Minimizing Periodic Orbits with Regularizable Collisions in the n-Body Problem |
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Authors: | Mitsuru Shibayama |
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Affiliation: | (1) Department de Matemàtica Aplicada i Astronomia, Universitat de València, Spain;(2) CONICET (Profoeg), Observatorio Astgronómico de La Plata, Argentina; |
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Abstract: | In the Newtonian n-body problem, there are various subsystems with two degrees of freedom, such as the collinear three-body problem and the isosceles three-body problem. After we determine a normal form of the Lagrangians of these subsystems, we prove the existence of periodic solutions with regularizable collisions for these systems. Our result includes several examples, such as Schubart’s orbit with or without equal masses, among others. |
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