ROFLCopter64bit's Equations and Findings and Long Essays and other important thingos - Planet Slingshots and Mass Relays Up Next

[ROFLCopter64bit]

Well, me being on the physics team, you all expect me to make up discover stuff that already exists is new and interesting. Now, the first thing I will be discussing is...

Atmospheric Densities at Altitudes!!

What does this mean?
This will be about my findings on the atmospheric density of planets at different altitudes and how they exponentially change.
What time is it? It's Algebraic Time!

p_e = p_s x e^{-alt / s}

p_e = pressure at that height
p_s = pressure at sea level
alt = altitude
s = scale height
All pressure measurements are in atm and length measurements are in metres.

Anyway, stop with the boring stuff, now with the pretty pictures and lines!



If you want more detail or more pretty graphs that are interactive go here replace (dot) with .
docs.google(dot)com/spreadsheet/ccc?key=0AqfLHlyAZ_V6dEx6RW90NmxXcXM0X0lyZm8wbVBRaGc&usp=sharing

[ROFLCopter64bit]

Also, if you're wondering, the next topic will be on gravity slingshots then mass relays.

[Commander Error]

Well done. Now I can finally aerobrake without A) dying on impact with ground or B) slingshotting into interstellar space.

[ROFLCopter64bit]

Well done. Now I can finally aerobrake without A) dying on impact with ground or B) slingshotting into interstellar space.

Guess what? B) is going to happen next! Who wants some fuel saving techniques?

[BGraves]

How did you get the pressure equation? Did you just come up with it, or did you find it somewhere else?

[ROFLCopter64bit]

I would tell you how I got that equation, but I am on a phone and have no access to a computer. Anyway, as of that, I can't really tell you much about the upcoming stuff, but I can give you a preview. With the mass relay, if you only use ONE mainsail, it accelerates the object by about 200-300m/s. That was only from an experiment, and a lot more factors need to be tested to make an equation. The slingshot maneuver has been estimated to be roughly N = 2P + V, where n is new velocity, p is planet velocity and v is original velocity. I still need to toy around with the eccentricity factor.

[BGraves]

I would tell you how I got that equation, but I am on a phone and have no access to a computer. Anyway, as of that, I can't really tell you much about the upcoming stuff, but I can give you a preview. With the mass relay, if you only use ONE mainsail, it accelerates the object by about 200-300m/s. That was only from an experiment, and a lot more factors need to be tested to make an equation. The slingshot maneuver has been estimated to be roughly N = 2P + V, where n is new velocity, p is planet velocity and v is original velocity. I still need to toy around with the eccentricity factor.

Planet velocity means sidereal rotation velocity, I presume?

[ROFLCopter64bit]

If you mean how fast the planet is orbiting Kerbol then yes.

[BGraves]

Sidereal rotation velocity means how fast the planet revolves on its axis, compared to the stars (that's what sidereal means), so not how fast it orbits around Kerbol.

[ROFLCopter64bit]

Oh. No then, how fast the planet is orbiting Kerbol.

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