I-2 The optimal polycylindric projection of conformal type (UPC) 633
∆Φ = 3
◦
6
◦
12
◦
18
◦
24
◦
30
◦
∆Φ = 1.5
◦
3
◦ 6
◦ 9
◦ 12
◦ 15
◦ 18
◦
Φ
Φ
21
◦ 24
◦ 27
◦ 30
◦ 33
◦
ˆ
ρ 0
ˆ
ρ 0
0.9998
0.9996
0.9994
0.9992
0.9998
0.9996
0.9994
0.9992
Fig. I.2. Airy optimal dilatation factor ˆ
ρ 0 for a symmetric strip, generalized UPC. ˆ
ρ 0 (Φ 0 , ∆Φ): Airy optimal
dilatation factor ˆ
ρ 0 as a function of the chosen parallel circle latitude Φ 0 and strip width ∆Φ, WGS 84.
Symmetric strip [Λ W = Λ 0 − ∆Λ, Λ 0 + ∆Λ = Λ E ] × [Φ S = Φ 0 − ∆Φ, Φ 0 + ∆Φ = Φ N ].
Table I.2. Airy optimal dilatation factor ˆ
ρ 0 for a symmetric strip, generalized UPC, WGS 84. Symmetric
strip [Λ W = Λ 0 − ∆Λ, Λ 0 + ∆Λ = Λ E ] × [Φ S = Φ 0 − ∆Φ, Φ 0 + ∆Φ = Φ N ], strip width 3
◦ , ∆Φ = 1.5
◦ .
zone
Φ 0
Φ S
Φ N
ˆ
ρ 0
zone
Φ 0
Φ S
Φ N
ˆ
ρ 0
0
0
◦
−1.5
◦
+1.5
◦
0.999 887
±1
±3
◦
±1.5
◦
±4.5
◦
0.999 886
±2
±6
◦
±4.5
◦
±7.5
◦
0.999 884
±3
±9
◦
±7.5
◦
±10.5
◦
0.999 881
±4
±12
◦
±10.5
◦
±13.5
◦
0.999 876
±5
±15
◦
±13.5
◦
±16.5
◦
0.999 870
±6
±18
◦
±16.5
◦
±19.5
◦
0.999 862
±7
±21
◦
±19.5
◦
±22.5
◦
0.999 852
±8
±24
◦
±22.5
◦
±25.5
◦
0.999 840
±9
±27
◦
±25.5
◦
±28.5
◦
0.999 826
±10
±30
◦
±28.5
◦
±31.5
◦
0.999 809
±11
±33
◦
±31.5
◦
±34.5
◦
0.999 789
±12
±36
◦
±34.5
◦
±37.5
◦
0.999 764
±13
±39
◦
±37.5
◦
±40.5
◦
0.999 735
±14
±42
◦
±40.5
◦
±43.5
◦
0.999 699
±15
±45
◦
±43.5
◦
±46.5
◦
0.999 656
±16
±48
◦
±46.5
◦
±49.5
◦
0.999 602
±17
±51
◦
±49.5
◦
±52.5
◦
0.999 535
±18
±54
◦
±52.5
◦
±55.5
◦
0.999 450
±19
±57
◦
±55.5
◦
±58.5
◦
0.999 341
±20
±60
◦
±58.5
◦
±61.5
◦
0.999 197
±21
±63
◦
±61.5
◦
±64.5
◦
0.999 002
±22
±66
◦
±64.5
◦
±67.5
◦
0.998 729
±23
±69
◦
±67.5
◦
±70.5
◦
0.998 330
±24
±72
◦
±70.5
◦
±73.5
◦
0.997 714
±25
±75
◦
±73.5
◦
±76.5
◦
0.996 691
±26
±78
◦
±76.5
◦
±79.5
◦
0.994 804
±27
±81
◦
±79.5
◦
±82.5
◦
0.990 705
±28
±84
◦
±82.5
◦
±85.5
◦
0.978 842
±29
±87
◦
±85.5
◦
±88.5
◦
0.910 273
Table I.3. Airy optimal dilatation factor ˆ
ρ 0 for a symmetric strip, generalized UPC, WGS 84. Symmetric
strip [Λ W = Λ 0 − ∆Λ, Λ 0 + ∆Λ = Λ E ] × [Φ S = Φ 0 − ∆Φ, Φ 0 + ∆Φ = Φ N ], strip width 6
◦ , ∆Φ = 3
◦ .
zone
Φ 0
Φ S
Φ N
ˆ
ρ 0
zone
Φ 0
Φ S
Φ N
ˆ
ρ 0
0
0
◦
−3
◦
+3
◦
0.999 546
±1
±6
◦
±3
◦
±9
◦
0.999 536
±2
±12
◦
±9
◦
±15
◦
0.999 504
±3
±18
◦
±15
◦
±21
◦
0.999 448
±4
±24
◦
±21
◦
±27
◦
0.999 362
±5
±30
◦
±27
◦
±33
◦
0.999 236
±6
±36
◦
±33
◦
±39
◦
0.999 057
±7
±42
◦
±39
◦
±45
◦
0.998 796
±8
±48
◦
±45
◦
±51
◦
0.998 407
±9
±54
◦
±51
◦
±57
◦
0.997 799
±10
±60
◦
±57
◦
±63
◦
0.996 782
±11
±66
◦
±63
◦
±69
◦
0.994 899
±12
±72
◦
±69
◦
±75
◦
0.990 804
±13
±78
◦
±75
◦
±81
◦
0.978 942
±14
±84
◦
±81
◦
±87
◦
0.910 374