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About this calculation: inputs, formula and confidence

How much signal will the atmosphere remove?

Estimate pressure-adjusted airmass and transmission loss.

Planning estimate

Formula

Δm = kX

Magnitude loss is the local extinction coefficient multiplied by optical airmass.

Where to find the inputs

  • Target altitudePlanetarium altitude
  • Extinction coefficientLocal photometric measurement
  • Site pressureWeather station

Related

Imaging Window →Filter Exposure Planner →Exposure & SNR →

Atmospheric extinction

Quantify the cost of imaging low.

Estimate pressure-adjusted airmass, magnitude loss and remaining transmission at a target altitude.

Purpose and method

What this calculator does

How much signal will the atmosphere remove? Estimate pressure-adjusted airmass and transmission loss.

In words: Magnitude loss is the local extinction coefficient multiplied by optical airmass.

Change a value and the result updates immediately. The extinction coefficient varies with wavelength, aerosols, humidity and transparency. Use a locally measured coefficient for photometric work.

Working geometry

Atmospheric light path

Lower target altitude lengthens the atmospheric path and reduces received transmission.

long low-altitude pathshort path

Inputs

Altitude and atmosphere

Unit: °
Unit: mag/airmass
Unit: hPa
Unit: hPa

Calculated now

Atmospheric loss

Pressure-adjusted airmass
1.32
Extinction
0.26 mag
Remaining transmission
78.35 %

Governing equation

Extinction through airmass
Δm=kX;T=10⁻⁰·⁴Δᵐ

In words: Magnitude loss equals the local extinction coefficient multiplied by pressure-adjusted optical airmass.

Show the working

The calculator applies the equation above to the values currently entered, without rounding until this display.

Pressure-adjusted airmass
1.32
Extinction
0.26 mag
Remaining transmission
78.35 %

The extinction coefficient varies with wavelength, aerosols, humidity and transparency. Use a locally measured coefficient for photometric work.