A numerical scheme to obtain periodic three-body orbits with finite angular momentum

IF 1.9 4区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

New Astronomy Pub Date : 2025-03-28 DOI:10.1016/j.newast.2025.102407

Xiaoming Li , Yueyan Tao , Xiaochen Li , Shijun Liao

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引用次数: 0

Abstract

The three-body problem is ubiquitous in various physical systems. Thousands of periodic orbits for the three-body problem with zero angular momentum were obtained in recent years. In this paper, we present a numerical scheme to obtain periodic orbits for the three-body problem with finite angular momentum. The proposed approach combines a continuation method and the Newton–Raphson method, which are implemented using Clean Numerical Simulation (CNS) for the integration of the equations of motion. The figure-eight periodic orbit and another newly found periodic orbit are taken to generate periodic orbits by continuously varying the angular momentum. The linear stability of these periodic orbits are investigated through Floquet theory. It is suggested that angular momentum plays a significant role in influencing the linear instability of periodic orbits. Our proposed numerical approach inspires the further research in the intricate dependence of the periodic orbits on the angular momentum, providing a powerful tool for investigating the nonlinear dynamics of the three-body problem.

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来源期刊

New Astronomy 地学天文-天文与天体物理

CiteScore

4.00

自引率

10.00%

发文量

109

审稿时长

13.6 weeks

期刊介绍： New Astronomy publishes articles in all fields of astronomy and astrophysics, with a particular focus on computational astronomy: mathematical and astronomy techniques and methodology, simulations, modelling and numerical results and computational techniques in instrumentation. New Astronomy includes full length research articles and review articles. The journal covers solar, stellar, galactic and extragalactic astronomy and astrophysics. It reports on original research in all wavelength bands, ranging from radio to gamma-ray.