A new type of exact solutions for photogravitational restricted three-body problem (a case of spiral motion) is
A key point is that we obtain the appropriate specific case of spiral motions from the Jacobian-type integral of motion for
photogravitational restricted three-body 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 three-body
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.