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4Problem 4. Stephen Hawking is orbiting the Earth in Virgin Galactic’s first commercialspace voyage. To be on the safe side, Richard Branson has chosen the orbit to be perfectlycircular and ensured that the clock on-board the spaceship is ticking at the same rate as aclock at rest on the surface of the Earth. Calculate the altitude of Stephen Hawking (youmay neglect the rotation of the Earth).(7p)Problem 5. Derive the following formulas:(2)D µ V µ = ∂ µ V µ + Γ µ µλ V λΓ µ µλ= 1 √ g∂ µ√ g(3)D µ V µ = 1(4)(5)√ g∂ µ ( √ gV µ )D µ D µ φ = 1 √ g∂ µ(√ g ∂ µ φ ) .(7p)

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