Singularities On Ordinary Differential Equations
Mostrando 1-2 de 2 artigos, teses e dissertações.
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1. RegularizaÃÃo de singularidades em mecÃnica celeste
Estudamos nesta dissertaÃÃo algumas tÃcnicas para regularizaÃÃo de singularidades presentes em problemas especÃficos de MecÃnica Celeste. Regularizamos as equaÃÃes do movimento associadas aos problemas: dos dois corpos, restrito e planar dos trÃs corpos. Tais mÃtodos sÃo essencialmente devidos a Birkhoff, LemaÃtre, Thiele, Burrau, J. Moser, JÃr
Publicado em: 2008
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2. On the numerical integration of rigid body nonlinear dynamics in presence of parameters singularities
One of the main complexities in the simulation of the nonlinear dynamics of rigid bodies consists in describing properly the finite rotations that they may undergo. It is well known that, to avoid singularities in the representation of the SO(3) rotation group, at least four parameters must be used. However, it is computationally expensive to use a four-para
Journal of the Brazilian Society of Mechanical Sciences. Publicado em: 2001