Su una soluzione particolare del problema del moto di un corpo rigido asimmetrico in un campo di forze newtoniane

Agostinelli, Cataldo

Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 62 (1977) no. 1, pp. 36-44.

Résumé

In this paper the Author considers the motion of an asymmetric rigid body about a fixed point in a newtonian field of forces, in the only hypothesis that the centre of mass belongs to a principal axis of inertia relative to the fixed point. He gives new particular solutions of the equations of the motion in which the squares of the equatorial components p, q of the angular velocity are functions of second degree in the component r about the baricentral axis. The discovered solution depends on three arbitrary constants and this defines a system of $\infty^{3}$ possible motions.