Long-term integration error of Kustaanheimo-Stiefel regularized orbital motion. II. Method of variation of parameters

Astronomical Journal

Volumn 121, Issue 3, 2001, Pages 1764-1767

  Arakida, Hideyoshi ^a   Fukushima, Toshio ^b  

^a GRADUATE UNIVERSITY FOR ADVANCED STUDIES   (Japan)

^b NATIONAL ASTRONOMICAL OBSERVATORY OF JAPAN   (Japan)

Author keywords

Celestial mechanics; Methods: numerical

Indexed keywords

EID: 0039842107     PISSN: 00046256     EISSN: None     Source Type: Journal    
DOI: 10.1086/319408     Document Type: Article

References (9)

1. Arakida, H., & Fukushima, T. 2000, AJ, 120, 3333 (Paper I)
2. Evans, N. W., & Tremaine, S. 1999, AJ, 118, 1888
3. Fukushima, T. 1999, in IAU Colloq. 173, Evolution and Source Regions of Asteroids and Comets, ed. J. Svoren, E. M. Pittich, & H. Rickman (Tatranská Lomnica: Astron. Inst. Slovak Acad. Sci.), 309
4. Hairer, H., Nørsett, S. P., & Wanner, G. 1987, Solving Ordinary Differential Equations I (Berlin: Springer)
5. Lambert, J. D., & Watson, I. A. 1976, J. Inst. Math. Applications, 18, 189
6. Ouinlan, G. D. 1999, preprint (astro-ph/9901136)
7. Quinlan, G. D., & Tremaine, S. 1990, AJ, 100, 1694
8. Stiefel, E., Rössler, Waldvogel, J., & Burdet, C. A. 1967, Methods of Regularization for Computing Orbits in Celestial Mechanics (NASA CR-769) (Washington: NASA)
9. Stiefel, E. L., & Scheifele, G. 1971, Linear and Regular Celestial Mechanics (Berlin: Springer), chap. 5