Wolfram Computation Meets Knowledge

Angular Diameter

The angular diameter or apparent size is an angular measurement describing how large a sphere or circle appears from a given point of view.

The angular diameter varies with the arctangent of the ratio between the diameter of an object and its distance from the viewpoint.

Formula

QuantityVariable["δ", "Angle"] == 2*ArcTan[QuantityVariable["d", "Diameter"]/(2*QuantityVariable["D", "Distance"])]

symbol description physical quantity
δ angular diameter "Angle"
d diameter "Diameter"
D distance to center of object "Distance"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Angular Diameter"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Angular Diameter"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[
 ResourceObject[
  "Angular Diameter"], {QuantityVariable["\[Delta]","Angle"] -> 
   Quantity[0.0460194`, "AngularDegrees"]}]
Out[3]=

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