Transformation from proper time on Earth to coordinate time in solar system barycentric space-time frame of reference

@article{Moyer1976TransformationFP,
  title={Transformation from proper time on Earth to coordinate time in solar system barycentric space-time frame of reference},
  author={Theodore D. Moyer},
  journal={Celestial mechanics},
  year={1976},
  volume={23},
  pages={33-56}
}
  • T. D. Moyer
  • Published 1 December 1976
  • Physics, Geology
  • Celestial mechanics
In order to obtain accurate computed values of Earth-based range and Doppler observables of a beep space probe, an expression is required for the time differencet−τ, wheret is coordinate time in the solar system barycentric space-time frame of reference and τ is proper time recorded on a fixed atomic clock on earth. This paper is part 1 of a two-part article which obtains an expression fort−τ which is suitable for use in obtaining computed values of observations of a spacecraft or celestial… 
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References

SHOWING 1-10 OF 12 REFERENCES
Reformulation of the relativistic conversion between coordinate time and atomic time
The relativistic conversion between coordinate time and atomic time is reformulated to allow simpler time calculations relating analysis in solar system barycentric coordinates (using coordinate
The problem of n bodies in general relativity theory
1. In a recent investigation of the problem of two bodies in general relativity theory, Prof. Levi-Civita (1937 b ) has reached the conclusion that the centre of gravity has a secular acceleration in
A note on velocity-related series expansions in the two-body problem
The present note describes a few important series expansions in the two-body problem. They are related to the magnitudeV of the velocity vector and they are important for the treatment of atmospheric
International System
...
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