Geodetic Mapping - Map Projections: Cartographic Information Systems - page 484

2+ η 0 (21 − 226 t 0 + 105 t 0 )+ η 0 (19 − 34 t 0 +35 t 0 )] ,

1+2 t 0 + η 0
2 N 0

, [30] α = t 0 (1 + 2 t 0 )
6 N 0

t 0
N 0 , [11] α =

[10] α = − − , (20.96)

t 0 (5 + 6 t 0 )
6 N 0

, [13] α = 1+20 t 0 +24 t 0 [12] α = − ,

24 N 0

5+28 t 0 +24 t 0
24 N 0

[13] α = − .

Box 20.6 (Coecients of the solution of the boundary value problem with respect to the
Hamilton portrait η 0 := E 2 / (1

E 2 )cos 2 B 0 , V 0 := 1 + η 0 ,t 0 := tan B 0 ). −

1
V 0 N 0 ,

(10) = N 0 cos B 0 , (10) = (20.97)

(20) = 3 η 0 t 0

2 V 0 N 0 , (20) = t 0 2 N 0 cos 2 B 0 ,

(20.98)

t 0
V 0 N 0 cos B 0 ,

(11) = − (20.99)

2+2 η 0 +9 η 0 t 0
6 V 0

N 0 cos B 0 , (21) = 1 − 3 t 0 + η 0 N 0 cos 2 B 0 , (12) = − (20.100)

6 V 0

(30) = η 0 (1

t 0 + η 0 +4 η 0 t 0 )
2 V 0

t 0

−

6 N 0 cos 3 B 0 ,

N 0 , (30) = − (20.101)

η 0 t 0 (7 3 t 0 +7 η 0 +12 η 0 t 0 )

6 V 0

−

(13) = − N 0 cos B 0 ,

t 0 (1 − t 0 + η 0 )
6 V 0

N 0 cos 3 B 0 ,

(31) = − (20.102)

t 0 + η 0 )
24

(40) = t 0 (1

−

N 0 cos 4 B 0 ,

(20.103)

t 0 (4 + 3 η 0 +9 η 0 t 0 − η 0 )

(22) = − N 0 cos 2 B 0 ,

(20.104)

12 V 0