1.
Artemova E. M., Vetchanin E. V.
The motion of an unbalanced circular foil in the field of a point source
arXiv:2109.13041, 2021, 21 pp.
Abstract
pdf (784.71 Kb)
This paper addresses the problem of the motion of an unbalanced circular foil in the
field of a point source. Equations of joint motion of the source and the foil are constructed. It is
shown that in the case of a fixed source of constant intensity the equations of motion of the foil are
Hamiltonian. In addition, in the case of a balanced circular foil the equations of motion are integrable.
A bifurcation analysis of the integrable case is carried out. Using a scattering map, it is shown that
the equations of motion of the unbalanced foil are nonintegrable.
| Citation: |
Artemova E. M., Vetchanin E. V., The motion of an unbalanced circular foil in the field of a point source, arXiv:2109.13041, 2021, 21 pp. |
| arXiv: |
2109.13041 |
| Full text: |
pdf
(784.71 Kb)
|
