IJMECS Vol. 9, No. 1, 8 Jan. 2017

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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.

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

[1] Nizovtsev, V.V. Principles of the Kinematic System of the World: Cartesian Alternative for the XXI Century Physics. Moscow, LIBROCOM Book House. 2013, 384 p. (In Russian).

[2] Smulsky, J.J. Main Path, Tyumen, 1993. (In Russian). http://samlib.ru/s/smulxskij_i_i/decdircdoc.shtml.

[3] Krendelev, F.P. Rapa-Nui (The Nub of the Universe). Novosibirsk: SB RAS Publishing House. 1996, 280 p. (In Russian).

[4] Smulsky, J.J. Non-relativistic picture of the world and brain ecology (relativity vs intelligence). in: Engineer’s Brain in Action, edited by Acad. N.A. Malyushin, Tumen, GiproTumenNefteGaz, NefteGazProekt. 1997. Pp. 163-175 (In Russian). http://samlib.ru/s/smulxskij_i_i/nerkar97.shtml.

[5] Smulsky, J.J. Impossible things can be made possible. Tumenskaya Pravda Segodnya. 1999. Iss. 38. (In Russian). http://samlib.ru/s/smulxskij_i_i/razgovor.shtml.

[6] Smulsky, J.J. Adequate understanding of the world as the basis for its optimal use. In: Collection of papers "Survival problems of post-socialistic Russia in the third millennium", Irkutsk, IrSTU, 2001, Iss. 2, Pt. 2, pp. 52 - 64 (In Russian). http://samlib.ru/s/smulxskij_i_i/pravpon1rtf.shtml.

[7] Smulsky, J.J. On the people’s faith and sacred things. Novosibirsk. 2004. (In Russian). http://samlib.ru/s/smulxskij_i_i/versvnarhtm.shtml.

[8] Smulsky, J.J. The Theory of Interaction. Novosibirsk University, Scientific Publishing Center of UGG SB of RAS, Novosibirsk, 1999, 294 p. (In Russian). http://www.ikz.ru/~smulski/TVfulA5_2.pdf.

[9] Smulsky, J.J. The Theory of Interaction. PH Cultural Information Bank, Ekaterinburg, 2004, 302 p. http://www.ikz.ru/~smulski/TVEnA5_2.pdf.

[10] Smulsky, J.J. Axisymmetrical problem of gravitational interaction of N-bodies. Mathematical modeling, 2003. Vol. 15, No 5, pp. 27-36 (In Russian). http://www.ikz.ru/~smulski/smul1/Russian1/IntSunSyst/Osvnb4.doc.

[11] Mel’nikov, V.P., Smulsky, J.J. and Smul’sky, Ya.I. Compound modeling of Earth rotation and possible implications for interaction of continents. Russian Geology and Geophysics, 2008, 49, pp. 851–858. http://www.ikz.ru/~smulski/Papers/RGG190.pdf.

[12] Smulsky, J.J. The Influence of the Planets, Sun and Moon on the Evolution of the Earth’s Axis. International Journal of Astronomy and Astrophysics, 2011, 1, pp. 117-134. http://dx.doi.org/10.4236/ijaa.2011.13017.

[13] Smulsky, J.J. Analyzing the Lessons of the Development of the Orbital Theory of the Paleoclimate. Herald of the Russian Academy of Sciences. 2013, Vol. 83, No. 1, pp. 46-54 http://www.ikz.ru/~smulski/Papers/AnAstTP2E.pdf.

[14] Smulsky, J.J. Fundamental Principles and Results of a New Astronomic Theory of Climate Change. Advances in Astrophysics, 2016, Vol. 1, No. 1, 1-21 http://www.isaacpub.org/Journal/AdAp.

[15] Smulsky J.J. New results on the Earth insolation and their correlation with the Late Pleistocene paleoclimate of West Siberia. Russian Geology and Geophysics, 2016, 57, 1099–1110. http://dx.doi.org/10.1016/j.rgg.2016.06.009.

[16] Smulsky J.J. Evolution of the Earth's axis and paleoclimate for 200 thousand years. Saarbrucken, Germany: “LAP Lambert Academic Publishing”. 2016, 228 p. ISBN 978-3-659-95633-1. www.ikz.ru/~smulski/Papers/InfEvEAPC02MEn.pdf.

[17] Smulsky, J.J. New Components of the Mercury's Perihelion Precession. Natural Science, 2011, Vol. 3, No. 4, 268-274 http://dx.doi.org/10.4236/ns.2011.34034. http://www.scirp.org/journal/ns.

[18] Smulsky, J.J. Axisymmetric Coulomb Interaction and Research of its Stability by System Galactica. Open Access Library Journal, 2014, Vol. 1, e773, p. 1 – 23 http://dx.doi.org/10.4236/oalib.1100773.

[19] Smulsky, J.J. Multilayer Coulomb Structures: Mathematical Principia of Microcosm Mechanics. Open Access Library Journal, 2015, 2: e1661, 46 p. http://dx.doi.org/10.4236/oalib.1101661.

[20] Smulsky, J.J. Exact solution to the problem of N bodies forming a multi-layer rotating structure. SpringerPlus, 2015, 4:361, pp. 1-16. DOI: 10.1186/s40064-015-1141-1. http://www.springerplus.com/content/4/1/361.

[21] Smulsky, J.J. The system of free access Galactica to compute interactions of N bodies. I. J. Modern Education and Computer Science, 2012, 11, pp. 1-20 DOI: 10.5815/ijmecs.2012.11.01.

[22] Smulsky J.J. Distributed structures on the sphere / Institute of the Earth Cryosphere SB RAS. - Tyumen. 43 p. Deposited in VINITI 22.08.2016, 2016, No. 112-V2016. http://www.ikz.ru/~smulski/Papers/SphDsSt2.pdf. (In Russian).

[23] Smulsky, J.J. and Smulsky, Ya.J. Dynamic Problems of the Planets and Asteroids, and Their Discussion. Intern. Journal of Astronomy and Astrophysics, 2012, Vol. 2, No. 3, pp. 129-155. http://dx.doi.org/10.4236/ijaa.2012.23018.

[24] Smulsky J.J. and Smulsky Ya.J. Asteroids Apophis and 1950 DA: 1000 Years Orbit Evolution and Possible Use. In: Horizons in Earth Science Research, Vol. 6, Benjamin Veress and Jozsi Szigethy (editors), Nova Science Publishers, USA, 2012, pp. 63-97. https://www.novapublishers.com/catalog/index.php.