## Exact Solution for Photogravitational Restricted 3-Bodies Problem (a Case of Spiral Motion)

**Authors:** Sergey V. Ershkov

Here is presented a new type of exact solution for photogravitational restricted 3-bodies problem (a case of spiral motion).
A key point is that from the Jacobian-type integral we obtain the appropriate specific case of spiral motion for photogravitational restricted 3-bodies problem (when orbit of small 3-rd body is assumed to be like a spiral).
Besides, we should especially note that there is no analogue of Jacobian-type integral of motion in the case of photogravitational restricted 3-bodies problem if we take into consideration even a small Yarkovsky effect.

**Comments:** 12 Pages. Key Words: photogravitational restricted three body problem, Jacobian-type integral of motion, Yarkovsky effect, spiral motion

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### Submission history

[v1] 2012-04-27 16:04:15

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