The Angle obtained by drawing the Auxiliary Circle of an Ellipse with center and Focus , and
drawing a Line Perpendicular to the Semimajor Axis and intersecting it at . The Angle is
then defined as illustrated above. Then for an Ellipse with Eccentricity ,
(1) |
(2) |
(3) |
(4) |
(5) |
(6) |
(7) |
(8) |
(9) |
(10) |
See also Eccentricity, Ellipse, Kepler's Equation
References
Danby, J. M. Fundamentals of Celestial Mechanics, 2nd ed., rev. ed. Richmond, VA: Willmann-Bell, 1988.
Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/lpc/lpc.html
© 1996-9 Eric W. Weisstein