# rrtheta

Compute relative temperature ratio

## Syntax

``th = rrtheta(t0,mach,g)``

## Description

example

````th = rrtheta(t0,mach,g)` computes temperature relative ratios, `th`, from static temperatures `t0`, Mach numbers `mach`, and specific heat ratios `g`. `t0` must be in kelvin.```

## Examples

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Determine the relative temperature ratio for three temperatures.

`th = rrtheta([273.15 310.9278 373.15], 0.5, 1.4)`
```th = 1×3 0.9953 1.1330 1.3597 ```

Determine the relative temperature ratio for three temperatures at three different conditions.

`th = rrtheta([273.15 310.9278 373.15], [0.5 1 2], [1.4 1.35 1.4])`
```th = 1×3 0.9953 1.2679 2.3310 ```

Determine the relative temperature ratio for three temperatures and three different heat ratios.

`th = rrtheta([273.15 310.9278 373.15], 0.5, [1.4 1.35 1.4])`
```th = 1×3 0.9953 1.1263 1.3597 ```

## Input Arguments

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Static temperatures, specified as a scalar or vector in kelvin.

Example: `[1.4 1.35. 1.4]`

Data Types: `double`

Mach numbers, specified as a scalar or vector.

Example: `[0.5 1 2]`

Data Types: `double`

Specific heat ratios, specified as a scalar or vector.

Example: `[0.5 1 2]`

Data Types: `double`

## Output Arguments

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Relative temperature ratios, returned as a scalar or vector.

## Limitations

For cases in which total temperature ratio is desired, that is, the Mach number is nonzero, the total temperature is calculated assuming perfect gas (with constant molecular weight — with constant pressure specific heat, and constant specific heat ratio — and dry air.

 Pratt & Whitney Aircraft. Aeronautical Vestpocket Handbook. United Technologies, August 1986.