Application of the logarithmic Hamiltonian algorithm to the circular restricted three-body problem with some post-Newtonian terms

被引：16
|
作者：
Su, Xiang-Ning [1 ,2 ]
Wu, Xin [1 ,2 ]
Liu, Fu-Yao [3 ]
机构：
[1] Nanchang Univ, Dept Phys, Nanchang 330031, Peoples R China
[2] Nanchang Univ, Inst Astron, Nanchang 330031, Peoples R China
[3] Shanghai Lixin Univ Commerce, Sch Math & Informat, Shanghai 201600, Peoples R China
来源：
ASTROPHYSICS AND SPACE SCIENCE | 2016年 / 361卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Celestial mechanics; Symplectic integrator; Circular restricted three-body problem; Chaos; DYNAMICS; TRANSFORMATION; CONSTRUCTION; SYSTEMS;
D O I：
10.1007/s10509-015-2614-y
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
An implementation of a fourth-order symplectic algorithm to the logarithmic Hamiltonian of the Newtonian circular restricted three-body problem in an inertial frame is detailed. The logarithmic Hamiltonian algorithm produces highly accurate results, comparable to the non-logarithmic one. Its numerical performance is independent of an orbital eccentricity. However, it is not when some post-Newtonian terms are included in this problem. Although the numerical accuracy becomes somewhat poorer as the orbital eccentricity gets larger, it is still much higher than that of the non-logarithmic Hamiltonian algorithm. As a result, the present code can drastically eliminate the overestimation of Lyapunov exponents and the spurious rapid growth of fast Lyapunov indicators for high-eccentricity orbits in the Newtonian or post-Newtonian circular restricted three-body problem.
引用
收藏
页码：1 / 12
页数：12
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