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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…
A Stellar Dynamical Measurement of the Black Hole Mass in the Maser Galaxy NGC 4258
Christos Siopis, Karl Gebhardt, Tod R. Lauer +13
We determine the mass of the black hole at the center of the spiral galaxy NGC 4258 by constructing axisymmetric dynamical models of the galaxy. These models are constrained by hig…
Stability of Distant Satellites of Giant Planets in the Solar System
Yue Shen, Scott Tremaine
We conduct a systematic survey of the regions in which distant satellites can orbit stably around the four giant planets in the solar system, using orbital integrations of up to $1…
Dynamics of WIMPs in the solar system and implications for direct and indirect detection
Annika H. G. Peter, Scott Tremaine
Semi-analytic treatments of the evolution of orbits of weakly interacting massive particles (WIMPs) in the solar system suggest that the WIMPs bound to the solar system may enhance…