如何计算Rocket Equation
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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.
公式
The calculator applies ΔV = v_e × ln(m_initial / m_final)
分步指南
- 1Enter initial mass, final mass, and exhaust velocity
- 2The calculator applies ΔV = v_e × ln(m_initial / m_final)
- 3Results show achievable velocity change
例题解析
输入
v_e = 4000 m/s, m_initial = 100 tonnes, m_final = 10 tonnes
结果
ΔV ≈ 9,210 m/s
Sufficient for Earth orbit
常见错误注意事项
- ✕Using natural logarithm (ln) instead of log₁₀
- ✕Confusing initial mass with fuel mass
常见问题
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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