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Relative angular momentum

In astrodynamics relative angular momentum (\mathbf{H_{{2}/{1}}}\,\!) of orbiting body (m_2\,\!) relative to central body (m_1\,\!) is the moment (physics) of (m_2\,\!)'s relative linear momentum:

\mathbf{H_{{2}/{1}}}=\mathbf{r}\times m_2\mathbf{v}\,\!

where:

For body orbiting a central body \mathbf{H_{{2}/{1}}}\,\! is always perpendicular to the osculating orbital plane determined by orbital position and velocity vectors.

Uses

In astrodynamics relative angular momentum is usually used to derive specific relative angular momentum (\mathbf{h}\,\!):

\mathbf{h}=\mathbf{H_{{2}/{1}}}/m_2\,\!

where:

  • m_2\,\! is mass of the orbiting body.

See also

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