Mathematics

Question

Find an equation that models the path of a satellite if its path is a hyperbole, a = 55,000 km, and c = 81,000 km. Assume that the center of the hyperbole is the origin and the transverse axis is horizontal.

1 Answer

  • Vertex(55,000,0)
    Focus (81,000,0)
    ----
    c^2 = a^2 + b^2
    81000^2 = 55,000^2 + b^2

    ---
    b = 59464.27
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    Form: [x^2/a^2] - [y^2/b^2] = 1
    ------
    x^2/55,000^2 - y^2/59464^2 = 1
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