Canonical planetary perturbation equations for velocity-dependent forces, and the Lense-Thirring precession
type: Item
instance of: scholarly article
title: Canonical planetary perturbation equations for velocity-dependent forces, and the Lense-Thirring precession
zbMATH Open document ID: 0783.70008
DOI: 10.1007/BF00691937
author: Neil Ashby
author: Timothy Allison
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 1994-01-13T00:00:00Z
review text: 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. 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 the planetary perturbation equations are derived and applied to the Lense-Thirring precession of a test body in a Keplerian orbit around a rotating mass source.
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 70H20
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 484831
zbMATH Keywords: initial conditions
zbMATH Keywords: Lagrange planetary perturbation equations
zbMATH Keywords: Keplerian orbit
zbMATH Keywords: rotating mass
MaRDI profile type: Publication
cites work: Q5341709
cites work: Q3997876
cites work: Q5616747
cites work: Q3953228
cites work: Q5516156
cites work: Q3269932
cites work: Recent advances in dynamical astronomy. Proceedings of the NATO Advanced Study Institute in Dynamical Astronomy, held in Cortina d'Ampezzo, Italy, August 9-21, 1972
description: scientific article; zbMATH DE number 484831