毫秒脉冲星天文定时观测中的高阶相对论效应

THE HIGH ORDER RELATIVISTIC EFFECTS IN MILLISECOND PULSAR TIMING

本文在考虑太阳和地球的二阶相对论效应的情况下,导出地球上原时(原子钟)与太阳系PPN坐标时之间的高精度变换公式;用零测地线方程得到了脉冲信号到达时间的公式.并且讨论了各种引力效应贡献的量级.本文的结果改进了Hellings关于脉冲星定时观测公式的精度,达到10^(-14)s.在用毫秒脉冲观测资料研究毫秒脉冲星的周期变化率和稳定性时,这样的精度是很必要的.

In this paper, the second order relativistic effects of the Sun and the Earth in deriving the high precision transformation equation between the proper time of the atomic clock on the Earth and the PPN time in the Solar System are considered. The arrival time formula obtained from the null geodesic equation. Then various kinds of the relativistic effects are estimated. Our results improved the accuracy of Helling's one to 10^(14) second. The high accuracy is necessary to research the period derivative and stability of millisecond pulsar (MSP) with the observational material of MSP.