The influence surface of a planet.

Details The influence surface of a planet. The influence surface of a planet.

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995sosyr..29..230b&link_type=abstract

Solar System Research, Vol. 29, No. 3, p. 230 - 237

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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 located in close proximity, and the other remote from the planet. The formula for the influence sphere radius of a planet, obtained by Kislik, is refined.

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