Abstract:
The paper considers an approach to approximating the sensor data of an autonomous
navigation system installed on the Russian segment of the International Space Station
based on application of a mathematical model of the orbital motion of a spacecraft, where
aerodynamic drag forces are calculated using the calculation of the mid-section section
using a geometric model of the outer surface. This approach was used to analyze these
intervals up to ten days of flight of the International Space Station in January and June
2018. The paper presents the results of mathematical modeling using the described
mathematical model and a standard mathematical model using a ballistic coefficient. The
proposed mathematical model shows significantly better approximation indices.
Keywords:data approximation, aerodynamic drag, spacecraft, Levenberg–Marquardt
method, geometric model, International Space Station.