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The purpose of this website is to display the media files of the article attached below in which we are trying to prove the validity of Kepler's laws of planetary motion on 3D print of a surface similar to universal gravitation. 

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z = -1/r Surface​

  • Demonstration of Kepler's laws of planetary motion. 

  • Displays following figures for every dataset of motion of the ball/marble on this surface. 

  1. Animation and path traced by marble on the surface. ​

  2. Best fitted plane and distribution of data points about it.

  3. Projection of data on best fitted plane. 

  4. 3D data, projected data and best fitted plane

  5. #fig 9 (can't decide a title)

  6. Ellipse fitted to projected data

  7. Anomalies

  8. LRL vector conservation

  9. Conservation of areal velocity

  10. Kepler's third law validity

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Other Surfaces​​

  • Choice of either of these two surfaces, is expected to pertain to open orbits in accordance with the Bertrand's theorem.

  1. z = 1/r^2

  2.  z = log(r)

  • Displays the trajectories of the balls with different radii on 3D print of both surfaces.

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