Computational and Applied Mathematics

, Volume 37, Supplement 1, pp 96–109 | Cite as

Analysis of analytical attitude propagators for spin-stabilized satellites

  • M. C. ZanardiEmail author
  • C. C. Celestino
  • G. Borderes Motta
  • E. M. França
  • R. V. Garcia


In this paper, analytical attitude propagators for spin-stabilized satellites are analyzed. For this purpose, external torques are introduced in the motion equations such as solar radiation pressure torque, aerodynamic torque, gravity gradient torque, and magnetic residual and eddy current torques. For the magnetic torques, it used both the dipole and quadripole Earth’s magnetic field models. The obtained analytical solution is applied and compared with actual data for Brazilian data collection satellites SCD1 and SCD2. The results, when a daily data update is applied, based on the INPE-Brazilian Institute for Space Research supplied data, show a good agreement of all involved parameters with the actual deviations in the parameter values within the precision required for the satellite mission. This permits to conclude that the used theory is suitable for the studied problem. Thus, the propagators presented in this work can be applied to predict the rotational motion of spin-stabilized artificial satellites, particularly for SCD1 and SCD2 satellites over the considered time period.


Analytical propagators Spin-stabilized satellites Environmental torques 

Mathematics Subject Classification




This present work was supported by CAPES-PVNS and CNPq (Process no. 421672/2016-1).


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© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018

Authors and Affiliations

  1. 1.Federal University of ABCSanto AndréBrazil
  2. 2.São Paulo State UniversityGuaratinguetáBrazil
  3. 3.USP (University of São Paulo), EELLorenaBrazil

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