CAJ | 학술논문

爱因斯坦的广义相对论已成为当今深空探测任务中一部分，为此将在研究环火星探测器星载钟原时τ与地球质心坐标时(TCG)的变换中应用相对论变换关系，将τ与地球相关联的局部时间尺度联系起来，从而扩展了之前关于τ与太阳系质心坐标时(TCB)相对论变换的工作(TCB 是应用于整个太阳系的全局坐标时)。研究发现τ和 TCG 的差在经历一年的时间后可达到0.2 s 量级。为了区分相对论变换中各种效应的贡献，用数值方法计算了太阳、八大行星、三个大质量小行星以及探测器的贡献。发现在精确到1μs 量级下，相对论变换必须包括太阳、金星、月球、火星、木星、土星的引力影响以及探测器和地球的速度影响。
애인사탄적엄의상대론이성위당금심공탐측임무중일부분，위차장재연구배화성탐측기성재종원시τ여지구질심좌표시(TCG)적변환중응용상대론변환관계，장τ여지구상관련적국부시간척도련계기래，종이확전료지전관우τ여태양계질심좌표시(TCB)상대론변환적공작(TCB 시응용우정개태양계적전국좌표시)。연구발현τ화 TCG 적차재경력일년적시간후가체도0.2 s 량급。위료구분상대론변환중각충효응적공헌，용수치방법계산료태양、팔대행성、삼개대질량소행성이급탐측기적공헌。발현재정학도1μs 량급하，상대론변환필수포괄태양、금성、월구、화성、목성、토성적인력영향이급탐측기화지구적속도영향。
Considering the fact that the general theory of relativity has become a part of deep space missions,we investigate the relativistic transformation between the proper time of an onboard clock τ and the geocentric coordinate time (TCG)for Mars missions.By connectingτ with this local timescale associated with the Earth,we extend previous works which focus on the transformation between τ and the barycentric coordinate time (TCB). (TCB is the global coordinate time for the whole solar system.)For practical convenience,the relation betweenτand TCG is recast to directly depend on quantities which can be read from ephemerides.We find that the difference between τ and TCG can reach the level of about 0 ∶ 2 seconds in a year.To distinguish various sources in the transformation,we numerically calculate the contributions caused by the Sun,eight planets,three large asteroids and the spacecraft.It is found that if the threshold of 1 microsecond is adopted,this transformation must include effects due to the Sun,Venus,the Moon,Mars,Jupiter,Saturn and the velocities of the spacecraft and Earth.