A novel solution for pseudo-range measurement equations of multi-system

Unlike classical linear-iterative solution, in this paper, we derived an algebraic solution to the multi-system satellite navigation equations, especially for double-system and triad-system. In our solution, the direct variables are reference satellite-receiver-ranges. By this way, we can solve the problem of converging to the wrong solution in conventional solution, which performs based on range-direction-cosine matrix when the initial assumed position is chosen difficultly in some special situation(such as space application). Simulation indicates that our solution can not only work well in space application, but also has the same precision as the conventional in earth-bounded situation.