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Returning from ISS, Felix style

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Our main character Felixa (female, weight about 70kg) is onboard the ISS (altitude 408 km / 254 miles), when something similar to Gravity happens, and the space station is destroyed.

Her assets:

  1. A parachute similar to the one Felix Baumgartner used.
  2. 5 kg CO$_2$ fire extinguisher (brought for experimental reasons)
  3. About 10 space suits with compressed air tanks, with about 12 pounds of liquid air each. The suits have built-in EVA controls for a total of 25 m/s

Is it possible for our main character to propel her body within Earth's gravity with sufficient air to survive all the way to the ground without any harm?

Assume she has sufficient training in parachutes and orbital science.

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This post was sourced from https://worldbuilding.stackexchange.com/q/25851. It is licensed under CC BY-SA 3.0.

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