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

Academic Journal

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

Tags: HILL determinant;  THREE-body problem;  CAUCHY problem -- Numerical solutions;  EIGENVALUES;  ORBITS -- Research

 

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