• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Cosmic research >Generalized Restricted Circular Three-Body Problem as a Model for Dynamics of Binary Asteroids
【24h】

Generalized Restricted Circular Three-Body Problem as a Model for Dynamics of Binary Asteroids

机译：广义受限圆三体问题作为双小行星动力学模型

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Exploration of the Solar System has recently revealed the existence of a large number of asteroids with satellites, which has stimulated interest in studying the dynamics of such systems. This paper is dedicated to the analysis of the relative motion of a binary asteroid. The conditions of existence of such a system (i.e., when its components do not run away) are derived in the Introduction. Then it is assumed that the satellite has no significant effect on the motion of the main asteroid, the latter being modeled as a dumbbell-like precessing solid body. The equations of motion of this system are a two-parameter generalization of the corresponding equations of the restricted circular three-body problem. It is demonstrated that in the system under consideration there exist steady-state motions in which the small asteroid is equidistant from attracting centers at the ends of the dumbbell (an analog to triangle libration points). The conditions of existence of such motions are derived, and the positions with respect to the dumbbell are analyzed in detail. Examination of the stability of the triangle libration points is reduced to investigation of a characteristic equation of the sixth degree. The stability conditions are derived in the case when the main asteroid executes near-planar motion.
机译：对太阳系的探索最近揭示了存在大量带有卫星的小行星，这激发了人们对研究此类系统动力学的兴趣。本文致力于分析小行星的相对运动。导言中推导了这种系统的存在条件（即当其组件不失控时）。然后假定卫星对主小行星的运动没有重大影响，主小行星被建模为哑铃状的进动固体。该系统的运动方程是受限圆形三体问题的相应方程的两参数推广。结果表明，在所考虑的系统中，存在着稳态运动，其中小行星与哑铃末端的吸引中心等距（类似于三角形释放点）。得出这种运动的存在条件，并详细分析相对于哑铃的位置。减少了三角形释放点的稳定性的检查，以研究六度特征方程。稳定条件是在主小行星执行近平面运动的情况下得出的。

著录项

  • 来源
    《Cosmic research》 |2007年第5期|p.408-416|共9页
  • 作者

    V. V. Beletsky;

  • 作者单位

    Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaja pl. 4, Moscow, 125047, Russia;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 航天（宇宙航行）;
  • 关键词

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号