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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

A Nudge, Not a Steering Wheel

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But no burn is perfect, and Earth's pull is not perfectly even. Over a day or two, the spacecraft drifts a little off the line it was supposed to follow.
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Midcourse correction: a small burn, usually only a few seconds long, that adjusts the trajectory to remove aiming errors accumulated since TLI.

  • Small errors in the TLI burn, plus the uneven pull of Earth's gravity, mean the spacecraft will miss its intended aim point by some amount. A midcourse correction fixes that.
  • It is a discrete event, not continuous steering. The spacecraft does not fly with its engine throttled up to hold a line; it coasts, drifts slightly off, then nudges back.
  • Because the burn is tiny, its cost in propellant is tiny. Continuous steering would spend propellant every second of the trip.

Key point: corrections are rare and small by design, so they barely touch the fuel budget.

References

  1. [1]NASA — Apollo 11 Flight Journal, Day 1: The Trip to the Moonnasa.gov
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