$\begingroup$ hint: Apparently the Tsiolkovsky rocket equation does not actually say that you can launch a conventional rocket into orbit around an arbitrarily large and massive body. I'm looking for a number based on scaling the earth radius and maintaining the same average density. Must attain LEO, which also gets faster as the planet grows. Don Pettit's Tyranny mentioned in this nice answer is fun, but does not present enough math. On this Earth, rockets barely work.
