Superosculating Intermediate Orbits and their Application in the Problem of Investigation of the Motion of Asteroids and Comets

Abstract

The approach applied in the present paper for thr construction of intermediate orbits is based on the idea of introducing of a fictitious attracting centre, following the ideas of Shaikh [1] that have received further development in a number of works [2, 3, 4]. Common to them is the fact that the intermediate orbits constructed by their authors give the motion of the unperturbed Keplerian orbit with respect to the fictitious attracting centre the mass of which is constant on the initial part of trajectory. In this work we propose a generalized method which allows one to construct the new classes of intermediate orbits with closer approximation to the real motion in comparison with approaches of the above-mentioned authors. The fundamental concept of the method implies that the mass of the fictitious centre for the initial part of motion is chosen not as a constant but is sought in the form of a function of time minimizing the perturbing factor.