Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..90..289g&link_type=abstract
Celestial Mechanics & Dynamical Astronomy, Volume 90, Issue 3-4, pp. 289-306
Astronomy and Astrophysics
Astronomy
5
Oblateness, Lagrange’S Equation, Orbital Perturbations, Orbital Elements, Gauge Invariance, Lagrange'S Equation, Lagrange&Rsquo, S Equation
Scientific paper
This paper investigates the long-period and secular dynamics of a satellite about an oblate primary while relieving the assumption that the perturbed orbit is instantaneously parameterized by osculating Keplerian orbits. The inherent freedom obtained by transforming the orbital dynamics from the Cartesian inertial space to the orbital elements space, termed gauge freedom, is utilized to nullify four planetary equations. It is shown that there exists an orbit representation in which the mean non-osculating perigee is stable under the oblateness perturbation and that nodal precession, apsidal rotation and epoch drift may be simultaneously nullified on the expense of secular eccentricity and inclination variations. These observations considerably expand the standard description of J 2-perturbed motion using mean osculating orbital elements, which predicts secular variation nullification of semi-major axis, eccentricity and inclination only.
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