Two-point problems in the determination of orbits

Details Two-point problems in the determination of orbits Two-point problems in the determination of orbits

May 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978kosis..16..323s&link_type=abstract

Kosmicheskie Issledovaniia, vol. 16, May-June 1978, p. 323-330. In Russian.

Computer Science

Kepler Laws, Orbit Calculation, Satellite Orbits, Transcendental Functions, Algorithms, Artificial Satellites, Geocentric Coordinates, Laplace Transformation, Orbital Elements

Scientific paper

The two-point problem examined in the present paper is to determine a Kepler orbit for various boundary conditions. It is shown that the problem can be reduced to the solution of a system of transcendental equations whose order is equal to the number of the unknown coordinates of two positions of the satellite. In the special case where five coordinates of two positions and one velocity component are given, the system of transcendental equations degenerates to a single equation. A procedure for solving the two-point problem is proposed.

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