Astronomy Angular Size

A geometry KPI for disks/separations. Distinct from parallax distance.

Angular size (rad) = physical size ÷ distance.

Tip: Keep “Physical Size s” and “Distance d” on the same basis (period, units, and population) before calculating Astronomy Angular Size.

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Small-angle angular size in radians is physical size divided by distance.

Enter size and distance in matching length units.

Object size
Distance same units

Angular Size

Understanding Astronomy Angular Size

How we calculate. Angular size (rad) = physical size ÷ distance. The form uses the same arithmetic as the worked examples on this page. See our methodology and accuracy policy.

Real-world scenario: A typical Astronomy Angular Size case uses physical size s 1400000 and distance d 150000000. Enter the same figures below to reproduce the worked path.

What is Astronomy Angular Size?

A geometry KPI for disks/separations. Distinct from parallax distance.

  • Same length units
  • Small-angle model
  • d > 0

The Formula

Angular Size (radians)
θ = s ÷ d

Worked Example

Scenario: Size 1.4×10⁶ km; distance 1.5×10⁸ km.
Step 1: 1.4e6 ÷ 1.5e8 ≈ 0.009333
Answer: Angular size is approximately 0.009333 rad.

Common Use Cases

  • Homework: Sun/Moon angular size
  • Lab: plate scales
  • Study: convert to arcseconds if needed (×206265)

Pro Tips

  • Match units
  • Result is radians
  • Small-angle only

Limitations: Astronomy Angular Size results are educational astronomy study aids—not navigation, mission planning, or professional observing advice. Confirm constants and units with your textbook or instructor.

FAQ

How do I get arcseconds?

Multiply radians by 206265 for a common teaching conversion.

Same as parallax?

Parallax finds distance from angle; this page finds angle from size and distance.

Authoritative References

For astronomy study concepts, consult:

  • OpenStax Astronomy — free textbook reference
  • NASA — mission and outreach context
  • IAU — astronomical constants and naming