67 citations · 1k across the 68 of their papers we have counts for
68 papers
An alternative interpretation of the Grioli gyroscope suspension points
Alexei A. Deriglazov
We present a detailed analysis of all possible regular precessions of a heavy asymmetric body with a fixed point not coinciding with the center of mass. The calculations are done i…
Dynamics on a submanifold: intermediate formalism versus Hamiltonian reduction of Dirac bracket, and integrability
Alexei A. Deriglazov
We consider Hamiltonian formulation of a dynamical system forced to move on a submanifold . If for some reasons we are interested in knowing the dynamics of all origina…
Euler-Poisson equations of a dancing spinning top, integrability and examples of analytical solutions
Alexei A. Deriglazov
Equations of a rotating body with one point constrained to move freely on a plane (dancing top) are deduced from the Lagrangian variational problem. They formally look like the Eul…
Lagrange top: integrability according to Liouville and examples of analytic solutions
Alexei A. Deriglazov
Equations of a heavy rotating body with one fixed point can be deduced starting from a variational problem with holonomic constraints. When applying this formalism to the particula…
Has the problem of the motion of a heavy symmetric top been solved in quadratures?
Alexei A. Deriglazov
We have revised the problem of the motion of a heavy symmetric top. When formulating equations of the Lagrange top with the diagonal inertia tensor, the potential energy has more c…
Comment on the Letter "Geometric Origin of the Tennis Racket Effect'' by P. Mardesic, et al, Phys. Rev. Lett. 125, 064301 (2020)
Alexei A. Deriglazov
In the recent work [1], authors discussed the relationship between the two of Euler angles assuming that it can be used to describe some effects in the theory of a rigid body. I sh…