Canonical planetary perturbation equations for velocity-dependent forces, and the lense-thirring precession

Details Canonical planetary perturbation equations for velocity-dependent forces, and the lense-thirring precession Canonical planetary perturbation equations for velocity-dependent forces, and the lense-thirring precession

Dec 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..57..537a&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 57, no. 4, p. 537-585

Astronomy and Astrophysics

Astronomy

20

Canonical Forms, Equations Of Motion, Orbit Perturbation, Orbital Mechanics, Planetary Orbits, Precession, Centripetal Force, Differential Calculus, Hamilton-Jacobi Equation, Orbital Elements, Perturbation Theory, Velocity Coupling

Scientific paper

A form of planetary perturbation theory based on canonical equations of motion, rather than on the use of osculating orbital elements, is developed and applied to several problems of interest. It is proved that, with appropriately selected initial conditions on the orbital elements, the two forms of perturbation theory give rise to identical predictions for the observable coordinates and velocities, while the orbital elements themselves may be strikingly different. Differences between the canonical form of perturbation theory and the classical Lagrange planetary perturbation equations are discussed. The canonical form of perturbation theory in some cases has advantages when the perturbing forces are velocity-dependent but the two forms of perturbation theory are equivalent if the perturbing forces are dependent only on position and not on velocity. The canonical form of the planetary perturbation equations are derived and apllied to the Lense-Thirring precession of a test body in a Keplerian orbit around a rotating mass source.

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