Notes on the Motion of Celestial Bodies

Abstract

A novel method for the computation of the motion of multi-body systems is proposed against the traditional one, based on the dynamic exchange of attraction forces or using complex field equations, that hardly face two-body problems. The Newton gravitational model is interpreted as the emission of neutrino/gravitons from celestial bodies that combine to yield a cumulative flux that interacts with single bodies through a momentum balance. The neutrino was first found by Fermi to justify the energy conservation in β decay and, using his model; we found that the emission of neutrino from matter is almost constant independently from the nuclides involved. This flux can be correlated to Gauss constant G, allowing the rebuilding of Newton law on the basis of nuclear data, the neutrino weight and the speed of light. Similarly to nature, we can therefore separate in the calculations the neutrino flux, that represents the gravitational field, is dependent on masses and is not bound to the number of bodies involved, from the motion of each body that, given the field, is independent of the mass of bodies themselves. The conflict between exchanges of forces is avoided, the mathematics is simplified, the computational time is reduced to seconds and the stability of result is guaranteed. The example of computation of the solar system including the Sun and eight planets over a period of one to one hundred years is reported, together with the evolution of the shape of the orbits.

The Mysterius Fate of Stars (<i>Past</i>,<i> Present and Future of the Universe</i>)

“…When Newton tried to join his attraction gravitational force to his equations of motion, incurred in the famous three body problem that, in spite the best mathematicians of the time, remains on the table even today [11].…”

“…Nature takes it easier, with a number of bodies emitting neutrino and combining the neutrino fluxes in the space to yield the true physical gravitational field that acts on the individual bodies to cause motion [11]. This is the work that the Sun makes to hold the planets in their orbits and, doing this, he loses some of his mass: most of the neutrino flux is lost in the space.…”

The Nuclear Clock Correction for Universal Gravitation

“…The Gauss constant G and Fo are directly related: (4) This strictly relates gravitation to intrinsic properties of matter and is not surprising because gravity is a property of matter and more specifically of nuclei.…”

“…This is surprising, because we are recovering the physical meaning of gravity, that Newton was looking for, and we can apply this concept to every phenomenon on the Earth and in the sky: the annual delay of the Earth in its trip around the Sun can be explained [1], light regains in Gravity its new ether [2] and the threebody problem can be solved in the calculation of the motion of celestial bodies [4].…”

“…Newton was the inventor of differential calculus, but when he tried to use his equation of motion with his gravitation equation, he failed and left the famous three-body problem unresolved till nowadays [4].…”