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About this calculation: inputs, formula and confidence

How long can I image this target tonight?

Intersect a target altitude interval with available darkness.

Planning estimate

Formula

cos H = (sin a − sin φ sin δ) ÷ (cos φ cos δ)

Latitude, declination and altitude limit determine the geometric hour-angle window.

Where to find the inputs

  • LatitudeSite coordinates
  • DeclinationTarget catalogue
  • Altitude limitAstronomical twilight planner
  • DarknessAstronomical twilight planner

Related

Atmospheric Extinction →Field Rotation →Mosaic Planning →

Imaging window

Find the usable part of the night.

Intersect target altitude time with astronomical darkness and the intended exposure cadence.

Purpose and method

What this calculator does

How long can I image this target tonight? Intersect a target altitude interval with available darkness.

In words: Latitude, declination and altitude limit determine the geometric hour-angle window.

Change a value and the result updates immediately. This geometric planner does not yet model a specific date, horizon profile, Moon separation, weather or meridian-flip downtime.

Working geometry

Altitude and darkness window

The usable imaging interval is the overlap between target altitude and astronomical darkness.

altitude arcdark overlap

Inputs

Site, target and darkness

Unit: °
Unit: °
Unit: °
Unit: h
Unit: min

Calculated now

Usable window

Above altitude limit
10.47 h
Usable dark window
8.00 h
Complete exposure blocks
96
Target geometry
Rises and sets through limit

Governing equation

Altitude hour angle
cosH=(sina−sinφsinδ)/(cosφcosδ)

In words: The altitude limit determines a symmetric hour-angle interval from site latitude and target declination.

Show the working

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

Above altitude limit
10.47 h
Usable dark window
8.00 h
Complete exposure blocks
96
Target geometry
Rises and sets through limit

This geometric planner does not yet model a specific date, horizon profile, Moon separation, weather or meridian-flip downtime.