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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Integrability of motion around galactic razor-thin disks

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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