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Bieliptic Transfer Orbits
Can someone explain what a bieliptic transfer orbit is more
efficient than a Hoffman transfer orbit when the ratio of initial to final orbits is large and there is no inclination change to make? This is counter-intuitive, and the obvious Google(tm) searches don't help. -Much Thanks |
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Charles Talleyrand wrote:
Can someone explain what a bieliptic transfer orbit is more efficient than a Hoffman transfer orbit when the ratio of initial to final orbits is large and there is no inclination change to make? This is counter-intuitive, and the obvious Google(tm) searches don't help. You're in an orbit with radius R_1. Boost yourself up to escape speed and coast out to infinity. Perform an infinitesimal orbital correction to put yourself on the second transfer orbit, which has periapsis at your target orbit at radius R_2. When you get there, a third boost completes the maneuver. Or, if you don't have infinite time to spend, boost yourself out to a point somewhat closer, trading slightly smaller first and third burns for a slightly larger second burn. The total delta V will be greater, so use the biparabolic transfer as the limiting case. If you work out the total delta V required this way, versus that required by the Hohmann transfer, you'll find that for sufficiently extreme values of R_1/R_2, the two-stage transfer is cheaper. -- Bill Woods "If you examine my 16-year record in the Senate, you'll see that I'm just as effective when I'm not there as I was when I was there," said Mr. Kerry. "... I think it's disingenuous for Gov. Romney to suggest that my absence from the Senate harms America in any way." http://www.scrappleface.com/MT/archi...37.html#001737 |
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Bill Woods wrote:
You're in an orbit with radius R_1. Boost yourself up to escape speed and coast out to infinity. Perform an infinitesimal orbital correction to put yourself on the second transfer orbit, which has periapsis at your target orbit at radius R_2. When you get there, a third boost completes the maneuver. This idealized orbit is called a biparabolic transfer, by the way. plot(earth, uranus, BiparabolicTransfer) Source: Earth Destination: Uranus Opportunities: Opportunity: Earth/Uranus Angle: 1.94298093744 rad (111.32460739 deg) Period: 31943224.077 s Transfers: Transfer: biparabolic from `Earth' to `Uranus' Duration: inf s Burns: 12335.3007772, 2815.06576668 m/s Course: from `Earth' to `Uranus' Duration: inf s Deltavee: 15150.3665438 m/s -- __ Erik Max Francis && && http://www.alcyone.com/max/ / \ San Jose, CA, USA && 37 20 N 121 53 W && AIM erikmaxfrancis \__/ War is a continuation of policy by other means. -- Karl von Clausewitz |
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