Position and velocity perturbations in the orbital frame in terms of classical element perturbations

Details Position and velocity perturbations in the orbital frame in terms of classical element perturbations Position and velocity perturbations in the orbital frame in terms of classical element perturbations

Mar 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..55..209c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 55, no. 3, p. 209-221.

Astronomy and Astrophysics

Astronomy

12

Orbital Elements, Orbital Mechanics, Perturbation Theory, Eccentricity, Partial Differential Equations

Scientific paper

The transformation of classical orbit element perturbations to perturbations in position and velocity in the radial, transverse and normal directions of the orbital frame is developed. The formulation is given for the case of mean anomaly perturbations as well as for eccentric and true anomaly perturbations. Approximate formulas are also developed for the case of nearly circular orbits and compared with those found in the literature.

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