Higher-Order Analytical Attitude Propagation of an Oblate Rigid Body under Gravity-Gradient Torque
نویسندگان
چکیده
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 solutionmakes it competitive when comparedwith the long-term numerical integration of the equations of motion.
منابع مشابه
Magnetic Torquer Attitude Control via Asymptotic Periodic Linear Quadratic Regulation
A method of using magnetic torque rods to do 3axis spacecraft attitude control has been developed. The goal of this system is to achieve a nadir pointing accuracy on the order of 0.1 to 1.0 deg without the need for thrusters or wheels. The open-loop system is under-actuated because magnetic torque rods cannot torque about the local magnetic field direction. This direction moves in space as the ...
متن کاملChaotic pitch Motion of a Magnetic Spacecraft with viscous Drag in an elliptical Polar Orbit
We study the pitch attitude dynamics of an asymmetric magnetic spacecraft in an almost circular orbit under the influence of a gravity gradient torque. The spacecraft is also subject to the influence of three perturbations: the small eccentricity of the elliptical orbit, a small magnetic torque due to the interaction with the Earth’s magnetic field, and a small aerodynamic viscous drag generate...
متن کاملSimulation of Gravity Wave Propagation in Free Surface Flows by an Incompressible SPH Algorithm
This paper presents an incompressible smoothed particle hydrodynamics (SPH) model to simulate wave propagation in a free surface flow. The Navier-Stokes equations are solved in a Lagrangian framework using a three-step fractional method. In the first step, a temporary velocity field is provided according to the relevant body forces. This velocity field is renewed in the second step to include t...
متن کاملActive Magnetic Control System for Gravity Gradient Stabilized Spacecraft
Active magnetic control is studied as a means to improve the capabilities and perfonnance of gravity gradient stabilized spacecraft. Active magnetic control eliminates the need for a passive damper and can reduce significantly the costs and complexity of other functional parts of the spacecraft. The system under study includes three magnetic torquers, one three-axis magnetometer, and a control ...
متن کاملDirector alignment relative to the temperature gradient in nematic liquid crystals studied by molecular dynamics simulation.
The director alignment relative to the temperature gradient in nematic liquid crystal model systems consisting of soft oblate or prolate ellipsoids of revolution has been studied by molecular dynamics simulation. The temperature gradient is maintained by thermostating different parts of the system at different temperatures by using a Gaussian thermostat. It is found that the director of the pro...
متن کامل