Parameter determination of the space craft motion by results of measurements provided a noise is in dynamic system.
By solving problems of parameter determination of the SC motion frequently arises a problem of determination of the SC motion upon a noise background of engine’s work. As examples it is possible to present the following problems: controlling of the space vehicle launch phase into orbit of the Earth’s artificial satellite, actual estimation of performance of impulses and forecast of a falling of an orbital complex on measurements of ground means with a noise of boosters working, determination of the SC motion parameters with an electro-rocket propulsion system. In this work algorithms of a solution of the mentioned above problems taking into account various performances of an influencing noise are considered. To the model of such kind a problem of the SC motion parameters determination on measurements of a pseudo-rates and pseudo-ranges of satellite navigational systems leads. The dynamic model describing a behavior of kinematical and service parameters consists of the equations of a SC flight dynamics and equations of an autoregression, into which the exciting white noise enters.