Let's take the Trappist-1 system, and specifically, I'm thinking about the star itself and Trappist 1e because it's the most habitable of the seven planets:
- Trappist 1 star is approximately 8.98% of the Sun's mass
- Trappist 1e is a rocky planet with approximately 77.2% of the Earth's mass, located about 0.029 AU from its star on average.
Take this system and put it in orbit around a G-type star with the same mass as our sun. How far apart would the two stars have to be for their orbit to be stable and for Trappist 1e's orbit to remain stable?