An Existence of Simple Choreographies for N-body Problem - a Computer Assisted Proof
نویسندگان
چکیده
Abstract. We consider a question of finding a periodic solution for the planar Newtonian N-body problem with equal masses, where each body is travelling along the same closed path. We provide a computer assisted proof for the following facts: local uniqueness and convexity of Chenciner and Montgomery Eight, an existence (and local uniqueness) for Gerver’s SuperEight for 4-bodies and a doubly symmetric linear chain for 6-bodies.
منابع مشابه
The Existence of Simple Choreographies for N-body Problem - a Computer Assisted Proof
We consider a question of finding a periodic solution for the planar Newtonian N-body problem with equal masses, where each body is travelling along the same closed path. We provide a computer assisted proof for the following facts: the local uniqueness and the convexity of the Chenciner and Montgomery Eight, the existence (and the local uniqueness) for the Gerver’s SuperEight for 4-bodies and ...
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تاریخ انتشار 2008