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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 One Big Burn That Starts the Coast

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So if coasting is free, where does the motion come from in the first place? From one burn, fired while the spacecraft is still circling Earth.
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Translunar injection (TLI): the burn that changes the spacecraft's orbit from a closed loop around Earth into an elongated path that reaches the Moon's distance.

  • TLI is the one large departure burn of the outbound trip. It is performed near the end of the Earth parking orbit, where the spacecraft is already moving fast.
  • Because the burn raises the orbit, the spacecraft leaves Earth's vicinity with less speed than it had in parking orbit — the extra energy went into climbing away from Earth.
  • After TLI the engine shuts down and the coast begins. No further large burn is needed to reach the Moon.

Why one burn is enough: the burn sets the trajectory once; inertia carries the spacecraft along it.

References

  1. [1]NASA — Apollo 11 Mission Overviewnasa.gov
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