मिशन ईंधन द्रव्यमान कैलकुलेटर — सूत्र

Mission Fuel Mass

From the Tsiolkovsky equation, the fuel needed for a given delta-v depends exponentially on the ratio dv/ve.

Formula

m_fuel = m_dry * (exp(dv / ve) - 1)

  • *m_dry* = payload plus structural mass
  • *dv* = required velocity change
  • *ve* = exhaust velocity

    • This shows why high delta-v missions are so demanding on fuel.

    हल किया गया उदाहरण

    5000 kg dry mass, 3000 m/s delta-v, 3000 m/s exhaust velocity.

    1. m_fuel = m_dry * (exp(dv/ve) - 1)
    2. dv/ve = 3000/3000 = 1
    3. exp(1) = 2.7183
    4. m_fuel = 5000 * (2.7183 - 1) = 5000 * 1.7183
    5. m_fuel = 8591 kg