Description
Return a ratio of ideal atmospheric scale heights.
Atmospheric state formulas depend on absolute temperature, pressure reference, water mass/volume bases and layer assumptions. Local adiabatic, hydrostatic or precipitation terms can illustrate a supplied model without reconstructing an actual profile, validating an instrument or predicting weather hazards.
Return a ratio of ideal atmospheric scale heights.
When to use this tool
Use Atmospheric Scale Height Ratio when checking the stated atmospheric pressure, temperature, humidity or water-basis term.
How to use the tool and how it works
- Enter firstTemperature, secondTemperature, firstMolarMass, secondMolarMass, firstGravity, secondGravity. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read ratio. Use the output convention below.
Return a ratio of ideal atmospheric scale heights. Require all temperatures, molar masses and gravities > 0; ratio = (T1/T2)*(M2/M1)*(g2/g1).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstTemperature | First Temperature | Required. Finite number; strictly above 0. |
| secondTemperature | Second Temperature | Required. Finite number; strictly above 0. |
| firstMolarMass | First Molar Mass | Required. Finite number; strictly above 0. |
| secondMolarMass | Second Molar Mass | Required. Finite number; strictly above 0. |
| firstGravity | First Gravity | Required. Finite number; strictly above 0. |
| secondGravity | Second Gravity | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| ratio | Ratio | Required. Finite number. |
{
"input": {
"firstTemperature": 300,
"secondTemperature": 250,
"firstMolarMass": 29,
"secondMolarMass": 29,
"firstGravity": 10,
"secondGravity": 10
},
"output": {
"ratio": 1.2
}
}Limitations and assumptions
- This assumes H = R*T/(M*g) with compatible molar masses and absolute temperatures; no actual stratified atmosphere is integrated.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use verified observations and an appropriate complete thermodynamic/profile analysis with explicit units, references and moisture assumptions for meteorological conclusions.
References
Similar or alternative tools
- Atmospheric Scale Height Gravity Sensitivity
Return scale height and local gravity derivative.
- Dry Adiabatic Temperature Pressure Ratio
Return dry-adiabatic temperature pressure scaling.