Open Access
Table A.1
Definitions of symbols used in this work.
| Symbol | Name | Description |
|---|---|---|
| a/Rp | Semimajor axis | Orbital semimajor axis normalized by the planetary radius |
| Ag | Geometric albedo | |
| a | Dimensionless fluid number | From Morris et al. (2022) |
| αellip, αDoppler | Amplitude coefficients | Factors of order unity which parameterize the amplitude of ellipsoidal variations and Doppler beaming, respectively |
| C11 | Spherical harmonic power | Power in the lowest-order spherical harmonic coefficient, which describes the day-night temperature contrast in the hmℓ basis |
| Δϕ | Hotspot offset | This parameter approaches the longitudinal offset of the hotspot from the substellar point in the limit that ωdrag » 1, where in this work usually ωdrag = 4.5 |
| δF | Dilution | Flux dilution factor due to neighboring stars within aperture |
| g | Scattering asymmetry parameter | Varies on −1 < g < 1 from pure back scattering to pure forward scattering |
| f | Greenhouse parameter | From Morris et al. (2022) |
| I(θ,ϕ) | Stellar/planetary intensity | Evaluated for a given surface location from Morris et al. (2022) |
| P | Orbital period | Planetary orbital period |
| Prot | Rotation period | Stellar orbital period |
| Rp /R★ | Radius ratio | Ratio of planet to stellar radius |
| ω | Single-scattering albedo | Fraction of light scattered in single scattering event (Heng et al. 2021) |
| ω0 | Minimum single-scattering albedo | Fraction of light scattered in single scattering event from the less reflective surface of the inhomogeneous atmosphere model (Heng et al. 2021) |
| ωdrag | Dimensionless drag parameter | From Morris et al. (2022) |
| θ | Planetary colatitude | Planetary colatitude from (0, π) |
| ϕ | Planetary longitude | Planetary latitude from (0,2π) |
| ϕorb | Orbital phase | Normalized from (0,1) where 0.5 is secondary eclipse |
| ξ | Orbital phase | Normalized from (−π, π) where zero is secondary eclipse |
| 𝓕λ | Response function | Detector/filter response as a function of wavelength |
| 𝓑λ | Planck function | Planck (1901) |
| λe | Occultation model | Agol et al. (2020) star/planet occultation model |
| Fp/F★ | Observed flux ratio | Ratio of planetary to stellar flux |
| Ψ | Integral phase function | From Heng et al. (2021) |
| q | Phase integral | From Heng et al. (2021) |
| x1 | Start longitude | Start longitude of the less-reflective region from Heng et al. (2021) |
| x2 | Stop longitude | Stop longitude of the less-reflective region from Heng et al. (2021) |
 |
Primed start longitude | Reparameterization of the start longitude: sin(x1) |
 |
Primed stop longitude | Reparameterization of the stop longitude: sin(x2) |
| T(θ, ϕ) | Temperature map | Map of the temperature as a function of latitude and longitude |
| Td,n | Hemispheric temperature | Dayside and nightside integrated hemispheric temperature |
| 𝒩 (µ,σ) | Normal distribution | Gaussian with mean µ and standard deviation σ |
| 𝒰 | Uniform distribution | |
| σGP | GP std. dev. | Standard deviation (amplitude) of the Gaussian process |
| ρGP | GP timescale | Typical timescale of oscillations in the Matérn 3/2 kernel |
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