A short derivation of the Sperling-Burdet equations

Details A short derivation of the Sperling-Burdet equations A short derivation of the Sperling-Burdet equations

Feb 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..11...39s&link_type=abstract

Celestial Mechanics, vol. 11, Feb. 1975, p. 39-41.

Mathematics

6

Equations Of Motion, Orbit Perturbation, Perturbation Theory, Two Body Problem, Angular Momentum, Eccentricity, Harmonic Oscillators, Transformations (Mathematics)

Scientific paper

The equations of motion for the perturbed two-body problem are transformed into a perturbed harmonic oscillator by means of a time transformation and by using the perturbed and unperturbed forms for angular momentum, the Laplace or eccentricity vector, and energy. The motion is then completely determined by a set of equations which is of order 11.

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