Trajectories of satellites under the combined influence of earth oblateness and air drag.

Details Trajectories of satellites under the combined influence of earth oblateness and air drag. Trajectories of satellites under the combined influence of earth oblateness and air drag.

Jun 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971cemec...3..148z&link_type=abstract

Celestial Mechanics, Volume 3, Issue 2, pp.148-168

Physics

1

Scientific paper

Trajectories of satellites under the influences of earth oblateness and air drag are derived by the asymptotic method in nonlinear mechanics. Based on the assumptions: (1) the dominant oblateness factor of the earth is the second harmonic (J 2), (2) a non-rotating, spherically symmetric atmosphere and an exponential distribution of atmospheric density, (3) original elliptical orbits being of small eccentricity, closed-form solutions for the improved first order approximation are obtained. After finding the osculating orbital elements of the resulting trajectories, we expose the behavior of osculating orbits at various inclinations.

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