An analytical method to determine future close approaches between satellites

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

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..143h&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, June 1984, p. 143-158.

Physics

3

Collision Avoidance, Orbital Position Estimation, Satellite Tracking, Space Surveillance, Analytic Functions, Iteration, Kepler Laws, Orbit Calculation, Orbit Perturbation, Orbital Elements, Spacecraft Survivability, Time Functions, Vector Spaces

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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