Planar retrograde periodic orbits in the elliptic restricted three-body problem

IF 3.1 2区物理与天体物理 Q1 ENGINEERING, AEROSPACE

Acta Astronautica Pub Date : 2025-01-12 DOI:10.1016/j.actaastro.2025.01.006

Alicia Martínez-Cacho , Daniel Gil Calvo , Claudio Bombardelli , Nicola Baresi

引用次数: 0

Abstract

Planar retrograde periodic orbits in the elliptical restricted three body problems (ER3BP) beyond the limit of validity of Hill’s approximation are analyzed in detail starting from Hénon’s f family and including symmetric and asymmetric solutions up to a multiplicity of degree seven. The different families, which are obtained with a predictor–corrector continuation method exploiting cylindrical pulsating curvilinear coordinates, are computed for a number of representative three-body systems. A geometric classification of the different orbit types is proposed and the influence of the primaries’ mass ratio on the existence of resonant solutions is investigated.

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来源期刊

Acta Astronautica 工程技术-工程：宇航

CiteScore

7.20

自引率

22.90%

发文量

599

审稿时长

53 days

期刊介绍： Acta Astronautica is sponsored by the International Academy of Astronautics. Content is based on original contributions in all fields of basic, engineering, life and social space sciences and of space technology related to: The peaceful scientific exploration of space, Its exploitation for human welfare and progress, Conception, design, development and operation of space-borne and Earth-based systems, In addition to regular issues, the journal publishes selected proceedings of the annual International Astronautical Congress (IAC), transactions of the IAA and special issues on topics of current interest, such as microgravity, space station technology, geostationary orbits, and space economics. Other subject areas include satellite technology, space transportation and communications, space energy, power and propulsion, astrodynamics, extraterrestrial intelligence and Earth observations.