Eccentric Anomaly

The Angle obtained by drawing the Auxiliary Circle of an Ellipse with center and Focus , anddrawing a Line Perpendicular to the Semimajor Axis and intersecting it at . The Angle isthen defined as illustrated above. Then for an Ellipse with Eccentricity ,

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

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

• Euler Polynomial
• Euler Polynomial Identity
• Euler Power Conjecture
• Euler Product
• Euler Pseudoprime
• Euler Quartic Conjecture
• Euler's 6n+1 Theorem
• Euler's Addition Theorem
• Euler's Circle
• Euler's Conjecture
• Euler's Criterion
• Euler's Displacement Theorem
• Euler's Distribution Theorem
• Euler's Factorization Method
• Euler's Finite Difference Transformation
• Euler's Graeco-Roman Squares Conjecture
• Euler's Homogeneous Function Theorem
• Euler's Hypergeometric Transformations
• Euler's Idoneal Number
• Euler's Machin-Like Formula
• Euler's Pentagonal Number Theorem
• Euler's Phi Function
• Euler's Polygon Division Problem
• Euler's Quadratic Residue Theorem
• Euler Square