Habitable planet in a multistar system
I'm trying to design a world in the Alcyone A system of the Pleiades.
Alcyone A consists of three stars. The main star is 3.4-3.8 solar masses. There is a very low mass star < 15 million miles away which orbits every 4 days. There is another star ~ 480 million miles away which orbits every 830 days. It is about 1.7-1.9 solar masses.
I want to have a habitable planet/moon in this system. The main star has ~2400x solar luminosity, so I think by that measure the planet needs to be about 50 AU from the main star. But it also needs to be far enough from the two main stars to be in a stable orbit. Is there a range that is close enough to be habitable but far enough away to be stable? Could a moon of a gas giant be warm enough for tidal heating?
I understand that a blue giant star like this doesn't have a long enough lifespan for life to evolve, but that's OK. I just need a habitable planet suitable for terraforming/colonization.
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