Wolfram Computation Meets Knowledge

Circular Orbit Velocity

The circular orbit velocity describes the speed of an object in a stable orbit at a fixed distance around another body.

The circular orbit velocity equals the square root of the product of the gravitational constant and the mass of the orbit center divided by the distance to the center of the orbit (which is the sum of the altitude above the body being orbited and the radius of that body).

Formula

QuantityVariable[Subscript["v", "c"], "Name" -> "circular velocity"] == Sqrt[(Quantity[1, "GravitationalConstant"]*QuantityVariable["m", "Name" -> "mass of orbit center"])/(QuantityVariable["h", "Name" -> "altitude"] + QuantityVariable[Subscript["r", "cb"], "Name" -> "radius of central body"])]

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Circular Orbit Velocity"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Circular Orbit Velocity"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ResourceObject["Circular Orbit Velocity"], {}]
Out[3]=

Source Metadata

Publisher Information