Consider an astronaut Alice space station orbiting the earth at a radius R = 4R⊕ from the center, where R⊕ = 6.4 × 10^6 m is the earth’s radius and M⊕ = 5.972 x 10^24 kg. Assume the orbit is circular. Consider a second astronaut Julie who’s far away outside the earth’s gravitational field and is at rest with respect to the earth. 1. Considering only special relativity, how much time does Alice age if Julie ages 1 year? 2. Considering only gravity (not special relativity), how much time does Alice age if Julie ages 1 year? 3. Now considering both of these effects (gravity and special relativity) , how much time does Alice age if Julie ages 1 year?
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Consider an astronaut Alice space station orbiting the earth at a radius R = 4R⊕ from the center, where
R⊕ = 6.4 × 10^6 m is the earth’s radius and M⊕ = 5.972 x 10^24 kg. Assume the orbit is circular.
Consider a second astronaut Julie who’s far away outside the earth’s gravitational field and is at rest with respect to the earth.
1. Considering only
2. Considering only gravity (not special relativity), how much time does Alice age if Julie ages 1 year?
3. Now considering both of these effects (gravity and special relativity) , how much time does Alice age if Julie ages 1 year?
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