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readme.txt 2018-09-24 2.1 kB
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ANGLES (OF ECCENTRIC ANOMALY) IN AN ELLIPSE OR SECTOR WHICH SWEEP SAME AREA (LIKE KEPLER'S LAW)
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## ellipse_kepler_angles

*  ellipse_kepler_angles( a, b ). n=1, tilt=0 and theta=2*pi are assumed
*  ellipse_kepler_angles( a, b, n ). tilt=0 and theta=2*pi are assumed
*  ellipse_kepler_angles( a, b, n, tilt, theta ). centre = 'f' is assumed.
*  ellipse_kepler_angles( a, b, n, tilt, theta, centre )

  Second law of Kepler:
   A line joining a planet and the Sun sweeps out equal areas during equal intervals of time

  This function takes parameters of an ellipse:

      a - semi-major axis. a > b

      b - semi-minor axis. b < a

  The number of equal area sections to split the ellipse:

      n - number (integer) of sections. . By default: 1.

  And, optionally, angles of a sector (from semi-major axis centred in focus or centre in that axis):

      tilt - start angle. By default: 0

      theta - finish angle. By default: 2*pi

      centre - centre or angle: 'c' = centre of ellipse, 'f' = focus (+c,0). By default: focus. 


  And returs an array of angular coordinates (E) measured counterclockwise
   from the semi-major axis (with reference focus), fron 0 to 2*pi,
   of equal areas like second law of Kepler.


  Inputs:

      a - semi-major axis. a > b

      b - semi-minor axis. b < a

      n - number (integer) of sections. n > 0

      tilt - start angle. pi < tilt < pi 

      theta - end angle from title (counterclockwise). 0 < theta < 2*pi

   Output:

      angles - array of angles from 0 to 2*pi of eccentric anomaly with equal area sweeped


## examples_ellipse_kepler_angles

A script with two examples of use of the function ellipse_kepler_angles

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   Rebeca González Barrio                                                    2018
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Source: readme.txt, updated 2018-09-24