Accession Number : AD0664299

Title :   A SOLUTION TO THE INVERSE PROBLEM FOR NEARLY-ANTIPODAL POINTS ON THE EQUATOR OF THE ELLIPSOID OF REVOLUTION.

Descriptive Note : Master's thesis,

Corporate Author : OHIO STATE UNIV COLUMBUS

Personal Author(s) : Thien,George

Report Date : 1967

Pagination or Media Count : 48

Abstract : The problem of determining the route of the geodesic between equatorial, nearly antipodal points on the ellipsoid of revolution has been apparent to geodesists for some time. It is evident that for two points on the equator which are 180 degrees apart, the distance between them is less when measured along the meridian route than measured along the equator. The route of the geodesic between these points is, therefore, trans-polar. On the other hand, when the longitudinal separation of equatorial points is somewhat less than 180 degrees, the geodesic between them follows the equator. As a result, the azimuth of the geodesic changes from ninety degrees to zero degrees as the longitudinal separation of its end points increases to 180 degrees. The description of this change in azimuth is fundamental to the determination of the route of the geodesic. (Author)

Descriptors :   (*GEODESICS, ELLIPSOIDS), EARTH(PLANET), BODIES OF REVOLUTION, TRANSCENDENTAL FUNCTIONS, TRIGONOMETRY, ITERATIONS, MAPPING, THESES, AZIMUTH

Subject Categories : Geodesy

Distribution Statement : APPROVED FOR PUBLIC RELEASE