A new algorithm of a multi-baseline solution (MBS) based on the equivalence principle for precise relative positioning is proposed in this paper. The objective of the solution is to keep the observations independent when eliminating the satellite and receiver’s clock errors. The equivalent differenced observation equations are developed through the equivalent transform. Because of the high-dimension characteristics of the MBS ambiguity, a modified partial ambiguity resolution of the MBS (PAR-MBS) strategy is developed to determine an ambiguity subset. Compared with the traditional single-baseline solution (SBS), the zero and short baseline experiments are carried out to validate and evaluate the proposed algorithm. The results show that the MBS can enhance the strength of the relative positioning model and improve positioning accuracy and availability. The PAR-MBS can shorten the convergence time for the epoch to first fix by on average 41.7% with all 80 observation segments. Moreover, the difference of the positioning errors between the MBS and SBS is indistinguishable for the 45 and 60 min schemes. However, for the 30 min scheme, there is a significant performance improvement by approximately 11%, 10% and 14% in the N, E, and U components, respectively. The closure errors of the repeated baselines and triangle closed loops can also deliver similar results for the 45 and 60 min schemes; however, for the 30 min scheme, there is a remarkable performance improvement by approximately 48%, 59%, and 12%, and 54%, 65%, and 10% in the N, E, and U components, respectively.

提出了一种基于等价原理的多基线解（MBS）的精确定位算法。解决方案的目的是在消除卫星和接收器的时钟误差时保持观测独立。通过等效变换建立等效的差分观测方程。由于MBS模糊度的高维特性，因此开发了MBS策略的修改的部分模糊度解决方案（PAR-MBS），以确定模糊度子集。与传统的单基线解决方案（SBS）相比，进行了零基线和短基线实验，以验证和评估该算法。结果表明，MBS可以增强相对定位模型的强度，提高定位精度和可用性。PAR-MBS可以将所有80个观察段的首次定位的收敛时间平均缩短41.7％。此外，对于45分钟和60分钟方案，MBS和SBS之间的定位误差之差是无法区分的。但是，对于30分钟的方案，N，E和U组件的性能分别显着提高了约11％，10％和14％。对于45分钟和60分钟的方案，重复的基线和三角形闭合回路的闭合误差也可以产生相似的结果。但是，对于30分钟的方案，N，E和U组件的性能显着提高了大约48％，59％和12％，以及54％，65％和10％，