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A simple existence proof of Schubart periodic orbit with arbitrary masses |
Duokui YAN( ) |
| School of Mathematics and System Sciences, Beijing University of Aeronautics & Astronautics, Beijing 100191, China |
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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.
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| Keywords
Celestial mechanics
Schubart periodic orbit
three-body problem
binary collision
periodic solution with singularity
regularization
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Corresponding Author(s):
YAN Duokui,Email:duokuiyan@gmail.com
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Issue Date: 01 February 2012
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