Geosynchronous transfer section orbit element high-precision fitting method
An orbital number and geosynchronous technology, which is applied in the field of spacecraft measurement and control, can solve the problems that the extrapolated orbit cannot meet the high precision, the expression of the basis function is complex, and it is not suitable for use. It is easy to popularize and use, and has good reliability. , the effect of strong operability
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[0064] The spacecraft used in this embodiment is a geosynchronous satellite, which operates on a geosynchronous orbit at an altitude of 36,000 km, and its main task is to conduct communication technology experiments.
[0065] Such as figure 1 As shown, the specific steps are as follows:
[0066] Step 1: Fit the orbit in the time interval [t 0 ,t f ] The default step size Δt is used to calculate k sets of orbit data, and the data includes the satellite orbit parameter time t j = t 0 +(j-1)·Δt, j=1, 2, L k, semi-major axis a j , eccentricity e j , inclination i j , right ascension of ascending node Ω j , the argument of perigee ω j , mean anomaly angle M j ;
[0067] Step 2: Calculate the orbital semi-major axis and the average orbital angular velocity n, its calculation method is as follows:
[0068] track semi-major axis mean orbital angular velocity where μ is the gravitational constant of the earth;
[0069] Step 3: Write down the prediction equation. In the ...
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