Low-thrust long-term position keeping method for geostationary orbit satellite
A geostationary orbit, low-thrust technology, applied in the direction of aerospace vehicle guidance devices, aerospace equipment, space navigation equipment, etc., can solve the problem of not fully utilizing the long-term characteristics of satellite perturbation motion, lack of coordination state initial value guessing method and position maintenance Optimization algorithm convergence stability and convergence speed and other issues
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Embodiment 1
[0123] Such as figure 1 As shown, this embodiment discloses a low-thrust long-term position keeping method for geostationary satellites. In order to verify the method, firstly, a satellite operating in geostationary orbit is selected as the main research object. The basic parameters of the satellite are shown in the table below.
[0124] Table 1 Satellite parameters
[0125]
[0126]
[0127] Step 1: Through spherical coordinates, establish the motion model of the geostationary orbit satellite in the space including the orbital plane and the outer plane under the influence of environmental perturbation, and analyze the periodic motion law of the geostationary orbit satellite;
[0128] The band harmonics and field harmonic coefficients used to calculate the Earth's non-spherical perturbation are shown in the following table:
[0129] Table 2 Principal term coefficient of the earth's gravitational field
[0130]
[0131] Bringing the parameters in Table 1 and Table 2...
Embodiment 2
[0155] The first four steps of embodiment 2 are the same as the first four steps of embodiment 1.
[0156] Step 5: Solve the two-point boundary value problem described in step 4 by the co-state initial value guessing method, and bring the result into step 4 to obtain the time-optimized and fuel-optimized control laws for small thrust position maintenance:
[0157] Step 5.1: Calculate the pulse thrust ΔV required for position maintenance through the deviation of the initial and final orbital elements * = 5.987m / s and the action position of pulse thrust
[0158] Step 5.2: Search for Longitudes Containing Pulsed Thrust Actions The continuous thrust arc segment, so that the satellite can complete with the application of pulsed thrust ΔV * After =5.987m / s, the position of the same effect is maintained, and the right ascension of the startup and shutdown of the continuous thrust arc is recorded and the total boot time Δt * = 47649s; using continuous thrust F const =200mN and ...
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