Advances in Mechanics and Outlook for Future Mankind Progress

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Joseph J. Smulsky 1,*

1. Institute of Earth Cryosphere SB RAS, 625000, Tumen, P.O.Box 1230, Russia

* Corresponding author.


Received: 25 Oct. 2016 / Revised: 18 Nov. 2016 / Accepted: 6 Dec. 2016 / Published: 8 Jan. 2017

Index Terms

N-bodies problem, exact solutions, Earth axis, Mercury’s perihelion, mankind progress.


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 problem, the bodies are uniformly distributed over a sphere, and they move experiencing no mutual collisions. The latter problem allows the formation of several planets, for instance, one hundred planets resembling the Earth and moving under identical conditions with respect to the Sun. The latter possibility opens a way toward unrestricted mankind progress.

Cite This Paper

Joseph J. Smulsky,"Advances in Mechanics and Outlook for Future Mankind Progress", International Journal of Modern Education and Computer Science(IJMECS), Vol.9, No.1, pp.15-25, 2017.DOI: 10.5815/ijmecs.2017.01.02


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