Electronic Resource
Springer
Celestial mechanics and dynamical astronomy
63 (1995), S. 101-111
ISSN:
1572-9478
Keywords:
Kepler's Equation
;
two-body problem
;
elliptical motion
;
numerical methods
;
orbit propagation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Kepler's Equation is solved over the entire range of elliptic motion by a fifth-order refinement of the solution of a cubic equation. This method is not iterative, and requires only four transcendental function evaluations: a square root, a cube root, and two trigonometric functions. The maximum relative error of the algorithm is less than one part in 1018, exceeding the capability of double-precision computer arithmetic. Roundoff errors in double-precision implementation of the algorithm are addressed, and procedures to avoid them are developed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00691917
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