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Earth Satellite Period in a Circular Orbit

A circular orbit is the orbit at a fixed distance around any point by an object rotating around a fixed axis. The orbital period is the time it takes the object to revolve around the point, in this case the planet Earth.

The period is proportional to the square root of the height above the center of the Earth (the radius of the Earth plus the altitude) cubed divided by the mass of the Earth and the gravitational constant.

Formula

QuantityVariable["T", "Period"] == 2*Pi*Sqrt[Quantity[1, 1/("EarthMass"*"GravitationalConstant")]*(Quantity[None, "NominalEarthEquatorialRadius"] + QuantityVariable["h", "Height"])^3]

symbol description physical quantity
T period "Period"
h altitude "Height"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Earth Satellite Period in a Circular Orbit"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject["Earth Satellite Period in a Circular Orbit"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Earth Satellite Period in a Circular Orbit"], {QuantityVariable[ "T","Period"] -> Quantity[1.54267`5., "Hours"]}]
Out[3]=

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