Authors: Sergey V. Ershkov
Here is presented a new type of exact solutions for photogravitational restricted 3-bodies problem (a case of spiral motion). A key point is that we obtain the appropriate specific case of spiral motions from the Jacobian-type integral of 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 a proper restriction to the type of spiral orbital motion of small 3-rd body, which could be possible for choosing as the exact solution of equations for photogravitational restricted 3-bodies problem. The main result, which should be outlined, is that in a case of quasi-planar orbital motion (of the small 3-rd body) the asymptotic expression for component z of motion is proved to be given by the proper elliptical integral.
Comments: 10 Pages. Key Words: photogravitational restricted three body problem, Jacobian-type integral of motion, spiral motion
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