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- Theory of Vectorial Relativity (6)
- Kepler Laws (2)
- Mass (2)
- Vectorial Relativity (2)
- Angular Momentum (1)
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- Energy (1)
- Fields (1)
- GTR (1)
- Gravitation. Calculation of the Planet Orbits (1)
- Gravitational Waves (1)
- Length (1)
- Lorentz Transformations; Vectorial Lorentz Transformations; Relativistic Time (1)
- Maxwell Equations (1)
- Mercury’s Precession (1)
- N-body problem (1)
- N-body problem. Classical solution (1)
- N-body problem. Relativistic solution (1)
- Of the Precession of Mercury Perihelion (1)
- Orbital Precession (1)
- Photon (1)
- Quantum Mechanics (1)
- Relativistic Aberration (1)
- Relativistic Doppler Effect (1)
- Relativistic Gravitation Field (1)
- Relativistic N-body problem (1)
- Relativistic Radial Potential Energy. Relativistic Potential Energy in Circular Motion. Relativistic Free Fall. Relativistic Potential Energy in general motion. Relation between velocity and radius in free fall. Influence of altitude on time (1)
- Relativistic three-body problem (1)
- Relativistic two-body problem (1)
- STR (1)
- Three-body problem (1)
Articles 1 - 8 of 8
Full-Text Articles in Physics
Relativistic Solution Of The N-Body Problem (Ii), Jorge A. Franco
Relativistic Solution Of The N-Body Problem (Ii), Jorge A. Franco
Jorge A Franco
This work is the continuation of the classical approach described in previous paper for constant masses. In here the solution of the movement of a group of N gravitationally attracting bodies around its center of mass CM, given their initial positions and velocities, is developed for variable masses under the Theory of Vectorial Relativity. The strategy of realizing special physical characteristics of forces on the the CM and properties of the reduced mass in the solution of the two-body problem, allowed extending the Newton’s Universal Gravitation Law for applying to two or more attracting bodies, and also allowed operating on …
N-Body Problem’S Global Solution I. Classical Approach, Jorge A. Franco
N-Body Problem’S Global Solution I. Classical Approach, Jorge A. Franco
Jorge A Franco
The prediction of the movement of a group of N gravitationally attracting bodies around its center of mass CM, given their initial positions and velocities, is what has been called the N-body problem, since Isaac Newton formulated it in his magnum work Phylosophiae Naturalis Principia Mathematica, commonly known as his "Principia" published in 1667. So far it has only been fully resolved (Johan Bernoulli in 1710) the problem of two bodies from the classical view, using Newton's laws. For N>2 in some cases only approximate, or not general, solutions exist. In this work the strategy of realizing physical properties …
Relativistic Gravitational Potential Energy And General Free Fall: A Fundamental Topic In Physics, Jorge A. Franco
Relativistic Gravitational Potential Energy And General Free Fall: A Fundamental Topic In Physics, Jorge A. Franco
Jorge A Franco
In this paper, we derived expressions of the relativistic potential energy for radial, circular and general curvilinear motion of a mass under the influence of a gravitational field, and the equivalence relationship between velocity and radius in each case. Also it was obtained the influence of altitude on time, mass, length and other physical magnitudes for circular and general curvilinear motion, and for the static case or radial.
Relativistic Analysis Of Doppler Effect And Aberration Based On Vectorial Lorentz Transformations, Jorge A. Franco
Relativistic Analysis Of Doppler Effect And Aberration Based On Vectorial Lorentz Transformations, Jorge A. Franco
Jorge A Franco
In this paper, we derived more general and correct expressions for the Relativistic Doppler and Aberration effect.
Time Is Not A Vector: Corrections To The Article “Vectorial Relativity Versus Special Or General Relativity?”, Jorge A. Franco
Time Is Not A Vector: Corrections To The Article “Vectorial Relativity Versus Special Or General Relativity?”, Jorge A. Franco
Jorge A Franco
In this work the main conceptual errors that sequentially were introduced in the development of the Special Theory of Relativity (SR) are explained. A simple presentation of the Lorentz Transformations (LT) is given, within where it is emphasized that, by using an incomplete configuration, repeated by more than one hundred years, it leads to a first error of a chain of them, when it is assumed that the cross sectional components, in the movable inertial reference system, are invariant or not affected by its relative movement respect a fixed inertial system, on the basis of a presumed “postulate of isotropy“ …
Do Gravitational Waves Exist?, Jorge A. Franco
First Solutions To Gravitation And Orbital Precession Under Vectorial Relativity, Jorge A. Franco
First Solutions To Gravitation And Orbital Precession Under Vectorial Relativity, Jorge A. Franco
Jorge A Franco
One of the reasons of the success of Einstein’s General Theory of Relativity (GTR) was that it allowed to calculate planet’s precession (rotation of the elliptical path axis with time, i.e.: Mercury Precession). The fact that its occurrence has been experimentally observed is not accounted by classic Kepler’s or Newton Laws because it is only applicable to constant masses. This work shows that planet’s precession is a direct consequence of considering variable planet’s mass inside accepted physical laws in our known three-dimensional space. According to us, this work positively confirms new definitions of mass and Energy obtained under Vectorial Relativity.
Gravitation In Vectorial Relativity, Jorge A. Franco
Gravitation In Vectorial Relativity, Jorge A. Franco
Jorge A Franco
It is known that Kepler’s Laws can be derived from the Newton’s Law of Universal Gravitation. For doing this, mass is considered as an invariable parameter. Although this consideration works wonderfully to solve most of problems in astronomy calculations, as in all physics, when body’s speeds are so high and very precise measurements are required, the referred Kepler Laws do not cope enough what is expected. That’s why the General Theory of Relativity materialized. As it was indirectly pointed out by Einstein in 1905, Newton and Kepler Laws do not consider the relativistic variation of mass with its velocity. In …