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To add on to this, adaptive optics systems can be used to correct for atmospheric turbulence. The latest adaptive optics instruments have been able to achieve diffraction-limited imaging (i.e. comparable to if the telescope was in space) with 8 meter telescopes in the near-infrared (1-2 microns), resulting in ~2e-7 radian resolution. Pushing this to larger telescopes and shorter wavelengths will improve this resolution.

The bigger problem is actually blocking out the glare of the host star. Especially for a planet this close in angular separation to its host star, blocking out the light from the host star is challenging and requires sophisticated instrumentation (e.g. coronagraphs). The problem with the more sophisticated instrumentation is that you also lose throughput (when trying to block out stellar light, you also end up blocking a lot of light from the planet), meaning we will need a lot of telescope time in addition to sophisticated instrumentation to eventually image this planet.



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