A covering second-order Lagrangian for the
relativistic top without forces.
(English) Zbl 1092.70017Nikitin, A.G. (ed.) et al., Proceedings of the
fourth international conference on symmetry in nonlinear
mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 2.
Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv:
Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9).
Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(2),
741-745 (2002).
The author derives a fourth-order differential equation
allowing for the complete elimination of spin variables from
Dixon’s equations of motion of a relativistic top. A
parameter-homogeneous covariant Lagrangian of second order is
considered which covers the case of free relativistic top at
constraint manifold of constant acceleration.
For the entire collection see [Zbl 0989.00035].
Reviewer: N. M. Ivanova (Kyïv)
MSC:
| 70H40 |
Relativistic dynamics |
| 70H03 |
Lagrange’s equations |
| 70E17 |
Motion of a rigid body with a fixed point |