Hamiltonian Dynamics of Spider-Type Multirotor Rigid Bodies Systems

Statistics – Computation

Scientific paper

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Spacecraft, Computability, Matrix Algebra, Angular Momentum, Motion Measurement, Spacecraft/Atmosphere Interactions, Computational Methods In Continuum Mechanics, Matrix Theory, Beam Collimators, Monochromators, General Motion

Scientific paper

This paper sets out to develop a spider-type multiple-rotor system which can be used for attitude control of spacecraft. The multirotor system contains a large number of rotor-equipped rays, so it was called a ``Spider-type System,'' also it can be called ``Rotary Hedgehog.'' These systems allow using spinups and captures of conjugate rotors to perform compound attitude motion of spacecraft. The paper describes a new method of spacecraft attitude reorientation and new mathematical model of motion in Hamilton form. Hamiltonian dynamics of the system is investigated with the help of Andoyer-Deprit canonical variables. These variables allow obtaining exact solution for hetero- and homoclinic orbits in phase space of the system motion, which are very important for qualitative analysis.

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