Angular separation and position angle calculator

Compute angular distance and Position Angle (PA) between two sky coordinates. Calculated in your browser. Inputs are not sent.

Other languages 日本語 | English | 简体中文 | 繁體中文 | Español | Português (Brasil) | Bahasa Indonesia | Français | हिन्दी | العربية

Linked astronomy tools

Quick start (3 steps)

  1. Choose coordinate input unit (hms/dms or deg).
  2. Enter point A and point B (Right Ascension and Declination (RA/Dec)).
  3. Compute separation and Position Angle (PA) (north=0°, eastward positive).

Inputs

Results

Separation (deg)
Separation (arcmin)
Separation (arcsec)
Position angle PA (deg)

This tool runs in your browser. Inputs are not sent.

Interpretation & notes

How to use angular separation effectively

Enter both sky positions in the same unit system, then compute once before changing anything. Keep the first pair as your baseline so it is clear which coordinate change altered the separation or position angle.

What to check first

Confirm whether you are entering sexagesimal values or decimal degrees. A mismatch between those two formats is the most common reason for an unexpected result.

How to read the output

Use the degree, arcminute, and arcsecond values as different views of the same separation. The position angle is measured from celestial north toward the east, normalized to 0-360°.

Common mistakes to avoid

See also

FAQ

How is separation measured on the celestial sphere?

Separation is the great-circle distance between two sky positions, so it accounts for celestial-coordinate curvature rather than flat chart distance.

Why is PA normalized to 0-360 degrees?

Position angle is an orientation measured from celestial north toward east. Wrapping to 0-360 degrees keeps one unambiguous direction format.

What should I check before entering coordinates?

Confirm that both positions use the same format. Do not mix right ascension in hours with decimal-degree input unless the field explicitly expects it.

Why can the position angle change when I swap point A and point B?

Separation stays the same, but position angle is directional. Measuring from A to B is not the same orientation as measuring from B to A.

Which related astronomy tool should I open next?

Use RA/Dec to Altitude and Azimuth (Alt/Az) when you need horizon coordinates, sidereal time when the observing time is the question, and finder-chart tools when you need to place the separation on a chart.