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The imaging and spectroscopy of habitable worlds will require large-aperturespace-based telescopes, to increase the collecting area and the angularresolution. These large telescopes will necessarily use segmented primaries tofit in a rocket. However, these massively segmented mirrors make high-contrastperformance very difficult to achieve and stabilize, compared to more commonmonolithic primaries. Despite space telescopes operating in a friendlierenvironment than ground-based telescopes, remaining vibrations and resonantmodes on the segments can still deteriorate the performance. In this context,we present the Pair-based Analytical model for Segmented Telescopes Imagingfrom Space (PASTIS) that enables the establishment of a comprehensive errorbudget, both in term of segment alignment and stability. Using this model, onemay evaluate the influence of the segment cophasing and surface qualityevolution on the final images and contrasts, and set up requirements for anygiven mission. One can also identify the dominant modes of a given geometry fora given coronagraphic instrument and design the feedback control systemsaccordingly. In this paper, we first develop and validate this analytical modelby comparing its outputs to the images and contrasts predicted by an end-to-endsimulation. We show that the contrasts predicted using PASTIS are accurateenough compared to the end-to-end propagation results, at the exo-Earthdetection level. Second, we develop a method for a fast and efficient errorbudget in term of segment manufacturing and alignment that takes into accountthe disparities of the segment effects on the final performance. This techniqueis then applied on a specific aperture to provide static and quasi-staticrequirements on each segment for local aberrations. Finally we discusspotential application of this new technique to future missions.

Pair-based Analytical model for Segmented Telescopes Imaging from Space (PASTIS) for sensitivity analysis