- Tytuł:
- The method of construction of cylindrical and azimuthal equal-area map projections of a tri-axial ellipsoid
- Autorzy:
- Pędzich, P.
- Powiązania:
- https://bibliotekanauki.pl/articles/145365.pdf
- Data publikacji:
- 2018
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
projekcja mapy
zniekształcenie mapy
współrzędne geodezyjne
map projection
distortion in map projection
equal-area map projections
triaxial ellipsoid
reduced coordinates - Opis:
- The paper presents a method of construction of cylindrical and azimuthal equalarea map projections of a triaxial ellipsoid. Equations of a triaxial ellipsoid are a function of reduced coordinates and functions of projections are expressed with use of the normal elliptic integral of the second kind and Jacobian elliptic functions. This solution allows us to use standard methods of solving such integrals and functions. The article also presents functions for the calculation of distortion. The maps illustrate the basic properties of developed map projections. Distortion of areas and lengths are presented on isograms and by Tissot’s indicatrixes with garticules of reduced coordinates. In this paper the author continues his considerations of the application of reduced coordinates to the construction of map projections for equidistant map projections. The developed method can be used in planetary cartography for mapping irregular objects, for which tri-axial ellipsoids have been accepted as reference surfaces. It can also be used to calculate the surface areas of regions located on these objects. The calculations were carried out for a tri-axial ellipsoid with semi-axes a = 267:5 m, b = 147 m, c = 104:5 m accepted as a reference ellipsoid for the Itokawa asteroid.
- Źródło:
-
Geodesy and Cartography; 2018, 67, 2; 271-294
2080-6736
2300-2581 - Pojawia się w:
- Geodesy and Cartography
- Dostawca treści:
- Biblioteka Nauki
Artykuł