The invention discloses an optimal orbital transfer method of a low-earth-
orbit satellite under a limited thrust by taking J2 perturbation into consideration, relates to the optimal orbital transfer method of the low-earth-
orbit satellite, and belongs to the field of
aerospace. The optimal orbital transfer method comprises the following steps of: establishing a
dynamic equation of a
spacecraft by taking the J2 perturbation into consideration; solving a Hamiltonian function H corresponding to an optimal fuel consumption
performance index according to the states of the
spacecraft at the beginning and the end; solving an
optimal control rate and a corresponding
covariance equation according to a pontryagin
maximum principle; constructing a two-
point boundary value problem shooting equation set meeting the optimal fuel consumption according to an
optimal control condition of a variational method; solving the two-
point boundary value problem shooting equation set according to the states of the
spacecraft at the beginning and the end as well as the
flight time to obtain the
optimal control rate formed by an optimal
thrust control direction and an engine switching function; and controlling the orbital transfer of the
satellite by using the control rate, so that the real-time performance and the orbital transfer precision in the transfer process of the low-earth-
orbit satellite can be increased, and the fuel consumption required for the orbital transfer is reduced. The optimal orbital transfer method disclosed by the invention is suitable for the orbital transfer process of the low-earth-orbit satellite when a limited thrust model is adopted by an engine.