Calculate Maximum Declination for Polar Alignment Error

Alignment Error arcmins
Guide Star Angle degrees
Focal Length millimeters
Time minutes
Field Rotation microns

Maximum Declination degrees
or

Instructions:
This calculator may be used to determine how close you can image to the celestial pole before field rotation becomes noticeable. For more information on the mathematical model behind this calculator see my article on the subject.

Alignment Error: Enter the total polar alignment error in arcminutes. If you know this value in arcminutes and arcseconds enter it as MM.SS and click "Convert MM.SS".
Guide Star Angle: Enter the approximate worst case angle from the guide star to the farthest edge of the field of view in degrees. If you know this angle in arcminutes, enter the value and click "Convert MM". If you know the angle in degrees, arcminutes and arcseconds enter it as D.MMSS or D.MM and click "Convert D.MMSS".
Focal length: Enter the optical focal length in millimeters.
Time: Enter the total time of the exposure in decimal minutes. If you know the seconds enter that number and click "Convert Secconds" If you know the minutes and seconds enter it as MM.SS and click "Convert MM.SS".
Field Rotation: Enter the maximum star trail length tolerable in microns. Rule of thumb: 1/3rd the smallest star size produced by your optics, or just use the pixel size of your camera. If you know the angle in degrees, arcminutes and arcseconds enter it as D.MMSS and click "Convert D.MMSS".
Calculate: When you have entered and converted all your inputs to the proper units, click "Calculate." The Field Rotation will be calculated and displayed in the field below.