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Horizon Distance

The horizon or skyline is the apparent line that separates earth from sky, the line that divides all visible directions into two categories: those that intersect the Earth's surface, and those that do not.

The horizon distance increases with altitude and the radius of the planet.

Formula

QuantityVariable["d", "Distance"] == Sqrt[1 - (1 + QuantityVariable["h", "Height"]/QuantityVariable["r", "Radius"])^(-2)]*(1 + QuantityVariable["h", "Height"]/QuantityVariable["r", "Radius"])*QuantityVariable["r", "Radius"]

symbol description physical quantity
d horizon distance "Distance"
h altitude "Height"
r planetary radius "Radius"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Horizon Distance"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Horizon Distance"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Horizon Distance"], {QuantityVariable["r","Radius"] -> None, QuantityVariable["h","Height"] -> Quantity[6, "Feet"]}]
Out[3]=

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