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The Expansions of Rectifying Latitude,Conformal Latitude and Authalic Latitude

BIAN Shao-feng,JI Bing(Institute of Navigation,Naval University of Engineering,Wuhan 430033,China)  
The Expansions of rectifying latitude,conformal latitude and authalic latitude in mathematical cartography is researched in the paper.With the help of the powerful computer algebra system,some more accurate expansions of these latitudes are derived.Based on these expansions,the inverse expansions of these latitudes are given in terms of a power series of the eccentricity.Being different from the previous numerical form,all these inverse expansions are symbolically expressed.The investigation in the paper shows that the application of computer algebra system in mathematical cartography not only improves the efficiency and accuracy of formulations but also gives out some more simple symbolic expressions of the inverse expansions.
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