Category Archives: Celestial Mechanics

An Inhomogeneous Gravitational Field and the Body Without Center of Gravity

Corrected version Published: October 30, 2014 by Milutin Marjanov Revised version: May 12, 2015 Concept of homogeneity (or inhomogeneity) of the gravitational field is rather a specific one. Namely, according to the Newton`s law of gravitation, either intensity or direction, … Continue reading

Posted in Celestial Mechanics | Tagged , , , , | Comments Off on An Inhomogeneous Gravitational Field and the Body Without Center of Gravity

On The Cause Of Resonant Motions Of Celestial Bodies

Resonant motions are possible only in an inhomogeneous gravitational field. That’s the reason why in the beginning of the work we elucidate the principal differences between a homogeneous and an inhomogeneous field. We show that the resonant motions in closed … Continue reading

Posted in Celestial Mechanics | Leave a comment

One Solution Of The Newton’s Three Body Problem

Stable motions of one large and two small bodies under mutual gravitational interactions in closed, stable orbits are numerically investigated in this work. As known, this is one of the oldest problems of the classical mechanics posed by Newton himself … Continue reading

Posted in Celestial Mechanics | Comments Off on One Solution Of The Newton’s Three Body Problem

Three-Body System: Stable and Chaotic Orbits

Three bodies moving in the closed orbits, exposed to the mutual gravitational interactions only, enter gradually, as a rule, into the gravitational resonances: periods of their rotations become related as the rational fractions. In long term, this phenomenon may lead … Continue reading

Posted in Celestial Mechanics | Comments Off on Three-Body System: Stable and Chaotic Orbits

Moon and Tides – Indicators of the Real Earth’s Spin Velocity

What is period of the Earth’s rotation around its axis? As a rule, answer to this question is that that one turn around the axis of the Earth requires, approximately, 24 hours and that this period is cold the mean … Continue reading

Posted in Celestial Mechanics | Comments Off on Moon and Tides – Indicators of the Real Earth’s Spin Velocity

Loops in the Sun’s Orbit

Besides translation, spin around its axis and rotation around center of the Milky Way, the Sun performs relative motion in the solar system Laplacian plane, also. This motion was anticipated by Newton himself, in his Principia. The form of the … Continue reading

Posted in Celestial Mechanics | Comments Off on Loops in the Sun’s Orbit

Unstable orbits: orthogonality condition

1. Introduction If three bodies move in closed orbits, exposed only to the mutual gravitational interactions, they, as a rule, gradually enter into a gravitational resonance: periods of their rotations become related as the rational fractions [12]. This proportionality is … Continue reading

Posted in Celestial Mechanics | Comments Off on Unstable orbits: orthogonality condition