It depends. What difficulty are you playing? If you moved and are beside a river/coast (as well as the mountain) I would say good move. Moving the first settler means you could have 3 different luxury resources in the 3 tile range.
Getting a mountain is worth a turn. The only question is if it is worth whatever else you might be losing. Unless you are planning on wiping out the map before Astronomy I don't see why victory type would change whether you want an observatory in capital.
+%50 to science isn't to be sneezed at. You should always consider moving from your starting location as usually that's not the best spot. How many turns should you take, that depends on if you plan on building the GL/Stonehenge etc... or not.
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