The analemma criterion: accidental quasi-satellites are indeed true quasi-satellites

@article{Marcos2016TheAC,
  title={The analemma criterion: accidental quasi-satellites are indeed true quasi-satellites},
  author={Carlos de la Fuente Marcos and Ra{\'u}l de la Fuente Marcos},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2016},
  volume={462},
  pages={3344-3349}
}
In the Solar system, a quasi-satellite is an object that follows a heliocentric path with an orbital period that matches almost exactly with that of a host body (planetary or not). The trajectory is of such nature that, without being gravitationally attached, the value of the angular separation between host and quasi-satellite as seen from the Sun remains confined within relatively narrow limits for time-spans that exceed the length of the host's sidereal orbital period. Here, we show that… 

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