Solving Kepler's Equation using Bézier curves

Celestial Mechanics and Dynamical Astronomy

Volumn 99, Issue 1, 2007, Pages 45-57

  Mortari, Daniele ^a   Clocchiatti, Alberto ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

B zier curves; Kepler Equation; Orbit propagation

Indexed keywords

EID: 34548228991     PISSN: 09232958     EISSN: 15729478     Source Type: Journal    
DOI: 10.1007/s10569-007-9089-2     Document Type: Article

References (10)

1. Battin R.H. (1987). An Introduction to the Mathematics and Methods of Astrodynamics. AIAA Education Series, New York
2. Bézier P.E. (1968). Procédé de Définition Numérique des Courbes et Surfâces non Mathématiques. Automatisme XIII(5): 189-196
3. Colwell P. (1993). Solving Kepler's Equation over Three Centuries. Willmann-Bell, Richmond, VA
4. Farin G.: A history of curves and surfaces in CAGD. In: Farin G., Kim M.S., Hoschek J. (eds.), Handbook of CAGD. Elsevier (2002)
5. Feinstein S.A., McLaughlin C.A. (2006). Dynamic discretization method for solving Kepler's equation. Celest. Mech. Dyn. Astron. 96: 49-62
6. Fukushima T. (1997). A method solving Kepler's Equation without transcendental function evaluations. Celest. Mech. Dyn. Astron. 66: 309-319
7. Markley F.L. (1996). Kepler equation solver. Celest. Mech. Dyn. Astron. 63: 101-111
8. Nijenhuis A. (1991). Solving Kepler's equation with high efficiency and accuracy. Celest. Mech. Dyn. Astron. 51: 319-330
9. Paul de Faget de Casteljau: Shape Mathematics and CAD. Kogan Page, London (1986)
10. Vallado D.A. (2001). Fundamentals of Astrodynamics and Applications, vol. 2. McGraw-Hill, New York