Theoretical studies predict that Trojans are likely a frequent byproduct of planet formation and evolution. We examine the sensitivity of transit timing observations for detecting Trojan companions to transiting extrasolar planets. We demonstrate that this method offers the potential to detect terrestrial-mass Trojans using existing ground-based observatories. We compare the transit timing vari...

The authors consider the history of Computer Algebra (CA) development and applications at the famous Keldysh Institute of Applied Mathematics (Russia Academy of Science). At the Institute CA was used in various areas: Applied Celestial Mechanics, Mathematics, Robotics, Hydromechanics, and Methods of Calculation. Authors compared and classified the existing systems and their possibilities. An at...

We construct exact solutions to Einstein equations which represent relativistic disks imbedded in an expanding FRW Universe. It is shown that the expansion influences the kinematical characteristics of the disks such as rotational curves, surface mass density, etc. The effects of the expansion are exemplified with non-static generalizations of Kuzmin-Curzon and Schwarzschild disks. Subject head...

Utilizing a recently derived extension of the Maxwell-Boltzmann distribution to low occupation numbers (Simons 1994) this investigation discusses the structure of stellar dynamical isothermal spheres. The resulting models, which resemble King models, constitute a new sequence of physically well-motivated spherical equilibrium configurations of finite mass, and give nice fits to pre-core collaps...

Reading the Principia [1] it is easy to realize that Newton, without being aware of the fact, has corrected the law of the fall of bodies formulated by Galilei. In the present paper we examine the consequences of such a fact and show that they affect the entire Celestial Mechanics, being related to the very small 43” per century of the perihelion shift of Mercury as well as to the substantial 5...

In this paper we describe new classes of periodic solutions for point vortices on a plane and a sphere. They correspond to similar solutions (so-called choreographies) in celestial mechanics. 1 Equations of motion and first integrals for vortices on a plane For n point vortices with Cartesian coordinates (xi, yi) and intensities Γi, the Hamiltonian equations of the motion are Γiẋi = ∂H ∂yi , Γi...