Statistics – Computation
Scientific paper
Jun 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..49..197s&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 49, no. 2, 1990, p. 197-207.
Statistics
Computation
6
Eccentric Orbits, Equations Of Motion, Halley'S Comet, Solar Orbits, Three Body Problem, Computational Astrophysics, Liapunov Functions
Scientific paper
A review is presented of the author's results on application of regularizing and stabilizing KS-transformation in the problem of investigation of the motion of unusual minor planets and comets. Two models of the motion of a minor body are considered, viz. the perturbed two body problem and the perturbed restricted three body problem. The variational equations in KS-variables and transformations for obtaining the matrix of partial derivatives of the instantaneous physical parameters of motion with respect to their initial values are presented. The peculiarities of the implementation of the algorithms developed as programs on a computer are described. The original results of the investigation of the efficiency of the developed algorithms and programs are discussed using as an example the motion of unusual minor planets Icarus and Geographos as well as Comets Halley, Honda-Mrkos-Pajdusakova and Gehrels 3.
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