Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

SYMBOLIC COMPUTING ALGORITHM FOR THE METHOD OF SUCCESSIVE APPROXIMATIONS FOR NEAR-PARABOLIC ORBITS

  • M.A.Sharaf (Dept. of Astronomy Faculty of Science Cairo University) ;
  • Abdel-Naby-S.Saad (Dept.of Astron.National Res.Inst.of Astron) ;
  • Samiha-A.Najmuldeen (Dept. of Mathematics Teachers College of Girls Makkah) ;
  • Mona-Banaja (Dept. of Mathematics Girls College of Education Jeddah)
  • Published : 1997.06.01

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Abstract

In this paper an accurate algorithm for the method of successive approximations for near-parabolic orbits is established symbolically. Numerical applications are given for motion predictions at fifteen epochs between the years 66 to 1835 for Halley's comet. and at fifteen epochs between the years 1417 to 1782 for Encke's comet. Comparisons with the standard Gauss method [4] show that the present algorithm is very accurate and efficient for motion pred-ications of near-parabolic orbits.

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References

  1. AIAA Education Series An introduction to the Mathematics and Methods of Astrodynamics Battin, R.H.
  2. SIAM Review v.9 no.1 Computational Aspects of Three-Term Recurrence Relations Gautschi, W.
  3. Minor Planet Circular No. 16001 Marsden, B.G.
  4. Bull: Fac. Sci. v.63 Symbolic Computing Algorithm of Gauss Method for Near-Parabolic Orbits Sharaf, M.A.;Saad, A.S.;Sharaf, A.A.
  5. Celestial Mechanics v.35 Universal Keplerian State Transition Matrix Shepperd, S.W.
  6. Acta Astronomica v.38 On The Nongravitational Motion of Comet P/Halley Sitarski, G.
  7. Acta Astronomica v.38 Long-Term Motion of Comet P/Encke Sitarski, G.
  8. Analytic Theory of Continued Fraction Wall, H.S.