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A model that combines celestial geometry and atmospheric physics is used tocalculate the dimming of artificial satellites as they enter and exit theEarth's shadow. Refraction of sunlight by the terrestrial atmosphere canilluminate a satellite while it is inside the eclipse region determined fromgeometry alone. Meanwhile, refraction combines with atmospheric absorption todim the satellites for tens of km outside of that region. Spacecraft brightnessis reduced more in blue light than in red because absorption of sunlight isstronger at shorter wavelengths. Observations from the MMT-9 roboticobservatory are consistent with the model predictions. Tables of satellitebrightness as functions of their location in the eclipse region are provided.

The Brightness of Starlink and OneWeb Satellites During Ingress and Egress from Terrestrial Eclipses