• Corpus ID: 54065844

Closed periodic orbits in anomalous gravitation

@article{Vermeersch2018ClosedPO,
  title={Closed periodic orbits in anomalous gravitation},
  author={Bjorn Vermeersch},
  journal={arXiv: Popular Physics},
  year={2018}
}
Newton famously showed that a gravitational force inversely proportional to the square of the distance, $F \sim 1/r^2$, formally explains Kepler's three laws of planetary motion. But what happens to the familiar elliptical orbits if the force were to taper off with a different spatial exponent? Here we expand generic textbook treatments by a detailed geometric characterisation of the general solution to the equation of motion for a two-body `sun/planet' system under anomalous gravitation $F… 

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