The invention relates to the technical field of aerospace satellite internet constellation design, in particular to a typical Walker constellation mathematical model described by utilizing orbit elements, which comprises six orbit elements (aj, k, ej, k, ij, k, omega j, k, omega j, k, k, fj and k). The Walker constellation types comprise a star constellation, a delta constellation, a rose constellation and a sigma constellation; in the six elements of the orbit, aj, k, ej, k, ij, k, omegaj, k, omegaj and k jointly describe the constellation configuration of the Walker constellation, and fj andk describe the constellation operation state of the Walker constellation. When satellite internet constellation simulation is carried out, a simulation environment taking six elements of an orbit asinput can be built, so that the performance of a constellation system is analyzed, and the realization of universal design is facilitated.