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Radio 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 radio horizon distance assumes a generally line-of-sight propagation, which means that the waves travel in a direct path from the source to the receiver.

The radio horizon distance increases with altitude.

Formula

QuantityVariable["d", "Distance"] == Quantity[1, "NominalEarthEquatorialRadius"]*(1 + Quantity[4/3, "NominalEarthEquatorialRadius"^(-1)]*QuantityVariable["h", "Height"])*Sqrt[1 - (1 + Quantity[4/3, "NominalEarthEquatorialRadius"^(-1)]*QuantityVariable["h", "Height"])^(-2)]

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[
 ResourceObject[
  "Radio Horizon Distance"], {QuantityVariable["d","Distance"] -> 
   Quantity[5, "Kilometers"]}]
Out[3]=

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