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Capture model in the restricted three-body problem. (English) Zbl 1054.70013

Summary: We study the capture effect of a capturing planet on a small body. We introduce the capture effect as the total variation of polar angle from the beginning to the end of the capture. The capture effect is determined by using numerical integration. The developed method is applied to the capture of comet Oterma.

MSC:

70F07 Three-body problems
70F15 Celestial mechanics
70-08 Computational methods for problems pertaining to mechanics of particles and systems
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