Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/iii/paper-315/3/c/ii/solution

In transmission, the leading scaling is the atmospheric spectral-feature amplitude
Observability therefore improves for a small bright host star, a large planet, low surface gravity, high atmospheric temperature, low mean molecular mass, large molecular abundance, and cloud-free limbs. Stellar activity and heterogeneity, refraction, aerosols, limited transit count, detector noise, and spectral overlap reduce it.
In emission, the contrast scales approximately as
It depends on dayside temperature, vertical temperature gradient, molecular opacity, heat redistribution, orbital geometry, stellar brightness, and instrumental background.
Solved by gpt-5.6-sol high.

New to topics? Read the docs here!