The General Method for Fixing the Gauges of Relativistic Astronomical Reference Systems

  title={The General Method for Fixing the Gauges of Relativistic Astronomical Reference Systems},
  author={Jin-he Tao},
  journal={Astrophysics and Space Science},
  • Jin-he Tao
  • Published 29 April 2006
  • Physics
  • Astrophysics and Space Science
This article applies a new scheme of the first post-Newtonian theory (Damour et al., 1991–1994) to the problem of gauge in relativistic reference systems. Choosing and fixing gauge are necessary when the precision of time measurement and application needs to reach the 2PN level (10−16 or better). We present a general method for fixing the gauges of both the global and local coordinate systems, and for determining the expressions of gravitational potentials and coordinate transformations. The… 
Astronomical relativistic reference systems with multipolar expansion: the global one
With the rapid development of techniques for astronomical observations, the precision of measurements has been significantly increasing. Theories describing astronomical relativistic reference


General-relativistic celestial mechanics. I. Method and definition of reference systems.
A new formalism for treating the general-relativistic celestial mechanics of systems of system of arbitrarily composed and shaped, weakly self-gravitating, rotating, deformable bodies is presented, aimed at yielding a complete description of the global dynamics of such $N-body systems.
General-relativistic celestial mechanics. II. Translational equations of motion.
This work is the first to obtain complete and explicit results, in the form of infinite series, for the laws of motion of arbitrarily composed and shaped bodies.
General-relativistic celestial mechanics. IV. Theory of satellite motion.
Inhomogeneous cosmological models which are homogeneous and isotropic on average.
  • Kasai
  • Physics, Mathematics
    Physical review. D, Particles and fields
  • 1993
A scheme to construct inhomogeneous universes which are nevertheless homogeneous and isotropic on average is presented in the framework of general relativity for models containing dust and a