Formula
Margined Δv = required Δv × (1 + contingency)
Ideal propellant = dry mass × (eΔv/(g₀Isp) − 1)
Loaded propellant = ideal propellant ÷ (1 − residual fraction), where g₀ = 9.80665 m/s²
What the result means
Use the main result as a transparent first-order planning value. The supporting metrics expose intermediate quantities so assumptions can be checked and compared across scenarios.
The Tsiolkovsky equation is an ideal single-equivalent-burn estimate. Mission design must also account for finite burns, gravity losses, attitude control, leaks, tank sizing, and propulsion-system constraints.