Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45367420211001Effect of the Gravity and Magnetic Field to Find Regular Precessions of a Satellite-gyrostat with Principal Axes on a Circular Orbit212021281695510.22055/jacm.2021.37913.3113ENH.M.YehiaDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptH.N.El-kenaniDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptJournal Article20210708We consider the motion of a magnetized satellite-gyrostat in a circular orbit due to the combined influence of uniform gravity and magnetic fields. Based on the Lagrangian equations, the necessary conditions for the existence of regular precessions are determined in which the axis of precession is perpendicular to the orbital plane. All possible regular precessions and permanent rotations are determined and classified. We show the usage of Lagrange equations taking Eulerian angles as generalized coordinates for determining the regular precessions is more effective and accurate than utilization of Euler-Poisson equations.https://jacm.scu.ac.ir/article_16955_a07efee6cd00cc823212fa8e91dc134d.pdf