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Celestial mechanics

, Volume 33, Issue 2, pp 143–158 | Cite as

An analytic method to determine future close approaches between satellites

  • Felix R. Hoots
  • Linda L. Crawford
  • Ronald L. Roehrich
Article

Abstract

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.

Keywords

Analytical Equation Efficient Manner Close Approach Iterative Technique Reliable Manner 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© D. Reidel Publishing Company 1984

Authors and Affiliations

  • Felix R. Hoots
    • 1
  • Linda L. Crawford
    • 1
  • Ronald L. Roehrich
    • 1
  1. 1.Hq NORAD/Space CommandPeterson Air Force BaseUSA

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