Periodic Orbits of N Bodies on a Sphere

Smulsky, Joseph J.

doi:10.1134/s001095251906008x

Cited by 2 publications

(1 citation statement)

References 5 publications

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“…It is necessary to consider models of galaxies based on such matter. A number of complex mathematical problems have been solved [6][7][8][9]. Methods for solving problems of interaction of many bodies have been created [10,11].…”

Section: Models Of Galaxiesmentioning

confidence: 99%

Dark Matter and Gravitational Waves

Smulsky¹

2021

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Two reviews of papers are considered. The first paper for a galaxy model uses matter consisting of neutrinos, bosons and other similar particles. It is shown that these particles were introduced as a result of an incorrect description of interactions in the Theory of Relativity. In reality, with the relative motion of interacting particles, their interactions force changes, and not their mass. It is shown that models of such stellar associations as globular clusters and galaxies should be created on the basis of the substance that exists on Earth. The second peer-reviewed paper proposes to create LIGO on the Moon. It is shown that gravitational waves do not exist. They were introduced to explain the excessive rotation of the Mercury's perihelion. However, the excessive rotation of the Mercury's perihelion is due to the Sun oblateness. The paper shows that gravitational waves, the Big Bang, the expanding Universe, dark matter, dark energy, etc. appeared on the basis of unfounded hypotheses. The urgent task is to eliminate them from science.

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Section: Models Of Galaxiesmentioning

confidence: 99%

Dark Matter and Gravitational Waves

Smulsky¹

2021

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Development of Multilayer Models of Globular Star Clusters and Study of Their Evolution

Smulsky

2024

JMP

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Usually, models of globular star clusters are created by analyzing their luminosity and other observation parameters. The goal of this work is to create stable models of globular clusters based on the laws of mechanics. It is necessary to set the coordinates, velocities and masses of the stars so that as a result of their gravitational interaction the globular cluster is not destroyed. This is not an easy task, and it has been solved in this paper. Using an exact solution of the axisymmetric gravitational interaction of N-bodies, single-layer spherical structures were created. They are combined into multilayer models of globular clusters. An algorithm and a program for their creation is described.As a result of solving the problem of gravitational interaction of N bodies, evolution of 5-, 10-, and 15-layer structures was studied. During the inter-body interaction, there proceeds a transition from the initial specially organized structure to a structure with bodies, uniformly distributed in space. The number of inter-body collisions decreases, and the globular cluster model passes into the stable form of its existence. The collisions of bodies and the acquisition of rotational motion and thermal energy by them are considered. As a result of the passage to scaled dimensions, the results were recalculated to the conditions of globular star clusters. The periods of rotation and the temperatures of merged stars are calculated. Attention is paid to a decreased central-body mass in the analyzed models of globular star clusters.

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Periodic Orbits of N Bodies on a Sphere

Cited by 2 publications

References 5 publications

Dark Matter and Gravitational Waves

Dark Matter and Gravitational Waves

Development of Multilayer Models of Globular Star Clusters and Study of Their Evolution

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