The_Peli

Arriving at our solar system with interstellar speeds from an awkward angle and assuming we have a good enough heat shield, would it be possible to chain a series of aerobrakes with various planets with thick atmospheres to finally be captured by one of them (without getting roasted or fly into infinity in the process) thus saving fuel for landing? Roughly what would the optimal trajectory look like? What planet would you choose for the first pass?