Furthest Earthlings From Earth: Apollo 13 or Cow?

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SUMMARY

The discussion centers on the comparison of the Apollo 13 mission and the hypothetical scenario of a cow jumping over the moon in terms of gravitational slingshot trajectories. It is established that Apollo 13's slingshot maneuver allowed its crew to travel further from Earth than any other humans. The analysis suggests that a cow, due to its smaller mass, would require a closer lunar pass to achieve a similar trans-Earth injection, leveraging the gravitational slingshot effect effectively. The conversation also touches on the physics principle that mass does not affect the rate of fall, as demonstrated by the equivalence of a feather and a brick in free fall.

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  • Understanding of gravitational slingshot mechanics
  • Basic principles of physics related to mass and acceleration
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BadBrain
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Now, we all know that Apollo 13's slingshot trajectory around the moon carried the august crew of that storied ship further from Earth than any other human beings have ever been.

However, the ancient nursery rhyme assures us that the cow jumped over the moon.

Looking into the physics of bovine space-travel trajectories, it appears to me that the smaller mass of the cow as opposed to the Apollo13 CSM-LM combo would require a closer pass over the lunar surface. Assuming that expulsion of intestinal gasses from the cow (properly timed) would impart sufficient thrust for her to achieve trans-Earth injection, the nearer pass over the lunar surface would be required to counteract her lesser mass relative to Apollo 13 for her to gain full benefit from the gravitational slingshot effect.

Am I right or what?
 
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The mass of the projectile makes no difference. A feather and a brick fall at the same rate.
 

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