Other
Scientific paper
Aug 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003dda....34.0614m&link_type=abstract
American Astronomical Society, DDA meeting #34, #06.14; Bulletin of the American Astronomical Society, Vol. 35, p.1039
Other
Scientific paper
We present an analytical solution to the problem of the minimum distance between two elliptical orbits with common focus. By use of the eccentric anomaly as the independent variable, the algebraic complexity of the solution is reduced. An additional benefit is that one can immediately use the Kepler equation in combination with a very fast and simple integer search algorithm to quickly determine the times of close approach between objects. Thus, one use of the analytical solution is as a fast filter for selecting (for closer scrutiny later) asteroids that will suffer a close approach to a given planet or other asteroid within a specified time, without resorting to numerical integrations.
Munteanu Andreea
Murison Marc Allen
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