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Calcimator

Launch Vehicle Selection Calculator

Payload capacity comparison across launch providers.

Inputs

%

Results

Propellant mass (kg)

104,021

Total launch mass (kg)

120,579

Launch cost ($M)

13.6

Mass ratio (m₀/m_f)21.8
Structural mass (kg)11,558
Payload fraction (%)4.15
Propellant fraction (%)86.27
Exhaust velocity (km/s)3.05
How to Use This Calculator
  1. Enter payload mass (kg) and required delta-V (km/s) for your target orbit.
  2. Set propellant specific impulse (sec) and dry mass fraction (%) for the launch vehicle stage.
  3. Enter cost per kg to orbit ($) for the candidate launch vehicle.
  4. Review mass ratio, propellant mass, structural mass, total launch mass, and payload fraction.
  5. Compare payload fraction across launch vehicle options to identify the most mass-efficient choice.

How the result changes with Specific impulse (sec)

Specific impulse (sec)Propellant mass (kg)Total launch mass (kg)Launch cost ($M)
59020,38327,64813.6
1,8153,4798,86513.6
3,2851,6946,88213.6
4,5101,1846,31613.6

What each input means

Payload mass (kg)
Mass of the payload to be delivered to the target orbit.
Required delta-v (km/s)
Total velocity change needed. LEO ~9.4, GTO ~12, Moon ~15.9, Mars ~16.5 km/s from surface.
Specific impulse (sec)
Engine Isp. RP-1/LOX ~311s, LH2/LOX ~450s, ion ~3000s, solid ~260s.
Dry mass fraction (%)
Structural mass as percentage of (structure + propellant). Modern rockets: 5-12%.
Cost per kg to orbit ($)
Launch cost per kg of payload. Falcon 9: ~$2,720/kg, Atlas V: ~$13,200/kg, Electron: ~$26,000/kg.

What each result means

Mass ratio (m₀/m_f)
Tsiolkovsky mass ratio: initial mass / final mass.
Propellant mass (kg)
Required propellant mass from the rocket equation.
Structural mass (kg)
Rocket dry structure mass (tanks, engines, fairings).
Total launch mass (kg)
Payload + propellant + structure.
Payload fraction (%)
Payload as percentage of total launch mass.
Propellant fraction (%)
Propellant as percentage of total launch mass.
Exhaust velocity (km/s)
Effective exhaust velocity = Isp x g₀.
Launch cost ($M)
Estimated launch cost in millions of dollars.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Payload mass (kg) = 5000, Required delta-v (km/s) = 9.4, Specific impulse (sec) = 311, Dry mass fraction (%) = 10 = 5 input(s) provided
  2. Calculate Propellant mass
    Propellant mass = m_initial - m_final
    104021 = 104021
  3. Calculate Total launch mass
    Total launch mass = payloadMassKg + propellantMassKg + structuralMassKg
    120579 = 120579
  4. Calculate Launch cost
    Launch cost = (payloadMassKg * costPerKgUSD) / 1_000_000
    13.6 = 13.6
  5. Calculate Mass ratio
    21.804 = 21.804
  6. Calculate Structural mass
    Structural mass = (propellantMassKg / (1 - dryFraction)) * dryFraction
    11558 = 11558

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