Relativistic Effects of our Galaxy's Motion on Circles-in-the-sky

@article{Calvao2004RelativisticEO,
  title={Relativistic Effects of our Galaxy's Motion on Circles-in-the-sky},
  author={Maur'icio O. Calvao and G. I. Gomero and B. C. Mota and Marcelo Jose Reboucas},
  journal={arXiv: Astrophysics},
  year={2004}
}
We study the geometric effects of our galaxy's peculiar motion on the circles-in-the-sky. We show that the shape of these circles-in-the-sky remains circular, as detected by a local observer with arbitrary peculiar velocity. Explicit expressions for the radius and center position of such an observed circle-in-the-sky, as well as for the angular displacement of points on the circle, are derived. In general, a circle is detected as a circle of different radius, displaced relative to its original… 
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