Kepler's laws, orbital elements, two-body problem and basic perturbations.
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Q1 · Celestial Mechanics · HARD
A satellite orbits Earth at an altitude equal to Earth's radius (RE = 6400 km). What is the orbital period of the satellite? (Take g = 10 m/s²)
Q2 · Celestial Mechanics · HARD
A satellite is in a circular orbit around Earth at an altitude equal to Earth's radius (R). If the orbital velocity at Earth's surface would be v₀, what is the orbital velocity of the satellite?