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Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations pp 471–490Cite as

Multirevolution methods for orbit integration

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 362))

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References

  1. D. Boggs, "An Algorithm for Integrating Lifetime Orbits in Multirevolution Steps," AAS Paper No. 68-142, presented at the AAS/AIAA Astrodynamics Specialist Conference, Jackson, Wyoming, Sept. 3–5, 1968.

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  2. C.J. Cohen and E.C. Hubbard, "An Algorithm Applicable to Numerical Integration of Orbits in Multirevolution Steps," Astron. J., Vol. 65, pp. 454–456, 1960.

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  3. E. Fehlberg, "Classical Fifth-, Sixth-, Seventh-, and Eighth-Order Runge-Kutta Formulas with Stepsize Control," NASA Technical Report R-287, 1968.

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  4. P. Henrici, Discrete Variable Methods in Ordinary Differential Equations, John Wiley & Sons, New York, 1962.

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  5. D. Mace and L.H. Thomas, "An Extrapolation Formula for Stepping the Calculation of the Orbit of an Artificial Satellite Several Revolutions Ahead at a Time," Astron. J., Vol. 65, pp. 300–303, 1960.

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  6. W.G. Melbourne, J.D. Mulholland, W.L. Sjogren, F.M. Sturms, "Constants and Related Information for Astrodynamics Calculations," JPL Technical Report 32-1306, pp. 23–24, 1968.

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  7. E.L. Stiefel and G. Scheifele, Linear and Regular Celestial Mechanics, Springer-Verlag, New York, 1971.

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  8. G.P. Taratynova, "Numerical Solution of Equations of Finite Differences and Their Application to the Calculation of Orbits of Artificial Earth Satellites," ARS Journal, Vol. 31, pp. 976–988, 1961.

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  9. C.E. Velez, "Numerical Integration of Orbits in Multirevolution Steps," NASA Technical Note D-5915, 1970.

    Google Scholar 

  10. C.A. Wagner, "The Drift of a 24-Hour Equatorial Satellite Due to an Earth Gravity Field Through 4th Order," NASA Technical Note D-2103, 1964.

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Authors and Affiliations

  1. University of Texas, Austin, Texas

    Otis Graf

Authors
  1. Otis Graf
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Dale G. Bettis

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© 1974 Springer-Verlag

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Graf, O. (1974). Multirevolution methods for orbit integration. In: Bettis, D.G. (eds) Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations. Lecture Notes in Mathematics, vol 362. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066606

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  • DOI: https://doi.org/10.1007/BFb0066606

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06602-6

  • Online ISBN: 978-3-540-37911-9

  • eBook Packages: Springer Book Archive

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