Standard Atmosphere Functions
Updated 19 Oct 2021
Standard atmosphere functions based on the 1976 Standard Atmosphere. Returns density, speed of sound, temperature, pressure, and viscosity for a given altitude input up to 86 km.
Functions are designed to be useful for those designing and analyzing aircraft and have the following features:
•Inputs may be scalar, vector, matrix, or n-dimensional arrays. Functions are vectorized and fast for computing conditions at a large number of points simultaneously. Especially for n-dimensional problems, it is faster than the built-in atmosisa that comes with the aerospace toolbox.
•Temperature offset option for non-standard atmospheres, e.g analyzing hot day aircraft performance.
•Absolute temperature option for non-standard atmospheres, e.g for when OAT is known.
•Either SI or imperial units (and easy to set your preferred default).
•Units consistency can be enforced by using the Physical Units Toolbox, reducing errors and making code clearer.
•Returns everything needed to easily determine important parameters such as dynamic pressure, Mach number, Reynolds number, stagnation temperature, etc.
•Option for geometric instead of geopotential altitude input.
•Density altitude function allows reverse lookup of altitude based on gas properties.
•Stripped-down, troposphere-only function included for when computation speed is a priority.
References: ESDU 77022; www.pdas.com/atmos.html
Sky Sartorius (2023). Standard Atmosphere Functions (https://github.com/sky-s/standard-atmosphere), GitHub. Retrieved .
MATLAB Release Compatibility
Platform CompatibilityWindows macOS Linux
Inspired by: Standard Atmosphere Calculator, Complete 1976 Standard Atmosphere, ISA chart, Physical Units Toolbox, Density altitude calculator
Inspired: Density altitude calculator, Simple propulsion performance estimation, CORE: Conceptual Optimization of Rotorcraft Environment
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Versions that use the GitHub default branch cannot be downloaded
deprecated stdatmo function (use atmos instead)
Merged with densityalt (39325) and moved to GitHub. Absolute temperature capability added.
stdatmo superseded by atmos (stdatmo still included in package because of slightly different input syntax).
capabilities of stdatmodim integrated into main function; documentation and example
Added STDATMODIM wrapper function and updated documentation.
tiny changes to help and input handling; improved vectorization; tested in 2012b
Imperial unit temperature offset now in F/R instead of C/K
fixed error that occurred when using 5 output arguments
Minor changes. Tested in R2010a. Added another example to help.
A bit quicker for troposphere only problems; fixed small units bug.
Added a section such that troposphere-only simple function calls are a bit faster
Final output, Hgeop, changed to ZorH, and is geometric altitude for geopotential input, and geopotential for geometric input. Code made a bit more succinct.
Now substantially faster than earlier versions and ATMOSISA. Cleaned up help and setup for Example 1.
Changed handling of units to be more intuitive and added feature to allow different units for input and output. Earlier version syntax works as before.
Update to references and improved input handling