The elimination of short and intermediate period terms from the problem of a high altitude earth satellite

Details The elimination of short and intermediate period terms from the problem of a high altitude earth satellite The elimination of short and intermediate period terms from the problem of a high altitude earth satellite

Nov 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..14..321g&link_type=abstract

(Conference on Mathematical Methods in Celestial Mechanics, 5th, Oberwolfach, West Germany, Aug. 24-30, 1975.) Celestial Mechani

Mathematics

Artificial Satellites, High Altitude Environments, Periodic Variations, Planetary Gravitation, Satellite Perturbation, Three Body Problem, Canonical Forms, Differential Equations, Numerical Integration, Potential Theory, Transformations (Mathematics)

Scientific paper

The Delaunay-Similar elements of Scheifele (1976) are applied to the problem of an earth satellite that is perturbed by the sun, moon, and J2. All three effects are assumed to be the same order of magnitude. Since the external body terms depend explicitly on time, the time element appears as an additional angle variable. Also, the eccentric anomaly is used as a noncanonical auxiliary variable. A solution to the first Von Zeipel equation allows simultaneous elimination of short- and intermediate-period terms. The canonical transformation to mean elements is defined by a generating function that is a series involving Bessel coefficients.

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