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?


It could be stationary at the barycenter of a binary star system, but any perturbation would tend to destabilize it.