A simple existence proof of Schubart periodic orbit with arbitrary masses

作者：Yan Duokui^*

来源：Frontiers of Mathematics in China, 2012, 7(1): 145-160.

DOI：10.1007/s11464-012-0171-z

• Celestial mechanics
• Schubart periodic orbit
• three-body problem
• binary collision
• periodic solution with singularity
• regularization

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.

• 出版日期2012-2
• 单位北京大学