Disclosed is a method and
system for utilizing a spherical cap
harmonic model to determine disturbing gravity along an
orbit. Before an aircraft is launched, with a first launching area as a sphericalcap area to be approached, the
radius of a spherical cap is determined, and a spherical cap coordinate
system is established; under the condition that an origin of coordinates is unchanged, the
radius of the spherical cap is mapped to a hemisphere, and a new coordinate
system is established; under the new coordinate system, a non-integral numerical value of a spherical cap
harmonic expression iscalculated; on the basis of the non-integral numerical value, the spherical cap
harmonic model is utilized to calculate the disturbing gravity under the new coordinate system; the disturbing gravity is converted into the original coordinate system, and the disturbing gravity of the aircraft along the
orbit is obtained. By means of the method and system, the practical application effects of the spherical cap
harmonic analysis model in studies of
partial gravity fields are improved, under the condition of meeting the same accuracy, the speed of assigning the disturbing gravity of the spacecraftalong the
orbit is increased, fewer memories are required, and mobile and quick launching is facilitated.