Choosing a Suitable Projection for Navigation in the Arctic

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http://www.iho.int/mtg_docs/rhc/ArHC/ArHC3/ARHC3-3.2.7_Suitable_projections_for_the_Arctic.pdf

Table of contents

1 INTRODUCTION............................................................................................................... 3

1.1 Projections for the Arctic................................................................................................ 4

1.2 Analytical approach for the selection of a suitable arctic projection................................. 7

1.2.1 The criterion of minimization and distribution of distortions........................................... 7

1.2.2 The criterion of the shape of Great Circles..................................................................... 8

1.2.3 The criterion of Meridian representation........................................................................ 9

1.2.4 Scale Variation............................................................................................................ 9

1.2.5 Tissot’s Indicatrix...................................................................................................... 10

1.2.6 Calculations ............................................................................................................. 10

2 STUDY OF MAP PROJECTION DISTORTIONS FOR THE ARCTIC REGION .............................11

2.1 Cylindrical Projections....................................................................................................11

2.2 Conic Projections.......................................................................................................... 22

2.3 Azimuthal projections................................................................................................... 30

2.4 Study of map projections for the sub-Arctic Regions ...................................................... 42

2.4.1 Conic Projections ...................................................................................................... 42

2.4.2 Cylindrical Projections................................................................................................ 49

2.5 Study of the shape of Great Circles/ Rhumb Lines along with the shape of Graticule lines ..57

3 CONCLUSIONS ............................................................................................................... 66

4 REFERENCES ................................................................................................................. 67

5 TABLE OF FIGURES ........................................................................................................ 68