Typical Walker constellation mathematical model described by utilizing orbit elements

Abstract

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.

Description

technical field [0001] The invention belongs to the technical field of aerospace satellite Internet constellation design, in particular to a typical Walker constellation mathematical model described by orbital elements. Background technique [0002] The constellation usually consists of one or more types of orbiting satellites as a whole. The Walker constellation is the most effective constellation covering the whole world and latitude zone, including star constellation, delta constellation, rose constellation and σ constellation, among which the delta constellation has been widely used. Both the σ constellation and the rose constellation are special cases of the delta constellation. At present, there is a research basis for the parameter description models of the above-mentioned typical Walker constellations, which can provide references for constellation design, constellation simulation analysis, and optimization design analysis. [0003] A star constellation with an orbi...

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Problems solved by technology

[0008] (1) Constellation simulation needs to analyze the constellation performance of different configurations, and when building a simulation environment, it is necessary to develop corresponding interfaces for different constellation configurations, which is not conducive to general design;

[0009] (2) Constellation simulation needs to analyze the operating state of the constellation in real time, and the parameter description model can only describe the configuration state of the constellation, but cannot express the operating state of the constellation;

[0010] (3) The constellation parameter model only contains some orbital elements, or even does not contain orbital elements, and it is difficult for designers who are not familiar with the parametric model to quickly understand the orbital characteristics of the configuration

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