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The pyramidal configurations of N+1 bodies cannot rotate

✍ Scribed by Changrong Zhu

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 145 KB
Volume: 286
Category: Article
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(03)00392-5

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✦ Synopsis

For the (N + 1)-body problem, we assume that N bodies are at the vertices of a unit regular polygon and the (N + 1)st body is along the vertical line normal to the plane formed by the former N bodies. If N bodies rotate at the unit circle and the (N + 1)st body oscillates along the vertical line of the plane formed by the former N bodies and passing through the geometrical center, then we prove that the (N + 1)st body must locate at the geometrical center of unit regular polygon.

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