33 citations · 150 across the 19 of their papers we have counts for
6 papers · 1 filter
Envelopes for orbits around axially symmetric sources with spheroidal shape
Javier Ramos-Caro, Ronaldo S. S. Vieira
We introduce a method to obtain the envelopes of eccentric orbits in axially symmetric potentials, , endowed with -symmetry of reflection. By making the transformation $…
Envelopes and vertical amplitudes of disk-crossing orbits
Ronaldo S. S. Vieira, Javier Ramos-Caro
We recently found that regular orbits in axially symmetric galactic disks have their envelopes accurately described by the relation , if their am…
Integrability of motion around galactic razor-thin disks
Ronaldo S. S. Vieira, Javier Ramos-Caro
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…
On the stability of circular orbits in galactic dynamics: Newtonian thin disks
Ronaldo S. S. Vieira, Javier Ramos-Caro
The study of off-equatorial orbits in razor-thin disks is still in its beginnings. Contrary to what was presented in the literature in recent publications, the vertical stability c…
A simple formula for the third integral of motion of disk-crossing stars in the Galaxy
Ronaldo S. S. Vieira, Javier Ramos-Caro
We present an analytical simple formula for an approximated third integral of motion associated with nearly equatorial orbits in the Galaxy: , where is t…
Finite thin disc models of four galaxies in the Ursa Major cluster: NGC3877, NGC3917, NGC3949 and NGC4010
Guillermo A. González, Sandra M. Plata-Plata, Javier Ramos-Caro
Finite thin disc models of four galaxies in the Ursa Major cluster are presented. The models are obtained by means of the Hunter method and the particular solutions are choosen in…