Retrograde near-circular periodic orbits near equatorial planes of small irregular bodies
Retrograde near-circular periodic orbits near equatorial planes of small irregular bodies
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小不规则天体赤道面附近的逆行近圆周期轨道
DOI：
10.1007/s10509-017-3148-2
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发表时间：
2017-08
影响因子：
1.9
通讯作者：
Li Junfeng
中科院分区：
文献类型：
--
作者：
Lan Lei;Yang Hongwei;Baoyin Hexi;Li Junfeng
研究周期轨道的稳定性对于小行星和彗星探测任务中停泊轨道的选择具有重要意义。本文讨论了小不规则天体近赤道面逆行近圆周期轨道（RNPOEP）的分岔和稳定性。基于多面体方法计算了六个物体的RNPOEP。结果表明，两个倍周期分岔（PDB）在某些天体的引力场中产生了环形不稳定区，在那里RNPOEP都是不稳定的。有些天体（如243 Ida）的引力场不稳定环区很宽，而有些天体（如216 Kleopatra）的引力场不稳定环区很窄。根据身体的形状，他们被分为两类。第一类天体具有关于x轴近似对称的直线形状，例如216克娄巴特拉。第二类天体具有关于y轴近似对称的拱形形状，例如243 Ida。为了提供洞察的不稳定的环形区域的范围内的主导因素，在分析中提出了简化的模型。具体地，双粒子链接模型用于第一类，而三粒子链接模型用于第二类。结果表明，简化模型的环形不稳定区在引力场中的分布与多面体模型相似。数值结果验证了质量分布主导的范围内的环形区域的两种类型的小天体。
Research on the stabilities of periodic orbits is useful for selection of parking orbits in asteroid and comet missions. In this paper, retrograde near-circular periodic orbits near equatorial planes (RNPOEP) of small irregular bodies are discussed, especially for their bifurcations and stabilities. RNPOEPs of six bodies are calculated based on a polyhedral method. The results reflect that two Period-Doubling Bifurcations (PDBs) cause the annular unstable regions, where RNPOEPs are all unstable, in the gravitational fields of some bodies. The unstable annular regions in the gravitational field of some bodies such as 243 Ida are wide, while those of some other bodies such as 216 Kleopatra are narrow. Based on the bodies’ shapes, they are classified as two categories. Bodies of the first category have straight shapes which are approximately symmetric about the x-axis, such as 216 Kleopatra. Bodies of the second category have arched shapes which are approximately symmetric about the y-axis, such as 243 Ida. In order to provide insight of the dominating factors for the range of unstable annular regions, simplified models are proposed in the analysis. Specifically, a double-particle-linkage model is used for the first category while a triple-particle-linkage model is used for the second category. It is found that the distribution of the unstable annular regions in the gravitational field of simplified models is similar to those of the polyhedral models. Numerical results validate that the mass distribution dominates the range of the annular regions for both types of small bodies.
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DOI：
10.1016/s0167-2789(03)00097-6
发表时间：
2003-07
期刊：
Physica D: Nonlinear Phenomena
影响因子：
--
作者：
F. Muñoz-Almaraz;E. Freire;J. Galán;E. Doedel;A. Vanderbauwhede
通讯作者：
F. Muñoz-Almaraz;E. Freire;J. Galán;E. Doedel;A. Vanderbauwhede
影响因子：
3.2
作者：
D. Scheeres;S. Ostro;R. Hudson;R. A. Werner
通讯作者：
D. Scheeres;S. Ostro;R. Hudson;R. A. Werner
哑铃形物体周围的平衡和周期性轨道
影响因子：
1.9
作者：
Li, Xiangyu;Qiao, Dong;Cui, Pingyuan
通讯作者：
Cui, Pingyuan
影响因子：
1.1
作者：
Yu Jiang;H. Baoyin
通讯作者：
Yu Jiang;H. Baoyin
影响因子：
1.6
作者：
R. A. Werner;D. Scheeres
通讯作者：
R. A. Werner;D. Scheeres