Gravity in View of the Theory of Orbiting Binary Stars

Stefan L Hahn

doi:10.4236/jmp.2018.910124

Abstract

In this paper, we investigate orbiting of two stars having equal masses. We consider two models: with a circular orbit and with two elliptical orbits having a common center of a mass located in a common focal point. In the case of the circular orbit, we applied the notion of the instantaneous complex frequency. The paper is illustrated with numerous formulas, derivations and discussion of results.

Highlights

Three years ago, the author presented a paper describing the gravitational forces as a result of anisotropic energy exchange between baryonic matter and quantum vacuum [1]
We present two such models: the first one with a circular orbit and the second one with two elliptical orbits with a common center of a mass located in a common focal point
The other part of the gravitational force responsible for tangential acceleration or deceleration is the result of the tangential anisotropy of radiation

Summary

Introduction

The author presented a paper describing the gravitational forces as a result of anisotropic energy exchange between baryonic matter and quantum vacuum [1]. Our goal can be achieved by investigating orbiting of two stars having equal masses. We present two such models: the first one with a circular orbit and the second one with two elliptical orbits with a common center of a mass located in a common focal point. As regards the circular orbit, we applied the notion of the instantaneous complex frequency. O (ρ, φ)—polar coordinates of the ellipse centered at the focus; o ρc—curvature radius; o P—power; o E—energy; o F—force; o T = orbital period

A Model of a Double Star of Equal Mass Orbiting on a Circular Orbit

Instantaneous Complex Frequency Description of the Circular Binary System