sci.Tsiolkovsky-rocket-equation Calculator
Calculates rocket delta-v from the Tsiolkovsky equation: Δv = v_e × ln(m₀/m_f) where v_e = Isp × g₀. Falcon 9 first stage has Isp ≈ 311 s, m₀/m_f ≈ 5 — it delivers Δv ≈ 5.2 km/s before stage separation.
Inputs
- Isp S
- Reference formula or conversion factor shown for context.
- M0 Kg
- Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
- Mf Kg
- Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
- G0 M S2
- Reference formula or conversion factor shown for context.
Results
- Δv achievable (m/s)
- Reference formula or conversion factor shown for context.
- mass ratio MR = m₀/mf
- The proportional relationship between two quantities.
- propellant mass (kg)
- The computed mass of the object or substance.
- propellant mass fraction
- The computed mass of the object or substance.
- Δv = Isp·g₀·ln(m₀/mf)
- ISP (specific impulse) — rocket engine efficiency in seconds. Higher ISP means more thrust per kilogram of propellant consumed.
- mission feasibility
- Sample size or count used in the calculation.
specific initial achievable ratio tsiolkovsky