Habitable planet at L4/L5 of binary gas giants?

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The discussion centers on the feasibility of two gas giants orbiting each other with a terrestrial planet positioned at their L4 or L5 points. For stability at these points, the mass ratio of the gas giants must exceed 25, with one giant being significantly more massive than the other. While a terrestrial planet could remain stable at these points for short durations, such as a year, long-term stability over billions of years is highly questionable. Even in stable orbits, the planet may face risks from perturbations, leading to potential ejection or becoming an impactor. The stability of a planet at the L4 or L5 points is less reliable compared to positions ahead or behind the gas giants, which may allow for longer-term survival. However, the likelihood of life evolving on such a planet remains doubtful, particularly beyond single-celled organisms.
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Would it be plausible to have two gas giants orbiting each other, a few million km apart, with a terrestrial planet at their mutual L4 or L5 point so that they both appear as visible disks fixed in the sky? Or would the terrestrial planet not be stable there and end up ejected?
 
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The two giants would have to have a mass ratio above approximately 25 (i.e. one of the giants has to be 25 times more massive than the other) for their L4 and L5 points to be stable (for a particle there).
 
A possibly better question is "for how long"? A year? Easy. A hundred billion? Not so easy. In between is, well, in between.
 
Vanadium 50 said:
A possibly better question is "for how long"? A year? Easy. A hundred billion? Not so easy. In between is, well, in between.
And for a "Habitable planet" you probably need billions.
 
IIRC, even in 'halo' orbit around those nominally stable 'points', the unfortunate planet is not safe. Rather than perturbation causing ejection, it is more likely to become an impactor...

Which, IMHO, would be something to watch. By comparison, the SL_9 fragments' was almost trivial.
( FWIW, when I wondered if Jupiter's Great Red Spot was spawned by a mega-impact, it went badly... )

Ahead or behind at 'trojan' points of the two giants' combined mass-centre, your planet may stay around for a lot longer. Long enough for life to evolve beyond single-cells ??? I doubt it...
 
We've just had an interesting thread about generation ships, but I don't think that that is the most reasonable way to colonize another planet. Fatal problems: - Crew may become chaotic and self destructive. - Crew may become so adapted to space as to be unwilling to return to a planet. - Making the planet habitable may take longer then the trip, so the ship needs to last far longer than just the journey. - Mid-flight malfunction may render the ship unable to decelerate at the destination...
I know this topic is extremely contraversial and debated, but I'm writing a book where an AI attempts to become as human as possible. Would it, eventually, especially in the far future, be possible for an AI to gain a conscious? To be clear, my definition of a consciousness being the ability to possess self-created morals, thoughts, and views, AKA a whole personality. And if this is possible (and let's just say it is for this question), about how long may it take for something to happen...
This is a question for people who know about astrophysics. It's been said that the habitable zones around red dwarf stars are so close to those stars that any planets in the zones would be tidally locked to the stars in question. With one side roasting and another side freezing almost forever, those planets wouldn't be hospitable to life. a) Could there be forms of life--whole ecologies--that first evolve in the planet's twilight zone and then extend their habitat by burrowing...

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