Hierarchy of periodic solutions families of spatial Hill’s problem
- 9 April 2009
- journal article
- Published by Pleiades Publishing Ltd in Solar System Research
- Vol. 43 (2), 178-183
- https://doi.org/10.1134/s0038094609020105
Abstract
Many modern space projects require the knowledge of orbits with certain properties. Most of these projects assume the motion of a space vehicle in the neighborhood of a celestial body, which in turn moves in the field of the Sun or another massive celestial body. A good approximation of this situation is Hill’s problem. This paper is devoted to the investigation of the families of spatial periodic solutions to the three-dimensional Hill’s problem. This problem is nonintegrable; therefore, periodic solutions are studied numerically. The Poincare theory of periodic solutions of the second kind is applied; either planar or vertical impact orbits are used as generating solutions.Keywords
This publication has 3 references indexed in Scilit:
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- Hill's problem: Families of three-dimensional periodic orbits (part I)Astrophysics and Space Science, 1980
- Vertical stability of periodic orbits in the restricted problemCelestial Mechanics and Dynamical Astronomy, 1973