Singular point judgment method based on singular geometric significance of control moment gyro group
A technology for controlling moment gyroscopes and moment gyroscopes. It is applied in geometric CAD, space navigation equipment, and space navigation vehicles. Effect of Simplifying Judgment Calculations
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[0052] The present invention will be further described below through specific embodiments in conjunction with the accompanying drawings. These embodiments are only used to illustrate the present invention, and are not intended to limit the protection scope of the present invention.
[0053] The present invention is a singular point determination method based on the singular geometric meaning of the control moment gyroscope group (SGCMG), such as figure 1 As shown, the method includes the following steps:
[0054] Step 1: According to the frame angle, initial moment vector and initial angular momentum vector of each moment gyroscope in SGCMG, calculate the moment vector and angular momentum vector of each moment gyroscope in SGCMG respectively.
[0055] The moment vector of each moment gyroscope is c, then the moment vector of the i-th moment gyroscope is c i , i=1,2,3...n, n is the number of moment gyroscopes, and satisfy:
[0056] c i =-h i 0 sinδ i +c i 0 cosδ i
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