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Earth-Moon Weak Stability Boundaries in the restricted three and four body problem

Romagnoli, Daniele and Circi, Christian (2008) Earth-Moon Weak Stability Boundaries in the restricted three and four body problem. Celestial Mechanics and Dynamical Astronomy, 103 (1), pp. 79-103. Springer Netherlands. DOI: 10.1007/s10569-008-9169-y. ISSN 0923-2958 (Print) 1572-9478 (Online).

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Official URL: http://www.springerlink.com/content/l477521431583567/?p=4430b8a43cc442f2bd2ce8f8f08096a6&pi=4

Abstract

This work deals with the structure of the lunar Weak Stability Boundaries (WSB) in the framework of the restricted three and four body problem. Geometry and properties of the escape trajectories have been studied by changing the spacecraft orbital parameters around the Moon. Results obtained using the algorithm definition of the WSB have been compared with an analytical approximation based on the value of the Jacobi constant. Planar and three–dimensional cases have been studied in both three and four body models and the effects on the WSB structure, due to the presence of the gravitational force of the Sun and the Moon orbital eccentricity, have been investigated. The study of the dynamical evolution of the spacecraft after lunar capture allowed us to find regions of the WSB corresponding to stable and safe orbits, that is orbits that will not impact onto lunar surface after capture. By using a bicircular four body model, then, it has been possible to study low-energy transfer trajectories and results are given in terms of eccentricity, pericenter altitude and inclination of the capture orbit. Equatorial and polar capture orbits have been compared and differences in terms of energy between these two kinds of orbits are shown. Finally, the knowledge of the WSB geometry permitted us to modify the design of the low-energy capture trajectories in order to reach stable capture, which allows orbit circularization using low-thrust propulsion systems.

Document Type:Article
Title:Earth-Moon Weak Stability Boundaries in the restricted three and four body problem
Authors:
AuthorsInstitution or Email of Authors
Romagnoli, DanieleUNSPECIFIED
Circi, ChristianUniversity of Rome "La Sapienza"
Date:12 December 2008
Journal or Publication Title: Celestial Mechanics and Dynamical Astronomy
Refereed publication:Yes
In ISI Web of Science:Yes
Volume:103
DOI:10.1007/s10569-008-9169-y
Page Range:pp. 79-103
Publisher:Springer Netherlands
Series Name:Physics and Astronomy
ISSN:0923-2958 (Print) 1572-9478 (Online)
Status:Published
Keywords:Weak Stability Boundaries, Four body problem, Low-Energy Transfer,
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W - no assignement
DLR - Research area:Space
DLR - Program:W - no assignement
DLR - Research theme (Project):W -- no assignement (old)
Location: Bremen
Institutes and Institutions:Institute of Space Systems > Regelungs- und Datensysteme
Deposited By: Daniele Romagnoli
Deposited On:12 Jan 2009
Last Modified:27 Apr 2009 15:41

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