The fastest maneuvers of a spacecraft with a jet engine of a large limitedthrust in a gravitational field in a vacuum

The fastest maneuvers controlled by a thrust vector are considered for a sp acecraft with a jet engine of a large limited thrust, at a final mass restr icted or unrestricted beforehand. A method of numerical solution based on t he maximum principle is discussed for the problems of optimal control over these maneuvers. As examples, we consider the problems of spacecraft flight s between points of a circular orbit, including the problem of the fastest flight at a final mass restricted and unrestricted beforehand, and, inciden tally, the problem of a fight with minimal mass expenditure at a restricted flight time.