**34th Meeting of the AAS Division on Dynamical Astronomy, May 2003**

* 6 Poster Papers*

Posters, Monday, May 5, 2003, 8:00pm,
[Previous] |
[ 6] |
[Next]

## [6.14] On an Analytical Solution for the Minimum Distance between Two Confocal Elliptical Orbits Used as a Close Approach Filter

*M. A. Murison (U.S. Naval Observatory), A. Munteanu (Benjamin Banneker Academic High School)*

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.

The author(s) of this abstract have provided an email address
for comments about the abstract:
murison@usno.navy.mil

[Previous] |
[ 6] |
[Next]

Bulletin of the American Astronomical Society, **35** #4

© 2003. The American Astronomical Soceity.