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Moon & Mars Orbiting Spinning Tether Transport - Tethers Unlimited

Moon & Mars Orbiting Spinning Tether Transport - Tethers Unlimited

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Rapid Interplanetary <strong>Tether</strong> <strong>Transport</strong> SystemsIAF-99-A.5.10<strong>Tether</strong>Periapsisafterincomingrelease(ready foroutboundpickup)∏ r<strong>Tether</strong> Periapsis at capture∏ c(following last outbound releaseand maneuvers)Periapsis of∏ x aerobraking∆ω r-u Tc exit orbit∆u (aerobraking)Tc∆ω a ∏u xc i Periapsis ofincoming orbit-u inf (om di - π/2)= π - (A 2 - u inf )Planetorbit∏ rω iA 2<strong>Tether</strong> Orbit Inbound StateLow energy, periapsis nearantisolar point<strong>Tether</strong> Orbit Outbound StateHigh energy, periapsis rotatedcounter-clockwiseHyperbolicasymptoteof outboundpayloadorbitToSunOutboundtrajectoryInboundtrajectoryvi 2 = v u2 + v r2Hyperbolicasymptoteof inboundpayloadorbitv r(sun) = v r(orbit)- v r(planet)Trajectory of patch pointv u(orbit)A 22π + A 1v u(planet)v u(rel) = v u(orbit) -v u(planet)Figure 23. "Planet"Whip showing catch and toss states using aerobraking.The scenario we will describe usesEarthWhip and <strong>Mars</strong>Whip tethers of nearminimum mass made of Spectra ª 2000 with a tipspeed of 2.0 km/s. Because they have small totalmasses, the toss and catch operationssignificantly affect the tether rotation speed,center of mass, and orbital parameters, all ofwhich are taken into account in the simulation.The payload is assumed to be initially launchedfrom Earth into a suborbital trajectory todemonstrate to the reader that the MERITTsystem has the capability to supply all of theenergy and momentum needed to move thepayload from the upper atmosphere of the Earthto the upper atmosphere of <strong>Mars</strong> and back again.We don't have ask the payload to climb to nearlyEarth escape before the MERITT system takesover.In practice, it would probably be wise to havethe payload start off in an initial low circularorbit. The energy needed to put the payload intoa low circular orbit is not that much greater thanthe energy needed to put the payload into asuborbital trajectory with an apogee just outsidethe Earth's atmosphere. The circular orbit optionalso has the advantage that there would beplenty of time to adjust the payload orbit to25

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