Calculadora de Masa de Combustible de Misión Gratis

Calcula la masa de combustible necesaria para una misión espacial usando la ecuación de Tsiolkovsky.

kg
m/s
m/s

Required Fuel Mass

8,591.41 kg

Total Launch Mass13,591.41 kg
Fuel Fraction0.632121

Required Fuel Mass vs Dry Mass (payload + structure)

Fórmula

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.

    Ejemplo Resuelto

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

    1. 01m_fuel = m_dry * (exp(dv/ve) - 1)
    2. 02dv/ve = 3000/3000 = 1
    3. 03exp(1) = 2.7183
    4. 04m_fuel = 5000 * (2.7183 - 1) = 5000 * 1.7183
    5. 05m_fuel = 8591 kg

    Preguntas Frecuentes

    How does this change with multiple stages?

    Each stage is calculated independently. The payload of one stage becomes the total mass of the next, compounding the savings from discarding empty tanks.

    Why does fuel mass grow exponentially?

    The rocket must carry fuel to accelerate the remaining fuel. This feedback loop leads to exponential growth with delta-v.

    What is a typical fuel fraction for orbital launch?

    About 85% to 92% of the launch mass is propellant. Only 1-4% is payload for a single-stage system.

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