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Pre-Phase A Report - Lisa - Nasa

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6.3 Injection into final orbits 137<br />

the direction to the sun for these trajectories ranges from 10 ◦ to 60 ◦ , making it difficult<br />

to provide power with a solar array fixed to the spacecraft body. The current spacecraft<br />

design includes steered solar arrays to provide power for the ion-engines during the<br />

transfer phase, so that the arrays can be pointed towards the sun regardless of the thrust<br />

direction. These arrays would be attached to the propulsion module for each spacecraft<br />

and jettisoned, along with the ion engine, after reaching the operational orbits.<br />

6.3 Injection into final orbits<br />

The spacecraft will have limited maneuvering capability once separated from the propulsion<br />

module, due to the limited impulse of the micronewton thrusters. This requires that<br />

the spacecraft be accurately delivered to the final orbits.<br />

If chemical propellant is used in the propulsion modules, a fairly large (∆V ≈ 500 m/s)<br />

insertion manuever would be needed upon reaching the desired operational orbit. With<br />

typical manuever execution errors of 1 %, the error in this maneuver would be be about<br />

10 m/s which would be much too large to be corrected by the micronewton thrusters.<br />

Therefore, after the main insertion maneuver, the propulsion module would need to remain<br />

attached to the spacecraft while sufficient tracking information is acquired to determine<br />

the error in the orbit insertion maneuver.<br />

The propulsion module would then perform a correction maneuver of order 10 m/s. The<br />

expected error in a maneuver of this size would be about about 10 cm/s which would<br />

still be too large for the micronewton thrusters to correct. Another period of spacecraft<br />

tracking would be needed to design a final correction maneuver to be executed by the<br />

propulsion module. After the execution of the final correction maneuver, the spacecraft<br />

would separate from the propulsion module. The separation would be effected by a springseparation<br />

system, with a separation velocity of order 10 cm/s. The error in the separation<br />

maneuver is expected to be of order 1 cm/s which can be corrected using the micronewton<br />

thrusters.<br />

With the use of a solar-electric propuslion module, while detailed navigation studies have<br />

not yet been performed, it is likely that a similar series of tracking periods, orbit error<br />

estimation, and orbit correction would be needed before the propulsion modules could be<br />

separated from the spacecraft.<br />

6.4 Orbit configuration stability<br />

Both the nature of the elliptical orbits and planetary perturbations will cause small<br />

changes in the lengths of the sides of the triangle formed by the three spacecraft. These<br />

orbital changes of distance between spacecraft will impose Doppler shifts on the interferometer<br />

signals that will have to be removed using on-board oscillators (clocks). Noise<br />

from the oscillators will then corrupt the distance measurements. The amount of noise<br />

introduced depends on the size of the Doppler shift and the performance of the oscillator.<br />

The spacecraft are designed to be drag-free so that the only significant forces affecting the<br />

proof masses at the center of each spacecraft are gravitational. In the simplest case the<br />

Corrected version 2.08 3-3-1999 9:33

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