Analytical solution of a gravity gradient axisymmetric satellite in eccentric orbits

1989 ◽  
Vol 50 (6) ◽  
pp. 2187-2203 ◽  
Author(s):  
A. C. SOUDACK ◽  
V. J. MODI ◽  
A. C. NG
Keyword(s):  
Analytical Solution ◽  
Gravity Gradient ◽  
Eccentric Orbits

scholarly journals Higher-Order Analytical Attitude Propagation of an Oblate Rigid Body under Gravity-Gradient Torque

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Juan F. San-Juan ◽  
Luis M. López ◽  
Rosario López
Keyword(s):  
Perturbation Theory ◽  
Analytical Solution ◽  
Equations Of Motion ◽  
Higher Order ◽  
Gravity Gradient ◽  
Attitude Dynamics ◽  
Analytical Attitude ◽  
Attitude Propagation ◽  
Insight Into

A higher-order perturbation theory for the rotation of a uniaxial satellite under gravity-gradient torque demonstrates that known special configurations of the attitude dynamics at which the satellite rotates, on average, as in a torque-free state, are only the result of an early truncation of the secular frequencies of motion. In addition to providing a deeper insight into the dynamics, the higher order of the analytical solution makes it competitive when compared with the long-term numerical integration of the equations of motion.

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