There is no place on Earth where stars are always visible. You would have to be near the north pole March 21-Sept 21 and near the south pole during the other six months of the year. There might be many nights that are clouded out in those locations.
If you are content to see stars at night only, the best place to be is at a high altitude in a dry climate near the equator, such as Mauna Kea or the Chilean Andes, where the largest telescopes are already located.
If stars should always be visible, where should you be located on earth?
Can I answer this considering the celestial sphere and the ecliptic? I am not sure how...
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Thanks!