Parametric Stability in a P+2-Body Problem
Abstract We consider a planar restricted $$P+2$$-body problem where P bodies of equal masses located at the vertices of a regular polygon move in an homographic elliptic orbit and an additional mass is fixed at the center of the polygon. We study the equilibrium of the infinitesimal mass that lies o...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Araujo, Gerson Cruz [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media New York 2017 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of dynamics and differential equations - Springer US, 1989, 30(2017), 2 vom: 08. Feb., Seite 719-742 |
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| Übergeordnetes Werk: |
volume:30 ; year:2017 ; number:2 ; day:08 ; month:02 ; pages:719-742 |
| Links: |
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| DOI / URN: |
10.1007/s10884-017-9570-x |
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| Katalog-ID: |
OLC2063461104 |
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| 520 | |a Abstract We consider a planar restricted $$P+2$$-body problem where P bodies of equal masses located at the vertices of a regular polygon move in an homographic elliptic orbit and an additional mass is fixed at the center of the polygon. We study the equilibrium of the infinitesimal mass that lies on the half-line from the center of the polygon through the midpoint of its side, outside the unit circle. We study the parametric stability of this equilibrium constructing the boundary curves of the stability/instability regions in the plane of the parameters. | ||
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Abstract We consider a planar restricted $$P+2$$-body problem where P bodies of equal masses located at the vertices of a regular polygon move in an homographic elliptic orbit and an additional mass is fixed at the center of the polygon. We study the equilibrium of the infinitesimal mass that lies on the half-line from the center of the polygon through the midpoint of its side, outside the unit circle. We study the parametric stability of this equilibrium constructing the boundary curves of the stability/instability regions in the plane of the parameters. © Springer Science+Business Media New York 2017 |
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Abstract We consider a planar restricted $$P+2$$-body problem where P bodies of equal masses located at the vertices of a regular polygon move in an homographic elliptic orbit and an additional mass is fixed at the center of the polygon. We study the equilibrium of the infinitesimal mass that lies on the half-line from the center of the polygon through the midpoint of its side, outside the unit circle. We study the parametric stability of this equilibrium constructing the boundary curves of the stability/instability regions in the plane of the parameters. © Springer Science+Business Media New York 2017 |
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Abstract We consider a planar restricted $$P+2$$-body problem where P bodies of equal masses located at the vertices of a regular polygon move in an homographic elliptic orbit and an additional mass is fixed at the center of the polygon. We study the equilibrium of the infinitesimal mass that lies on the half-line from the center of the polygon through the midpoint of its side, outside the unit circle. We study the parametric stability of this equilibrium constructing the boundary curves of the stability/instability regions in the plane of the parameters. © Springer Science+Business Media New York 2017 |
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