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Final Project

Differential Equations

Freefall Mission Red Bull Stratos

By Omar Olaes, Gerardo Nieto, Len Felipe Bojalil

November 15th, 2012

Thomas Edwards McGowan

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A Little History :

The first man to attempt this was Joe Kittinger in the 60s, he was a military pilot that had some

unsuccessful attempts, he fainted in the first one and an automatic parachute saved him, in the

second attempt he jumped from 102,800 feet in 4 minutos 38 seconds. Now at the age of 84

helped in the Red Bull Stratos project as capsule communicator.Felix Baumgartner is the man that jumped in the Stratos project, he is a professional skydiver

from Australia.

The mission :

Red Bull sponsored this as a publicity stunt, 8000,000 people have watched the video and

many watched it live on Internet. Well, they want to break the barrier of sound and beat the old

record of Joe Kittinger, from 102,800 feet to 120,000

Variables :

Density :

At ground the density of the air is 1.2 kg/m3

At 120,000 feet it is 7.3x10-4 kg/m3

Density makes also difference in the size of the balloon because the gas that they need

to use has to have less density than air, and at that height the density is only 6%

comparing to grounds.

Gravity and Air resistance :

Gravity only reduces like 1% (9.68 N) from the ground (9.8 N, the mass of a human is

ridiculous comparing to the earths, so the attraction is pretty much the same.

Terminal velocity : At some point the force of air resistance is going to be bigger than the

force of gravity, so he will achieve a terminal velocity at some point of the fall. (the

weight of the parachute is approximately 60 pounds)

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Some Data :

Gravity

( 9.68 + 9.8 ) / 2 = 9.74 N

Density

(0.00073 + 1.2) / 2 = 0.60

Weight = 244 kg * 9.74 = 2375.58 N Space suit = 127 kg

Felix = 90 kg

Parachute = 27 kg

V2 = Vo2 - 2g(y-yo)

Fg= mg

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Real Data from the Red Bull Stratos :

Height : 128,000 feet

Free Fall : 119,846Time : 4 minutes 20 seconds

Max Velocity : 372.7866 m/s

The barrier of sound is 340 m/s

Conclusions :

We were 99.68% close to the real maximum velocity that Felix achieved, but we know

we were very lucky getting this data and maybe it has some flaws, but thats the closest

we could get. Also there are many more variables that we didnt used, like the inclination

of the jump, the air pushing sideways, that he had some techniques to speed up and

slowdown, so he could be able to open his parachute.

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Resources :

http://en.wikipedia.org/wiki/Joseph_Kittinger#Project_Excelsior

http://en.wikipedia.org/wiki/Felix_Baumgartner

http://www.wired.com/wiredscience/2012/02/stratos-space-jump-can-you-fall-faster-than-the-

speed-of-sound/http://www.wired.com/wiredscience/2012/10/red-bull-stratos-why-didnt-felix-break-the-free-fall-

time-

record/?utm_source=Contextly&utm_medium=RelatedLinks&utm_campaign=MoreRecently

http://stratocat.com.ar/artics/excelsior-e.htm

http://en.wikipedia.org/wiki/Body_surface_area

http://en.wikipedia.org/wiki/Drag_coefficient

http://en.wikipedia.org/wiki/Joseph_Kittinger#Project_Excelsiorhttp://en.wikipedia.org/wiki/Joseph_Kittinger#Project_Excelsiorhttp://en.wikipedia.org/wiki/Felix_Baumgartnerhttp://en.wikipedia.org/wiki/Felix_Baumgartnerhttp://www.wired.com/wiredscience/2012/02/stratos-space-jump-can-you-fall-faster-than-the-speed-of-sound/http://www.wired.com/wiredscience/2012/02/stratos-space-jump-can-you-fall-faster-than-the-speed-of-sound/http://www.wired.com/wiredscience/2012/02/stratos-space-jump-can-you-fall-faster-than-the-speed-of-sound/http://www.wired.com/wiredscience/2012/10/red-bull-stratos-why-didnt-felix-break-the-free-fall-time-record/?utm_source=Contextly&utm_medium=RelatedLinks&utm_campaign=MoreRecentlyhttp://www.wired.com/wiredscience/2012/10/red-bull-stratos-why-didnt-felix-break-the-free-fall-time-record/?utm_source=Contextly&utm_medium=RelatedLinks&utm_campaign=MoreRecentlyhttp://www.wired.com/wiredscience/2012/10/red-bull-stratos-why-didnt-felix-break-the-free-fall-time-record/?utm_source=Contextly&utm_medium=RelatedLinks&utm_campaign=MoreRecentlyhttp://www.wired.com/wiredscience/2012/10/red-bull-stratos-why-didnt-felix-break-the-free-fall-time-record/?utm_source=Contextly&utm_medium=RelatedLinks&utm_campaign=MoreRecentlyhttp://stratocat.com.ar/artics/excelsior-e.htmhttp://stratocat.com.ar/artics/excelsior-e.htmhttp://en.wikipedia.org/wiki/Body_surface_areahttp://en.wikipedia.org/wiki/Body_surface_areahttp://en.wikipedia.org/wiki/Drag_coefficienthttp://en.wikipedia.org/wiki/Drag_coefficienthttp://en.wikipedia.org/wiki/Drag_coefficienthttp://en.wikipedia.org/wiki/Body_surface_areahttp://stratocat.com.ar/artics/excelsior-e.htmhttp://www.wired.com/wiredscience/2012/10/red-bull-stratos-why-didnt-felix-break-the-free-fall-time-record/?utm_source=Contextly&utm_medium=RelatedLinks&utm_campaign=MoreRecentlyhttp://www.wired.com/wiredscience/2012/10/red-bull-stratos-why-didnt-felix-break-the-free-fall-time-record/?utm_source=Contextly&utm_medium=RelatedLinks&utm_campaign=MoreRecentlyhttp://www.wired.com/wiredscience/2012/10/red-bull-stratos-why-didnt-felix-break-the-free-fall-time-record/?utm_source=Contextly&utm_medium=RelatedLinks&utm_campaign=MoreRecentlyhttp://www.wired.com/wiredscience/2012/02/stratos-space-jump-can-you-fall-faster-than-the-speed-of-sound/http://www.wired.com/wiredscience/2012/02/stratos-space-jump-can-you-fall-faster-than-the-speed-of-sound/http://en.wikipedia.org/wiki/Felix_Baumgartnerhttp://en.wikipedia.org/wiki/Joseph_Kittinger#Project_Excelsior