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TPF-I SWG Report - Exoplanet Exploration Program - NASA

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C HAPTER 4<br />

Figures 4-1–4-3. The motivation was to reduce the stellar size leakage which is often the dominant source<br />

of noise. Examples are the Angel cross, OASES, Laurance, and Bow-Tie configurations. Although they<br />

reduce the noise, they are also less efficient at detecting modulations in the planet photon rate. The star<br />

count model (Section 4.2.2) demonstrated that these higher-order null configurations were significantly<br />

less capable than the dual chopped Bracewell designs.<br />

A given nulling configuration may be implemented as either a free-flying formation of spacecraft or as a<br />

single, structurally-connected system. The length of a practical structure limits the inner working angle<br />

and angular resolution, and it severely restricts the number of targets that can be surveyed and<br />

characterized. For this reason, a structurally-connected option was not considered in the trade study. In<br />

addition, formation-flying arrays may be implemented in either co-planar or non-co-planar forms (as<br />

described in Section 4.5), although only co-planar forms were considered in the trade study.<br />

4.4 Collector Aperture Diameter and Array Size<br />

The performance of a given configuration depends strongly on the aperture diameter and constraints on<br />

the minimum and maximum array size. The aperture diameter is constrained by the launch vehicle and<br />

the number of spacecraft needed. We adopted the Boeing Delta IV-Heavy as the standard launch vehicle.<br />

We further assumed that the collector primary mirrors were circular and monolithic (i.e., no deployable<br />

Fairing diam. limit<br />

Predicted Launch Mass (kg)<br />

14000<br />

12000<br />

10000<br />

8000<br />

6000<br />

4000<br />

2000<br />

Launch mass limit<br />

4 collectors<br />

1 collector<br />

1<br />

2<br />

0<br />

1.5 2 2.5 3 3.5 4 4.5<br />

Primary Mirror Diameter (m)<br />

70<br />

Figure 4-9. Launch mass as a function of primary mirror diameter and the number of collectors for<br />

the case where there is a separate combiner spacecraft. Mass and fairing diameter constraints are<br />

shown for a Delta IV-Heavy launcher, assuming 30% mass margin. The maximum aperture<br />

diameter is 3.8 m for the Linear DCB and X-Array configurations, constrained by the launch mass<br />

(Point 1). The Linear 3 configuration has a maximum diameter of 4.1 m, constrained by the fairing<br />

diameter (Point 2). A modified set of curves was used for the combiner-less configurations.

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