| Summary: | 碩士 === 國立成功大學 === 測量工程學系 === 86 === In this study, a new theory presented by Grafarend and You to
solve the geodetic problems on the conformal projection maps
is used. Linstedt- Poincare perturbation method is applied to
solve analytically the geodetic problems on the universal
Mercator projection map. The result of the numerical
integration method is used as the indication for estimating the
accuracy of analysis method. It is shown by using numerical
method that the efficiency of computation on the universal
Mercator map is worse than those on the ellipsoid in the
area of high latitude, but it is almost the same in the area
of low latitude. The analysis method presented in this study is
only usable in the area between the latitudes about 45 .
Latitude, azimuth and geodesic length all will have effects
on the accuracy of solutions. As for analysis method, when
initial latitude and geodesic length enlarge and initial
azimuth lessens, it needs to increase perturbation terms and the
order of perturbation solution in order to obtain a
satisfying accuracy. But in this approach, when perturbation
terms is fixed, one order of perturbation solution which has
the best accuracy exists, and it is useless to increase the
order for elevating the accuracy. The circle needed by the
geodesic going back to the initial position will be
researched, and the difference of the corresponding Y-
coordinates will be evaluated, too.
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