A geometric characterisation of resonance in Hopf bifurcation from relative equilibria

Bifurcation and stability of the steady

Bifurcation and stability of the steady motions and relative equilibria of a rigid body in a central gravitational field

✍ Ye.V. Abrarova; A.V. Karapetyan 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 704 KB

The existence, bifurcation and stability of the steady motions of a rigid body in a central gravitational field are studied. The body is modelled as a collection of point masses situated at the ends of three mutually perpendicular diameters of a massless sphere. With this model, one cun use the exac