摘要
应用平动点理论研究了地月低能转移的发生条件和轨迹构造.由于空间双圆模型存在周期性扰动,传统的平动点概念不再适用;根据Hill瞬时边界的连接情况定义了等效平动点LL_1和LL_2.通过构造合适的Poincare截面以获得所有可能的月球捕获轨道的近月距和偏心率分布,从而获得了完全不同于Hill和圆型限制性三体问题的月面捕获能量.在空间双圆模型下,平动点和Halo轨道不变流形的渐近结构遭到破坏:到达或离开平动点的时间,由无穷转变为有限值;运动方向由双向变为单向.经由LL_1点穿越获得了最小能量的低能转移,借助LL_1-Halo轨道穿越得到了(M,N)-圈穿越轨道,经由LL_2点穿越获得了最小能量的弱稳定边界转移,借助LL_2-Halo轨道穿越得到了弱稳定边界逃逸和捕获窗口.最后,以地月转移和大幅值逆行轨道的切入为例,给出低能转移的小推力、脉冲和弱稳定边界等转移的实现方式.
The paper deals with the occurrence conditions and trajectory constructions for low-energy transfers in the cislunar space,from the views of libration point theories and nonlinear dynamical techniques.The classical concept of＂libration＂is unavailable for spatial bicircular model（SBCM） because of the time-dependent perturbations. So the equivalent equilibrium is defined according to the geometry of instantaneous Hill＇s boundary, i.e.,LL1 or LL2.The altitudes of periapsis and eccentricities of all the lunar capture trajectories are presented via the Poincare map,and the minimum energy to capture on the lunar surface is deduced which is quite different from ones obtained in circular restricted three-body problem（CR3BP） and Hill Models.The asymptotical behaviors of invariant manifolds flown from libration point or Halo orbit are destroyed by SBCM：the durations flown in and out of the libration point or Halo orbit have shifted from infinite to finite,and the directions have changed from reversible to nonreversing.The minimum energy cislunar transfer is acquired by the trajectory transiting LL1 point,and the（M,N）-loopy transiting trajectories are attained by transiting LL1-Halo orbits. Similarly,the minimum energy of weak stability boundary（WSB） transfer is induced by the trajectory transiting LL2 point,and the earth＇s escape and lunar capture windows for WSB transfers are yielded by transiting LL2-Halo orbits.All three transfer manners,as low-thrust,impulse and WSB,are applied to the transfer from Earth to Moon and the insertion of the distant retrograde orbit（DRO）.
出处
《力学学报》
EI
CSCD
北大核心
2010年第2期275-289,共15页
Chinese Journal of Theoretical and Applied Mechanics
