Difference between revisions of "Template:Body data/SOI"

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(Undo revision 79396 by Aru (talk))
(Undo revision 79395 by Aru (talk))
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<includeonly>{{#if: {{Body data|{{{1}}}|parent}}|{{#expr: {{Body data|{{{1}}}|semi-major axis}}*({{Body data|{{{1}}}|mass}}/{{Body data|{{Body data|{{{1}}}|parent}}|mass}})^(2/5)}}|{{{2|}}}}}</includeonly><noinclude>Returns the radius of the sphere of influence of a [[celestial body]] in meters. It uses the <tt>mass</tt> (m, m<sub>parent</sub>), <tt>semi-major axis</tt> (a) and <tt>parent</tt> (m<sub>parent</sub>) parameters with {{Tl|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]]).
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<includeonly>{{#if: {{Body data|{{{1}}}|parent}}|{{#expr: ({{Body data|{{{1}}}|periapsis}}+{{Body data|{{{1}}}|apoapsis}})/2*({{Body data|{{{1}}}|mass}}/{{Body data|{{Body data|{{{1}}}|parent}}|mass}})^(2/5)}}|{{{2|}}}}}</includeonly><noinclude>Returns the radius of the sphere of influence of a [[celestial body]] in meters. It uses the <tt>mass</tt> (m, m<sub>parent</sub>), <tt>apoapsis</tt> (a), <tt>periapsis</tt> (p) and <tt>parent</tt> (m<sub>parent</sub>) parameters with {{Tl|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]]).
:<math>r_\text{SOI} = a \cdot \left(\frac{m}{m_\text{parent}}\right)^\frac{2}{5}</math>
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:<math>r_\text{SOI} = \frac{a + p}{2} \cdot \left(\frac{m}{m_\text{parent}}\right)^\frac{2}{5}</math>
  
 
[[Category:BodyData Math Templates|SOI]]</noinclude>
 
[[Category:BodyData Math Templates|SOI]]</noinclude>

Revision as of 13:57, 28 August 2017

Returns the radius of the sphere of influence of a celestial body in meters. It uses the mass (m, mparent), apoapsis (a), periapsis (p) 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).