Physics
Scientific paper
May 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981kosis..19..470k&link_type=abstract
Kosmicheskie Issledovaniia, vol. 19, May-June 1981, p. 470-474. In Russian.
Physics
Gravitational Fields, Hyperbolic Functions, Orbital Mechanics, Planetary Orbits, Spacecraft Motion, Legendre Functions, Oblate Spheroids, Spherical Coordinates
Scientific paper
Barrar's (1961) method for the analysis of the motion of a satellite of an oblate planet is extended to the case of hyperbolic motion. An analysis is presented of the motion of a material point in the gravitational field of a fixed center, combined with a gravitational dipole located at the point of inertia of a dynamically symmetric planet. Formulas are obtained for the hyperbolic motion of a spacecraft in the gravitational field of a spheroidal planet with an accuracy up to the second zonal harmonic of the expansion of its potential into a Legendre polynomial series in spherical coordinates.
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