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Periodic Orbits Around a Massive Straight Segment

Published online by Cambridge University Press:  12 April 2016

Andrés Riaguas,
Antonio Elipe and
Martín Lara
Andrés Riaguas
Affiliation:
TERMA at European Space Operations Centre. 64293 Darmstadt. Germany
Antonio Elipe
Affiliation:
Grupo de Mecánica Espacial. Universidad de Zaragoza. 50009 Zaragoza. Spain
Martín Lara
Affiliation:
Real Observatorio de la Armada. 11110 San Fernando. Spain

Abstract

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In this paper, we consider the motion of a particle under the gravitational field of a massive straight segment. This model is used as an approximation to the gravitational field of irregular shaped bodies, such as asteroids, comet nuclei and planets’s moons. For tbis potential, we find several families of periodic orbits and bifurcations.

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