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Gravity and Newton's Laws: How Apollo Saved Fuel to the Moon

1Why Coasting Is Free: Newton's First Law on the Way to the Moon2Gravity as a Free Engine: Newton's Law of Gravitation on the Translunar Coast3Designing the Path: Free-Return Trajectory and the Oberth Effect4The Remaining Burns: Lunar Orbit Insertion and Transearth Injection
Why Coasting Is Free: Newton's First Law on the Way to the Moon

The Delta-v Budget: Why Few Burns Win

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Put the numbers together and the strategy becomes obvious. Every burn costs delta-v — a change in velocity — and propellant is spent in proportion to delta-v.
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Delta-v: the total change in velocity a mission must produce. Every burn adds to the delta-v total.

  • Propellant consumed is tied to delta-v. A mission that needs less total delta-v needs less propellant — which means less mass, smaller tanks, and more margin for the burns that matter.
  • Coasting mission: TLI plus one small midcourse correction. Total delta-v is dominated by TLI alone.
  • Continuous-burn mission: the engine runs throughout the transit to hold the trajectory. Delta-v accumulates every second, and the fuel gauge empties long before arrival.
  • The Apollo strategy is therefore not clever engine technology — it is a budget decision: spend delta-v only where physics cannot do the job for free.
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