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Possibility of detection of Earth-like exo-planets and recognition of their surface areas with a hypertelescope

机译：用超望远镜检测类地球系行星的可能性并识别其表面积

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摘要

A possible variant of the direct observation of Earth-like planets with the help of a hypertelescope containing circular and/or annular collecting mirrors is considered. Analytical expressions describing the imaging in the focal plane are presented. They give the opportunity to estimate the influence of the photodetector pixel exposure time and accuracy parameters of the mirror control/stabilization system on the quality of the image in the plane of the photodetector and to evaluate a signal-to-noise ratio (SNR) at its output. Numerical results obtained for the hypertelescope containing 126 (for detection) and 1164 (for recognition) identical annular mirrors of diameter 1 m illustrate an opportunity of detecting an Earth-like exo-planet moving around a Sun-like star at a distance of 1 au and recognizing its surface area at a distance of 1 pc on conditions that some technique blocking out the radiation from the exo-planet's star is used. Some dependencies of the corresponding SNR values on the pixel exposure time and the accuracy parameters of the mirror stabilization system are shown. Several typical aperture configurations are investigated for the case of recognition and the most appropriate configuration is defined.
机译：考虑了借助于包含圆形和/或环形收集镜的超望远镜直接观察类地行星的可能变体。给出了描述焦平面成像的解析表达式。他们提供了机会来估计光电探测器像素曝光时间和反射镜控制/稳定系统的精度参数对光电探测器平面中图像质量的影响，并评估信噪比（SNR）它的输出。包含126个（用于检测）和1164个（用于识别）直径为1 m的相同环形镜的超望远镜获得的数值结果说明，有可能检测到围绕类太阳的恒星绕1 au的距离移动的类地球系行星并在使用某种技术阻止系外行星恒星辐射的条件下，以1 pc的距离识别其表面积。示出了相应的SNR值对像素曝光时间和镜稳定系统的精度参数的一些依赖性。针对识别的情况，研究了几种典型的光圈配置，并定义了最合适的配置。

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