Time passes more slowly by a factor of x at plane cruising altitude of 12000 m above the earth's surface, compared to the time experienced by an object at infinity. At approximately how many places after the decimal point does x differ from 1.000…?
Useful Constants:
- The radius of the earth is 6.37×106 m.
- The speed of light is 3×108 m/s.
- Newton's gravitational constant is 6.67×10−11 N⋅m2/kg2.
- The mass of the earth is 5.97×1024 kg.