Between 1941 and 1962, scalar-tensor theories of gravitation were suggested four times by different scientists in four different countries. The earliest originator, the Swiss mathematician W. Scherrer, was virtually unknown until now whereas the chronologically latest pair gave their names to a multitude of publications on Brans–Dicke theory. P. Jordan, one of the pioneers of quantum mechanics ...

In this letter we report the possible existence of a second planet in the transiting extrasolar planet system HD 17156 and its interactive dynamics with the previously known planet. The analysis is achieved through the pofp optimization software which is based on a full integration of the system’s multiple-body Newtonian equations of motion. The two-planet solution yields a significantly improv...

In this letter we report the possible existence of a second planet in the transiting extrasolar planet system HD17156 and its interactive dynamics with the previously known planet. The analysis is achieved through the POFP optimization software which is based on a full integration of the system’s multiple-body Newtonian equations of motion. The two-planet solution yields a significantly improve...

High-precision radial-velocity techniques, which enabled the detection of extrasolar planets are now sensitive to relativistic effects in the data of spectroscopic binary stars (SBs). We show how these effects can be used to derive the absolute masses of the components of eclipsing single-lined SBs and double-lined SBs from Doppler measurements alone. High-precision stellar spectroscopy can thu...

Transition states in phase space are identified and shown to regulate the rate of escape of asteroids temporarily captured in circumplanetary orbits. The transition states, similar to those occurring in chemical reaction dynamics, are then used to develop a statistical semianalytical theory for the rate of escape of asteroids temporarily captured by Mars. Theory and numerical simulations are fo...

By analogy with Maxwellian electromagnetic field, the modified gravity for the rotating planet is presented. The theory reasons out the inclined orbit of rotating planet in the solar system, and explains the existence of orbit inclination angle of the planet. When the rotating planet revolves round the sun on the solar equatorial plane, the study yields results consistent with Newtonian gravity...

Abstract In this paper, the author deals with a well-known problem of Celestial Mechanics, namely three-body problem. A numerical analysis has been done in order to prove existence chaotic motions full-averaged particular configurations. Full because all three bodies have non-negligible masses and averaged Hamiltonian describing system respect fast angle. reduction degrees freedom phase-space i...

It is attempted to derive the general relativistic equation of motion for a planet and its solution solely by special relativity techniques. The relative Sun that are solved independently in framework using perturbation theory celestial mechanics. reveals nature structure spacetime under gravitation Sun, then effect on planet's examined. When thus examined compared with one obtained post-Newton...

Abstract Perturbative methods have been developed and widely used in the XVIII XIX century to study behavior of N -body problems Celestial Mechanics. Such apply nearly-integrable Hamiltonian systems they remarkable property be constructive. A well-known application perturbative techniques is represented by construction so-called proper elements , which are quasi-invariants dynamics, obtained re...