391 citations · 649 across the 22 of their papers we have counts for
12 papers · 1 filter
Gravitational waves and small-field astrometry
Robin Geyer, Sven Zschocke, Michael Soffel +3
Astrometric observations can, in principle, be used to detect gravitational waves. In this paper we give a practical overview of the gravitational wave effects which can be expecte…
Reference frames in General Relativity and the galactic rotation curves
L. Filipe O. Costa, José Natário, F. Frutos-Alfaro +1
The physical interpretation of the exact solutions of the Einstein field equations is, in general, a challenging task, part of the difficulties lying in the significance of the coo…
On Relativistic Multipole Moments of Stationary Spacetimes
Francisco Frutos-Alfaro, Michael Soffel
Among the known exact solutions of Einstein vacuum field equations the Manko-Novikov and the Quevedo-Mashhoon metrics might be suitable ones for the description of the exterior gra…
On the Post-linear Quadrupole-Quadrupole Metric
Francisco Frutos-Alfaro, Michael Soffel
The Hartle-Thorne metric defines a reliable spacetime for most astrophysical purposes, for instance for the simulation of slowly rotating stars. Solving the Einstein field equation…
Effects on satellite orbits in the gravitational field of an axisymmetric central body with a mass monopole and arbitrary spin multipole moments
J. Meichsner, M. H. Soffel
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 s…
The gravitational time delay in the field of a slowly moving body with arbitrary multipoles
Michael H. Soffel, Wen-Biao Han
We calculate the time delay of light in the gravitational field of a slowly moving body with arbitrary multipoles (mass and spin multipole moments) by the Time-Transfer-Function (T…
The post-linear Schwarzschild solution in harmonic coordinates: elimination of structure-dependent terms
Sergei Klioner, Michael Soffel
The paper deals with a special kind of problems that appear in solutions of Einstein's field equations for extended bodies: many structure-dependent terms appear in intermediate ca…
Towards sub-microarcsecond models for relativistic astrometry
S. Zschocke, S. A. Klioner, M. H. Soffel
Astrometric space missions like Gaia have stimulated a rapid advance in the field of relativistic astrometry. Present investigations in that field aim at accuracies significantly l…
General-relativistic perturbation equations for the dynamics of elastic deformable astronomical bodies expanded in terms of generalized spherical harmonics
Chongming Xu, Xuejun Wu, Michael Soffel
In our previous paper, based on the Carter & Quintana framework and the Damour-Soffel-Xu scheme, we deduced a complete and closed set of post-Newtonian dynamical equations for elas…
Relativistic theory of elastic deformable astronomical bodies: perturbation equations in rotating spherical coordinates and junction conditions
Chongming Xu, Xuejun Wu, Michael Soffel +1
In this paper, the dynamical equations and junction conditions at the interface between adjacent layers of different elastic properties for an elastic deformable astronomical body…
Relativistic Celestial Mechanics with PPN Parameters
Sergei A. Klioner, Michael H. Soffel
Starting from the global parametrized post-Newtonian (PPN) reference system with two PPN parameters and we consider a space-bounded subsystem of matter and construct a loca…
Nordtvedt effect in rotational motion
Sergei A. Klioner, Michael Soffel
Rotational motion of extended celestial bodies is discussed in the framework of the Parametrized Post-Newtonian (PPN) formalism with the two parameters and . A local PPN ref…