制限3体問題から生成されるカオス
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概要
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Restricted three-body problem deals with three bodies P_1, P_2 and Q with masses m_1, m_2, and m_3 respectively, under the action of the Newton Gravitational Law. To make the problem more feasible, we consider the case when the mass of one particle is negligible with respect to the others. If m_3=0 then P_1 P_2 are not influenced by Q and they move according to the solutions of a two-body problem. The so-called three-body problem has an 18-dimensional state space. Although there is no exact formulus of this type, one can use computational methods to approximate the solution of the differential equations resulting from Newton's laws of motion. Our aim is study the motion of Q under the attraction of the two bodies. We can see several trajectries, regular and irreular types and chaos type.
- 共立薬科大学の論文
- 1999-08-20