The high order relativistic effects in millisecond pulsar timing

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Pulsars, Pulse Duration, Relativistic Effects, Time Measurement, Atomic Clocks, Solar System, Space-Time Functions

Scientific paper

The second order relativistic effects of the sun and the earth in deriving the precise equation of transformation between proper atomic time on earth and the PPN time in the solar system are considered. The time arrival formula is obtained from the null geodesic equation, and various relativistic effects are estimated. The results improve Hellings' to 10 to the -14th s. The high accuracy is necessary in deriving the period derivative of millisecond pulsars and in the study of their stability.

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