The invention relates to the technical field of navigation
satellite application, in particular to a
satellite borne rapid multi-step integration method for a track in real-time precise
orbit determination. The method comprises the following steps: selecting an integration window, and then smoothening the motion state of all epoch satellites in the whole window by virtue of the observed value at an epoch position at the
tail end of the window; transferring matrix integration according to the updated motion state and the given state of all the epoch satellites in the window to calculate the new motion state of the epoch satellites; and finally updating a window epoch, i.e. moving backwards one epoch from the initial epoch of the window, and then smoothening the motion state of all the epoch satellites in the smoothening window by means of updating the
observed information on the epoch at the
tail end of the window. In the method, a multi-
step method is adopted while updating the epoch and a single-
step method while intersecting the epoch, thus achieving high
numerical precision, better stability and smaller integral right-function calculation, transferring matrix information by the given state, avoiding updating state for matrix transfer while updating the state, reducing times for calculating integral right function, effectively improving calculating speed, transforming window length according to different calculation accuracy, and ensuring integral precision.