Effects on satellite orbits in the gravitational field of an axisymmetric central body with a mass monopole and arbitrary spin multipole moments

Abstract

Perturbations of satellite orbits in the gravitational field of a body with a mass monopole and arbitrary spin multipole moments are considered for an axisymmetric and stationary situation. Periodic and secular effects caused by the central gravitomagnetic field are derived by a first order perturbation theory. For a central spin-dipole field these results reduce to the well known Lense-Thirring effects.

References in corpus (8)

• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• The IAU 2000 resolutions for astrometry, celestial mechanics and metrology in the relativistic framework: explanatory supplement
• Phenomenology of the Lense-Thirring effect in the Solar System
• General relativistic spin-orbit and spin-spin effects on the motion of rotating particles in an external gravitational field
• Gravitational induction
• Post-Newtonian direct and mixed orbital effects due to the oblateness of the central body
• A Gravitomagnetic Effect on the Orbit of a Test Body due to the Earth's Variable Angular Momentum
• Multipolar corrections for Lense-Thirring precession

Cited by in corpus (8)

• Advanced relativistic VLBI model for geodesy
• The post-Newtonian gravitomagnetic spin-octupole moment of an oblate rotating body and its effects on an orbiting test particle; are they measurable in the Solar System?
• Revisiting the 2PN pericentre precession in view of possible future measurements of it
• A HERO for general relativity
• Analysis of the PPN Two-Body Problem Using Non-Osculating Orbital Elements
• Classical and general relativistic post-Keplerian effects in binary pulsars hosting fast rotating main sequence stars
• Post-Newtonian orbital effects induced by the mass quadrupole and spin octupole moments of an axisymmetric body
• Review of the Gravitomagnetic Clock Effect