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The atmospheric drag at 11,000 km could be ignored for a single orbit, which is all Puck promised to do.
The normal minimum orbit time for the Earth is about 84 minutes so to orbit it in 40 would require the continuous expenditure of energy
how much kilowatts per Kg of pucks mass?
Who is Puck?
However, it is possible to have a satellite at the same altitude (ie still above most of the atmosphere) that orbits in 40 minutes, with an orbital velocity of 42,000km/40 minutes = 17.5 km/second.Now, 17.5 km/s exceeds Earth's escape velocity (which is around 11.5 km/s). So you need to be firing a rocket away from the Earth to keep this space probe in a circular orbit at the same altitude as the ISS.
I don't know how to turn a rocket's thrust into kW
Puck could orbit in 40 minutes without thrust. So no energy input during that one orbit. Totally Geodesic.
We can work out what it would take to get a 40 minute free-fall orbit by applying Kepler's third law to the ISS:The ISS orbits in 90 minutes, at a radius of around 6700km from the center of the EarthAccording to Kepler, the square of the orbital period (P2) of an object is directly proportional to the cube of the semi-major axis of its orbit (a3).For a circular orbit, a is equal to the orbital radius.To get a free-fall orbit of 40 minutes, the ratio of the periods is 40/90=44%And the ratio of the orbital radii is 58%, or 3800km, which is well inside the Earth's 6400km radius.Don't worry about air resistance - Puck would need to be a very fast mole!However, Kepler's laws assume that planetary bodies are geometrical points, and his laws are invalid if you go subterranean.You would need to compress the entire Earth a lot denser than its current 5.5g/cm2 to achieve a 40 minute free-fall orbit - and that will take a lot of kW!