Is it right that the shadows at the moon are the longest?
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yes
It's the solar eclipse via the moon blocking sunlight on the earth, about 400K kms. away. Jupiter is WAY too far away to see a shadow on it, and the light shadow will clearly be too low in photons to detect. Since a lunar eclipse isn't on the earth, that doesn't count. Otherwise, visualize this: it'd be the length of the shadow cast by Mt. Everest when the limit of the shadow would be the sun's elevation to the tangent off the top of Mount Everest to the longest distance to the visible horizon. From the sun setting in the west, then there would be a very high peak well east of Everest in China, which could hold the shadow distance record.
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