Multistage Rocket Optimal Mass Staging Calculator

Launch Vehicle Sizing: Optimize propellant mass distribution, stage payload ratios, and structural fractions across 2-stage and 3-stage launch vehicles for target mission $\Delta v$.

Mission & Stage Architecture

Mission Total $\Delta v$ Required (m/s):

Payload Mass $m_{\text{pl}}$ (kg):

Number of Active Stages:

Stage 1 (Booster)

Specific Impulse $I_{\text{sp},1}$ (s):

Structural Fraction $\epsilon_1$:

Stage 2 (Upper Stage)

Specific Impulse $I_{\text{sp},2}$ (s):

Structural Fraction $\epsilon_2$:

Mass Distribution & Launch Sizing

Gross Liftoff Mass ($m_0$)

-- kg

-- metric tons

Overall Payload Ratio ($\lambda$)

-- %

GLOW / Payload: --x

Optimized Stage Breakdown:

Optimization Diagnostics:

• Convergence status: Optimal

• Limiting factor: Lagrange Multiplier Equilibrium

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Multistage Rocket Optimal Mass Staging Calculator

Mission & Stage Architecture

Mass Distribution & Launch Sizing

Frequently Asked Questions