Knowledge (XXG)

Map projection of the triaxial ellipsoid

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53: 259:"Equal-Area Projections of the Triaxial Ellipsoid: First Time Derivation and Implementation of Cylindrical and Azimuthal Projections for Small Solar System Bodies" 312: 44:. Massive objects have sufficient gravity to overcome their own rigidity and usually have an oblate ellipsoid shape. However, minor moons or 303:
Nyrtsov, Maxim V. (2014). "Jacobi Conformal Projection of the Triaxial Ellipsoid: New Projection for Mapping of Small Celestial Bodies".
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Equal-area cylindrical and azimuthal projections of the triaxial ellipsoid were developed by Maxim Nyrtsov.
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Cartographica: The International Journal for Geographic Information and Geovisualization
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Equidistant map projections of a triaxial ellipsoid were developed by Paweł Pędzich.
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Conic Projections of a triaxial ellipsoid were developed by Maxim Nyrtsov.
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may have a tri-axial ellipsoid shape due to rapid rotation (such as
52:. Usually such bodies have irregular shapes. Furthermore, some of 158:(1986). "Conformal Mapping of the Triaxial Ellipsoid". 307:. Springer, Berlin, Heidelberg. pp. 235–246. 60:) or unidirectional strong tidal forces (such as 92:Jacobi conformal projections were described by 8: 36:. In most cases, reference ellipsoids are 210: 32:to the plane. Such a model is called the 22:map projection of the triaxial ellipsoid 147: 7: 14: 106:Geodesics on a triaxial ellipsoid 54:gravitationally rounded objects 226:Nyrtsov, Maxim (Winter 2017). 1: 305:Cartography from Pole to Pole 275:10.1080/00087041.2015.1119471 72:A triaxial equivalent of the 244:10.3138/cart.52.4.2017-0002 172:10.1179/sre.1985.28.217.130 136:Planetary coordinate system 351: 257:Nyrtsov, Maxim V. (2015). 212:10.1515/geocart-2017-0021 46:small solar system bodies 24:maps Earth or some other 263:The Cartographic Journal 94:Carl Gustav Jacob Jacobi 191:Geodesy and Cartography 185:Pędzich, Paweł (2017). 131:Ellipsoidal coordinates 50:hydrostatic equilibrium 203:2017GeCar..66..271P 116:Reference ellipsoid 74:Mercator projection 34:reference ellipsoid 30:triaxial ellipsoid 314:978-3-642-32617-2 76:was developed by 26:astronomical body 342: 319: 318: 300: 294: 293: 291: 289: 254: 248: 247: 223: 217: 216: 214: 182: 176: 175: 166:(217): 130–148. 152: 121:Jacobi ellipsoid 40:, and sometimes 350: 349: 345: 344: 343: 341: 340: 339: 335:Map projections 325: 324: 323: 322: 315: 302: 301: 297: 287: 285: 256: 255: 251: 225: 224: 220: 184: 183: 179: 154: 153: 149: 144: 102: 70: 12: 11: 5: 348: 346: 338: 337: 327: 326: 321: 320: 313: 295: 269:(2): 114–124. 249: 238:(4): 322–331. 218: 197:(2): 271–290. 177: 146: 145: 143: 140: 139: 138: 133: 128: 123: 118: 113: 111:Map projection 108: 101: 98: 78:John P. Snyder 69: 66: 48:are not under 13: 10: 9: 6: 4: 3: 2: 347: 336: 333: 332: 330: 316: 310: 306: 299: 296: 284: 280: 276: 272: 268: 264: 260: 253: 250: 245: 241: 237: 233: 229: 222: 219: 213: 208: 204: 200: 196: 192: 188: 181: 178: 173: 169: 165: 161: 160:Survey Review 157: 156:Snyder, J. P. 151: 148: 141: 137: 134: 132: 129: 127: 124: 122: 119: 117: 114: 112: 109: 107: 104: 103: 99: 97: 95: 90: 87: 84: 81: 79: 75: 67: 65: 63: 59: 55: 51: 47: 43: 39: 35: 31: 28:modeled as a 27: 23: 19: 304: 298: 286:. Retrieved 266: 262: 252: 235: 231: 221: 194: 190: 180: 163: 159: 150: 91: 88: 85: 82: 71: 21: 15: 288:9 February 142:References 283:124797916 38:spheroids 329:Category 126:Latitude 100:See also 68:Examples 199:Bibcode 42:spheres 18:geodesy 311:  281:  58:Haumea 279:S2CID 309:ISBN 290:2019 20:, a 271:doi 240:doi 207:doi 168:doi 64:). 16:In 331:: 277:. 267:52 265:. 261:. 236:52 234:. 230:. 205:. 195:66 193:. 189:. 164:28 162:. 96:. 80:. 62:Io 317:. 292:. 273:: 246:. 242:: 215:. 209:: 201:: 174:. 170::

Index

geodesy
astronomical body
triaxial ellipsoid
reference ellipsoid
spheroids
spheres
small solar system bodies
hydrostatic equilibrium
gravitationally rounded objects
Haumea
Io
Mercator projection
John P. Snyder
Carl Gustav Jacob Jacobi
Geodesics on a triaxial ellipsoid
Map projection
Reference ellipsoid
Jacobi ellipsoid
Latitude
Ellipsoidal coordinates
Planetary coordinate system
Snyder, J. P.
doi
10.1179/sre.1985.28.217.130
"Equidistant map projections of a triaxial ellipsoid with the use of reduced coordinates"
Bibcode
2017GeCar..66..271P
doi
10.1515/geocart-2017-0021
"Conic Projections of the Triaxial Ellipsoid: The Projections for Regional Mapping of Celestial Bodies"

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