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Encyclopedia > Specific relative angular momentum

In astrodynamics specific relative angular momentum () of orbiting body () relative to central body () is the relative angular momentum of per unit mass. Specific relative angular momentum plays a pivotal role in definition of orbit equations.


Specific relative angular momentum ()is defined as cross product of position vector and velocity vector of :

where:

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


The magnitude of is denoted as :

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 , which is .



The units of are km2s-1.


  Results from FactBites:
 
Specific relative angular momentum - Wikipedia, the free encyclopedia (272 words)
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, represented by the symbol
is the relative angular momentum of the orbiting body with respect to the central body.
  More results at FactBites »


 

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