Publicación: ATTITUDE DYNAMICS OF A RIGID BODY IN CIRCULAR ORBIT. RELATIVE EQUILIBRIA AND STABILITY
Fecha
2019
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ADVANCE IN THE ASTRONAUTICAL SCIENCES
Resumen
WE ADDRESS THE ATTITUDE DYNAMICS OF A TRIAXIAL RIGID BODY IN A CIRCULAR ORBIT. THIS TASK IS DONE BY MEANS OF PARTIAL AVERAGING OF THE FAST ANGLES LEADING TO A 1-DOF SYSTEM. THIS TASK IS DONE BY MEANS OF AN INTERMEDIARY MODEL, WHICH IS OBTAINED BY SPLITTING THE HAMILTONIAN IN THE FORM H = H0 +H1, WHERE H0 DEFINES A NON-DEGENERATE INTEGRABLE 1-DOF HAMILTONIAN SYSTEM. THIS MODEL DEFINES A POISSON FLOW BASED ON THE USE OF THE INVARIANTS DEFINING A S2M × S2M REDUCED SPACE. WE ANALYZE THE COUPLING BETWEEN THE ORBITAL MEAN MOTION AND ROTATIONAL VARIABLES. THE KEY ROLE PLAYED BY THE MOMENTS OF INERTIA AND THE VALUE OF THE ANGULAR MOMENTUM IN THE DIFFERENT TYPES OF RELATIVE EQUILIBRIA AND BIFURCATIONS IS SHOWN IN DETAIL. THE ANALYSIS OF THE AVERAGED SYSTEM H? SHOWS THAT UNDER SLOW ROTATION THE CLASSIC DYNAMICS OF THE FREE RIGID BODY IS NO LONGER MAINTAINED: SEVERAL BIFURCATIONS WITH CHANGES OF STABILITY ARE DISPLAY BY THE AVERAGE SYSTEM. MOREOVER, THE PRECESSION OF THE ANGULAR MOMENTUM PLANE ALWAYS CIRCULATES, ACCORDING TO THE DYNAMICS OF THE ANGLE ?, WHICH IS GIVEN BY A TIME DEPENDENT HARMONIC OSCILLATOR. A NUMERICAL STUDY IS PRESENTED COMPARING THE DYNAMICS OF THE AVERAGING WITH THE FULL SYSTEM, SHOWING THAT IT IS A GOOD APPROXIMATION FOR MANY INITIAL CONDITIONS..
