2017
DOI: 10.5815/ijmecs.2017.01.02
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Advances in Mechanics and Outlook for Future Mankind Progress

Abstract: Abstract-Three problems for the interaction between N bodies to which exact solutions were obtained are discussed. In the first problem, the bodies are located axisymmetrically in a plane. Possible trajectories of the bodies here are ellipses, parabolas, hyperbolas, or straight lines. Results of solving this problem are further used for solving problems about Earth's rotation and Mercury's perihelion. In the second problem, the body system consists of several layers, and it rotates as an entity. In the third p… Show more

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Cited by 3 publications
(5 citation statements)
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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%
“…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%
“…54) As a result of my work on the problem noted in Section 4 [17], I have created a regular spherically distributed structure of N bodies, which for N = 100 bodies is shown to remain stable after 100 revolutions.…”
Section: )mentioning
confidence: 99%
“…On the contrary, my paper is written for creative scientists. Such scientists never evaluate scientific papers by looking for points in them to be blackened; instead, they try to see in papers new solutions deserving implementation ( [17], p. 23).…”
Section: )mentioning
confidence: 99%
See 1 more Smart Citation
“…This is the result of an exact solution to the problem of the interaction of bodies uniformly located on a sphere. It provides unlimited opportunities for the development of Mankind [3].…”
Section: The Book Covermentioning
confidence: 99%