地心坐标系与站心坐标系中的速度转换及误差传播

Abstract

详细推导了由地心坐标系中到测站坐标系中的速度转换公式及误差传播公式,并且计算了931个GPS测站点在球面测站坐标系与椭球面测站坐标系中速度分量之间的差别。结果表明,测站高度对速度归算影响的相对变化量在10-4~10-3量级(对于厘米级的速度分量而言,可以忽略不计),球面站心坐标系和椭球面站心坐标系下的速度分量差别主要表现在测站速度的北分量上,通常为10-6~10-5量级,可以忽略不计。但是,对于垂直速度分量较大的测站,两者的差别比较明显。 In this paper, the equations of the velocity transformation and error propagations between the geocentric coordinate system and site-centric coordinate system are given in detail. These equations are applied to transform velocities of 931 GPS stations in China between these two systems . The numerical results show that the effect of station’s altitude on the velocity transformation is in a relative scale of 10-4-10-3 , they can be ignored. The velocity difference between spherical site-centric coordinate system and ellipsoidal one presents itself mainly in the north component, it is generally in a scale of 10-5-10-6 and can be ignored. However, for those stations with larger vertical movements, the difference between sphere and ellipsoid on the velocity transformation is significant.