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Method for determining astronomic azimuth

  • US 4,954,833 A
  • Filed: 07/05/1989
  • Issued: 09/04/1990
  • Est. Priority Date: 07/05/1989
  • Status: Expired due to Fees
First Claim
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1. A method for determining astronomic azimuth between a fixed site and a target comprising the steps of:

  • (a) determining geodetic azimuth, α

    , from the fixed site where geodetic azimuth is defined as the angle from true north (mean polar axis of the earth) to the target in a plane normal to an ellipsoidal model of the gravity vector;

    (b) determining at the fixed site a gravity deflection of the vertical, comprising η

    the east component and ξ

    the north component which when combined is the angular difference between an actual gravity vector direction and the ellipsoidal model gravity vector direction; and

    (c) calculating astronomic azimuth, A, defined as the angle from true north to the target in a plane normal to the actual gravity vector, from geodetic azimuth using relationships derived from gravity vertical deflections;





    tan φ

    +(ξ

    sin α



    cos α

    ) cot z where φ

    =geodetic latitude at the fixed site z=geodetic zenith distance (generally, z ≈

    90° and

    cot z ≈

         0)

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