Tilted large deviation principle: Difference between revisions

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{{Orphan|date=February 2009}}
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'''Gate orbits''' are optimal circular departure orbits for transfer from one planet to another. At certain specific orbits around a cosmic body, the additional [[delta-v|delta-''v'']] required to go from orbital velocity to [[hyperbolic trajectory]] for an interplanetary transfer, is minimal. Gate orbits can therefore be very useful for minimising the [[delta-v budget|delta-''v'' budget]] for an interplanetary trip.
 
 
For example, the required delta-''v'' for a [[Hohmann transfer orbit]] from the Earth to Mars (considering Earth at 1 AU and Mars at 1.52 AU) is 2.94 km/s. To reach 2.94 km/s at infinity from a [[low Earth orbit]] at, say 200 km altitude, requires a 3.61 km/s burn. If the vehicle were to leave the Earth's attraction from the 92,000 km high Mars gate orbit instead, required delta-''v'' would be only 2.08 km/s. At higher still orbits the required delta-''v'' rises again. For example, at 150,000 km, required delta-v is now 2.17 km/s.
 
Reducing the delta-''v'' from 3.61 to 2.08 km/s can reduce the total mass of the vehicle by as much as 38%, or increase the payload by 62%!
 
The radius of a given gate orbit can be calculated using the following equation:
:<math>r = {2\mu \over v_\infty^2}</math>
 
where:
*<math>r\,</math> is the distance between the [[orbiting body]] and the [[central body]], in km
*<math>\mu\,</math> is the [[standard gravitational parameter]], in km<sup>3</sup>s<sup>−2</sup>
*<math>v_\infty\,</math> is the required velocity at infinity, in km·s<sup>−1</sup>. Remember <math>v_\infty^2</math> is also known as <math>C3</math>
 
== External links ==
* [http://www.christov.com/space/IGO-5.pdf Interplanetary Gate Orbits by Marco Christov]
 
[[Category:Spaceflight]]
[[Category:Orbital maneuvers]]

Latest revision as of 13:27, 5 May 2014

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