含扁率J_2和J_3项的限制性三体问题平动点及其稳定性

Out-of-plane Equilibrium Points and Their Stability in the Restricted Three-body Problem with Oblateness of J_2 and J_3 Terms

限制性三体问题是天体力学非常重要的模型之一,扁率项对限制性三体问题的平动点具有一定的影响作用。用分析近似方法研究了含扁率J2和J3项的限制性三体问题在赤道平面外的平动点位置和稳定性。

The restricted three-body problem is one very important model in celestial mechanics. The oblateness influences equilibium points of the restricted three-body problem. This paper studies out- of-plane equilibrium points and their stability in the restricted three-body problem with oblateness of the J2 and J3 terms.