An analytic method to determine future close approaches between satellites

Details An analytic method to determine future close approaches between satellites An analytic method to determine future close approaches between satellites

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984adans..54..281h&link_type=abstract

IN: Astrodynamics 1983; Proceedings of the Conference, Lake Placid, NY, August 22-25, 1983. Part 1 (A84-30526 13-13). San Diego,

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Gravitational Effects, Iterative Solution, Orbit Calculation, Satellite Orbits, Orbit Perturbation, Orbital Elements, Problem Solving

Scientific paper

The calculation of the times of future close approaches between pairs of satellites has been formulated using analytical techniques. The resulting analytical equations are solved using numerical iterative techniques similar to solving Kepler's equation. A solution is obtained in a very efficient manner by use of a series of prefilters which eliminate many cases from further consideration. The method is valid for all values of eccentricities less than one and all relative geometries between the two orbits. This approach produces results in a very efficient and reliable manner.

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