Minimal Orbital Intersection Distance: computation, uncertainty, and secular evolution

Details Minimal Orbital Intersection Distance: computation, uncertainty, and secular evolution Minimal Orbital Intersection Distance: computation, uncertainty, and secular evolution

May 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000dda....31.0701m&link_type=abstract

American Astronomical Society, DDA Meeting #31, #07.01; Bulletin of the American Astronomical Society, Vol. 32, p.863

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A method to compute the secular evolution of Near Earth objects is given; this is based on a generalized averaging principle and on a singularity extraction method which employs an approximation due to Wetherill in Opik's reference frame. This theory can be used to compute proper elements and proper frequencies for planet crossing objects. The same approximation leads to an analytical estimate for the minimum distance between two elliptical orbits (MOID) which allows to compute the range of possible MOIDs in accordance with the uncertainty in observations. This is done taking into account all the local minima of the distance between the two orbits using an algebraic method for the computation of all the stationary points of the problem.

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