The invention discloses a
satellite group collaborative prediction method based on Lie group differential manifold and covariant optimization, and mainly solves the problems of inaccurate disturbance modeling, poor physical interpretation and large prediction error in the prior art. According to the scheme, the method comprises the following steps: mapping the position and attitude of a
satellite to an SE (3) manifold, and describing the movement speed of the
satellite by using Lie algebra; establishing a multi-level Lie algebra disturbance
decomposition mechanism including absolute perturbation, relative
coupling and observation
noise; constructing a Riemannian
loss function by using the
orbit state after Lie group manifold embedding and the
orbit state deviation obtained by disturbance
decomposition; defining an orbital state updating rule by using a covariant derivative of the function, and iteratively solving the orbital state updating rule on the SE (3) manifold to output an orbital
state prediction result of the satellite; for an abnormal state of inter-satellite link interruption, a differential geometric
connection form is defined, and virtual relative position observation of an integral generation
orbit state is carried out. According to the method, the physical
interpretability and long-term prediction stability of
orbit prediction can be improved, prediction errors are reduced, and the method can be used for low orbit communication
constellation deployment of
frequency band inter-satellite links.