Other
Scientific paper
Jun 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995avest..29..266b&link_type=abstract
Astronomicheskii Vestnik, Tom 29, No. 3, p. 266 - 274
Other
Planetary Surfaces: Three-Body Problem, Planetary Surfaces: Celestial Mechanics
Scientific paper
The motion of a small body in a trajectory consisting of two segments, is considered. The body moves in nonperturbed orbits under the attraction of a planet on one segment, and of the Sun on the other. At the matching point, coordinates and velocities of the body are the same for both orbits in a common frame. Within the framework of the circular restricted three-body problem, the authors derive the equation of a surface surrounding the planet which is the locus of points of optimal matching. The accepted optimality criterion consists in nullifying or, if impossible, in minimizing the difference of the values of Jacobi integrals at two points of the trajectory; one trajectory is located in close vicinity, and the other remote from the planet. The formula for the influence sphere of the radius of a planet, obtained by M. D. Kislik, is refined.
Batrakov Yu. V.
Emel'Yanov N. V.
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