An analytical approximation for the MOID and its consequences

Details An analytical approximation for the MOID and its consequences An analytical approximation for the MOID and its consequences

Aug 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000a%26a...360..411b&link_type=abstract

Astronomy and Astrophysics, Vol. 360, p.411-416

Astronomy and Astrophysics

Astrophysics

8

Celestial Mechanics, Stellar Dynamics, Minor Planets, Asteroids

Scientific paper

We give an analytical formulation for the approximation of the Minimum Orbital Intersection Distance (MOID) between two elliptical orbits, and we apply it to the case of the Earth and of an asteroid. With this formulation we are able to find an algorithm to compute the variance of the MOID for a given asteroid and we make the computation in the case of the asteroids whose orbit has been determined, even if with a great uncertainty, to find cases of asteroids that have a good probability of having a small MOID even if their nominal orbit gives a relatively large MOID.

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