Determination of Limb-Darkening from HIPPARCOS Observations

Physics

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Scientific paper

We show in this paper how observations of an extended stellar or planetary object carried out with a periodic grid may also yield valuable information on its size and on the light distribution over its surface. We discuss the overall principles of this method and derive an analytical formulation for the `modulation function' defined in the text. We present the results obtained from Hipparcos main grid observations of minor planet (1) Ceres and planetary satellite S6-Titan, i.e. two of the largest bodies observed through the 1.2074 arcsec periodic main grid. The limb-darkening or Minnaert parameter of (1) Ceres is found to be k=0.61, and for Titan k=0.92.

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