On the Moon's surface, lunar astronauts placed a corner reflector, off of which a laser beam is periodically reflected. The distance to the Moon is calculated from the round-trip time.

The Earth's atmosphere slows down light. Assume the distance to the Moon is precisely 3.84×108 m , and Earth's atmosphere (which varies in density with altitude) is equivalent to a layer 30.0 km thick with a constant index of refraction =1.000293 .

What is the difference Δ in travel time for light that travels only through space to the moon and back and light that travels through the atmosphere and space?