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Equation 4 · Comparing the Main Approaches to Planetary Science and Exploration

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θ\theta

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θ\theta

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This relation is why an exoplanet studied by transmission spectroscopy is a single point of light with no visible surface at all — the target subtends an angle far smaller than θ\theta for any existing telescope, so every observation is necessarily a disk-integrated average over the whole illuminated hemisphere. Even for solar-system bodies, where θ\theta is far less limiting because the object is millions rather than trillions of kilometres away, ground- and space-based telescopic resolution still translates into surface features tens to hundreds of kilometres across at best — enough to map a hemisphere’s broad geology or atmospheric bands, not enough to identify an individual boulder or a…
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This relation is why an exoplanet studied by transmission spectroscopy is a single point of light with no visible surface at all — the target subtends an angle far smaller than θ\theta for any existing telescope, so every observation is necessarily a disk-integrated average over the whole illuminated hemisphere. Even for solar-system bodies, where θ\theta is far less limiting because the object is millions rather than trillions of kilometres away, ground- and space-based telescopic resolution still translates into surface features tens to hundreds of kilometres across at best — enough to map a hemisphere’s broad geology or atmospheric bands, not enough to identify an individual boulder or a stratigraphic contact. Remote spectroscopy therefore answers global and atmospheric questions extremely well and answers local, geological questions not at all. It is also, mission for mission, the cheapest of the four approaches per object studied, since one telescope can observe an effectively unlimited number of targets across its operational lifetime rather than being committed to a single destination.

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