Superosculating intermediate orbits for the approximation of perturbed motion. Third-order tangency

Details Superosculating intermediate orbits for the approximation of perturbed motion. Third-order tangency Superosculating intermediate orbits for the approximation of perturbed motion. Third-order tangency

Nov 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998arep...42..845s&link_type=abstract

Astronomy Reports, Volume 42, Issue 6, November 1998, pp.845-851

Astronomy and Astrophysics

Astronomy

2

Scientific paper

A method proposed earlier for the construction of intermediate orbits for high-accuracy approximation of the perturbed motion of celestial bodies in the initial part of their trajectories is developed. New classes of superosculating orbits having third-order tangency to the real trajectory are constructed. Under certain special conditions, the tangency increases to fourth-order for planar motion. The higher accuracy of the approximation to the real motion is provided by the inclusion of perturbations, which can be interpreted as the effects of variation of the mass of a fictitious attracting center that obey the first and unified Mestschersky laws. The employment of the orbits constructed for studying perturbed motions is discussed.

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