任务燃料质量计算器 — 公式
## Mission Fuel Mass
From the Tsiolkovsky equation, the fuel needed for a given delta-v depends exponentially on the ratio dv/ve.
### Formula
**m_fuel = m_dry * (exp(dv / ve) - 1)**
- *m_dry* = payload plus structural mass
- *dv* = required velocity change
- *ve* = exhaust velocity
This shows why high delta-v missions are so demanding on fuel.
From the Tsiolkovsky equation, the fuel needed for a given delta-v depends exponentially on the ratio dv/ve.
### Formula
**m_fuel = m_dry * (exp(dv / ve) - 1)**
- *m_dry* = payload plus structural mass
- *dv* = required velocity change
- *ve* = exhaust velocity
This shows why high delta-v missions are so demanding on fuel.
计算示例
5000 kg dry mass, 3000 m/s delta-v, 3000 m/s exhaust velocity.
- m_fuel = m_dry * (exp(dv/ve) - 1)
- dv/ve = 3000/3000 = 1
- exp(1) = 2.7183
- m_fuel = 5000 * (2.7183 - 1) = 5000 * 1.7183
- m_fuel = 8591 kg