ASTRONOMY & AEROSPACE

Tsiolkovsky rocket equation

Estimates the velocity increment obtained by the mass ratio of an ideal rocket.

Δv=veln⁡m0mf\Delta v=v_e\ln\frac{m_0}{m_f}

symbols, variables and units

Δv,v_e: m/s; m₀,m_f: kg; v_e: effective exhaust speed.

applicable conditions and boundaries

has constant exhaust speed and no external force loss; actual tasks include gravity and resistance losses.

formula source code

The following is a copyable LaTeX expression.

\Delta v=v_e\ln\frac{m_0}{m_f}

Reference and Extended Learning

NASA · Basics of Space Flight ↗

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.

rocket equationrocket

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