Theory of the occultation of Epsilon GEM by Mars

Physics – Optics

Scientific paper

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Atmospheric Refraction, Light Curve, Mars Atmosphere, Photometers, Stellar Occultation, Atmospheric Optics, Fresnel Diffraction, Fresnel Region, Mars Surface, Point Sources, Stellar Magnitude

Scientific paper

Theoretical photometric light curves are calculated for an occultation of Epsilon Gem by Mars and compared with observations. Theoretical profiles at ingress and egress are computed along with one for the central flash. It is found that a light ray grazing the Martian surface would suffer a refraction of approximately 30 arcsec, that the star would be refracted into two flashing and rapidly moving images of almost equal intensity at the poles, and that the intensity of Epsilon Gem at the precise center of the occultation shadow would have been about 12 times the unocculted intensity so that the light from the star would have been about 0.5 magnitude brighter than Mars itself. Small differences between the theoretical and observed light-curve profiles are attributed to Martian atmospheric extinction or irregularities.

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