# Brightness temperature calculation

• IMotelot
In summary, brightness temperature calculation is a method used to estimate the temperature of an object by measuring its emitted electromagnetic radiation. It is calculated using Planck's Law, which takes into account the object's emissivity and spectral radiance. Factors such as emissivity, instrument response, and atmospheric conditions can affect the accuracy of the calculation. It has applications in remote sensing, astronomy, and climate studies. Brightness temperature is different from actual temperature as it measures radiation emission rather than average kinetic energy of particles.
IMotelot
Where to find an exact formula for brightness temperature caculation?
Only Wien's approximation is used everywhere. It is too crude for me.

There is no exact "general" formula.
However, the brightness can be calculated if you know the emissivity of the material (an empirical parameter, which you need look it up in a table).

## What is brightness temperature calculation?

Brightness temperature calculation is a method used to estimate the temperature of an object by measuring the amount of electromagnetic radiation it emits at specific wavelengths. It is often used in remote sensing and astronomy to determine the temperature of celestial objects and the Earth's surface.

## How is brightness temperature calculated?

Brightness temperature is calculated using the Planck's Law, which relates the amount of radiation emitted by an object to its temperature. This law takes into account the object's emissivity, or its ability to emit radiation, and its spectral radiance, which is the amount of radiation emitted at different wavelengths.

## What factors affect the accuracy of brightness temperature calculation?

The accuracy of brightness temperature calculation can be affected by several factors, including the object's emissivity, the spectral response of the measuring instrument, and the atmospheric conditions. Additionally, surface properties such as roughness and composition can also affect the accuracy of the calculation.

## What are the applications of brightness temperature calculation?

Brightness temperature calculation has a wide range of applications in various fields such as remote sensing, astronomy, and climate studies. It is used to measure the temperature of celestial objects such as stars and planets, as well as the Earth's surface temperature, which can provide valuable information about weather patterns and climate change.

## How is brightness temperature different from actual temperature?

Brightness temperature is a measure of the amount of radiation emitted by an object, while actual temperature is a measure of the average kinetic energy of the particles in the object. In some cases, the two temperatures may be the same, but in others, they may differ due to factors such as emissivity, atmospheric conditions, and surface properties.

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