W J .

Secondary craters on Europa and implications for cratered surfaces

[J]. Nature, 2005,437:1125-1127.

DOI:10.1038/nature04069      URL     PMID:16237437      [本文引用: 1]

Abstract For several decades, most planetary researchers have regarded the impact crater populations on solid-surfaced planets and smaller bodies as predominantly reflecting the direct ('primary') impacts of asteroids and comets. Estimates of the relative and absolute ages of geological units on these objects have been based on this assumption. Here we present an analysis of the comparatively sparse crater population on Jupiter's icy moon Europa and suggest that this assumption is incorrect for small craters. We find that 'secondaries' (craters formed by material ejected from large primary impact craters) comprise about 95 per cent of the small craters (diameters less than 1 km) on Europa. We therefore conclude that large primary impacts into a solid surface (for example, ice or rock) produce far more secondaries than previously believed, implying that the small crater populations on the Moon, Mars and other large bodies must be dominated by secondaries. Moreover, our results indicate that there have been few small comets (less than 100 m diameter) passing through the jovian system in recent times, consistent with dynamical simulations.

Dundas C M, McEwen A S .

Rays and secondary craters of Tycho

[J]. Icarus, 2007,186(1):31-40.

DOI:10.1016/j.icarus.2006.08.011      URL     [本文引用: 2]

The large, fresh crater Tycho in the nearside lunar highlands has an extensive system of bright rays covering approximately 560,000 km 2, containing dense clusters of secondary craters. Examination of crater densities in several clusters shows that Tycho produced almost 10 6 secondary craters larger than 63 m diameter. This is a lower limit, because small crater densities are reduced, most likely by mass wasting. We estimate a crater erasure rate of 2 6 cm/Myr, varying with crater size, and consistent with previous results. This process has removed many small craters, and it is probable that the original number of secondary craters formed by Tycho was higher. Also, we can only identify distant secondaries of Tycho where they occur in bright rays. Craters on Mars and Europa also formed large numbers of secondaries, but under possibly ideal conditions for spallation as a mechanism to produce high-velocity ejecta fragments. The results from Tycho show that large numbers of such fragments can be produced even from impact into a heavily fragmented target on which spallation is expected to be less important.

Hartmann W K, Neukum G .

Cratering chronology and evolution of Mars

[J]. Space Science Reviews, 2001,96(1-4):165-194.

DOI:10.1007/978-94-017-1035-0_6      URL     [本文引用: 1]

Results by Neukum et al. (2001) and Ivanov (2001) are combined with crater counts to estimate ages of Martian surfaces. These results are combined with studies of Martian meteorites (Nyquist et al. , 2001) to establish a rough chronology of Martian history. High crater densities in some areas, together with the existence of a 4.5 Gyr rock from Mars (ALH84001), which was weathered at about 4.0 Gyr, affirm that some of the oldest surfaces involve primordial crustal materials, degraded by various processes including megaregolith formation and cementing of debris. Small craters have been lost by these processes, as shown by comparison with Phobos and with the production function, and by crater morphology distributions. Crater loss rates and survival lifetimes are estimated as a measure of average depositional/erosional rate of activity. We use our results to date the Martian epochs defined by Tanaka (1986). The high crater densities of the Noachian confine the entire Noachian Period to before about 3.5 Gyr. The Hesperian/Amazonian boundary is estimated to be about 2.9 to 3.3 Gyr ago, but with less probability could range from 2.0 to 3.4 Gyr. Mid-age dates are less well constrained due to uncertainties in the Martian cratering rate. Comparison of our ages with resurfacing data of Tanaka et al. (1987) gives a strong indication that volcanic, fluvial, and periglacial resurfacing rates were all much higher in approximately the first third of Martian history. We estimate that the Late Amazonian Epoch began a few hundred Myr ago (formal solutions 300 to 600 Myr ago). Our work supports Mariner 9 era suggestions of very young lavas on Mars, and is consistent with meteorite evidence for Martian igneous rocks 1.3 and 0.2 0.3 Gyr old. The youngest detected Martian lava flows give formal crater retention ages of the order 10 Myr or less. We note also that certain Martian meteorites indicate fluvial activity younger than the rocks themselves, 700 Myr in one case, and this is supported by evidence of youthful water seeps. The evidence of youthful volcanic and aqueous activity, from both crater-count and meteorite evidence, places important constraints on Martian geological evolution and suggests a more active, complex Mars than has been visualized by some researchers.

Kumar P S, Kumar A S, Keerthi V , et al.

Chandrayaan-1 observation of distant secondary craters of Copernicus exhibiting central mound morphology:Evidence for low velocity clustered impacts on the Moon

[J]. Planetary and Space Science, 2011,59(9):870-879.

DOI:10.1016/j.pss.2011.04.004      URL     [本文引用: 3]

Analysis of the Chandrayaan-1 Terrain Mapping Camera image of a 2002km×2702km area in the Mare Imbrium region revealed a cluster of thousands of fresh and buried impact craters in the size range of 20–130002m. A majority of the large fresh craters with diameter ranging from 160 to 127002m exhibit near-circular mounds (30–33502m diameter and 10–4002m height) in the crater floor, and their size depends on the host crater size. The origin of this cluster of secondary craters may be traced to Copernicus crater, based on global lunar image and the analysis of Chandrayaan-1 Hyper Spectral Imager data. Our findings provide further evidence for secondary crater formation by low-velocity impact of a cloud of clustered fragments. The presence of central mounds can also distinguish the secondary craters from the primary craters and refine the chronology of lunar surface based on counting of small craters.Highlights? A distal ray of Copernicus crater contains a cluster of thousands of secondary craters. ? Central mound bearing secondary craters are abundant and are deeper than regolith. ? Central mound craters were produced by low velocity clustered impacts. ? The crater clusters are spectrally similar to Copernicus crater ejecta. ? The central mound craters should be excluded from crater counting dating.

McEwen A S, Bierhaus E B .

The importance of secondary cratering to age constraints on planetary surfaces

[J]. Annual Review of Earth and Planetary Sciences, 2006,34(1):535-567.

DOI:10.1146/annurev.earth.34.031405.125018      URL     [本文引用: 1]

Small craters (less than one kilometer diameter) can be primary craters produced by impact of interplanetary debris, or they can be secondary craters produced by fallback of high-velocity ejecta blocks from much larger but infrequent primary impacts. The prevalent assumption over recent decades has been that primaries are most abundant, so most small craters are independent random events and can be used for dating. However, recent results from Europa and Mars support the early theory that distant secondaries globally dominate the number of small lunar craters; this would invalidate part of production functions that have been widely used for age dating. Crater excavation results in higher mean ejection velocities for smaller fragments, resulting in a steeper size-frequency distribution for secondary craters than is produced by the same size-frequency distribution of interplanetary debris. This review also discusses how small craters can sometimes be used to derive meaningful age constraints.

Pike R J, Wilhelms D E.

Secondary-impact craters on the Moon:Topographic form and geologic process

[C]// Lunar and Planetary Science Conference. Houston, 1978,9:907-909.

[本文引用: 1]

Robbins S J, Hynek B M .

Distant secondary craters from Lyot crater,Mars,and implication for surface ages for surface ages of planetary bodies

[J]. International Journal of Remote Sensing, 2011,27(8):1677-1690.

DOI:10.1080/01431160500406896      URL     [本文引用: 1]

The population of secondary craters - craters formed by the ejecta from an initial impact event - is important to understand when deriving the age of a solid body's surface. Only one crater on Mars, Zunil, has been studied in-depth to examine the distribution, sizes, and number of these features. Here, we present results from a much larger and older Martian crater, Lyot, and we find secondary crater clusters at least 5200 km from the primary impact. Individual craters with diameters >800 m number on the order of 10. Unlike the previous results from Zunil, these craters are not contained in obvious rays, but they are linked back to Lyot due to the clusters' alignment along great circles that converge to a common origin. These widespread and abundant craters from a single impact limit the accuracy of crater age-dating on the Martian surface and beyond.

Oberbeck V R, Morrison R H.

The secondary crater Herringbone pattern

[C]// Lunar and Planetary Science Conference.Texas, 1973,4:570-571.

[本文引用: 2]

Oberbeck V R, Morrison R H .

Laboratory simulation of the herringbone pattern associated with lunar secondary crater chains

[J]. Moon, 1974,9(3-4):415-455.

DOI:10.1007/BF00562581      URL     [本文引用: 2]

V-shaped ridge components of the herringbone pattern associated with lunar secondary crater chains have been simulated by simultaneous and nearly simultaneous impact of two projectiles near one another. The impact velocities and angles of the projectiles were similar to those of the fragments that produced secondary craters found at various ranges from large lunar craters. Variables found to affect the included angles of the V-shaped ridges are: relative time of impact of the projectiles, impact angle, relative projectile mass, and azimuth angle of the crater chain relative to the projection of the flight line onto the target surface. The functional relationships between the forms of the ridges and many of these variables are similar to those observed for lunar V-shaped ridges. Comparison of the magnitudes of the ridge angles of both laboratory crater pairs and secondary crater chains of the crater Copernicus implies that material was ejected from Copernicus at angles in excess of 60 , measured from the normal, to form many of Copernicus' satellitic craters. Moreover, other independent calculations presented indicate that many of the fragments that produced secondary craters also ricocheted to produce tertiary craters. Application of the study to identification of isolated secondary craters and to the determination of the origin of large lunar craters is discussed.

Shoemaker E M.

Preliminary analysis of the fine structure of the lunar surface in Mare Cognitum

[C]// Hess W N, Menzel D H, O’Keefe J A. The Nature of the Lunar Surface. Baltimore: Johns Hopkins Press, 1965,2:33-77.

[本文引用: 1]

Bart G D, Melosh H J .

Using lunar boulders to distinguish primary from distant secondary impact craters

[J]. Geophysical Research Letters, 2007,34(7):1-5.

DOI:10.1029/2007GL030402      URL     [本文引用: 1]

Figure 2. A crater in Apollo 17 panoramic camera photograph number 2345 is surrounded by boulders. This crater is likely a distant secondary crater of Burg, a 39.1 km diameter crater on the northeast edge of Mare Serenitatis. The sun shines from the left in this photograph; the right wall of the crater is illuminated, and boulder shadows fall to the right.

McEwen A S, Preblich B S, Turtle E P , et al.

The rayed crater Zunil and interpretations of small impact craters on Mars

[J]. Icarus, 2005,176(2):351-381.

DOI:10.1016/j.icarus.2005.02.009      URL     [本文引用: 1]

A 10-km diameter crater named Zunil in the Cerberus Plains of Mars created 65 10 7 secondary craters 10 to 200 m in diameter. Many of these secondary craters are concentrated in radial streaks that extend up to 1600 km from the primary crater, identical to lunar rays. Most of the larger Zunil secondaries are distinctive in both visible and thermal infrared imaging. MOC images of the secondary craters show sharp rims and bright ejecta and rays, but the craters are shallow and often noncircular, as expected for relatively low-velocity impacts. About 80% of the impact craters superimposed over the youngest surfaces in the Cerberus Plains, such as Athabasca Valles, have the distinctive characteristics of Zunil secondaries. We have not identified any other large (8210 km diameter) impact crater on Mars with such distinctive rays of young secondary craters, so the age of the crater may be less than a few Ma. Zunil formed in the apparently youngest (least cratered) large-scale lava plains on Mars, and may be an excellent example of how spallation of a competent surface layer can produce high-velocity ejecta (Melosh, 1984, Impact ejection, spallation, and the origin of meteorites, Icarus 59, 234–260). It could be the source crater for some of the basaltic shergottites, consistent with their crystallization and ejection ages, composition, and the fact that Zunil produced abundant high-velocity ejecta fragments. A 3D hydrodynamic simulation of the impact event produced 10 10 rock fragments 8210 cm diameter, leading to up to 10 9 secondary craters 8210 m diameter. Nearly all of the simulated secondary craters larger than 50 m are within 800 km of the impact site but the more abundant smaller (10–50 m) craters extend out to 3500 km. If Zunil is representative of large impact events on Mars, then secondaries should be more abundant than primaries at diameters a factor of 651000 smaller than that of the largest primary crater that contributed secondaries. As a result, most small craters on Mars could be secondaries. Depth/diameter ratios of 1300 small craters (10–500 m diameter) in Isidis Planitia and Gusev crater have a mean value of 0.08; the freshest of these craters give a ratio of 0.11, identical to that of fresh secondary craters on the Moon (Pike and Wilhelms, 1978, Secondary-impact craters on the Moon: topographic form and geologic process, Lunar Planet. Sci. IX, 907–909) and significantly less than the value of 650.2 or more expected for fresh primary craters of this size range. Several observations suggest that the production functions of Hartmann and Neukum (2001, Cratering chronology and the evolution of Mars, Space Sci. Rev. 96, 165–194) predict too many primary craters smaller than a few hundred meters in diameter. Fewer small, high-velocity impacts may explain why there appears to be little impact regolith over Amazonian terrains. Martian terrains dated by small craters could be older than reported in recent publications.

Wells K S, Campbell D B, Campbell B A , et al.

Detection of small lunar secondary craters in circular polarization ratio Radar images

[J]. Journal of Geophysical Research, 2010,115(e6):258-273.

DOI:10.1029/2009JE003491      URL     [本文引用: 1]

[1] The identification of small (D < a few kilometers) secondary craters and their global distributions are of critical importance to improving our knowledge of surface ages in the solar system. We investigate a technique by which small, distal secondary craters can be discerned from the surrounding primary population of equivalent size based on asymmetries in their ejecta blankets. The asymmetric ejecta blankets are visible in radar circular polarization ratio (CPR) but not as optical albedo features. Measurements with our new technique reveal 94 secondary craters on the Newton and Newton-A crater floors near the lunar south pole. These regions are not in an obvious optical ray, but the orientation of asymmetric secondary ejecta blankets suggests that they represent an extension of the Tycho crater ray that crosses Clavius crater. Including the secondary craters at Newton and Newton-A skews the terrain age inferred by crater counts. It is reduced by few percentages by their removal, from 3.8 to 3.75 Gyr at Newton-A. Because 090008hidden rays090009 like that identified here may also occur beyond the edges of other optically bright lunar crater rays, we assess the effect that similar but hypothetical populations would have on lunar terrains of various ages. The average secondary crater density measured at 1 km diameter is equivalent to the crater density at 1 km on a 3.4 Gyr surface [Neukum et al., 2001]. Younger surfaces (i.e., younger crater ejecta blankets) would be dominated by secondary craters below 1 km if superposed by a hidden ray.

Honda C, Kinoshita T, Hirata N, et al.

Detection abilities of secondary craters based on the clustering analysis and Voronoi diagram

[C]// European Planetary Science Congress.Portugal, 2014,9:119.

[本文引用: 1]

Boyed A K, Robinson M S, Sato H.

Lunar reconnaissance orbiter wide angle camera photometry:An empirical solution

[C]// 43rd Lunar and Planetary Science Conference.Texas, 2012,43:2795.

[本文引用: 1]

Hartmann W K .

Does crater "saturation equilibrium" occur in the solar system?

[J]. Icarus, 1984,60(1):56-74.

DOI:10.1016/0019-1035(84)90138-6      URL     [本文引用: 1]

Similarity is found in crater densities on the most heavily cratered surfaces throughout the solar system. This is hypothesized to result from a steady-state “saturation equilibrium” being approached or achieved by cratering processes. This hypothesis conflicts with some recent interpretations. However, it accounts for (1) a similarity in maximum relative crater density, below certain theoretically predicted values, on all heavily cratered surfaces; (2) a leveling off at this same relative density among 100-m scale (secondary?) craters in populations on lunar maria and other sparsely cratered lunar surfaces; (3) the approximate uniformity of maximum relative densities on Saturn satellites (in spite of dramatic variations predicted from nonsaturation models assuming heliocentric impactors). The lunar frontside upland crater population, sometimes described as a well-preserved production function useful for interpreting other planetary surfaces, is found not to be a production function. It was modified by intercrater plains formed (at least partly) by early upland basaltic lava flooding, recently confirmed spectrophotometrically. Consistent with this, counts in “pure uplands” (those lacking intercrater plains) match the proposed saturation equilibrium density. Variations among large ( D > 64 km) crater populations are found, but these may involve several hypothesized mechanisms that rapidly obliterate large craters, especially on icy surfaces. Recent models, in which different populations of interplanetary bodies hit different planets, need further appraisal.

Hartmann W K, Berman D C, Betts B H .

Landing site studies using high resolution MGS crater counts and Phobos-2 Termoskan data

[J]. Second Mars Surveyor Landing Site Workshop, 1999: 55.

URL     [本文引用: 1]

We have examined a number of potential landing sites to study effects associated with impact crater populations. We used Mars Global Surveyor high resolution MOC images, and emphasized "ground truth" by calibrating with the MOC images of Viking 1 and Pathfinder sites. An interesting result is that most of Mars (all surfaces with model ages older than 100 My) have small crater populations in saturation equilibrium below diameters D approx. = 60 meters (and down to the smallest resolvable, countable sizes, approx. = 15 m). This may have consequences for preservation of surface bedrock exposures accessible to rovers. In the lunar maria, a similar saturation equilibrium is reached for crater diameters below about 300 meters, and this has produced a regolith depth of about 10-20 meters in those areas. Assuming linear scaling, we infer that saturation at D approx. = 60 m would produce gardening and Martian regolith, or fragmental layers, about 2 to 4 meters deep over all but extremely young surfaces (such as the very fresh thin surface flows in southern Elysium Planitia, which have model ages around 10 My or less). This result may explain the global production of ubiquitous dust and fragmental material on Mars. Removal of fines may leave the boulders that have been seen at all three of the first landing sites. Accumulation of the fines elsewhere produces dunes. Due to these effects, it may be difficult to set down rovers in areas where bedrock is well preserved at depths of centimeters, unless we find cliff sides or areas of deflation where wind has exposed clean surfaces (among residual boulders?) We have also surveyed the PHOBOS 2 Termoskan data to look for regions of thermal anomalies that might produce interesting landing sites. For landing site selection, two of the more interesting types of features are thermally distinct ejecta blankets and thermally distinct channels and valleys. Martian "thermal features" such as these that correlate closely with nonaeolian geologic features are extremely rare, presumably due to reworking of the surface as discussed above, and due to aeolian processes. Thermally distinct ejecta blankets are excellent potential future locations for landers, as well as remote sensing, because they represent relatively dust free exposures of material excavated from depth. However, few, if any meet the current constraints on elevation for Mars '01. Thermally distinct channels, which tend to have fretted morphologies, and are higher in inertia than their surroundings, offer a unique history and probable surface presence of material from various stratigraphic layers and, locations, views of the surrounding walls, and possible areas of past standing water, flowing water, or increased amounts of diffusing water. Any presence of water (e.g., diffusing may have enhanced duricrust formation in the channels, thus increasing the thermal inertias (flowing water may alternatively have enhanced rock deposition, which also could explain the inertia enhancements instead of crust formation). Some of the thermally distinct channels do meet the elevation criteria for '01. We are looking particularly at the relatively flat areas at the northern end of Hydraotes Chaos (eastern end of Valles Marineris), near the beginnings of Tiu and Simud Valles, which appear to meet most all of the current '01 landing criteria. For thermally distinct channels, valleys, and ejecta blankets, we have searched and continue to search for MOC images that may help clarify their characteristics and assist with potential landing site characterization.

Chapman C R, Mckinnon W B. Cratering of planetary satellites[M] // Burns J A, Matthews M S. Satellites.Tucson: University of Arizona Press, 1986: 492-580.

[本文引用: 1]

Allen C C .

Large lunar secondary craters:Size-range relationships

[J]. Geophysical Research Letters, 1979,6(1):51-54.

DOI:10.1029/GL006i001p00051      URL     [本文引用: 1]

The relationship between primary crater diameter and mean maximum secondary crater diameter for lunar craters is essentially linear for primary diameters from 0.5 to 260 km. The mean range from the primary to the largest secondary craters is also nearly linearly related to primary diameter. Extrapolation of these results to lunar basin scale supports the contention that basin secondaries of large diameter are to be found across much of the Moon.

Melosh H J. Impact Cratering:A Geologic Process[M]. New York: Oxford University Press, 1989.

[本文引用: 1]

Schultz P H, Singer J.

A comparison of secondary craters on the Moon,Mercury,and Mars

[C]// Lunar and Planetary Science Conference Proceedings.Texas, 1980,11:2243-2259.

[本文引用: 1]

Zhou S Z, Xiao Z Y, Zeng Z X .

Impact craters with circular and isolated secondary craters on the continuous secondaries facies on the Moon

[J]. Journal of Earth Science, 2015,26(5):740-745.

DOI:10.1007/s12583-015-0579-y      URL     [本文引用: 3]

On airless bodies such as the Moon and Mercury, secondary craters on the continuous secondaries facies of fresh craters mostly occur in chains and clusters. They have very irregular shapes. Secondaries on the continuous secondaries facies of some Martian and Mercurian craters are more isolated from each other in distribution and are more circular in shape, probably due to the effect of target properties on the impact excavation process. This paper studies secondaries on the continuous secondaries facies of all fresh lunar complex craters using recently-obtained high resolution images. After a global search, we find that 3 impact craters and basins on the Moon have circular and isolated secondaries on the continuous secondaries facies similar to those on Mercury: the Orientale basin, the Antoniadi crater, and the Compton crater. The morphological differences between such special secondaries and typical lunar secondaries are quantitatively compared and analyzed. Our preliminary analyses suggest that the special secondaries were probably caused by high temperature gradients within the local targets when these craters and basins formed. The high-temperature of the targets could have affected the impact excavation process by causing higher ejection angles, giving rise to more scattered circular secondaries.

Calef III F J, Herrick R R, Sharpton V L .

Geomorphic analysis of small rayed craters on Mars:Examining primary versus secondary impacts

[J]. Journal of Geophysical Research, 2009,114(e10):538-549.

DOI:10.1029/2008JE003283      URL     [本文引用: 2]

[1] Twenty confirmed impacts over a 7-year time period on Mars were qualitatively and statistically compared to 287 secondary craters believed to originate from Zunil, an 090804500 ka, 10-km diameter, primary crater. Our goal was to establish criteria to distinguish secondaries from primaries in the general crater population on the basis of their horizontal planforms. Recent primary impacts have extensive 090008air blast090009 zones, distal ray systems (>100 crater radii, R), and ephemeral ejecta. Recent primaries formed clusters of craters from atmospheric fragmentation of the meteoroid body. Secondary craters have ejecta blankets with shorter rays that are consistent with emplacement by low-impact velocities (near 1 km/s). The mean extent of the continuous ejecta blankets was less distal for secondaries (5.38 00± 1.57R) versus primaries (18.07 00± 7.01R), though primary ejecta were less fractal (Fractal Dimension Index (FDI) < 1.30) and more circular on average (Circularity Ratio (CR) = 0.55 00± 0.25 versus 0.27 00± 0.13 for secondaries). Crater rims were remarkably circular (primaries CR = 0.97 00± 0.02, secondaries at 0.94 00± 0.05), though secondaries have the lowest values (CR < 0.9). Secondary crater rims were elongated toward or orthogonal to their primary of origin. Uprange source directions for most secondaries, determined by ejecta planform and crater rim ellipticity, point toward Zunil, although contamination from other primaries is considered in some areas. Ejecta blanket discrepancies between recent primaries and Zunil secondaries are attributable to differences in impact velocity and retention age. After removal of the ejecta blanket, crater rims are generally not diagnostic for determining crater origin. Fragmentation of primaries may play some role in steepening the size-frequency distribution of crater diameters in the 5 m < D < 30 m range.

Guo D J, Liu J Z, Head J W.

Spatial distribution and geometrics of orientale secondary crater

[C]// Lunar and Planetary Science Conference.Texas, 2017,2560.

[本文引用: 2]

Nagumo K, Nakamura A M .

Reconsideration of crater size-frequency distribution on the Moon:Effect of projectile population and secondary craters

[J]. Advances in Space Research, 2001,28(8):1181-1186.

DOI:10.1016/S0273-1177(01)00488-4      URL     [本文引用: 2]

The crater size-frequency distribution curve for the lunar surface has a bending point near 4 km in diameter. It is suggested that the steepening in the smaller diameter range is caused by the effects of secondary craters and/or size-frequency distribution of the impactors. In order to extract the fraction of the primary craters created by Near Earth Objects, among the primary-secondary mixture of km-size craters, we have examined the crater shape statistics using Clementine images of the lunar surface. We found that the size-frequency distribution of the craters with ellipticity smaller than 1.2 can be considered primary craters generated by impactors from interplanetary space.

Moutsoulas M, Preka P .

Morphological characteristics of lunar craters with moderate depth/diameter ratio.II-d/D between 0.12 and 0.15

[J]. Moon and the Planets, 1981,25(1):51-66.

DOI:10.1007/BF00911808      URL     [本文引用: 2]

Basilevsky A T, Kozlova N A, Zavyalov I Y , et al.

Morphometric studies of the Copernicus and Tycho secondary craters on the Moon:Dependence of crater degradation rate on crater size

[J]. Planetary and Space Science, 2017: 1-10.

[本文引用: 2]

Grant J A, Arvidson R E, Crumpler L S , et al.

Crater gradation in Gusev crater and Meridiani Planum,Mars

[J]. Journal of Geophysical Research Planets, 2006,111(e2):516-531.

DOI:10.1029/2005JE002465      URL     [本文引用: 2]

The Mars Exploration Rovers investigated numerous craters in Gusev crater and Meridiani Planum during the first ~400 sols of their missions. Craters vary in size and preservation state but are mostly due to secondary impacts at Gusev and primary impacts at Meridiani. Craters at both locations are modified primarily by eolian erosion and infilling and lack evidence for modification by aqueous processes. Effects of gradation on crater form are dependent on size, local lithology, slopes, and availability of mobile sediments. At Gusev, impacts into basaltic rubble create shallow craters and ejecta composed of resistant rocks. Ejecta initially experience eolian stripping, which becomes weathering-limited as lags develop on ejecta surfaces and sediments are trapped within craters. Subsequent eolian gradation depends on the slow production of fines by weathering and impacts and is accompanied by minor mass wasting. At Meridiani the sulfate-rich bedrock is more susceptible to eolian erosion, and exposed crater rims, walls, and ejecta are eroded, while lower interiors and low-relief surfaces are increasingly infilled and buried by mostly basaltic sediments. Eolian processes outpace early mass wasting, often produce meters of erosion, and mantle some surfaces. Some small craters were likely completely eroded/buried. Craters >100 m in diameter on the Hesperian-aged floor of Gusev are generally more pristine than on the Amazonian-aged Meridiani plains. This conclusion contradicts interpretations from orbital views, which do not readily distinguish crater gradation state at Meridiani and reveal apparently subdued crater forms at Gusev that may suggest more gradation than has occurred.

Pike R J .

Crater dimensions from Apollo data and supplemental sources

[J]. Moon, 1976,15(3-4):463-477.

DOI:10.1007/BF00562253      URL     [本文引用: 4]

A catalog of crater dimensions that were compiled mostly from the new Apollo-based Lunar Topographic Orthophotomaps is presented in its entirety. Values of crater diameter, depth, rim height, flank width, circularity, and floor diameter (where applicable) are tabulated for a sample of 484 craters on the Moon and 22 craters on Earth. Systematic techniques of mensuration are detailed. The lunar craters range in size from 400 m to 300 km across and include primary impact craters of the main sequence, secondary impact craters, craterlets atop domes and cones, and dark-halo craters. The terrestrial craters are between 10 m and 22.5 km in diameter and were formed by meteorite impact.

Watters W A, Collins G S, Hundal C, et al.

Dependence of secondary crater shape on impact velocity

[C]// 79th Annual Meeting of the Meteoritical Society.Berlin, 2016,1921:6502.

[本文引用: 2]

Pike R J .

Geometric Interpretation of Lunar Craters

[M]. Washington:Washington U.S.Government Printing Office, 1980.

[本文引用: 2]

Schenk P M, Ridolfi F J .

Morphology and scaling of ejecta deposits on Icy satellites

[J]. Geophysical Research Letters, 2002,29(12):1-4.

DOI:10.1029/2001GL013512      URL     [本文引用: 1]

Continuous ejecta deposits on Ganymede consist of two major units, or facies: a thick inner hummocky pedestal facies, and a relatively thin outer radially scoured facies defined also by the inner limit of the secondary crater field. Both ejecta facies have a well-defined power-law relationship to crater diameter for craters ranging from 15 to ~600 km across. This relationship can be used to estimate the nominal crater diameter for impact features on icy satellites (such as palimpsests and multiring basins) for which the crater rim is no longer recognizable. Ejecta deposits have also been mapped on 4 other icy satellites. Although morphologically similar to eject deposits on the Moon, ejecta deposits for smaller craters are generally significantly broader in extent on the icy satellites, in apparent defiance of predictions of self-similarity. A greater degree of rim collapse and enlargement on the Moon may explain the observed difference.

Bierhaus E B, Dones L, Alvarellos J L , et al.

The role of ejecta in the small crater populations on the mid-sized saturnian satellites

[J]. Icarus, 2011,218(1):602-621.

DOI:10.1016/j.icarus.2011.12.011      URL     [本文引用: 1]

We find evidence, by both observation and analysis, that primary crater ejecta play an important role in the small crater (less than a few km) populations on the saturnian satellites, and more broadly, on cratered surfaces throughout the Solar System. We measure crater populations in Cassini images of Enceladus, Rhea, and Mimas, focusing on image data with scales less than 500m/pixel. We use recent updates to crater scaling laws and their constants (Housen, K.R., Holsapple, K.A. [2011]. Icarus 211, 856–875) to estimate the amount of mass ejected in three different velocity ranges: (i) greater than escape velocity, (ii) less than escape velocity and faster than the minimum velocity required to make a secondary crater (vmin), and (iii) velocities less than vmin. Although the vast majority of mass on each satellite is ejected at speeds less than vmin, our calculations demonstrate that the differences in mass available in the other two categories should lead to observable differences in the small crater populations; the predictions are borne out by the measurements we have made to date. In particular, Rhea, Tethys, and Dione have sufficient surface gravities to retain ejecta moving fast enough to make secondary crater populations. The smaller satellites, such as Enceladus but especially Mimas, are expected to have little or no traditional secondary populations because their escape velocities are near the threshold velocity necessary to make a secondary crater. Our work clarifies why the Galilean satellites have extensive secondary crater populations relative to the saturnian satellites. The presence, extent, and sizes of sesquinary craters (craters formed by ejecta that escape into temporary orbits around Saturn before re-impacting the surface, see Dobrovolskis, A.R., Lissauer, J.J. [2004]. Icarus 169, 462–473; Alvarellos, J.L., Zahnle, K.J., Dobrovolskis, A.R., Hamill, P. [2005]. Icarus 178, 104–123; Zahnle, K., Alvarellos, J.L., Dobrovolskis, A.R., Hamill, P. [2008]. Icarus 194, 660–674) is not yet well understood. Finally, our work provides further evidence for a “shallow” size–frequency distribution (slope index of 652 for a differential power-law) for comets a few kilometers diameter and smaller.

Nyquist L E, Bogard D D, Shih C Y , et al.

Ages and geologic histories of Martian meteorites

[J]. Space Science Reviews, 2001,96(1-4):105-164.

DOI:10.1023/A:1011993105172      URL     [本文引用: 1]

We review the radiometric ages of the 16 currently known Martian meteorites, classified as 11 shergottites (8 basaltic and 3 lherzolitic), 3 nakhlites (clinopyroxenites), Chassigny (a dunite), and the orthopyroxenite ALH84001. The basaltic shergottites represent surface lava flows, the others magmas that solidified at depth. Shock effects correlate with these compositional types, and, in each case, they can be attributed to a single shock event, most likely the meteorite's ejection from Mars. Peak pressures in the range 15 – 45 GPa appear to be a "launch window": shergottites experienced 6530 – 45 GPa, nakhlites 6520 ± 5 GPa, Chassigny 6535 GPa, and ALH84001 6535 – 40 GPa. Two meteorites, lherzolitic shergottite Y-793605 and orthopyroxenite ALH84001, are monomict breccias, indicating a two-phase shock history in toto : monomict brecciation at depth in a first impact and later shock metamorphism in a second impact, probably the ejection event.Crystallization ages of shergottites show only two pronounced groups designated S 1 (65175 Myr), including 4 of 6 dated basalts and all 3 lherzolites, and S 2 (330 – 475 Myr), including two basaltic shergottites and probably a third according to preliminary data. Ejection ages of shergottites, defined as the sum of their cosmic ray exposure ages and their terrestrial residence ages, range from the oldest (6520 Myr) to the youngest (650.7 Myr) values for Martian meteorites. Five groups are distinguished and designated S Dho (one basalt, 6520 Myr), S L (two lherzolites of overlapping ejection ages, 3.94 ± 0.40 Myr and 4.70 ± 0.50 Myr), S (four basalts and one lherzolite, 652.7 – 3.1 Myr), S DaG (two basalts, 651.25 Myr), and S E (the youngest basalt, 0.73 ± 0.15 Myr). Consequently, crystallization age group S 1 includes ejection age groups S L , S E and 4 of the 5 members of S, whereas S 2 includes the remaining member of S and one of the two members of S DaG . Shock effects are different for basalts and lherzolites in group S/S 1 . Similarities to the dated meteorite DaG476 suggest that the two shergottites that are not dated yet belong to group S 2 . Whether or not S 2 is a single group is unclear at present. If crystallization age group S 1 represents a single ejection event, pre-exposure on the Martian surface is required to account for ejection ages of S L that are greater than ejection ages of S, whereas secondary breakup in space is required to account for ejection ages of S E less than those of S. Because one member of crystallization age group S 2 belongs to ejection group S, the maximum number of shergottite ejection events is 6, whereas the minimum number is 2.Crystallization ages of nakhlites and Chassigny are concordant at 651.3 Gyr. These meteorites also have concordant ejection ages, i.e., they were ejected together in a single event (NC). Shock effects vary within group NC between the nakhlites and Chassigny.The orthopyroxenite ALH84001 is characterized by the oldest crystallization age of 654.5 Gyr. Its secondary carbonates are 653.9 Gyr old, an age corresponding to the time of Ar-outgassing from silicates. Carbonate formation appears to have coincided with impact metamorphism, either directly, or indirectly, perhaps via precipitation from a transient impact crater lake.The crystallization age and the ejection age of ALH84001, the second oldest ejection age at 15.0 ± 0.8 Myr, give evidence for another ejection event (O). Consequently, the total number of ejection events for the 16 Martian meteorites lies in the range 4 – 8.The Martian meteorites indicate that Martian magmatism has been active over most of Martian geologic history, in agreement with the inferred very young ages of flood basalt flows observed in Elysium and Amazonis Planitia with the Mars Orbital Camera (MOC) on the Mars Global Surveyor (MGS). The provenance of the youngest meteorites must be found among the youngest volcanic surfaces on Mars, i.e., in the Tharsis, Amazonis, and Elysium regions.

Poelchau M H, Kenkmann T .

Asymmetric signatures in simple craters as an indicator for an oblique impact direction

[J]. Meteorisics and Planetary Science, 2010,43(12):2059-2072.

DOI:10.1111/j.1945-5100.2008.tb00661.x      URL     [本文引用: 1]

Abstract—In oblique impacts with an impact angle under 45°, the bilateral shape of the distal ejecta blanket is used as the strongest indicator for an impact vector. This bilateral symmetry is attenuated and is superimposed by radial symmetry towards the crater rim, which remains circular for impact angles down to 10–15°. The possibility that remnants of bilateral symmetry might still be present in the most proximal ejecta, the overturned flap and the crater rim was explored with the intention of deducing an impact vector. A model is presented that postulates bilateral patterns using proximal ejecta trajectories and predicts these patterns in the orientation of bedding planes in the crater rim. This model was successfully correlated to patterns described by radial grooves in the proximal ejecta blanket of the oblique Tooting crater on Mars. A new method was developed to detect structural asymmetries by converting bedding data into values that express the deviation from concentric strike orientation in the crater rim relative to the crater center, termed "concentric deviation." The method was applied to field data from Wolfe Creek crater, Western Australia. Bedding in the overturned flap implies an impactor striking from the east, which refines earlier publications, while bedding from the inner rim shows a correlation with the crater rim morphology.

Tsikalas F .

Mjølnir Crater as a Result of Oblique Impact:Asymmetry Evidence Constrains Impact Direction and Angle

[M]. Springer Berlin Heidelberg, 2005: 285-306.

[本文引用: 1]

Wallis D, Burchell M J, Cook A C , et al.

Azimuthal impact directions from oblique impact crater morphology

[J]. Monthly Notices of the Royal Astronomical Society, 2005,359(3):1137-1149.

DOI:10.1111/mnr.2005.359.issue-3      URL     [本文引用: 1]

Shkuratov Y, Kaydash V, Rohacheva L , et al.

Comparison of lunar red spots including the crater copernicus

[J]. Icarus, 2016,272:125-139.

DOI:10.1016/j.icarus.2016.02.034      URL     [本文引用: 1]

The lunar red spots, Helmet, Hansteen Alpha, and the NW quadrant of the crater Copernicus, were selected for a complex comparative investigation of their characteristics measured by the spacecraft Clementine, LRO, and Chandrayaan-1. For the analysis we used the following parameters: the reflectanceA(750nm), color-ratioA(750nm)/A(415nm), parameter of optical micro-roughness (LRO WAC), parameters deduced from LRO Diviner data, optical maturityOMAT, abundance of FeO and TiO2(Clementine UVVIS and LRO WAC data), oxygen content determined using Lunar Prospector data, and parameters characterizing the 0.95- m and 2.2- m bands of Fe2+ions (crystal field bands), and 2.8- m band of H2O/OH and/or Fe2+ions. The red spots Helmet and Hansteen Alpha are considered to be extrusions of rhyolite composition, which can be attributed to the Nectarian period; we did not find contradictions of this assumption. As for the Copernicus red spot, this, perhaps, is a similar formation that has been destroyed by the impact. We demonstrate that the material of the Copernicus red spot probably has the same composition as the classical red spots Helmet and Hansteen Alpha. The distributions of the parameter of optical micro-roughness and optical maturityOMATshow that the Copernicus red anomaly was not formed during the long evolution of the lunar surface, but results from crater formation. We find several confirmations of the hypothesis that the Copernicus red spot can be a residual of a red material (possibly rhyolite) extrusion that was involved in the impact process. The red material could have been partially melted, crushed, and ejected to the crater's north-western vicinity. The described red asymmetry of the Copernicus ejecta can be related to the eccentricity, relative to the extrusion, of the impact and/or to the inclination of the impactor trajectory. The latter also is confirmed by an analysis of the region, which is based on the geological map shown in this paper.

Hirata N, Haruyama J, Ohtake M, et al.

Morphological analyses of Tycho crater with Kaguya data

[C]// Lunar and Planetary Science Conference.Texas, 2009,1514.

[本文引用: 1]

Hirata N, Haruyama J, Ohtake M, et al.

Remote sensing study of a large lunar crater Jackson

[C]// 41st Lunar and Planetary Science Conference.Texas, 2010,1533:1585.

[本文引用: 1]

Mustard J F, Pieters C M, Isaacson P J , et al.

Compositional diversity and geologic insights of the Aristarchus crater from Moon mineralogy mapper data

[J]. Journal of Geophysical Research Planets, 2011,116(e6):0-12.

DOI:10.1029/2010JE003726      URL     [本文引用: 1]

The Moon Mineralogy Mapper (M3) acquired high spatial and spectral resolution data of the Aristarchus Plateau with 140 m/pixel in 85 spectral bands from 0.43 to 3.0 m. The data were collected as radiance and converted to reflectance using the observational constraints and a solar spectrum scaled to the Moon-Sun distance. Summary spectral parameters for the area of mafic silicate 1 and 2 m bands were calculated from the M3 data and used to map the distribution of key units that were then analyzed in detail with the spectral data. This analysis focuses on five key compositional units in the region. (1) The central peaks are shown to be strongly enriched in feldspar and are likely from the upper plagioclase-rich crust of the Moon. (2) The impact melt is compositionally diverse with clear signatures of feldspathic crust, olivine, and glass. (3) The crater walls and ejecta show a high degree of spatial heterogeneity and evidence for massive breccia blocks. (4) Olivine, strongly concentrated on the rim, wall, and exterior of the southeastern quadrant of the crater, is commonly associated the impact melt. (5) There are at least two types of glass deposits observed: pyroclastic glass and impact glass. Copyright 2011 by the American Geophysical Union.

Öhman T, Kring D A .

Photogeologic analysis of impact melt-rich lithologies in Kepler crater that could be sampled by future missions

[J]. Journal of Geophysical Research, 2012,117(e12):295-306.

DOI:10.1029/2011JE003918      URL     [本文引用: 1]

[1] Kepler is a 31 km diameter Copernican age complex impact crater located on the nearside maria of the Moon. We used Lunar Reconnaissance Orbiter imagery and topographic data in combination with Kaguya terrain camera and other image data sets to construct a new geomorphologic sketch map of the Kepler crater, with a focus on impact melt-rich lithologies. Most of the interior melt rocks are preserved in smooth and hummocky floor materials. Smaller volumes of impact melt were deposited in rim veneer, interior and exterior ponds, and lobe-like overlapping flows on the upper crater wall. Based on shadow lengths, typical flows of melt-rich material on crater walls and the western rim flank are 09080410900095 m thick, and have yield strengths of 090804109000910 kPa. The melt rock distribution is notably asymmetric, with interior and exterior melt-rich deposits concentrated north and west of the crater center. This melt distribution and the similarly asymmetric ray distribution imply a slightly less than 4500° impact trajectory from the southeast. The exposed wall of Kepler displays distinct layering, with individual layers having typical thicknesses of 09080430900095 m. These are interpreted as flows of Procellarum mare basalts in the impact target. From the point of view of exploration, numerous fractures and pits in the melt-rich floor materials not only enable detailed studies of melt-related processes of impact crater formation, but also provide potential shelters for longer duration manned lunar missions.

/

京ICP备05055290号-2
版权所有 © 2015 《自然资源遥感》编辑部
地址:北京学院路31号中国国土资源航空物探遥感中心 邮编:100083
电话:010-62060291/62060292 E-mail:zrzyyg@163.com
本系统由北京玛格泰克科技发展有限公司设计开发