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Relationship Between Jacobi Function and Potential Energy

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Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 369))

Abstract

In the previous chapters we have considered the general approach to the formulation and solution of global dynamics problems for a self-gravitating system in terms of volumetric (integral) characteristics.

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References

  • Chandrasekhar S.: An introduction to study of stellar structure. Univ. Chicago Press (1939)

    Google Scholar 

  • Dive, P.: Bull. Soc. Math. France 59, 128 (1931)

    MathSciNet  Google Scholar 

  • Duboshin, G.N.: Celestial Mechanics: The Main Problems and the Methods. Nauka, Moskow (1975)

    Google Scholar 

  • Ferronsky, S.V.: Observation of coherent pulsations in the Earth atmosphere with period about one and half hour. Phys Atmos Ocean 20, 922–928 (1984)

    Google Scholar 

  • Ferronsky, V.I., Denisik, S.A., Ferronsky, S.V.: The solution of Jacobi’s virial equation for celestial bodies. Celest. Mech. 18, 113–140 (1978)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Ferronsky, V.I., Denisik, S.A., Ferronsky, S.V.: Virial oscillations of celestial bodies: I. The effect of electromagnetic interactions. Celest. Mech 23, 243–267 (1981)

    Article  MATH  ADS  Google Scholar 

  • Flügge, S.: Practical Quantum Mechanics. Springer, Berlin (1971)

    Google Scholar 

  • Janke, E., Emde, F., Lösch, F.: Tafeln höherer funktionen, 6 Aufgabe. BG Teubner, Stuttgart (1960)

    Google Scholar 

  • Kittel, C., Knight, W.D., Ruderman, M.W.: Mechanics, Berkeley Physics Course, vol. 1. McGraw Hill, New York (1965)

    Google Scholar 

  • Wintner, A.: The Analytical Foundations of Celestial Mechanics. Princeton University Press, Princeton (1941)

    Google Scholar 

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Ferronsky, V.I., Denisik, S.A., Ferronsky, S.V. (2011). Relationship Between Jacobi Function and Potential Energy. In: Jacobi Dynamics. Astrophysics and Space Science Library, vol 369. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0498-5_6

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