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Integrate vector in rotating frame?

  1. Jan 6, 2012 #1
    Hi.
    Ok, so I'm trying to understand the "navigation equations".

    n: frame traveling on earth with vehicle.
    e: frame centered in earth, rotating with it.
    P: Position of vehicle center of gravity.

    v[itex]^{n}_{P/e}[/itex] = (vn,ve,vd): velocity of P w.r.t to e-frame, expressed in n-frame.

    Normally you don't integrate this, but uses vn,ve,vd to calculate the derivative of longitude,latitude,height and then integrate these to get position in longitude,latitude,height.

    BUT, my question is: what do you get if you integrate vn,ve,vd?

    I mean, normally when you integrate vectors:
    - the frame is fixed in space
    - you have a velocity w.r.t this frame
    - and you just integrate each component separately

    But now
    - the frame is rotating
    - velocity is not w.r.t this frame

    Any thoughts?

    /Jonas
     
  2. jcsd
  3. Jan 6, 2012 #2

    RCP

    User Avatar

    Bump. My only thought is I so wish some of the cognoscenti here would comment on your questions Hare. I suspect perhaps a few are brave enough to jump into this rabbit warren with no visible bottom. Certainly not I, but some answers here might be helpful on a related subject. Anyone?
     
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