Orbits near central configurations for four equal masses

Orbits near central configurations for four equal masses

This study relates to equal-mass four-body orbits close to a quadruple central configuration. Locally, these orbits can be approximated by a perturbation from the homothetic quadruple collision/expansion orbit. Appropriate expressions are derived and the equal-mass four-body Siegel exponents and ass...

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Veröffentlicht in:Celestial mechanics and dynamical astronomy 2014-08, Vol.119 (3-4), p.379-395
1. Verfasser: Sweatman, Winston L.
Format: Artikel
Sprache:eng
Schlagworte:
Aerospace Technology and Astronautics
Astrophysics and Astroparticles
Classical Mechanics
Dynamical Systems and Ergodic Theory
Eigenvalues
Geophysics/Geodesy
Orbits
Original Article
Physics
Physics and Astronomy
Stars & galaxies
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Zusammenfassung:This study relates to equal-mass four-body orbits close to a quadruple central configuration. Locally, these orbits can be approximated by a perturbation from the homothetic quadruple collision/expansion orbit. Appropriate expressions are derived and the equal-mass four-body Siegel exponents and associated eigenmodes are presented.
ISSN:0923-2958
1572-9478
DOI:10.1007/s10569-014-9556-5