【摘要】 给出了受摄限制性三体问题平动点线性稳定性的一个判断条件。条件只与平动点切映像的特征方程系数有关,使用方便。用判断条件,讨论了Robe问题平动点在阻力摄动下的线性稳定性,得到了Hallan等给出的Robe问题平动点在阻力摄动下的线性稳定范围。并改进了Giordanoc等的结果。更多还原

【Abstract】 A criterion for the linear stability of the equilibrium points in the perturbedrestricted three-body problem is given. This criterion only depends on the coefficients ofthe characteristics equations of their tangent maps and is applied expediently. The linearstability of the equilibrium poiots in the Robe problem with drag is discussed by it. Thelinear stable region of the equilibrium points given by Hallan in the perturbed Robe problemwith drag is derived, and Giordanoc’s results are improved.更多还原