How Can Measured Satellite Magnitudes Be Converted to Radiant Intensity?

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Jd1431
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Asking how I would convert measured magnitudes to radiant intensity.
I have the measured magnitudes of a satellite object in four filters and I want to convert this into into Radiant Intensity. I was told that if I integrated the solar spectrum over my filter bandpasses , I could obtain the visual mag of the sun in each of these filters and use this to obtain the RI of the satellite (knowing the satellite mag), However I am unsure of the correct relationships/equations needed to do this.

Any help would be appreciated.
 

FAQ: How Can Measured Satellite Magnitudes Be Converted to Radiant Intensity?

What is the relationship between satellite magnitude and radiant intensity?

Satellite magnitude is a measure of the brightness of a satellite as seen from Earth, while radiant intensity is the power emitted by the satellite per unit solid angle. The relationship between the two involves converting the apparent magnitude to flux and then using the known distance to determine the radiant intensity.

How do you convert satellite magnitude to flux?

To convert satellite magnitude to flux, you can use the formula: \( F = F_0 \times 10^{-0.4 \times m} \), where \( F \) is the flux, \( F_0 \) is the zero-point flux (a reference value), and \( m \) is the apparent magnitude of the satellite. The zero-point flux depends on the wavelength or filter used for the observation.

What is the role of distance in converting magnitude to radiant intensity?

The distance between the satellite and the observer is crucial because the observed flux diminishes with the square of the distance. Once you have the flux, the radiant intensity \( I \) can be calculated using \( I = F \times d^2 \), where \( d \) is the distance to the satellite. This formula assumes isotropic emission of radiation.

Are there any atmospheric effects that need to be considered in this conversion?

Yes, atmospheric effects such as absorption and scattering can affect the observed magnitude of a satellite. These effects need to be corrected to obtain an accurate measurement of the satellite's flux. This correction is typically done using atmospheric models or observations of reference stars.

Can this conversion be applied to all types of satellites?

While the basic principles of converting magnitude to radiant intensity are the same, different types of satellites may have different emission characteristics. For example, some satellites may have reflective surfaces, while others may emit thermal radiation. These differences need to be accounted for when interpreting the measured magnitudes and converting them to radiant intensity.

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