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A spacecraft is in a heliocentric orbit trailing Earth. It is desired to perform...

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A spacecraft is in a heliocentric orbit trailing Earth. It is desired to perform a Hohmann transfer maneuver to enter a heliocentric orbit trailing Mars. Calculate the required propellant mass for this operation. The spacecraft has a dry mass of 5000 kg (excluding propellant for this maneuver) and an engine with an exhaust velocity of 4.4 km/s.

(Heliocentric trailing orbit means that this spacecraft is close to and trailing Earth or Mars, but actually orbiting the Sun, not these planets).

  • μ Sun = 1.327 × 10E20 m3 / s2
  • Earth's orbital radius = 1 AU
  • Mars' orbital radius = 1.52 AU

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