Analyses and estimates on measurement precisions of model parameters in pulsar timing

Abstract

The precise measurements of the model parameters in pulsar timing are the basisof the applications of pulsar timing. Pulsar timing model contains geometrical, physical, orbital effects, and so on. In this paper, we regarded the Earths revolution as the elliptical orbit and obtained general conclusions in the ecliptic system of coordinates. Based on that, we gave the analytic expressions of estimating the measurement precision of these model parameters, and obtained the measurement precision of some model parameters depending on ecliptic latitude. In particular, for the estimation of the measurement precision of the parallax, a quite different result from the previous work was obtained.This is meaningful for the choices of pulsars in the practical observations.