Relativistic transformation between τ and TCG for Mars missions under IAU Resolutions

摘要: Considering the fact that general theory of relativity has become an inextricable part deep space missions, we investigate relativistic transformation between proper time onboard clock τ and Geocentric Coordinate Time (TCG) for Mars missions. By connecting with this local timescale associated Earth, extend previous works which focus on Barycentric (TCB). (TCB is global coordinate whole solar system.) For practical convenience, relation TCG recast to directly depend quantities can be read from ephemerides. We find difference reach level about 0.2 seconds in a year. To distinguish various sources transformation, numerically calculate contributions caused by Sun, eight planets, three large asteroids spacecraft. It found if threshold 1 microsecond adopted, must include effects due Venus, Moon, Mars, Jupiter, Saturn velocities spacecraft Earth.