The invention belongs to the technical field of
spacecraft flight, and particularly relates to a modeling method of a space three-body flexible tethered
satellite formation
system under a non-inertialreference coordinate
system. The modeling method comprises the following steps that firstly, a
satellite formation
system model and a non-inertial reference system fixed to the system
centroid are established; secondly, a flexible tether connecting a
satellite is discrete into a plurality of tether units, and the satellite and tether unit particles are numbered; and finally, dynamic equations ofdiscrete element particles under the non-inertial reference system are established, and then the dynamic equations of the satellite formation system are derived. According to the modeling method of the space three-body flexible tethered satellite formation system under the non-inertial reference coordinate system, modeling is carried out under the non-inertial reference system, redundant steps such as selecting
generalized coordinates and coordinate transformation are not required, and simultaneously flexibility of the
space tether is considered, so that the method is faster and more accuratein describing various space dynamic behaviors of a formation system and revealing spin stability and
instability states of the system. In addition, the modeling method of the space three-body flexibletethered satellite formation system under the non-inertial reference coordinate system can further be extended to modeling of a four-body or multi-
body space tethered formation system and has great practical value.