Stability analysis of first order resonant periodic orbit

被引：4

作者：

Patel, Bhavika M. ^{[1
]}

Pathak, Niraj M. ^{[1
]}

Abouelmagd, Elbaz I. ^{[2
]}

机构：

[1] Dharmsinh Desai Univ, Fac Technol, Dept Math, Nadiad 387001, Gujarat, India

[2] Natl Res Inst Astron & Geophys NRIAG, Astron Dept, Celestial Mech & Space Dynam Res Grp CMSDRG, Cairo 11421, Helwan, Egypt

来源：

ICARUS | 2022年 / 387卷

基金：

中国国家自然科学基金;

关键词：

Periodic orbits; Separatrix; Order of resonance; Oblateness; Poincar? surface of section; RESTRICTED 3-BODY PROBLEM; LIBRATION POINTS;

D O I：

10.1016/j.icarus.2022.115165

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this work, the perturbed restricted three-body problem is investigated numerically. The problem is applied to three real systems: Saturn-Hyperion, Saturn-Titan, and Earth-Moon, for analyzing the stability of first order resonant periodic orbits. In particular, the nature of periodic orbits is studied for all three systems, where their masses ratios represent small, moderate and large values. Using different types of numerical techniques, we have identified how the parameter of mass ratio, the Jacobi constant, and the oblateness coefficient affect the geometrical properties, and the periodic solutions of system.

引用

页数：12

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