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How to express the angular momentum in non inertial Earth frame like Earth Fixed frame so that angular momentum is conserved ?

Is H = R x mV still valid when R and V are taken in the rotating frame ?

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  • $\begingroup$ Welcome on the Space SE! Your question is not really about the space exploration, I suggest to try physics.stackexchange.com . $\endgroup$
    – peterh
    Commented Aug 24, 2018 at 15:50
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    $\begingroup$ This question is better suited to Physics.SE, and off topic for this site. $\endgroup$
    – Rob
    Commented Aug 24, 2018 at 16:12
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    $\begingroup$ It's a good question for sure. Before you ask there, I'd recommend you look there for existing answers. $\endgroup$
    – uhoh
    Commented Aug 24, 2018 at 17:22

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Yes, $\vec H = \vec r \times (m \vec v)$ is still valid in a rotating frame. That's the definition, after all. Whether this definition has any meaning is a different question. Angular momentum is not necessarily conserved in a rotating frame. Consider, for example, a spacecraft in a geosynchronous orbit that has a non-zero inclination with respect to the equator and a non-zero eccentricity. The angular velocity vector as defined by $\vec r \times (m \vec v)$ points all over the place.

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  • $\begingroup$ I'm glad you were able to squeeze this in just before closure, having a good answer here is a net benefit to the site. I'm not sure this should have been closed. $\endgroup$
    – uhoh
    Commented Aug 25, 2018 at 2:00

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