Exoplanet Equilibrium Temperature

Dec lared absorbed stellar flux reradiation-area convention (4 whole sphere,2 day side,1 sub stellar), unit emissivity, no greenhouse/actual surface temperature. Model only, not an ephemeris, measured stellar identity or observational guarantee.

Description

Equilibrium temperature balances absorbed and reradiated energy in an ideal model.

Equilibrium temperature balances absorbed and reradiated energy in an ideal model.1

Albedo and reradiation area do not by themselves specify a planetary surface temperature. Use Exoplanet Equilibrium Temperature to evaluate the supplied inputs under the model explained below.

When to use Exoplanet Equilibrium Temperature

Use Exoplanet Equilibrium Temperature to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Exoplanet Equilibrium Temperature and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Stellar temperature kelvin, Stellar radius same units, Orbital distance same units, Bond albedo, Caller reradiation area factor using the field table and validation rules below, then run the tool.
  3. Read Blackbody equilibrium kelvin; interpret the units, signs, ordering and unknown-value placeholders described below.
  4. Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
Input fieldMeaningValue typeRequirement
stellarTemperatureKelvinStellar temperature kelvinnumberRequired; constraints below
stellarRadiusSameUnitsStellar radius same unitsnumberRequired; constraints below
orbitalDistanceSameUnitsOrbital distance same unitsnumberRequired; constraints below
bondAlbedoBond albedonumberRequired; constraints below
callerReradiationAreaFactorCaller reradiation area factornumberRequired; constraints below

Enter positive stellar temperature in K, positive stellar radius and larger orbital distance in common units, Bond albedo from 0 to 1 and a positive caller reradiation-area factor. Return Tstar×sqrt(Rstar/d)×((1−albedo)/factor)^(1/4). Albedo 1 returns zero. No greenhouse, internal heat or default redistribution factor is supplied.

equilibriumK=Tstar×sqrt(Rstar/orbitalDistance)×((1−albedo)/callerAreaFactor)^(1/4)

Use the field order, units and branch conditions described above.

Output fieldMeaningValue type
blackbodyEquilibriumKelvinBlackbody equilibrium kelvinnumber
json
{
  "input": {
    "stellarTemperatureKelvin": 1000,
    "stellarRadiusSameUnits": 1,
    "orbitalDistanceSameUnits": 10,
    "bondAlbedo": 0.2,
    "callerReradiationAreaFactor": 4
  },
  "output": {
    "blackbodyEquilibriumKelvin": 211.47425268811284
  }
}

Limitations and assumptions

Albedo and reradiation area do not by themselves specify a planetary surface temperature. Apply the exact scope and assumptions explained above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.

Alternative or Complementary methods

Use Exoplanet Transit Depth Percent for a related task: An ideal opaque transit blocks a fraction of a uniformly bright stellar disk.

Use Exoplanet Period From Transit Spacing for a related task: Transit timing needs cycle identifiers to distinguish neighboring events from missed cycles.

References

  1. Exoplanet Equilibrium Temperature — tool.io

Similar or alternative tools

Don't forget to set a bookmark for tool.io!
Privacy | Imprint | Cookies