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Pre-Phase A Report - Lisa - Nasa

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4.2 Noises and error sources 87<br />

code employs Monte Carlo particle ray-tracing techniques to follow all particles (incident<br />

and generated) through three-dimensional representations of the LISA spacecraft geometry,<br />

taking into account all significant interactions. Table 4.3 shows the interactions that<br />

are currently modelled by GEANT. A more detailed discussion of the use of GEANT for<br />

this type of application can be found in [99].<br />

The geometric model constructed for LISA is summarised as follows: the 4 cm gold cubical<br />

test body is surrounded on all faces by 25 µm gold electrodes mounted on a cubicallysymmetric<br />

15 mm shell of quartz, enclosed in a 5 mm thick titanium vacuum housing,<br />

surrounded by 1 cm of carbon-epoxy representing the spacecraft structure. On two opposing<br />

faces of the cube, quartz windows (7 mm diameter) have been inserted in the<br />

titanium, quartz, and electrode layers, representing the access windows for LISA’s laser<br />

beams. Although this is a somewhat simplified representation, it does contain the key elements<br />

for accurate modelling, namely, a three-dimensional description of the intervening<br />

layers of material between the proof mass and the exposed spacecraft outer surface.<br />

Figure 4.5 shows the computed net charging of the LISA proof mass as a function of<br />

incident particle energy. To produce this curve, GEANT was used to analyse the effect of<br />

isotropic particles striking the outer spacecraft walls, for a range of energies from 100 MeV<br />

Figure 4.4 Cosmic ray differential<br />

energy spectrum (reproduced<br />

from [97]). The hydrogen<br />

spectrum has been multiplied<br />

by a factor of 5 to avoid<br />

clutter. For each species, the<br />

upper envelope indicates the<br />

solar minimum spectrum, the<br />

lower envelope indicates the solar<br />

maximum spectrum. The<br />

shaded area indicates the range<br />

of the solar modulation over a<br />

solar cycle.<br />

Corrected version 2.08 3-3-1999 9:33

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