Singular-point-free technology for determining and improving navigation satellite orbit under action of potential force

Abstract

The invention relates to a singular-point-free technology for determining and improving the navigation satellite orbit under the action of a potential force. The technical features are that a theoretical expression of potential force perturbation is acquired through a Lagrange fundamental equation, then a singular-point-free theoretical expression of a satellite disturbed orbit is formed, the theoretical expression is fitted according to observation for a navigation satellite, thereby determining the orbit of the navigation satellite or carrying out improvement on the navigation satellite orbit. Because orbits of all Beidou navigation satellites are near-circular orbits or equatorial orbits, a singular-point problem exists in all classic orbital theories, so that orbit determination or orbit improvement are failed. The technical method provided by the invention can provide theoretical orbit determination and orbit improvement for the orbits of the Beidou navigation satellites without a problem of singular points. In addition, the technical calculation method adopted by the singular-point-free technology is simple, thereby being capable of effectively reducing the calculation amount, and applicable to satellite automatic orbit determination. Because perturbative forces of the satellites are divided into two types which are potential forces and non-conservative forces, so that the singular-point-free technology provided by the invention is applicable to orbit determination of potential force perturbation. The perturbation of the non-conservative forces is explained in another invention, and the overall singular-point-free orbit determination technology is formed by combining the two aspects.

Description

technical field [0001] The invention relates to a method and technology for determining satellite orbits and improving satellite orbits by using the theory and technology of no singularity, relates to the technical field of satellite navigation and positioning, relates to the field of navigation satellite measurement and orbit determination, and belongs to the subject of geodesy and satellite navigation and positioning. It belongs to the subject of astrometry and celestial mechanics. Background technique [0002] The key issue in determining and improving the orbit of navigation satellites under the action of potential lies in the application of satellite motion equations. [0003] At present, there are two main types of equations describing the motion of navigation satellites: 1) The equation of motion in the Cartesian coordinate system. This method cannot obtain a theoretical solution, that is, a theoretical orbit description, so it can only be solved by numerical integrat...

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Problems solved by technology

[0003] At present, there are two types of equations that mainly describe the motion of navigation satellites: 1) The equation of motion in the Cartesian coordinate system. This method cannot obtain a theoretical solution, that is, a theoretical orbit description, so it can only be solved by numerical integration, which requires an integrator and a larger Computing power, difficult to real-time, unable to conduct qualitative analysis of motion, unable to apply on-board orbit determination

2) The Lagrangian equation under the Kepler variable, the theoretical description of the satellite orbit can be obtained by applying this equation, the orbit determination and orbit improvement become a fitting adjustment filter, the calculation amount is greatly reduced, and it is suitable for on-board self-propelled The orbit determination application can be real-time, but there is a singularity problem in the description of the orbit theory

[0005] The above-mentioned existing theoretical methods and technologies either have a large amount of calculation, require an integrator, are difficult to real-time, and cannot be qualitatively analyzed, or have singularity problems and cannot be used for orbit determination of navigation satellites

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