Chaotic attitude oscillations of a satellite filled with a rotating ellipsoidal mass of liquid subject to gravity-gradient torques.
The Hamiltonian equations of a liquid-filled satellite subject to gravity-gradient torques in terms of the generalized Deprit variables are established for applying the Melnikov theory formally. The heteroclinic orbits of the torque-free symmetric liquid-filled satellite are found. A criterion for the heteroclinic transversal intersections at the onset of chaotic attitude is formulated using Melnikov's integral. The results from the Melnikov theory are crosschecked with simulation.
Kuang
Jinlu
J
Satellite Engineering Center, College of Engineering, School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798. ejlkuang@ntu.edu.sg
Leung
A Y T
AY
Tan
Soonhie
S
D000054:Acceleration; D003198:Computer Simulation; D006112:Gravitation; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*; D010507:Periodicity; D012212:Rheology / Q000379:methods*; D012399:Rotation; D012996:Solutions; D018531:Spacecraft; D019415:Torque
D012996:Solutions