OBF Practice Questions - OBF - Olimpíada Brasileira De Física Exam

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A satellite of mass m is in a circular orbit of radius r around a planet of mass M. To transfer the satellite to a higher circular orbit of radius 2r using a standard Hohmann transfer orbit, what is the total speed change Δv_total = Δv₁ + Δv₂ required from the thrusters?

Δv_total = √(GM/r) [√(3/2) - 1 + 1/√2] Δv_total = √(GM/r) [√(4/3) - 1 + 1/√2 - √(1/3)] Δv_total = √(GM/r) [2 - √2] Δv_total = √(GM/r) [√(2) - 1]

Correct Answer:

Δv_total = √(GM/r) [√(4/3) - 1 + 1/√2 - √(1/3)]

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