EDP Sciences
Free access
Volume 376, Number 1, September II 2001
Page(s) 316 - 324
Section The solar system
DOI http://dx.doi.org/10.1051/0004-6361:20010945

A&A 376, 316-324 (2001)
DOI: 10.1051/0004-6361:20010945

A study of the original orbits of "hyperbolic" comets

M. Królikowska

Space Research Centre of the Polish Academy of Sciences, Bartycka 18A, 00-716 Warsaw, Poland

(Received 7 March 2001 / Accepted 27 June 2001)

The problem of hyperbolic incoming orbits for single-apparition comets is investigated. In this context the effect of non-gravitational acceleration on cometary dynamics was analyzed for the sample of 33 "hyperbolic" comets. The orbital elements of each cometary orbit were determined by the least squares procedure based on positional observations. These osculating orbital elements serve as a basis for the determination of the incoming orbits. The new method of estimating the uncertainties of $(1/a)_{\rm ori}$ based on a statistical approach to the orbit determinations is applied. For sixteen comets it was possible to determine the non-gravitational effects and original "non-gravitational" orbits. We show that for almost all the comets with detectable non-gravitational effects the incoming barycentric orbits changed from hyperbolic to elliptical when the non-gravitational effects were included. However, it was also ascertained that excess velocity at great distance are not cancelled by the non-gravitational acceleration itself. We show that the non-gravitational effects are responsible for small modifications of the osculating elements (mainly eccentricity), which are sufficient, however, to obtain the elliptic original orbits for comets recognized in the literature as hyperbolic.

Key words: solar system -- comets -- long-period -- non-gravitational effects

© ESO 2001