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Missions to directly detect exoplanets with a coronagraph, such as the potential Habitable Exoplanet (HabEx) mission, require an optical telescope with extreme wavefront stability. The key systems engineering question is: ‘How stable?’ The poetic answer is 10 picometers per 10 minutes. But, what is the actual spatial distribution of this error allocation? This paper defines a science-driven systems-engineering process to derive the telescope’s wavefront stability error budget specification from the coronagraph’s performance; reviews previous studies into coronagraph sensitivity to wavefront error instability; and demonstrates the method by comparing the performance of coronagraph telescope combinations.
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H. Philip Stahl, Bijan Nemati, Mark T. Stahl, "Deriving telescope Wavefront Error (WFE) stability error budget from coronagraph performance," Proc. SPIE 11450, Modeling, Systems Engineering, and Project Management for Astronomy IX, 114502Z (13 December 2020); https://doi.org/10.1117/12.2562818