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A Comparison Between Some Approximate and Numerical Solution of Dynamical Eulerliouville Equation for Rigid Non-Symetrical Free Body with Fast Oscilating Interaction in Gravitational Field

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Języki publikacji
EN
Abstrakty
EN
Tumbling NPA (non-principal axis) asteroids are discovered by the investigation of photometric data and asteroids lightcurves. A particular solution of Euler-Liouville equation was found for an elongated symmetrical body. It may be useful for investigations of dual periods of rotational motion NPA tumbling asteroids. Physical formula of the gravity force moment acting at a rigid body was derived. A numerical solution of the same accurate equation was found and compared with the analytical ones. A stable region of the numerical solution was investigated and numerical algorithms for fast variables were examined. Very long time period of the numerical solution of Euler- Liouville equation for the body in gravitational field was found.
Rocznik
Strony
31--46
Opis fizyczny
Bibliogr. 15 poz., rys.
Twórcy
  • Geodesy and Cartography Institute, Academy of Management, Lodz, Poland
Bibliografia
  • 1. Akulenko L.D., Kumakshev S.A., Markov Yu.G., 2004; Model of the gravitational-tidal mechanism of exciting oscillations of the Earth’s pole, Doklady Physics, vol. 50, No. 2, pp. 106-111.
  • 2. Birlan M., Nedelcu A., 2010; Physics of asteroids and their junction of dynamics, Lect. Notes Phys. 790, pp. 229-250.
  • 3. Cheng A.F., 2009; Fundamentally distinct outcomes of asteroid collisional evolution and catastrophic disruption, Planetary and Space Science 57, pp. 165-172.
  • 4. Kadono T., Arakawa M., Ito T., Ohtsuki K., 2009; Spin rates of fastrotating asteroids and fragments in impact disruption, Icarus 200, pp.694-697.
  • 5. Krupowicz A., 1986; Metody numeryczne zagadnień początkowych równań różniczkowych zwyczajnych, Państwowe Wydawnictwo Naukowe, Warszawa.
  • 6. Kryszczyńska A., La Spina A., Paolicchi P., HarrisA.W., Breiter S., Pravec P., 2007; New findings on asteroid spin-vector distributions, Icarus 192, pp.223-237.
  • 7. Noyelles B., 2010; Theory of the rotation of Janus and Epimetheus, Icarus 207, pp.887-902
  • 8. Pravec P., Harris A.W., Scheirich P., Kušnirák P., Šarounowá L., Hergenrother C.W., Mottola S., Hicks M.D., Masi G., Krugly Yu.N., Shevchenko V.G., Nolan M.C., Howell E.S., Kaasalainen M., Galád A., Brown P., DeGraff D.R., Lambert J.V., Cooney W.R. Jr., Foglia S., 2005; Tumbling asteroids, Icarus 173, pp. 108-131.
  • 9. Rubinowicz W., Królikowski W. , 1967, Mechanika teoretyczna, Państwowe Wydawnictwo Naukowe, Warszawa.
  • 10. Takeda T., Ohtsuki K., 2007; Mass dispersal and angular momentum transfer during collision of rubble-pile asteroids, Icarus 189, pp. 256-273.
  • 11. Tanga P., Hestroffer D., Delbó M., Richardson D.C. 2009; Asteroids rotation and shapes from numerical simulations of gravitational reaccumulation, Planetary and Space Science 57, pp. 193-200.
  • 12. van Zon R., Schofield J., 2007, Numerical implementation of the exact dynamics of free rigid bodies, Journal of Computational Physics 225, pp. 145-164.
  • 13. Vokrouhlickỳ D., Nesvornỳ D., Bottke W.F.,2006; Secular spin dynamics of inner main-belt asteroids, Icarus 184, pp. 1-28.
  • 14. Vokrouhlickỳ D., Briter S., Nesvornỳ D., Bottke W.F.,2007; Generalized YORP evolution: Onset of tumbling and new asymptotic state , Icarus 191, pp. 636-650.
  • 15. Warner B.D., Harris A.W., Pravec P., 2009; The asteroid lightcurve database, Icarus 202, pp. 134-146.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-4234f09c-d339-4134-9ed1-496ef3d6f411
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