A Fast Procedure Solving Gauss' Form of Kepler's Equation

Details A Fast Procedure Solving Gauss' Form of Kepler's Equation A Fast Procedure Solving Gauss' Form of Kepler's Equation

Feb 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998cemda..70..115f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 70, Issue 2, p. 115-130 (1998).

Astronomy and Astrophysics

Astronomy

3

Gauss' Method, Kepler'S Equation, Nearly Parabolic Orbit, Gauss' Method, Kepler'S Equation, Nearly Parabolic Orbit

Scientific paper

We developed a procedure solving Gauss' form of Kepler's equation, which
is suitable for determining position in the nearly parabolic orbits. The
procedure is based on the combination of asymptotic solutions, the
method of bisection, and the Newton method of succesive correction. It
runs 3 4 times faster than the original Gauss' method.

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