📜 Theorem, law or theory

Tsiolkovsky rocket equation

Ecuación del cohete de Tsiolkovski

Date
1903 · confidence high
Place
Kaluga, Russia
Credited to
Konstantin Tsiolkovsky
Field
Movement

⚠️ Disputed: the sources disagree.

What was discovered

Mathematical relation between a rocket's change in velocity, its exhaust velocity and the ratio of initial to final mass. It sets the theoretical limit of any rocket flight and justifies multistage rockets.

Tsiolkovsky published it in 1903 ('Exploration of Outer Space by Means of Reaction Devices'), although his notebooks date it to about 1897. William Moore (1810-1813) and Ivan Meshchersky (1897, variable mass) had derived it earlier, so priority is nuanced.

What it led to

  • design of staged rockets and propellant mass budgets
  • proposal of high-performance liquid propellants (hydrogen and oxygen)
  • delta-v budgeting for every space mission
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Sources✓ verified 2026-11-04