Laplace Limit
The value 
(Sloane's A033259) for which Laplace's formula for solving Kepler's Equation beginsdiverging. The constant is defined as the value 
at which the function
equals
. The Continued Fraction of is given by [0, 1, 1, 1, 27, 1, 1, 1, 8, 2, 154, ...](Sloane's A033260). The positions of the first occurrences of 
in the Continued Fraction of are 2, 10, 35, 13,15, 32, 101, 9, ... (Sloane's A033261). The incrementally largest terms in the Continued Fraction are 1, 27, 154,1601, 2135, ... (Sloane's A033262), which occur at positions 2, 5, 11, 19, 1801, ... (Sloane's A033263).See also Eccentric Anomaly, Kepler's Equation
References
Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/lpc/lpc.html Plouffe, S. ``Laplace Limit Constant.''http://www.lacim.uqam.ca/piDATA/laplace.txt. Sloane, N. J. A. Sequences A033259,A033260,A033261,A033262, andA033263in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html.
- Jordan's Lemma
- Josephus Problem
- Jug
- Jugendtraum
- Juggling
- Julia Fractal
- Julia Set
- Jump
- Jump Angle
- Jumping Champion
- Jung's Theorem
- Just If
- Just One
- Kabon Triangles
- Kac Formula
- Kac Matrix
- Kakeya Needle Problem
- Kakutani's Fixed Point Theorem
- Kakutani's Problem
- Kalman Filter
- Kampyle of Eudoxus
- KAM Theorem
- Kanizsa Triangle
- Kantorovich Inequality
- Kaplan-Yorke Conjecture