• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Celestial Mechanics and Dynamical Astronomy: An international journal of space dynamics >Evolution of the L1 halo family in the radial solar sail circular restricted three-body problem
【24h】

Evolution of the L1 halo family in the radial solar sail circular restricted three-body problem

机译：径向太阳帆圆形受限三体问题中L1晕族的演化

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

We present a detailed investigation of the dramatic changes that occur in the L1 halo family when radiation pressure is introduced into the Sun-Earth circular restricted threebody problem (CRTBP). This photo-gravitational CRTBP can be used to model the motion of a solar sail orientated perpendicular to the Sun-line. The problem is then parameterized by the sail lightness number, the ratio of solar radiation pressure acceleration to solar gravitational acceleration. Using boundary-value problem numerical continuationmethods and the AUTO software package (Doedel et al. in Int J Bifurc Chaos 1:493-520, 1991) the families can be fully mapped out as the parameter β is increased. Interestingly, the emergence of a branch point in the retrograde satellite family around the Earth at β ≈ 0.0387 acts to split the halo family into two new families. As radiation pressure is further increased one of these new families subsequently merges with another non-planar family at β ≈ 0.289, resulting in a third new family. The linear stability of the families changes rapidly at low values of β, with several small regions of neutral stability appearing and disappearing. By using existing methods within AUTO to continue branch points and period-doubling bifurcations, and deriving a new boundary-value problem formulation to continue the folds and Krein collisions, we track bifurcations and changes in the linear stability of the families in the parameter β and provide a comprehensive overview of the halo family in the presence of radiation pressure. The results demonstrate that even at small values of β there is significant difference to the classical CRTBP, providing opportunity for novel solar sail trajectories. Further, we also find that the branch points between families in the solar sail CRTBP provide a simple means of generating certain families in the classical case.
机译：当辐射压力引入太阳地球圆形受限三体问题（CRTBP）时，我们将对L1晕族发生的急剧变化进行详细研究。此光引力CRTBP可用于模拟垂直于太阳线定向的太阳帆的运动。然后通过帆亮度数，太阳辐射压力加速度与太阳重力加速度之比来对问题进行参数化。使用边界值问题数值连续方法和AUTO软件包（Doedel等人，Int J Bifurc Chaos 1：493-520，1991），随着参数β的增加，族可以被完全映射。有趣的是，地球周围逆行卫星族在β≈0.0387处出现分支点的作用是将晕圈族分为两个新的族。随着辐射压力的进一步增加，这些新族中的一个随后与另一个非平面族以β≈0.289合并，从而产生了第三个新族。族的线性稳定性在低β值时快速变化，并且出现和消失了几个小的中性稳定性区域。通过使用AUTO中的现有方法来继续分支点和周期加倍的分支，并推导新的边界值问题公式以继续折叠和Kerin碰撞，我们可以跟踪分支和参数β和中族的线性稳定性的变化。在存在辐射压力的情况下提供有关光环族的全面概述。结果表明，即使在较小的β值下，与经典的CRTBP仍存在显着差异，这为新颖的太阳帆轨迹提供了机会。此外，我们还发现，在太阳帆CRTBP中，家庭之间的分支点提供了一种在经典情况下生成某些家庭的简单方法。

著录项

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