2012年8月7日
Proof of Saari's homographic conjecture for planar equal-mass three-body problem I - Strong force potential -
XVIIth International Congress on Mathematical Physics (ICMP12)
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発表資料
回数 : 13
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- 開催年月日
- 2012年8月6日 - 2012年8月11日
- 記述言語
- 英語
- 会議種別
- ポスター発表
- 国・地域
- デンマーク
Saari conjectured that the N-body motion with a constant configurational measure is a motion with fixed shape. Here, the configurational measure μ is a scale invariant product of the moment of inertia I=Σkmk|qk|2 and the potential function U=Σi<jmi
mj/|qi-qj|α, α>0. Namely, μ = Iα/2U. We will show that this conjecture is true for planar equal-mass three-body problem under the strong force potential α=2. In our way of the proof, this is the simplest case.
mj/|qi-qj|α, α>0. Namely, μ = Iα/2U. We will show that this conjecture is true for planar equal-mass three-body problem under the strong force potential α=2. In our way of the proof, this is the simplest case.
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