The restricted Hill four-body problem with applications to the Earth-Moon-Sun system
type: Item
instance of: scholarly article
title: The restricted Hill four-body problem with applications to the Earth-Moon-Sun system
zbMATH Open document ID: 0941.70010
DOI: 10.1023/A:1026498608950
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2000-08-07T00:00:00Z
review text: The author investigates the restricted Hill four-body problem and applies the results to the study of motion of a spacecraft in the Earth-Moon-Sun system. This is made by considering the variation of Hill orbit for the Earth-Moon system. Periodic orbits and the properties of their stable and unstable manifolds are analyzed, and two particular families of periodic orbits are studied in detail. Expressions for these families contain terms related to stable and unstable properties, leading to the loss of plane stability. Unstable periodic orbits are computed for values of parameters typical of the Earth-Moon-Sun system.
Mathematics Subject Classification ID: 70F10
Mathematics Subject Classification ID: 70F15
zbMATH DE Number: 1287757
zbMATH Keywords: spacecraft in Earth-Moon-Sun system
zbMATH Keywords: stable periodic orbits
zbMATH Keywords: unstable periodic orbits
author: Daniel J. Scheeres
reviewed by: Gasanbek T. Arazov
MaRDI profile type: Publication
full work available at URL: a:1026498608950
OpenAlex ID: W1583247959
description: scientific article; zbMATH DE number 1287757