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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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.
|Title:||Earth-Moon Weak Stability Boundaries in the restricted three and four body problem|
|Date:||12 December 2008|
|Journal or Publication Title:||Celestial Mechanics and Dynamical Astronomy|
|In ISI Web of Science:||Yes|
|Page Range:||pp. 79-103|
|Series Name:||Physics and Astronomy|
|ISSN:||0923-2958 (Print) 1572-9478 (Online)|
|Keywords:||Weak Stability Boundaries, Four body problem, Low-Energy Transfer,|
|HGF - Research field:||Aeronautics, Space and Transport|
|HGF - Program:||Space|
|HGF - Program Themes:||W - no assignement|
|DLR - Research area:||Space|
|DLR - Program:||W - no assignement|
|DLR - Research theme (Project):||W -- no assignement (old)|
|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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