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Escape Velocity

The escape velocity is the minimum speed needed for an object to escape from the gravitational influence of a massive body.

The escape velocity is proportional to the square root of the product of the gravitational constant and the mass of the massive body divided by its radius.

Formula

QuantityVariable["v", "Speed"] == Sqrt[2]*Sqrt[(Quantity[1, "GravitationalConstant"]*QuantityVariable["m", "Mass"])/QuantityVariable["r", "Radius"]]

symbol description physical quantity
v speed "Speed"
m mass "Mass"
r radius "Radius"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Escape Velocity"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Escape Velocity"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Escape Velocity"], {QuantityVariable["r","Radius"] -> Quantity[3958.761`, "Miles"]}]
Out[3]=

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