In: Physics
The 2015 supermoon eclipse of the moon took place when the moon was at perigee.
(a) How much larger (as per cent) is the angular radius of the moon at perigee compared to apogee?
(b) The moon is drifting away from the Earth at a rate of 4 cm per year. How long will it take until we no longer see any total Solar eclipses at perigee? You may assume that the semi-major axis of the Earth-Sun system does not change over this period