A multiple-scale method for the problem of the atmospheric perturbation of the body motion in the spherically symmetric gravitational field.

Details A multiple-scale method for the problem of the atmospheric perturbation of the body motion in the spherically symmetric gravitational field. A multiple-scale method for the problem of the atmospheric perturbation of the body motion in the spherically symmetric gravitational field.

Oct 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998kosis..36..514s&link_type=abstract

Kosmicheskie Issledovaniia, Tom 36, No. 5, p. 514 - 522

Physics

Artificial Satellites: Perturbations, Artificial Satellites: Earth Atmosphere, Artificial Satellites: Orbital Evolution

Scientific paper

The multiple-scale method is used to describe the deceleration of the motion of a body rotating in the spherically symmetric gravitational field by the rarefied, exponentially inhomogeneous atmosphere. This method provides the uniform expansion of the sought-for functions in a small problem parameter and the explicit dependence on all fast and slow variables used in the problem. A quite general scheme is proposed for introducing variables of different scales in the form of power series in a small parameter. A special choice of the functions entering into these series provides a simple dependence of the sought functions on slow variables. The calculation is performed for elliptical orbits up to the fourth power of eccentricity.

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