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1 results

  • Circle Approximations on Spheroids

  • Young Joon Ahn, Jian Cui, Christoph Hoffmann
  • Journal:
    The Journal of Navigation / Volume 64 / Issue 4 / October 2011
    Published online by Cambridge University Press:
    12 September 2011, pp. 739-749
    Print publication:
    October 2011

  • We present an approximation method for geodesic circles on a spheroid. Our ap­proximation curve is the intersection of two spheroids whose axes are parallel, and it interpolates four points of the geodesic circle. Our approximation method has two merits. One is that the approximation curve can be obtained algebraically, and the other is that the approximation error is very small. For example, our approximation of a circle of radius 1000 km on the Earth has error 1·13 cm or less. We analyze the error of our approximation using the Hausdorff distance and confirm it by a geodesic distance computation.