On the inversion of mutual occultation light curves

Mathematics – Logic

Scientific paper

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Astronomical Photometry, Jupiter (Planet), Light Curve, Natural Satellites, Occultation, Albedo, Computer Techniques, Data Smoothing, Instrument Errors, Inversions, Limb Darkening, Lunar Photographs, Random Noise

Scientific paper

The extent to which mutual occultation light curves, of the type that occur among the Galilean satellites of Jupiter, can be inverted to produce albedo maps of the surfaces has been investigated. Model calculations have been done utilizing the earth's own moon as the object of study. It is found that the inversion process can be successfully accomplished even in the presence of amounts of random noise typical of routine high-quality photometry of the Galilean satellites. The inversion process is also reasonably tolerant of systematic errors in the light curves, such as those due to photometric nonlinearity. Unless the limb-darkening distribution is pathological or the geometric elements adopted are seriously in error it should be possible to produce fairly high resolution maps of at least some of the Galilean satellites.

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