Тіссеранів параметр


Тіссеранів параметр (англ. Tisserand’s parameter) чи Тіссеранів інваріант — комбінація елементів орбіти, що застосовується в обмеженій задачі трьох тіл. Названо на честь французького астронома Фелікса Тіссерана (1845–1896).



Визначення |


Для малого тіла з великою піввіссю adisplaystyle a,!, ексцентриситетом edisplaystyle e,!, та нахилом орбіти idisplaystyle i,!, відносно до орбіти збурюючого великого тіла з великою піввіссю aPdisplaystyle a_P Тіссеранів параметр визначається виразом:


aPa+2⋅aaP(1−e2)cos⁡idisplaystyle frac a_Pa+2cdot sqrt frac aa_P(1-e^2)cos i


Посилання |


  • Сторінка Джуїтт Девід Tisserand's parameter
  • Murray, Dermot Solar System Dynamics, Cambridge University Press, ISBN 0-521-57597-4

  • J. L. Elliot, S. D. Kern, K. B. Clancy, A. A. S. Gulbis, R. L. Millis, M. W. Buie, L. H. Wasserman, E. I. Chiang, A. B. Jordan, D. E. Trilling, and K. J. Meech The Deep Ecliptic Survey: A Search for Kuiper Belt Objects and Centaurs. II. Dynamical Classification, the Kuiper Belt Plane, and the Core Population. The Astronomical Journal, 129 (2006). preprint






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