Expert-level exoplanet science covering detection methods, orbital dynamics, planetary atmospheres, habitability, and the search for biosignatures.
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Transit: planet crosses star, flux decreases by Rp squared over Rs squared, period from timing. Radial velocity: Doppler shift of stellar lines, measures m sin i. Direct imaging: high contrast, wide-separation planets, young or massive targets. Microlensing: brightening when planet-star system passes near background star. Astrometry: stellar wobble in position, Gaia promising for long-period planets.
Transmission spectroscopy: during transit, starlight through atmosphere reveals absorption features. Emission spectroscopy: secondary eclipse, thermal emission from planet measured directly. Phase curves: full orbit photometry, day-night temperature contrast. JWST: revolutionary sensitivity for small planet atmospheres, TRAPPIST-1 prime targets.
Fulton gap: bimodal radius distribution at 1.5 to 2 Earth radii from photoevaporation. Hot Jupiters: close-in giant planets, migrated from outer disk. Super-Earths: 1 to 4 Earth radii, most common type found by Kepler. Occurrence rates: Kepler statistics, eta-Earth for solar-type stars.
Habitable zone: range of orbital distances for surface liquid water. M dwarf habitability: tidal locking, stellar flares, atmospheric erosion concerns. Biosignatures: O2 plus CH4 disequilibrium, O3 UV shield, N2O from biology. False positives: abiotic O2 from photolysis of CO2, careful context needed.
| Pitfall | Fix |
|---|---|
| Confusing equilibrium temperature with surface temperature | Greenhouse effect raises surface temperature significantly |
| Single biosignature as detection | Multiple independent lines of evidence needed |
| Ignoring stellar variability in transit analysis | Starspots can mimic or mask transit signals |
| Earth-centric habitability only | Other types of planets may support life |
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Expert-level abstract algebra knowledge. Use when working with groups, rings, fields, modules, Galois theory, representation theory, or algebraic structures. Also use when the user mentions 'group', 'ring', 'field', 'homomorphism', 'isomorphism', 'normal subgroup', 'quotient group', 'Sylow theorem', 'Galois theory', 'polynomial ring', 'ideal', 'module', 'vector space', or 'representation theory'.
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Expert-level acoustics knowledge. Use when working with sound waves, acoustic propagation, resonance, standing waves, Doppler effect, room acoustics, ultrasound, noise control, musical acoustics, or architectural acoustics. Also use when the user mentions 'sound wave', 'decibel', 'frequency', 'resonance', 'standing wave', 'Doppler effect', 'acoustic impedance', 'reverberation', 'ultrasound', 'noise control', 'harmonics', or 'sound intensity'.
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Expert-level aerodynamics covering subsonic and supersonic flow, lift and drag, airfoil theory, boundary layers, compressible flow, and CFD methods.
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Expert-level air quality engineering covering pollutant sources, atmospheric dispersion, air quality standards, emission controls, and air quality modeling.
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Expert-level aircraft structures covering structural design philosophy, wing and fuselage analysis, fatigue and damage tolerance, composite structures, and certification.
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Expert-level algorithms and complexity theory covering sorting, searching, graph algorithms, dynamic programming, greedy algorithms, NP-completeness, and algorithm design paradigms.
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