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Kako izračunati Rocket Equation

Što je Rocket Equation?

The rocket equation (Tsiolkovsky) relates rocket velocity change to exhaust velocity and mass ratio. It's fundamental to space mission planning and launch vehicle design.

Formula

The calculator applies ΔV = v_e × ln(m_initial / m_final)

Vodič korak po korak

  1. 1Enter initial mass, final mass, and exhaust velocity
  2. 2The calculator applies ΔV = v_e × ln(m_initial / m_final)
  3. 3Results show achievable velocity change

Worked Examples

Unos
v_e = 4000 m/s, m_initial = 100 tonnes, m_final = 10 tonnes
Rezultat
ΔV ≈ 9,210 m/s
Sufficient for Earth orbit

Common Mistakes to Avoid

  • Using natural logarithm (ln) instead of log₁₀
  • Confusing initial mass with fuel mass

Frequently Asked Questions

Why does mass ratio matter so much?

The logarithmic relationship means doubling the mass ratio roughly doubles the velocity change, making efficiency critical.

What determines exhaust velocity?

Exhaust velocity depends on propellant energy density and engine efficiency; chemical rockets are typically 3000-4500 m/s.

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