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    In astrodynamics, the specific relative angular momentum of an orbiting body with respect to a central body is the relative angular momentum of the first body per unit mass. Specific relative angular momentum plays a pivotal role in definition of orbit equations.

    Specific relative angular momentum, represented by the symbol mathbf,!, is defined as the cross product of the position vector mathbf,! and velocity vector mathbf,! of the orbiting body relative to the central body:
    mathbf=mathbf imes mathbf = =

    where:
      mathbf , is the linear momentum of the orbiting body relative to the central body,
      m , is the mass of the orbiting body, and


    Under standard assumptions for an orbiting body in a trajectory around central body at any given time the mathbf,! vector is perpendicular to the osculating orbital plane defined by orbital position and velocity vectors.

    The magnitude of mathbf,! is denoted as h,!:
    h=left|mathbf

    ight|,!

    For an elliptical orbit, it is twice the area per unit time swept out, hence twice the area of the ellipse divided by the orbital period, hence 2pi ab /(2pisqrt) = b sqrt, which is sqrt.


    The units of mathbf,! are m2s-1.


        Specific relative angular momentum
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    Scientus.org Dictionary (Yet Another Wiki) RC : 1.39
    This article is licensed under the GNU Free Documentation License [copyleft]. It uses material from the Wikipedia article "Specific relative angular momentum". link