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Thread: please help to convert this formula into linear form

  1. #1

    please help to convert this formula into linear form

    Hi everbody,
    Can you please help me to convert this formula into linear form.

    a8457a2a56ba9cc0417aa306f65ac101.png


    Where:
    = Gravitational parameter of parent body 3530.461 km/s
    = The altitude of first orbit (100 km in this case)
    = The altitude of second orbit (200 km in this case)
    = The radius of parent body (600 km in this case).

    Thanks in advance.
    Attached Images Attached Images

  2. #2
    Junior Member
    Join Date
    May 2014
    Posts
    70
    If I'm not mistaken, you want to put dV = f(r1, r2, R) into a linear form.
    dV1 = f(r1 sub 0, r2 sub 0, R sub 0) + f sub r1 * (r1 - r1 sub 0) + f sub r2 * (r2 - r2 sub 0) +
    f sub R * (R - R sub 0).
    where "r1 sub 0" is const you provide for r1, same for "r2 sub 0" and "R sub 0"
    "f sub r1" is the partial derivative with respective to r1, same for "f sub r2" and "f sub R".
    sorry I can not write these symbols.

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