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I want to use "Mars MOLA" { 86 3396000.0 3396000.0 "Mars MOLA" 0 0 0 0 0 0 0 } with my shapefiles.

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2 Answers 2

v10 now supports Well Known Text

You can also send your coordinate system details (.prj and information about the origins of it) to Esri Support to submit it as a new WKID.

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If you can create a .prj file in your text editor (see shape file spec) then you can just copy that file into the Coordinate Systems folder in the ArcGIS Program Files folder. I did this for an old spatial reference.

Looks like there are some parameters for Mars MOLA here: https://isis.astrogeology.usgs.gov/IsisSupport/index.php?topic=1527.0

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