See title. This is a shower thought that popped into me while slowly waking up. I’m thinking, what if due to e.g. gravitational shenanigans, the pull on a planet is such that a planet stands relatively motionless in a fixed position towards its star?
Is that possible or am I forgetting some astronomy basics?
Lagrange points L4 and L5 are stable (think trojan asteroids), L1, L2 and L3 are unstable and require some propellant for station keeping (think James Webb).