185 citations · 585 across the 22 of their papers we have counts for
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Gauss's method for secular dynamics, softened
J. R. Touma, S. Tremaine, M. V. Kazandjian
We show that the algorithm proposed by Gauss to compute the secular evolution of gravitationally interacting Keplerian rings extends naturally to softened gravitational interaction…
Satellite dynamics on the Laplace surface
Scott Tremaine, Jihad Touma, Fathi Namouni
The orbital dynamics of most planetary satellites is governed by the quadrupole moment from the equatorial bulge of the host planet and the tidal field from the Sun. On the Laplace…
Caustics in Dark Matter Haloes
Roya Mohayaee, Stephane Colombi, Bernard Fort +3
Caustics are formally singular structures, with infinite density, that form in collisionless media. The non-negligible velocity dispersion of dark matter particles renders their de…
Stellar Dynamics around Black Holes in Galactic Nuclei
S. Sridhar, J. Touma
We classify orbits of stars that are bound to central black holes in galactic nuclei. The stars move under the combined gravitational influences of the black hole and the central s…
Cusps without chaos
S. Sridhar, J. Touma
We present cuspy, non-axisymmetric, scale-free mass models of discs, whose gravitational potentials are of Stäckel form in parabolic coordinates. A black hole may be added at the c…