Abstract
In this paper the second order relativistic effects of the Sun and the Earth in the deriving of 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. Our results improve Hellings' to 10 −14 s. The high accuracy is necessary in the deriving of the period derivative of millisecond pulsars and in the study of their stability.
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