Work

Global families of periodic orbits adjacent to libration points in the restricted three-body problem

Year: 2024

Type: article

Abstract: The restricted circular three-body problem is studied. All global families of periodic orbits adjacent to the libration points are found. A scenario for the evolution of orbits in the family is given. Chains of global families will be highlighted; the chain begins at the triangular libration point, contains global families for the triangular and all collinear libration points, and ends with a family whose orbits are pressed against the main bodies. The evolution of global families in the chain associated with changes in the energy of the system is described. Planar and spatial orbits are studied.

Source: Astronomicheskii Zhurnal

DOI: 10.31857/s0004629924030074

Author: V. N. Tkhai

Institutions: Russian Academy of Sciences, V. A. Trapeznikov Institute of Control Sciences

Language: English

Topic: Spacecraft Dynamics and Control

Subfield: Aerospace Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4402918169

FWCI:

Cites: 3

Cited by:

Related to: 10