High-order fault-tolerant satellite orbit determination method based on polynomial expansion technology
A technology of polynomial expansion and satellite orbit, which is applied in the field of high-order fault-tolerant satellite orbit determination, and can solve problems such as random measurement errors and inability to accurately estimate satellite status
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[0064] This example discloses a high-order fault-tolerant satellite orbit determination method based on polynomial expansion technology. The specific implementation steps are as follows:
[0065] Step 1: Establish the dimensionless satellite orbit state equation as
[0066]
[0067] in respectively represent the dimensionless time, the dimensionless position vector and the angular velocity value of the satellite, t, r, 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=8788km, μ e is the gravitational constant of the earth.
[0068] Step 2: Establish nonlinear measurement equations, including radial distance, right ascension and declination,
[0069]
[0070] where u=[u 1 , u 2 , u 3 ] T Represents the measurement noise vecto...
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