Work

Linear stability of inner case of double averaged spatial restricted elliptic three-body problem

Year: 2025

Type: article

Abstract: We study the secular effects in the motion of an asteroid with negligible mass in a spatially restricted elliptic three-body problem with arbitrary inclination. Averaging over mean anomalies of the asteroid and the planet is applied to obtain the double-averaged Hamiltonian system. It admits a two-parameter family of orbits corresponding to the motion of the asteroid. Our investigation aims to analyze the stability of these orbits in the inner case. We show that these orbits are stable in the linear approximation with spatial perturbation. Numerical simulations of different types of orbits are performed as well.

Source: Discrete and Continuous Dynamical Systems

DOI: 10.3934/dcds.2025096

Authors: Xiumin Huang, Yan Luo, Kaicheng Sheng, Yiru Ye

Institutions: Shanghai Jiao Tong University, Nanjing University, Shandong University, Xi’an Jiaotong-Liverpool University

Language: English

Topic: Spacecraft Dynamics and Control

Subfield: Aerospace Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Xi’an Jiaotong-Liverpool University

Awards: G429340101, G6848021283