椭圆三维受限 (N+1)- 体问题中的对称彗星型周期轨道

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED Physica D: Nonlinear Phenomena Pub Date : 2024-11-12 DOI:10.1016/j.physd.2024.134426

Josep M. Cors , Miguel Garrido

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引用次数: 0

摘要

对于 N≥3，我们证明了在椭圆形三维受限 (N+1)- 体问题中，当 N 个基体质量相等并以 N 宫中心构型排列时，存在半径非常大的对称周期轨道。这些周期轨道接近于非常大的圆形开普勒轨道，几乎位于垂直于基体的平面上。无论主星的偏心率是多少，它们都存在于平均运动的离散值序列中。

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Symmetric comet-type periodic orbits in the elliptic three-dimensional restricted (N+1)-body problem

For

N \geq 3

, we show the existence of symmetric periodic orbits of very large radii in the elliptic three-dimensional restricted

(N + 1)

-body problem when the

N

primaries have equal masses and are arranged in a

N

-gon central configuration. These periodic orbits are close to very large circular Keplerian orbits lying nearly a plane perpendicular to that of the primaries. They exist for a discrete sequence of values of the mean motion, no matter the value of the eccentricity of the primaries.

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.