# Template:Body data/SOI

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Returns the radius of the sphere of influence of a celestial body in meters. It uses the mass (m, mparent), semi-major axis and parent (mparent) parameters with {{Body data}} for the given body. Returns the second parameter, an empty string when not set, if the body has no parent object (like Kerbol).

Due to latex being unable to update, this graphic uses apoapsis (a) and periapsis (p).

${\displaystyle r_{\text{SOI}}={\frac {a+p}{2}}\cdot \left({\frac {m}{m_{\text{parent}}}}\right)^{\frac {2}{5}}}$