Orbital covariance eigenproblem for asteroids and comets

Details Orbital covariance eigenproblem for asteroids and comets Orbital covariance eigenproblem for asteroids and comets

Jun 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996mnras.280.1235m&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 280, Issue 4, pp. 1235-1238.

Astronomy and Astrophysics

Astronomy

8

Celestial Mechanics, Stellar Dynamics, Comets: General, Comets: Individual: C/1995 O1 Hale-Bopp, Minor Planets, Asteroids

Scientific paper

We compute eigenvalues and eigenvectors for the orbital covariances of asteroids and comets. Orbital elements and their covariances are usually determined from astrometric observations in a least-squares sense. In the phase space of orbital elements, the covariances describe a hyper-ellipsoid centred on the least-squares orbit. The shape and orientation of the hyper-ellipsoid can be studied by diagonalizing the covariances. Intriguing first results are obtained for the lost asteroid (719) Albert and the newly discovered comet C/1995 O1 Hale-Bopp.

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