Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998arep...42..837s&link_type=abstract
Astronomy Reports, Volume 42, Issue 6, November 1998, pp.837-844
Astronomy and Astrophysics
Astronomy
2
Scientific paper
A method for constructing intermediate orbits to approximate the real motion of celestial bodies during the initial part of their trajectories is proposed. The method is based on the introduction of a fictitious attracting center with a time-variable gravitational parameter. The variation of this gravitational parameter is assumed to obey the first and unified Mestschersky mass-variation laws for the non-stationary two-body problem. The method is used to construct new classes of orbits with second-order tangency to the perturbed trajectory at the initial time. For planar motion, the tangency can be increased to third order. Estimates show that use of these intermediate orbits is more efficient than use of orbits constructed in other studies. Application of the orbits constructed is especially effective when studying motions with large perturbations.
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