Gyrostat dynamics on a circular orbit

Santos, Luís Filipe Ferreira Marques

Publication

Gyrostat dynamics on a circular orbit

2015Doctoral thesis

datacite.subject.fos	Ciências Naturais::Ciências Físicas	pt_PT
dc.contributor.advisor	Silva, André Resende Rodrigues da
dc.contributor.advisor	Sarychev, Vasili A.
dc.contributor.author	Santos, Luís Filipe Ferreira Marques
dc.date.accessioned	2016-02-24T15:58:03Z
dc.date.available	2016-02-24T15:58:03Z
dc.date.issued	2015
dc.description.abstract	The attitude control of a modern satellite is a crucial condition for its operation. In this work, is investigated the dynamics of an asymmetrical inertial distribution gyrostat satellite, subjected to gravitational torque, moving along a circular orbit in a central Newtonian gravitational field. To solve the problem it is proposed a symbolic-numerical method for determining all equilibrium orientations of an asymmetrical gyrostat satellite in the orbital coordinate system with a given gyrostatic torque and given principal central moments of inertia. The conditions of equilibria are obtained depending on four dimensionless parameters of the system. The evolution of the domains in the study of equilibria and stability is carried out in great detail. All bifurcation values of parameters at which there is a change of numbers of equilibrium orientations are determined with great accuracy. For each equilibrium orientation the sufficient conditions of stability are obtained as a result of analysis of the generalized integral of energy used as a Lyapunov’s function. It is shown that the number of equilibria of a gyrostat satellite in the general case must be between 8 and 24, and that the number of stable equilibria changes from 4 to 2.	pt_PT
dc.identifier.tid	101410760
dc.identifier.uri	http://hdl.handle.net/10400.6/4034
dc.language.iso	eng	pt_PT
dc.subject	Veículo espacial	pt_PT
dc.subject	Dinâmica girostática	pt_PT
dc.subject	Aeronáutica - Satélites	pt_PT
dc.title	Gyrostat dynamics on a circular orbit	pt_PT
dc.type	doctoral thesis
dspace.entity.type	Publication
person.familyName	Santos
person.givenName	Luis
person.identifier.ciencia-id	6717-B0D3-0F5B
person.identifier.orcid	0000-0002-7169-2660
person.identifier.rid	I-6614-2015
person.identifier.scopus-author-id	12768907700
rcaap.rights	openAccess	pt_PT
rcaap.type	doctoralThesis	pt_PT
relation.isAuthorOfPublication	58ad442e-76b5-4fe4-8cc4-0456573e5709
relation.isAuthorOfPublication.latestForDiscovery	58ad442e-76b5-4fe4-8cc4-0456573e5709
thesis.degree.name	Doutoramento em Engenharia Aeronáutica	pt_PT