TITLE

Hierarchy of periodic solutions families of spatial Hill�s problem

AUTHOR(S)
Batkhin, A. B.; Batkhina, N. V.
PUB. DATE
March 2009
SOURCE
Solar System Research;Mar2009, Vol. 43 Issue 2, p178
SOURCE TYPE
DOC. TYPE
Article
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.
ACCESSION #
37371798

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