In pulsar binary systems,the Römer delay correction refers to the variation in the time it takes for pulsar signals to reach Earth due to the orbital motion of the pulsar.This paper considers the second-order post-Newtonian equations of motion that include the coupling effects of spin and orbit.Based on this,it derives a new expression for the Römer delay correction and provides a magnitude analysis of the impact of spin on the Römer de-lay.The new Römer delay correction takes into account the influence of the pulsar's spin on its orbital motion,providing a theoretical basis for more precise pulsar radio astronomi-cal observations and tests of gravity.
post-Newtonian approximationbinary systempulsartiming model