Satellite formation initial positioning algorithm based on relative position vector measurement
A relative position vector and satellite formation technology, which is applied in the direction of aerospace vehicle guidance devices, integrated navigators, etc.
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[0097] The following will be combined with figure 1 And technical scheme, take the satellite cluster that three stars A, B, C form as example, the concrete implementation process of the present invention is described in further detail.
[0098] Step 1: Characterize the relative position change by adaptive polynomial fitting
[0099] The invention adopts a method of polynomial fitting to a series of relative position vector measurement data to characterize the relative motion between the stars, and then obtains the relative acceleration information between the stars. By analyzing the change trend of the sum of squares of fitting residuals between different fitting orders, the invention provides an adaptive fitting criterion for selecting an adaptive fitting order. The fitting residual sum of squares is defined as:
[0100]
[0101] According to the rate of change of the sum of squares of residuals between adjacent fitting orders as the selection index of the fitting order,...
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