Open AccessCalculation of the aerodynamic torque in the problems of mathematical modeling of the attitude motion of spacecraft Progress
Author(s) -
Mikhail Yuryevich Belyaev,
Т. В. Матвеева,
Vasilii Victorovich Sazonov,
В В Сазонов
Publication year - 2021
Publication title -
preprint/preprinty ipm im. m.v. keldyša
Language(s) - English
Resource type - Journals
eISSN - 2071-2901
pISSN - 2071-2898
DOI - 10.20948/prepr-2021-29
Subject(s) - spacecraft , torque , aerodynamics , equations of motion , rotation around a fixed axis , physics , orientation (vector space) , aerospace engineering , motion (physics) , quaternion , rotation (mathematics) , classical mechanics , control theory (sociology) , mechanics , computer science , mathematics , engineering , geometry , control (management) , artificial intelligence , thermodynamics
We describe the method of representation the aerodynamic torque in problems of mathematical modeling uncontrolled attitude motion of spacecraft Progress. The components of the torque are calculated in the nodes of the grid on the two-dimensional sphere. The calculations were based on the detailed geometric model of the spacecraft external surface. The found arrays of torque data were approximated by the segments of the Fourier series by spherical functions up to the order (8,8) inclusive. These approximations are used in the equations of attitude motion of the spacecraft. We describe the use of such equations in reconstruction of the motion of spacecraft Progress MS-07, MS-08 in the gravitational orientation mode by measurements of their angular rates and in the prognosis of electric charge from the solar arrays of the spacecraft in the mode of its single-axis solar orientation.