Temperature at Altitude Calculator
Calculate temperature at altitude and temperature change based on reference temperature, reference altitude, target altitude, and lapse rate. Temperature at Altitude Calculator helps pilots, engineers, students, and meteorologists estimate atmospheric conditions across elevations.
Highlights
- Estimate atmospheric temperature at any altitude.
- Calculate temperature changes between two elevations.
- Supports Celsius, Fahrenheit, and Kelvin.
- Works with meters, kilometers, feet, miles, and nautical miles.
- Use standard or custom atmospheric lapse rates.
Table of Contents
How Temperature at Altitude Calculator Works?
The Temperature at Altitude Calculator uses a linear atmospheric lapse-rate model. It starts with a known reference temperature and adjusts it according to the difference between the reference altitude and the target altitude.
In this equation, Ttarget is the estimated temperature at the target altitude, Tref is the reference temperature, L is the temperature lapse rate, and htarget and href are the target and reference elevations. A positive lapse rate means temperature decreases as altitude increases. A negative lapse rate represents temperature increasing with altitude.
The calculator also reports the temperature change separately:
For example, with a reference temperature of 15 °C at 0 m, a target altitude of 1.5 km, and a lapse rate of 6.5 °C/km, the estimated temperature change is −9.75 °C and the temperature at the target altitude is 5.25 °C.
| Input or output | Meaning | Supported choices |
|---|---|---|
| Reference Temperature | Known temperature at the reference elevation | °C, °F, K |
| Reference and Target Altitude | Elevations used to determine the altitude difference | m, km, ft, mi, nmi |
| Temperature Lapse Rate | Temperature change per elevation increase | °C/km, °C/m, K/km, K/m, °F/1000 ft, °F/ft |
| Results | Estimated target temperature and temperature difference | °C, °F, K |
Practical Use Cases
Pilots: Pilots can estimate the outside-air temperature at a planned cruising or approach altitude from a known airport or weather-observation temperature. This helps with basic performance planning and anticipating atmospheric conditions.
Engineers: Engineers can model approximate temperature conditions at elevated construction sites, towers, pipelines, or other infrastructure locations when evaluating environmental loads and operating conditions.
Students: Students can use the calculator to verify atmospheric physics exercises involving reference temperature, elevation differences, and standard or custom lapse rates.
Meteorologists: Meteorologists can make a quick first-order estimate of temperature at another elevation using a measured station temperature and an assumed lapse rate before applying more detailed atmospheric data.
Accuracy and Limitations
The calculator provides a linear estimate based only on the supplied reference temperature, two elevations, and lapse rate. It does not model temperature inversions, changing lapse rates, humidity, pressure, cloud layers, solar heating, terrain effects, or local weather systems, so results may differ substantially from observations, especially across large elevation ranges or outside the lower atmosphere. The result is most representative when the selected lapse rate is appropriate for the specific atmospheric layer and the input values are measured accurately; the supported input ranges are −100 to 100 °C, −1000 to 100000 for altitude, and −20 to 20 for the lapse-rate value in its selected form.
Quick Examples
Example #1: Standard Sea-Level Estimate
Estimate the temperature at a moderate elevation using standard atmospheric conditions.
Example #2: High-Altitude Aviation
Calculate atmospheric cooling from a low-altitude reference point to a high cruising altitude.
Example #3: Mountain Weather Comparison
Estimate the temperature change between a mountain station and a higher summit.
