Hamiltonian Dynamics of Spider-Type Multirotor Rigid Bodies Systems

Journal Article · Mon Mar 01 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3366512· OSTI ID:21371092

Doroshin, Anton V ^[1]

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1. Theoretical Mechanics Department, Samara State Aerospace University, SSAU, 34, Moskovskoe Shosse str., Samara, 443086 (Russian Federation)

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.

• OSTI ID: 21371092
• Journal Information: AIP Conference Proceedings, Vol. 1220, Issue 1; Conference: World congress on engineering, London (United Kingdom), 1-3 Jul 2009; Other Information: DOI: 10.1063/1.3366512; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
ANGULAR MOMENTUM
ATTITUDES
CONTROL
ENGINEERING
EXACT SOLUTIONS
HAMILTONIANS
MATHEMATICAL MODELS
MATRICES
ORBITS
ORIENTATION
PHASE SPACE
ROTORS
SPACE VEHICLES
SPIDERS
ANIMALS
ARACHNIDS
ARTHROPODS
INVERTEBRATES
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
MATHEMATICS
QUANTUM OPERATORS
SPACE
VEHICLES