Bounds on the solution to Kepler's equation

Details Bounds on the solution to Kepler's equation Bounds on the solution to Kepler's equation

Feb 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cemec..38..111s&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 38, Feb. 1986, p. 111-121.

Physics

3

Kepler Laws, Orbit Calculation, Elliptical Orbits, Hyperbolic Trajectories, Series Expansion, Taylor Series

Scientific paper

Techniques for selecting the interval within which the E0 root of the Kepler equation of satellite motion is to be sought are examined analytically. The equation for elliptical motion is rewritten; a geometrical interpretation is given; and two general linear methods for selecting the E0 interval are derived and illustrated using graphs. An analogous method for a Kepler-like equation of hyperbolic motion is also given.

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