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I suspect that they were lucky that their predictions agreed with reality so closely, but any prediction was going to have Neptune roughly (perhaps very roughly) in the same direction as Uranus, during the times when it affects Uranus the most. So I suspect their calculations meaningfully ruled out large swathes of sky, which improved odds of finding it.

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Although this may not be what you're looking for... They weren't "simply lucky." In fact, they didn't use Bode's law at all- they used calculations based on Neptune's supposed gravitational effect on Uranus. In fact, had the two used Bode's law, they would never have found Neptune, as the Bode "law" would predict a completely different location. (This is ...

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Venus has an axial tilt of 177$^\circ$, so it rotates backwards compared to the majority of other planets. It also has an extremely slow rotation rate of one rotation every 244 days. In comparison, Uranus rotates every 17 hours, but has an axial tilt of 98$^\circ$. It rotates in a direction almost in the same plane as its orbital motion. It seems very ...

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To prove that the Earth is round, look at sunset on clear days. The sky is bright after the Sun has gone below the horizon. If there are some clouds these are still lit by the sun and cast crisp shadows. If the Earth were flat, the sky and clouds would get dark at the same time and any shadows would grow more and more feint.

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