Nonlinear satellite orbit determination method based on autonomous filtering order switching
A technology for determining the method and satellite orbit, which is applied to space navigation equipment, space navigation vehicles, space navigation equipment, etc., and can solve the problem that the Kalman filter cannot obtain the advantages of low-level algorithms and high-level algorithms at the same time
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[0070] This example discloses a high-order fault-tolerant satellite orbit determination method based on polynomial expansion technology. The specific implementation steps are as follows:
[0071] Step 1: Establish the dimensionless satellite orbit state equation as
[0072]
[0073] in respectively represent the dimensionless time, the dimensionless position vector, velocity vector and angular velocity value of the satellite, t, r, v, ω represent the corresponding dimensioned values, Indicates the norm of the satellite's dimensionless position vector; in addition, the nominal angular velocity of the satellite Indicates the average orbital angular velocity of the satellite running on the orbit with the semi-major axis a=42164km, μ e is the gravitational constant of the earth.
[0074] Step 2: Establish nonlinear measurement equations, including radial distance, right ascension and declination,
[0075]
[0076] where u=[u 1 ,u 2 ,u 3 ] T Indicates the measureme...
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