IJMECS Vol. 4, No. 11, 8 Nov. 2012

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Gravitational and Coulomb Interaction, Equations of Motion, Computer Calculations, Solar System, Free Access

The Galactica System is intended for resolving N-body interaction problems. It is based on a high-precision method for solving differential equations of motion of bodies whose interaction forces are inversely proportional to the squared distance. The differential equations of motion and their solution method are given in paper. The structure of the input file, the files of initial conditions and output files are described. The examples of these files for different solved tasks are presented. The actions of executable files are explained. The paper describes all the theoretical and practical issues so that even a novice researcher could use Galactica System in his/her works.

Joseph J. Smulsky, "The System of Free Access Galactica to Compute Interactions of N-Bodies", International Journal of Modern Education and Computer Science(IJMECS), vol.4, no.11, pp.1-20, 2012. DOI:10.5815/ijmecs.2012.11.01

[1]J. J. Smulsky, “Galactica Software for Solving Gravitational Interaction Problems,” Applied Physics Research, Vol. 4, No. 2, 2012, pp. 110-123. http://dx.doi.org/10.5539/apr.v4n2p110.

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

[3]I. I. Smul'skii, “Multilayer Ring Structures,” Physics of Particles and Nuclei Letters, Vol. 8, No. 5, 2011, pp. 436-440. DOI: 10.1134/S1547477111050189. http://www.ikz.ru/~smulski/Papers/PHPL436.pdf.

[4]J. J. Smulsky, “The Theory of Interaction,” Publishing House of Novosibirsk University, Novosibirsk, 1999. (in Russian http://www.ikz.ru/~smulski/TVfulA5_2.pdf).

[5]J. J. Smulsky, “The Theory of Interaction,” Publishing house Cultural Information Bank, Ekaterinburg, 2004. (in English http://www.ikz.ru/~smulski/TVEnA5_2.pdf)

[6]J. J. Smulsky, “Dynamics (The skeleton of lectures on the theoretical mechanics for building specialities). The second edition,” Tyumen State Architectonic-Building University, Tyumen, Russia, 2004. (in Russian http://www.ikz.ru/~smulski/Dinmk3A5.pdf).

[7]V. P. Melnikov and J. J. Smulsky, “Astronomical Theory of Ice Ages: New Approximations. Solutions and Challenges,” Academic Publishing House, Novosibirsk, 2009. http://www.ikz.ru/~smulski/Papers/AsThAnE.pdf.

[8]E. A. Grebenikov and J. J. Smulsky, “Numerical Investigation of the Mars Orbit Evolution in the Time Interval of Hundred Million,” A. A. Dorodnitsyn Computing Center of RAS, Moscow, 2007. (in Russian http://www.ikz.ru/~smulski/Papers/EvMa100m4t2.pdf).

[9]J. J. Smulsky and Ya. J. Smulsky, “Evolution of Apophis Orbit for 1000 Years and New Space Targets,” Protecting the Earth Against Collisions with Asteroids and Comet Nuclei, Proceedings of the International Conference "Asteroid-Comet Hazard-2009", "Nauka", St.-Petersburg, Russia, 2010. http://www.ikz.ru/~smulski/Papers/EvlAp3Ec.pdf.

[10]J. J. Smulsky and Ya. J. Smulsky, “Dynamic Problems of the Planets and Asteroids, and Their Discussion,” International Journal of Astronomy and Astrophysics, Vol. 2, No. 3, 2012, pp. 129-155. doi:10.4236/ijaa.2012.23018.

[11]E. M. Standish, “JPL Planetary and Lunar Ephemerides,” Interoffice Memorandum, JPL IOM 312. F – 98-048, 1998. ftp://ssd.jpl.nasa.gov/pub/eph/planets/ioms/de405.iom.pdf.

[12]V. P. Mel’nikov, I.I. Smul’skii and Ya. I. Smul’skii, “Compound modeling of Earth rotation and possible implications for interaction of continents,” Russian Geology and Geophysics, Vol. 49, No. 11, 2008, pp. 851-858. doi:10.1016/j.rgg.2008.04.003.

[13]J. J. Smulsky, “Compound model of rotation of the Sun and displacement of Mercury perihelion,” The Fundamental and Applied Problems of the Mechanics: Proceeding of the VI All-Russian scientific Conference, Tomsk State University. Tomsk, Russia, 2008, pp. 433-434 (in Russian http://www.ikz.ru/~smulski/Papers/ModSun51c.pdf).

[14]J. J. Smulsky, “Gravitation, Field and Rotation of Mercury Perihelion,” Proceedings of the Natural Philosophy Alliance. 15th Annual Conference, University of New Mexiko, Albuquuerque, USA, Vol. 5, No. 2, 2009, pp. 254-260. http://www.ikz.ru/~smulski/Papers/08Smulsky2c.pdf

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

[16]J. J. Smulsky, “Computer calculation of components of the Mercury's perihelion precession,” Computer Algebra Systems in Teaching and Research. Differential Equations, Dynamical Systems and Celestial Mechanics, Publishig House Collegium Mazovia, Siedlce, Poland, 2011, pp. 217-223. http://www.ikz.ru/~smulski/Papers/ComCMePr2c.pdf.

[17]J. J. Smulsky, “Numerical modeling of evolution of the satellite of a rotating body,” The Theoretical and Applied tasks of the Nonlinear Analysis. Russian Academy of Sciences: A.A. Dorodnicyn Computing Center. Moscow, 2008, pp. 100-117. (In Russian http://www.ikz.ru/~smulski/Papers/ModSun07c.pdf).

[18]J. J. Smulsky and Ya. J.Smulsky, “Apophis Movement during 1000 Years and its Possible Change,” Modern Ballistics and Adjacent Questions of the Mechanics: The Collection of Scientific Conference Papers, Tomsk State University, Tomsk, Russia, 2010, pp. 315-316. ( In Russian http://www.ikz.ru/~smulski/Papers/DvizhAp3.pdf).

[19]J. J. Smulsky and Ya. J. Smulsky, “The Transformation of Asteroids in the Satellites - Real Direction in Counteracting Asteroid Hazard of the Earth,” Proceeding of the Congress-2010 Fundamental Problems of Natural Sciences and Engineering. Part II (M - U). A Series "Problems of the Universe Researching". Issue 34-2. St.-Petersburg, 2010, pp. 263-272. (In Russian http://www.ikz.ru/~smulski/Papers/PrAsSp04c.pdf).

[20]J. J. Smulsky, “Movement of asteroid 1950 DA during 1000 years and possible transformation of asteroid into the satellite,” The Fundamental and Applied Problems of the Mechanics: Proceeding of the scientific Conference, University Publishing House, Tomsk, Russia, 2011, pp. 400-401. (In Russian http://www.ikz.ru/~smulski/Papers/Dv1950DA.pdf.

[21]J. J. Smulsky and O. I. Krotov, “Computing of the Apophis's movement during 100 years on two approaches: Galactica and Horisons,” The Fundamental and Applied Problems of the Mechanics: Proceeding of the scientific Conference, University Publishing House, Tomsk, Russia, 2011, pp. 402-403. (In Russian http://www.ikz.ru/~smulski/Papers/ClApGlH20.pdf).

[22]California Institute of Technology, “JPL Small-Body Database 2008. Jet Propulsion Laboratory. 99942 Apophis (2004 MN4),” 2008. http://ssd.jpl.nasa.gov/sbdb.cgi?sstr=Apophis;orb=1.

[23]E. Bowell, “The Asteroid Orbital Elements Database,” 2008. ftp://ftp.lowell.edu/pub/elgb.

[24]J. J. Smulsky, “Designing of ring structures,” The Fundamental and Applied Problems of the Mechanics: Proceeding of the VI All-Russian scientific Conference, University Publishing House, Tomsk, Russia, 2008, pp. 431-432. (In Russian http://www.ikz.ru/~smulski/Papers/CnsKoStr2.pdf).

[25]J. J. Smulsky, “Optimization of Passive Orbit with the Use of Gravity Maneuver,” Cosmic Research, Vol. 46, No. 5, 2008, pp. 456–464. http://www.ikz.ru/~smulski/Papers/COSR456.PDF.