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← 02-30 Symplectic Energy

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Showing Revision 2 created 10/24/2012 by Amara Bot.

  1. There's just a single change in here--
  2. instead of using x at the old step, we're using x at the new step.
  3. We see that they're taking almost eight orbits around that planet
  4. and the trajectory does not seem to explode or to implode.
  5. Even better, we see that the energy follows a periodic pattern.
  6. There is no drift up or drift down in energy, and the overall changes of the energy are pretty small,
  7. but keep in mind that the energy is not precisely conserve.
  8. With some mathematical sophistication, one can show that there's a series of quantities
  9. that are close to energy and are conserved better and better.