3D shape, cartography, and geoid of Comet 67P C-G |
3D shape, cartography, and geoid of Comet 67P C-G |
Aug 6 2014, 02:11 PM
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Solar System Cartographer Group: Members Posts: 10190 Joined: 5-April 05 From: Canada Member No.: 227 |
Explorer 1 said:
"A 2D map of C-G seems like a tough order; the projection math alone..." Don't worry! If you can put a grid on the surface (as we have seen already), you can warp that grid into any map projection you like. Mapping will be no huge problem - in fact I expect they have a rough one already (I've been playing with one myself). Phil -------------------- ... because the Solar System ain't gonna map itself.
Also to be found posting similar content on https://mastodon.social/@PhilStooke Maps for download (free PD: https://upload.wikimedia.org/wikipedia/comm...Cartography.pdf NOTE: everything created by me which I post on UMSF is considered to be in the public domain (NOT CC, public domain) |
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Aug 10 2014, 09:43 PM
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#2
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Solar System Cartographer Group: Members Posts: 10190 Joined: 5-April 05 From: Canada Member No.: 227 |
The up and down can be incorporated into topography by mapping height (and slope etc.) relative to the equipotential surface (with or without rotational accelerations included - with them, it corresponds to what Peter Thomas has called Dynamic Topography) - there's a literature on this especially by Peter Thomas and colleagues.
There is no one best way to map a non-spherical object, just as there is not for a sphere. In fact, we need lots of maps in different projections, and using different versions of the shape, to explore the range of possibilities, most of which few people have ever thought about in detail. For instance, the shape model used to establish locations and drive the projection might be any of these: True topographic shape Equipotential surface Convex hull Triaxial Ellipsoid (best fit) Sphere - also other possible shapes such as a cylinder could be considered, especially for more elongated objects. For anything but the first, the actual surface would be projected onto the shape model along radii or surface normals (body or model), then that shape drives the map projection. Although simple cylindrical maps contain severe distortions they are very useful as intermediate steps in mapping and they are easy to import into many mapping and visualization systems. My Itokawa mosaic, for instance, includes many distortions and one small area where the mosaic is not unique (radii exit the surface and reconnect with it, as we may see at 67P as well. But there are ways to cope with these issues and you have to start somewhere. "A further thought: is a cartography system the province of ESA, or does it need endorsement by the international organization(s)? One thing seems sure: after the initial spectacular success at 67P/C-G I expect more missions to follow and a sound cartography system seems most useful to have by then." ESA can choose its own method of mapping, no international agency has any role in it except the IAU Working Group for cartographic coordinates and rotational elements - the coordinate system should conform to their guidelines. But mapping - no. The field is still very immature and no standards exist, nor should they until we have much more experience with different methods. Phil -------------------- ... because the Solar System ain't gonna map itself.
Also to be found posting similar content on https://mastodon.social/@PhilStooke Maps for download (free PD: https://upload.wikimedia.org/wikipedia/comm...Cartography.pdf NOTE: everything created by me which I post on UMSF is considered to be in the public domain (NOT CC, public domain) |
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