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Pre-Phase A Report - Lisa - Nasa

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136 Chapter 6 Mission Analysis<br />

fairing and launch capability of a Delta II 7925 H. The Earth-escape orbit has an excess<br />

normalized energy of C3 =1.1km 2 /s 2 so that the three spacecraft will slowly drift behind<br />

the Earth. After launch and injection to the Earth-escape trajectory, the three spacecraft<br />

will be separated and individually targeted to their desired operational orbit.<br />

At launch, each spacecraft will be attached to a propulsion module. The propulsion<br />

modules will provide the capability to maneuver the spacecraft into the desired operational<br />

orbits. After reaching the operational orbits, about 13 months after launch, the propulsion<br />

modules will be separated from the spacecraft to avoid having excess mass, propellant,<br />

and/or moving parts near the proof masses within the spacecraft. After reaching the final<br />

orbits, the spacecraft positions will evolve under gravitational forces only. Micronewton<br />

ion thrusters will be used to keep the spacecraft centered about the shielded proof masses<br />

within each spacecraft. The thrusters could be used to perform small (∆V < 1cm/s)<br />

maneuvers if required.<br />

Maneuvers with total ∆V ≈ 1000 m/s are needed to reach the desired operational orbits<br />

after launch. If a conventional chemical propulsion system was chosen, each spacecraft<br />

would perform two maneuvers of approximately 500 m/s each. The first orbit change<br />

maneuver would be a plane-change maneuver to incline the spacecraft orbit by i 1◦ with respect to the ecliptic. The plane-change maneuvers would take place at different<br />

times for each spacecraft since the three final orbits are shifted 120◦ from each other along<br />

the ecliptic. For example, one spacecraft might perform a plane-change maneuver shortly<br />

after launch, the second spacecraft about 4 months after launch, and the third spacecraft<br />

about 8 months after launch. Approximately 13 months after launch, each spacecraft<br />

would perform a maneuver to stop the slow drift with respect to the Earth.<br />

The mass of chemical propellant needed to perform the orbit-change maneuvers, combined<br />

with the current masses estimated for each spacecraft, would total more than the<br />

capability of the Delta II 7925 H launch vehicle. The mass of the propellant can be considerably<br />

reduced by use of ion-engines with their much larger specific impulses (velocity<br />

with which propellant is ejected) compared with chemical systems. The solar-powered<br />

ion engines have an efficiency such that the required propellant mass can be reduced by a<br />

factor of approximately 10. This is offset partly by the mass of the additional solar panels<br />

needed to provide power for the ion engine.<br />

The required ion-engine thrust is rather small, about 20 mN, if the engine is on during<br />

most of the orbit transfer phase. This is much smaller than the thrust of engines designed<br />

for interplanetary missions. However, ion-engines developed for station keeping of<br />

geosynchronous communications satellites are of an appropriate size. In particular, the<br />

Hughes XIPS thruster has a thrust of 18 mN. This engine is currently being tested in orbit<br />

on a Hughes communications satellite. The mass of propellant (xenon) needed for use<br />

with this engine to provide the required ∆V for the mission is only 20 kg per spacecraft<br />

compared with the ≈ 180 kg per spacecraft of propellant needed for the traditional chemical<br />

system. This reduction in mass is a major factor that enables the current mission<br />

design to be launched on a Delta-II class launch vehicle.<br />

The spacecraft transfer trajectories using the ion-engines have not yet been fully optimized.<br />

A set of candidate trajectories has been found to establish the engineering<br />

feasibility. The candidate trajectories require that the ion-engines be on during approximately<br />

80 % of the 13 month transfer phase. The angle between the thrust direction and<br />

3-3-1999 9:33 Corrected version 2.08

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