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About this calculation: inputs, formula and confidence

How long can I expose on an alt-az mount?

Convert an alt-az field-rotation rate into edge trailing and exposure limits.

Planning estimate

Formula

Δsedge = rθ

Stars at the field edge move by field radius multiplied by rotation angle.

Where to find the inputs

  • Rotation rateMount/planetarium rotation rate
  • Field radiusField-of-view result
  • Pixel scaleEquipment profile
  • Trail toleranceEquipment profile

Related

Imaging Window →Guiding Exposure →Field of View →

Alt-az field rotation

Keep the field from turning during the exposure.

Translate a local field-rotation rate into edge motion and a sub-exposure ceiling.

Purpose and method

What this calculator does

How long can I expose on an alt-az mount? Convert an alt-az field-rotation rate into edge trailing and exposure limits.

In words: Stars at the field edge move by field radius multiplied by rotation angle.

Change a value and the result updates immediately. Rotation rate changes continuously with target position and is fastest in difficult sky regions. Use the worst rate across the proposed exposure or a derotator.

Working geometry

Rotating field edge

Field rotation moves stars farther at the frame edge and imposes an exposure-time ceiling.

rotating field edgetrail ceiling

Inputs

Rotation, field and sampling

Unit: °/h
Unit: °
Unit: ″/px
Unit: px
Unit: s

Calculated now

Rotation limit

Edge motion rate
0.1745 ″/s
Maximum exposure
8.59 s
Predicted edge trail
3.49 px
Proposed exposure
Exceeds limit

Governing equation

Edge motion from field rotation
Δs=rθ

In words: Linear angular motion at the field edge equals field radius multiplied by rotation angle in radians.

Show the working

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

Edge motion rate
0.1745 ″/s
Maximum exposure
8.59 s
Predicted edge trail
3.49 px
Proposed exposure
Exceeds limit

Rotation rate changes continuously with target position and is fastest in difficult sky regions. Use the worst rate across the proposed exposure or a derotator.