Circular Orbit

Velocity

$v=\backslash sqrt\{\backslash mu\backslash over\{r\}\}$

• $r\backslash ,$ is radius of orbit equal to radial distance of orbiting body from central body,
• $\backslash mu\backslash ,$ is standard gravitational parameter.

• Velocity is constant along the path.

Orbital period

$T=\{2\backslash pi\backslash over\{\backslash sqrt\{\backslash mu\}\}\}r^\{3\backslash over\{2\}\}$

• $r\backslash ,$ is orbit radius equal to radial distance of orbiting body from central body,
• $\backslash mu\backslash ,$ is standard gravitational parameter.

• The orbital period is the same as that for an elliptic orbit with the semi-major axis ($a\backslash ,\backslash !$) equal to orbit radius.

Energy

• $v\backslash ,$ is orbital velocity of orbiting body,
• $r\backslash ,$ is radius of orbit equal to radial distance of orbiting body from central body,
• $\backslash mu\backslash ,$ is standard gravitational parameter.

• the potential energy of the system is equal to twice the total energy
• the kinetic energy of the system is equal to minus the total energy

Equation of motion

$r=$

• $r\backslash ,$ is radial distance of orbiting body from central body,
• $h\backslash ,$ is specific angular momentum of the orbiting body,
• $\backslash mu\backslash ,$ is standard gravitational parameter.

Delta-v to reach a circular orbit

See also

• Orbit
• Geostationary orbit
• Areostationary orbit

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