Albedo
Definition: The fraction of incident radiation reflected by a planet or atmosphere.
Why it matters and connects: Bond albedo controls total absorbed sunlight and therefore enters the first-order planetary energy budget.
Boundary or common confusion: A bright planet can still be hot if its atmosphere traps outgoing infrared radiation; albedo alone is not surface temperature.
\(F_{\rm abs}=(1-A)S/4\)
Effective temperature
Definition: The blackbody temperature required to emit the same total thermal power per unit area as a planet emits to space.
Why it matters and connects: It connects absorbed sunlight to outgoing infrared radiation and provides a baseline for diagnosing greenhouse warming.
Boundary or common confusion: It is not generally the surface temperature because emission to space may originate high in the atmosphere.
\(\sigma T_{\rm eff}^4=(1-A)S/4\)
Greenhouse effect
Definition: Surface and lower-atmosphere warming that occurs when an atmosphere absorbs and re-emits outgoing infrared radiation, raising the altitude from which energy escapes to space.
Why it matters and connects: It explains why Venus, Earth, and Mars do not follow distance from the Sun alone.
Boundary or common confusion: The effect is not the same as ozone depletion or simply 'trapping heat'; convection, clouds, and spectral absorption also matter.
Atmospheric scale height
Definition: The height over which pressure or density falls by a factor of \(e\) in an isothermal hydrostatic atmosphere.
Why it matters and connects: It links temperature, molecular mass, and gravity to atmospheric thickness and to transit or occultation signals.
Boundary or common confusion: Real atmospheres are not perfectly isothermal and may depart from hydrostatic balance during weather or escape.
\(H=kT/(mg)\)
Escape velocity
Definition: The minimum speed needed to coast away from a body's gravity without further propulsion in an ideal two-body model.
Why it matters and connects: Compared with molecular thermal speeds, it helps assess long-term atmospheric retention.
Boundary or common confusion: It is not a sharp atmospheric-loss threshold; collisions, upper-atmosphere heating, nonthermal processes, and stellar wind matter.
\(v_{\rm esc}=\sqrt{2GM/R}\)
Runaway greenhouse
Definition: A climate state in which positive feedback causes increasing surface evaporation and infrared opacity until oceans cannot remain stable at the surface.
Why it matters and connects: It provides a physical framework for understanding how a wet planet might evolve toward extreme heat.
Boundary or common confusion: It is not simply a strong ordinary greenhouse and should not be inferred from high temperature alone.