| Full text | |
| Author(s): |
Vieira, Ronaldo S. S.
;
Ramos-Caro, Javier
Total Authors: 2
|
| Document type: | Journal article |
| Source: | CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY; v. 126, n. 4, p. 483-500, NOV 2016. |
| Web of Science Citations: | 3 |
| Abstract | |
We consider the three-dimensional bounded motion of a test particle around razor-thin disk configurations, by focusing on the adiabatic invariance of the vertical action associated with disk-crossing orbits. We find that it leads to an approximate third integral of motion predicting envelopes of the form , where R is the radial galactocentric coordinate, Z is the z-amplitude (vertical amplitude) of the orbit and represents the surface mass density of the thin disk. This third integral, which was previously formulated for the case of flattened 3D configurations, is tested for a variety of trajectories in different thin-disk models. (AU) | |
| FAPESP's process: | 10/00487-9 - Dynamical study of Newtonian and Post-Newtonian self-gravitating systems with dark matter |
| Grantee: | Ronaldo Savioli Sumé Vieira |
| Support type: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 15/10577-9 - Chaos and integrability in galactic disks |
| Grantee: | Ronaldo Savioli Sumé Vieira |
| Support type: | Scholarships in Brazil - Post-Doctorate |
| FAPESP's process: | 13/09357-9 - Physics and geometry of spacetime |
| Grantee: | Alberto Vazquez Saa |
| Support type: | Research Projects - Thematic Grants |