Relative angular momentum

Relative angular momentum

In astrodynamics, the relative angular momentum (mathbf{H_2}/{1},!) of an orbiting body (m_2,!) relative to a central body (m_1,!) is the moment of (m_2,!)'s relative linear momentum::mathbf{H_2}/{1}=mathbf{r} imes m_2mathbf{v},!where:
*mathbf{r},! is the orbital position vector of the orbiting body relative to the central body,
*mathbf{v},! is the orbital velocity vector of the orbiting body relative to the central body,
*m_2,! is mass of the orbiting body.

For an 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.

ee also

*Specific relative angular momentum
*Linear momentum
*Momentum

References


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