Comparison of Numerical Methods for the Integration of Natural Satellite Systems

Celestial Mechanics and Dynamical Astronomy

Volumn 70, Issue 2, 1998, Pages 99-113

  Hadjifotinou, K G ^a   Gousidou Koutita, M ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

Numerical integration; Satellite orbits

Indexed keywords

EID: 0006223849     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026475908041     Document Type: Review

References (18)

1. Broucke, R.: 1971, 'Solution of the N-Body Problem with Recurrent Power Series', Celest. Mech. 4, 110-115.
2. Deprit, A. and Henrard, J.: 1967, 'A Manifold of Periodic Orbits', Boeing Scientific Research Laboratories, Document D1-82-0622, pp. 133-143.
3. Deprit, A. and Price, J. F.: 1965, 'The Computation of Characteristic Exponents in the Planar Restricted Problem of Three Bodies', Astron. J. 70, 836-846.
4. Deprit, A. and Zahar, R. V. M.: 1966, 'Numerical Integration of an Orbit and Its Concomitant Variations by Recurrent Power Series', ZAMP 17, 425-430.
5. Dormand, J. R., El-Mikkawy, M. E. A. and Prince, P. J.: 1987, 'High-Order Embedded Runge-Kutta-Nyström Formulae', IMA J. Num. Analysis 7, 423-430.
6. Elipe, A. and Lara, M.: 1993, 'Recurrent Power Series in Integration of Orbits', AAS/AIAA 85, 2357-2368.
7. Emslie, A. G. and Walker, I. W.: 1979, 'Studies in the Application of Recurrence Relations to Special Perturbation Methods V', Celest. Mech. 19, 147-162.
8. Fox, K.: 1984, 'Numerical Integration of the Equations of Motion of Celestial Mechanics', Celest. Mech. 33, 127-142.
9. Gousidou-Koutita, M.: 1980, 'Elliptic Restricted Problem of Three Bodies, with Applications to the Dynamics of Lunar Satellites', PhD Thesis, Univ. of Manchester.
10. Herrick, S.: 1972, 'Astrodynamics' Vol. 2, Van Nostrand Reinhold.
11. Kinoshita, H.: 1976, 'Third-Order Solution of an Artificial-Satellite Theory', in D. Szebehely (ed.), Dynamics of Planets and Satellites and Theories of Their Motions, Reidel Pub. Co., Dordrecht-Holland, pp. 241-257.
12. Królikowska, M. and Sitarski, G.: 1996, 'Evolution of the Orbit of Comet 46P/Wirtanen During 1947-2013', Astron. Astrophys. 310, 992-998.
13. Milani, A. and Nobili, A. M.: 1988, 'Integration Error Over Very Long Time Spans', Celest. Mech. 43, 1-34.
14. Montenbruck, O.: 1992, 'Numerical Integration of Orbital Motion Using Taylor Series', AAS/AIAA Spaceflight Mechanics Meeting, Paper AAS 92-195, Colorado Springs, Colorado.
15. Quinn, T. and Tremaine, S.: 1990, 'Roundoff Error in Long-Term Planetary Orbit Integrations', Astron. J. 99, 1016-1023.
16. Roy, A. E., Moran, P. E. and Black, W.: 1972, 'Studies in the Application of Recurrence Relations to Special Perturbation Methods I', Celest. Mech. 6, 468-482.
17. Sinclair, A. T. and Taylor, D. B.: 1985, 'Analysis of the Orbits of Titan, Hyperion and Iapetus by Numerical Integration and by Analytical Theories', Astron. Astrophys. 147, 241-246.
18. Steffensen, J. F.: 1957, 'On the Problem of Three Bodies in the Plane', Mat. Fys. Medd. Dansk. Vid. Selskap. 31, No. 3.