Corpus ID: 235742898

Deriving Kepler's Laws Using Quaternions

  title={Deriving Kepler's Laws Using Quaternions},
  author={C. Abel},
In the past, Kepler painstakingly derived laws of planetary motion using difficult to understand and hard to follow techniques. In 1843 William Hamilton created and described the quaternions, which extend the complex numbers and can easily describe rotations in three dimensional space. In this article, we will harness this system to provide a new and intuitive way to derive Kepler’s laws. This will include using a quaternionic version of the spatial Kepler problem differential equation, and… Expand

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