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1. A simple existence proof of Schubart periodic orbit with arbitrary masses.

Author

Yan, Duokui

Subjects
*COMBINATORIAL dynamics, *DIFFERENTIAL equations, *HAMILTONIAN systems, *GRAVITATIONAL fields, *LAGRANGE equations
Abstract

This paper gives an analytic existence proof of the Schubart periodic orbit with arbitrary masses, a periodic orbit with singularities in the collinear three-body problem. A 'turning point' technique is introduced to exclude the possibility of extra collisions and the existence of this orbit follows by a continuity argument on differential equations generated by the regularized Hamiltonian. [ABSTRACT FROM AUTHOR]

Published
2012
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