Long-term capture orbits for low-energy space missions
Long-term capture orbits for low-energy space missions
复制标题
低能太空任务的长期捕获轨道
DOI：
10.1007/s10569-018-9843-7
复制
发表时间：
2018
影响因子：
1.6
通讯作者：
P. Teofilatto
中科院分区：
文献类型：
--
作者：
S. Carletta;M. Pontani;P. Teofilatto
这项研究的目的是确定围绕可能感兴趣的天体的自然长期捕获轨道的存在和特点。在三维圆形限制性三体问题的动力学框架下研究该问题。以前的二维轨道的数值计算工作提供了康利定理的数值证据，证明长期捕获轨道的拓扑位于轨道渐近周期天平动点轨道附近。这项工作旨在将以前的调查扩展到三维路径。在这种动力学背景下，存在一些特殊的轨道，如准周期轨道。这些可以作为动力学方程的线性展开的特殊解找到，并且即使使用非线性运动方程也已经被证明存在。长期捕获轨道的性质，从而调查的动力学条件，对应于渐近轨迹收敛到准周期轨道。分析的结果在两个参数的定义表征捕获条件和捕获策略的设计，引导航天器进入长期捕获轨道周围的一个主。这两个结果都通过三维非线性动力学的数值模拟，包括第四体摄动，特别是对木星-Ganymede系统和地月系统进行了验证。
This research aims at ascertaining the existence and characteristics of natural long-term capture orbits around a celestial body of potential interest. The problem is investigated in the dynamical framework of the three-dimensional circular restricted three-body problem. Previous numerical work on two-dimensional trajectories provided numerical evidence of Conley’s theorem, proving that long-term capture orbits are topologically located near trajectories asymptotic to periodic libration point orbits. This work intends to extend the previous investigations to three-dimensional paths. In this dynamical context, several special trajectories exist, such as quasiperiodic orbits. These can be found as special solutions to the linear expansion of the dynamics equations and have already been proven to exist even using the nonlinear equations of motion. The nature of long-term capture orbits is thus investigated in relation to the dynamical conditions that correspond to asymptotic trajectories converging into quasiperiodic orbits. The analysis results in the definition of two parameters characterizing capture condition and the design of a capture strategy, guiding a spacecraft into long-term capture orbits around one of the primaries. Both the results are validated through numerical simulations of the three-dimensional nonlinear dynamics, including fourth-body perturbation, with special focus on the Jupiter–Ganymede system and the Earth–Moon system.