# 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} }

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

- Physics
- 1975

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

- Physics
- 1938

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

- Physics
- 1974

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…