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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
The Remaining Burns: Lunar Orbit Insertion and Transearth Injection

Gravity Does the Work, the Engine Only Trims

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Put the whole mission together. One large burn leaves Earth. A tiny midcourse correction fixes the aim. Gravity slows the spacecraft on the way out and captures it at the Moon.
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The full fuel-conservation strategy across the Apollo mission:

  • Translunar injection (TLI): one large burn to leave Earth orbit and start the coast.
  • Midcourse correction: a tiny burn to fix trajectory errors, not to steer continuously.
  • Lunar orbit insertion (LOI): a small burn, because the Moon's gravity already bent the path into a bound trajectory.
  • Transearth injection (TEI): a timed burn that uses the Moon's orbital velocity to help send the spacecraft home.
  • Propellant reserve: enough propellant is held back for TEI before LOI is committed, because without the return burn the crew cannot come home.

Across the whole mission, gravity does the large-scale work — decelerating the spacecraft on the way out, capturing it at the Moon, and bringing it back — while the engine is used only for small, precisely timed corrections.

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