Elipticitet

Elipticitet ili spljoštenost obrtnog sferoida predstavlja meru pomeranja pola prema ekvatoru.[1][2][3][4][5]

x f = ver ( o ε ) = 2 sin 2 ⁡ ( o ε 2 ) = 1 − cos ⁡ ( o ε ) = a − b a ; {\displaystyle {}_{\color {white}x}f={\mbox{ver}}(o\!\varepsilon )=2\sin ^{2}\left({\frac {o\!\varepsilon }{2}}\right)=1-\cos(o\!\varepsilon )={\frac {a-b}{a}};\,\!}
f ′ = tan 2 ⁡ ( o ε 2 ) = 1 − cos ⁡ ( o ε ) 1 + cos ⁡ ( o ε ) = a − b a + b . {\displaystyle f'=\tan ^{2}\left({\frac {o\!\varepsilon }{2}}\right)={\frac {1-\cos(o\!\varepsilon )}{1+\cos(o\!\varepsilon )}}={\frac {a-b}{a+b}}.\,\!}

Reflist

  1. ↑ Maling, Derek Hylton (1992). Coordinate Systems and Map Projections (2nd izd.). Oxford; New York: Pergamon Press. ISBN 0-08-037233-3. 
  2. ↑ Snyder, John P. (1987). Map Projections: A Working Manual. U.S. Geological Survey Professional Paper. 1395. Washington, D.C.: United States Government Printing Office. Arhivirano iz originala na datum 2011-05-01. Pristupljeno 2014-03-17. 
  3. ↑ Torge, W. (2001). Geodesy (3rd edition). de Gruyter. ISBN 3-11-017072-8
  4. ↑ Osborne, P. (2008). The Mercator Projections Arhivirano 2012-01-18 na Wayback Machine-u Chapter 5.
  5. ↑ Rapp, Richard H. (1991). Geometric Geodesy, Part I. Dept. of Geodetic Science and Surveying, Ohio State Univ., Columbus, Ohio. [1]