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Slant Range to Aircraft

Slant range is the line-of-sight distance between two points (in this case, one point is an aircraft) that are not at the same level relative to a specific datum.

The slant range increases with the size of the look angle and the altitude.

Formula

QuantityVariable[Subscript["R", "s"], "Length"] == Quantity[-1, "NominalEarthEquatorialRadius"]*Sin[QuantityVariable["θ", "Angle"]] + Sqrt[Quantity[2, "NominalEarthEquatorialRadius"]*QuantityVariable["h", "Length"] + QuantityVariable["h", "Length"]^2 + Quantity[1, "NominalEarthEquatorialRadius"^2]*Sin[QuantityVariable["θ", "Angle"]]^2]

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Slant Range to Aircraft"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Slant Range to Aircraft"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject["Slant Range to Aircraft"], {QuantityVariable[ \!\(\*SubscriptBox[\("R"\), \("s"\)]\),"Length"] -> Quantity[5000, "Meters"]}]
Out[3]=

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