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天文常数中的相对论问题
引用本文:陶金河,黄天衣.天文常数中的相对论问题[J].天文学进展,1999,17(2):93-103.
作者姓名:陶金河  黄天衣
作者单位:南京大学天文系!南京,210093,中国科学技术大学天体物理中心,南京,210093,中国科学技术大学天体物理中心!南京,210093
摘    要:现代天文观测技术的日新月异、广义相对论的1PN近似方法在天体力学和天体测量中的广泛应用,使得有必要在1PN框架中严格而细致地重新审查天文常数系统。在相对论框架里,太阳系天体的质量应当定义为BD质量,它们的相对变化不超过10^-19,可视为守恒量;引力势满足的方程不再是Poisson方程而与坐标规范的选择有关,引力势也不再能用传统的球谐函数展开。应当选定一种规范,并且以BD多极矩作为天文常数。黄赤交

关 键 词:相对论  参考系  天文常数

Relativistic Problems on Astronomical Constants
Tao Jinhe, Huang Tianyi.Relativistic Problems on Astronomical Constants[J].Progress In Astronomy,1999,17(2):93-103.
Authors:Tao Jinhe  Huang Tianyi
Abstract:The fact that the modern astronomical observational technique has made rapid progress and the IPN approximation of general relativity has been extensively applied in celestial mechanics and astrometry, makes it is necessary to investigate and examine the system of astronomicalconstants carefully and rigorously in the relativistic framework. The mass of a celestial body in the solar system should be defined as its BD mass that changes relatively in an amount less than 10-19 and could be considered as a constant. The equations satisfied by the gravitationalpotentials are not Poisson equations anymore but depend on the choice of the coordinate gauge.Therefore the gravitational potentials cannot be expanded in the traditional harmonics. It is neccessary to choose the coordinate gauge and take BD multipole moments as astronomical constants. The obliquity of the ecliptic has been determined in high precision and it would be neccessary to give a conventional definition of the IPN ecliptic. A relativistic definition of the geoid is important and left to be discussed. The astronomical constants that relate the units of time and length have been clearly defined but need to be clarified to avoid their misuse.
Keywords:relativity-reference systems-astrnomical constants  
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