question about coordinate system for an image in ArcMap

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I am a beginner with ArcMap. I have a problem with setting coordinate system for my image. I am using an add-in whichcreates shapefiles .shp (craters, area), grids, plots and etc. However I get errors (like the ones attached). Basically how do Icorrectly set the coordinates so that ArcMap correctly interprets position of the shapefile on the map?

I know the number of columns and rows i.e. pixels, of my image and I know the resolution of my image (0.82m/px).Link: http://wms.lroc.asu.edu/lroc/view_lroc/LRO-L-LROC-3-CDR-V1.0/M1142616950LC (CDR PTIF (multi-resolution, lossy compression))

I would be glad for concrete answers (specific to my situation) and step by step solution. Please no links to guides or ArcGIS help :) . I have already read but to no avail...

Thank you!





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