Datum Problems - Map Projections: Cartographic Information Systems - page 536

U 11 = A 1

a 1 ( x 11 + x 11 ,e 2 δE 2 +2 x 12 δB ) ,

(21.77)

U 02 = A 1

a 1 x 12 δL,

U 30 = A 1

a 1 ( x 30 + x 30 ,e 2 δE 2 + x 31 δB ) ,
U 21 =3 A 1

a 1 x 31 δL,

U 12 = A 1

a 1 ( x 12 + x 12 , e 2 δE 2 +3 x 13 δB ) ,
U 03 = A 1

a 1 x 13 δL.

Box 21.21 (Polynomial coecients of a conformal series of Box 21.11 of type Gauss-Krueger
or UTM after a curvilinear transformation, Northing Y ( l−l 0 ,b−b 0 ,ρ,t x ,t y ,t z ,α,β,γ,s,δE 2 ),
second version).

( δE 2 ) 2
2

V 00 = A 1

a 1 [ y 00 + y 00 ,e 2 δE 2 + y 00 ,e 2 e 2

+( y 01 + y 01 ,e 2 δE 2 ) δB

+ y 20 δL 2 + y 02 δB 2 ] ,
V 10 =2 A 1

a 1 y 20 δL,

V 01 = A 1

a 1 ( y 01 + y 10 ,e 2 δE 2 +2 y 02 δB ) ,
V 20 = A 1

a 1 ( y 20 + y 20 ,e 2 δE 2 + y 21 δB ) ,
V 11 =2 A 1

a 1 y 21 δL,

V 02 = A 1

a 1 ( y 02 + y 02 ,e 2 δE 2 +3 y 03 δB ) ,

(21.78)

V 30 =4 A 1

a 1 y 40 δL,

V 21 = A 1

a 1 ( y 21 + y 21 ,e 2 δE 2 +2 y 22 δB ) ,
V 12 =2 A 1

a 1 y 22 δL,

V 03 = A 1

a 1 ( y 03 + y 30 ,e 2 δE 2 +4 y 04 δB ) .