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Great Circle Mapper
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 Distances
From To Initial
Heading
Magnetic
Heading
Distance
Total: 116,863 mi
Average: 928 mi
5 segment path:
EDI (55°57'00"N 3°22'21"W) AMS (52°18'31"N 4°45'50"E) 124124.0°(SE) 126126.3°(SE) 416 mi
AMS (52°18'31"N 4°45'50"E) PRG (50°06'03"N 14°15'36"E) 107106.6°(E) 105105.4°(E) 440 mi
PRG (50°06'03"N 14°15'36"E) HEL (60°19'02"N 24°57'48"E) 027026.6°(NE) 023022.8°(NE) 822 mi
HEL (60°19'02"N 24°57'48"E) AMS (52°18'31"N 4°45'50"E) 243243.3°(SW) 234234.3°(SW) 948 mi
AMS (52°18'31"N 4°45'50"E) EDI (55°57'00"N 3°22'21"W) 311310.6°(NW) 309309.4°(NW) 416 mi
3,039 mi
4 segment path:
EDI (55°57'00"N 3°22'21"W) GLA (55°52'19"N 4°25'59"W) 263263.0°(W) 265265.3°(W) 42 mi
GLA (55°52'19"N 4°25'59"W) TXL (52°33'35"N 13°17'16"E) 100100.3°(E) 103103.1°(E) 752 mi
TXL (52°33'35"N 13°17'16"E) LHR (51°28'39"N 0°27'41"W) 268268.2°(W) 264264.5°(W) 591 mi
LHR (51°28'39"N 0°27'41"W) EDI (55°57'00"N 3°22'21"W) 340340.1°(N) 341340.6°(N) 332 mi
1,715 mi
2 segment path:
EDI (55°57'00"N 3°22'21"W) AMS (52°18'31"N 4°45'50"E) 124124.0°(SE) 126126.3°(SE) 416 mi
AMS (52°18'31"N 4°45'50"E) EDI (55°57'00"N 3°22'21"W) 311310.6°(NW) 309309.4°(NW) 416 mi
831 mi
4 segment path:
EDI (55°57'00"N 3°22'21"W) AMS (52°18'31"N 4°45'50"E) 124124.0°(SE) 126126.3°(SE) 416 mi
AMS (52°18'31"N 4°45'50"E) ZRH (47°27'53"N 8°32'57"E) 152151.7°(SE) 151150.6°(SE) 375 mi
ZRH (47°27'53"N 8°32'57"E) AMS (52°18'31"N 4°45'50"E) 335334.6°(NW) 332332.3°(NW) 375 mi
AMS (52°18'31"N 4°45'50"E) EDI (55°57'00"N 3°22'21"W) 311310.6°(NW) 309309.4°(NW) 416 mi
1,580 mi
4 segment path:
EDI (55°57'00"N 3°22'21"W) LHR (51°28'39"N 0°27'41"W) 158157.7°(S) 160160.0°(S) 332 mi
LHR (51°28'39"N 0°27'41"W) ARN (59°39'07"N 17°55'07"E) 045044.5°(NE) 045045.1°(NE) 911 mi
ARN (59°39'07"N 17°55'07"E) LHR (51°28'39"N 0°27'41"W) 240239.8°(SW) 234233.7°(SW) 911 mi
LHR (51°28'39"N 0°27'41"W) EDI (55°57'00"N 3°22'21"W) 340340.1°(N) 341340.6°(N) 332 mi
2,485 mi
4 segment path:
EDI (55°57'00"N 3°22'21"W) GLA (55°52'19"N 4°25'59"W) 263263.0°(W) 265265.3°(W) 42 mi
GLA (55°52'19"N 4°25'59"W) DXB (25°15'10"N 55°21'52"E) 100099.9°(E) 103102.6°(E) 3,634 mi
DXB (25°15'10"N 55°21'52"E) GLA (55°52'19"N 4°25'59"W) 322322.3°(NW) 320320.2°(NW) 3,634 mi
GLA (55°52'19"N 4°25'59"W) EDI (55°57'00"N 3°22'21"W) 082082.1°(E) 085084.8°(E) 42 mi
7,351 mi
5 segment path:
EDI (55°57'00"N 3°22'21"W) LHR (51°28'39"N 0°27'41"W) 158157.7°(S) 160160.0°(S) 332 mi
LHR (51°28'39"N 0°27'41"W) YYZ (43°40'36"N 79°37'50"W) 295294.5°(NW) 295295.1°(NW) 3,557 mi
YYZ (43°40'36"N 79°37'50"W) YQB (46°47'28"N 71°23'36"W) 059059.0°(NE) 069069.3°(E) 456 mi
YQB (46°47'28"N 71°23'36"W) YYZ (43°40'36"N 79°37'50"W) 245244.8°(SW) 261260.7°(W) 456 mi
YYZ (43°40'36"N 79°37'50"W) EDI (55°57'00"N 3°22'21"W) 047047.0°(NE) 057057.3°(NE) 3,330 mi
8,129 mi
4 segment path:
EDI (55°57'00"N 3°22'21"W) GLA (55°52'19"N 4°25'59"W) 263263.0°(W) 265265.3°(W) 42 mi
GLA (55°52'19"N 4°25'59"W) DXB (25°15'10"N 55°21'52"E) 100099.9°(E) 103102.6°(E) 3,634 mi
DXB (25°15'10"N 55°21'52"E) GLA (55°52'19"N 4°25'59"W) 322322.3°(NW) 320320.2°(NW) 3,634 mi
GLA (55°52'19"N 4°25'59"W) EDI (55°57'00"N 3°22'21"W) 082082.1°(E) 085084.8°(E) 42 mi
7,351 mi
6 segment path:
EDI (55°57'00"N 3°22'21"W) GLA (55°52'19"N 4°25'59"W) 263263.0°(W) 265265.3°(W) 42 mi
GLA (55°52'19"N 4°25'59"W) TXL (52°33'35"N 13°17'16"E) 100100.3°(E) 103103.1°(E) 752 mi
TXL (52°33'35"N 13°17'16"E) AMS (52°18'31"N 4°45'50"E) 271270.6°(W) 267266.9°(W) 361 mi
AMS (52°18'31"N 4°45'50"E) LIM (12°01'19"S 77°06'52"W) 256256.4°(W) 255255.3°(W) 6,532 mi
LIM (12°01'19"S 77°06'52"W) AMS (52°18'31"N 4°45'50"E) 038037.5°(NE) 039039.3°(NE) 6,532 mi
AMS (52°18'31"N 4°45'50"E) EDI (55°57'00"N 3°22'21"W) 311310.6°(NW) 309309.4°(NW) 416 mi
14,632 mi
4 segment path:
EDI (55°57'00"N 3°22'21"W) LHR (51°28'39"N 0°27'41"W) 158157.7°(S) 160160.0°(S) 332 mi
LHR (51°28'39"N 0°27'41"W) ZRH (47°27'53"N 8°32'57"E) 121120.9°(SE) 121121.4°(SE) 491 mi
ZRH (47°27'53"N 8°32'57"E) LHR (51°28'39"N 0°27'41"W) 308307.7°(NW) 305305.4°(NW) 491 mi
LHR (51°28'39"N 0°27'41"W) EDI (55°57'00"N 3°22'21"W) 340340.1°(N) 341340.6°(N) 332 mi
1,645 mi
5 segment path:
EDI (55°57'00"N 3°22'21"W) LHR (51°28'39"N 0°27'41"W) 158157.7°(S) 160160.0°(S) 332 mi
LHR (51°28'39"N 0°27'41"W) BCN (41°17'49"N 2°04'42"E) 169169.3°(S) 170169.8°(S) 714 mi
BCN (41°17'49"N 2°04'42"E) ZAZ (41°39'58"N 1°02'30"W) 280280.0°(W) 279279.2°(W) 164 mi
ZAZ (41°39'58"N 1°02'30"W) MAD (40°29'37"N 3°34'00"W) 239239.3°(SW) 239239.3°(SW) 155 mi
MAD (40°29'37"N 3°34'00"W) EDI (55°57'00"N 3°22'21"W) 000000.4°(N) 001001.1°(N) 1,068 mi
2,432 mi
2 segment path:
EDI (55°57'00"N 3°22'21"W) LHR (51°28'39"N 0°27'41"W) 158157.7°(S) 160160.0°(S) 332 mi
LHR (51°28'39"N 0°27'41"W) EDI (55°57'00"N 3°22'21"W) 340340.1°(N) 341340.6°(N) 332 mi
663 mi
2 segment path:
EDI (55°57'00"N 3°22'21"W) GLA (55°52'19"N 4°25'59"W) 263263.0°(W) 265265.3°(W) 42 mi
GLA (55°52'19"N 4°25'59"W) EDI (55°57'00"N 3°22'21"W) 082082.1°(E) 085084.8°(E) 42 mi
84 mi
4 segment path:
EDI (55°57'00"N 3°22'21"W) AMS (52°18'31"N 4°45'50"E) 124124.0°(SE) 126126.3°(SE) 416 mi
AMS (52°18'31"N 4°45'50"E) DUS (51°17'22"N 6°46'00"E) 129128.6°(SE) 127127.5°(SE) 112 mi
DUS (51°17'22"N 6°46'00"E) AMS (52°18'31"N 4°45'50"E) 310310.2°(NW) 308308.4°(NW) 112 mi
AMS (52°18'31"N 4°45'50"E) EDI (55°57'00"N 3°22'21"W) 311310.6°(NW) 309309.4°(NW) 416 mi
1,053 mi
11 segment path:
EDI (55°57'00"N 3°22'21"W) AMS (52°18'31"N 4°45'50"E) 124124.0°(SE) 126126.3°(SE) 416 mi
AMS (52°18'31"N 4°45'50"E) CAN (23°24'N 113°18'E) 061061.4°(NE) 060060.2°(NE) 5,690 mi
CAN (23°24'N 113°18'E) MEL (37°40'24"S 144°50'36"E) 153153.3°(SE) 156156.2°(SE) 4,675 mi
MEL (37°40'24"S 144°50'36"E) SYD (33°56'46"S 151°10'38"E) 056056.0°(NE) 045044.5°(NE) 439 mi
SYD (33°56'46"S 151°10'38"E) MEL (37°40'24"S 144°50'36"E) 232232.3°(SW) 220219.7°(SW) 439 mi
MEL (37°40'24"S 144°50'36"E) CAN (23°24'N 113°18'E) 329328.7°(NW) 317317.1°(NW) 4,675 mi
CAN (23°24'N 113°18'E) AMS (52°18'31"N 4°45'50"E) 324324.2°(NW) 327327.1°(NW) 5,690 mi
AMS (52°18'31"N 4°45'50"E) LHR (51°28'39"N 0°27'41"W) 258257.6°(W) 257256.5°(W) 231 mi
LHR (51°28'39"N 0°27'41"W) EMA (52°49'52"N 1°19'40"W) 339338.9°(N) 339339.4°(N) 101 mi
EMA (52°49'52"N 1°19'40"W) LHR (51°28'39"N 0°27'41"W) 158158.2°(S) 159159.2°(S) 101 mi
LHR (51°28'39"N 0°27'41"W) EDI (55°57'00"N 3°22'21"W) 340340.1°(N) 341340.6°(N) 332 mi
22,784 mi
6 segment path:
EDI (55°57'00"N 3°22'21"W) BHX (52°27'14"N 1°44'53"W) 164164.1°(S) 166166.4°(S) 251 mi
BHX (52°27'14"N 1°44'53"W) RNS (48°04'19"N 1°43'56"W) 180179.9°(S) 181181.0°(S) 303 mi
RNS (48°04'19"N 1°43'56"W) EGC (44°49'28"N 0°31'14"E) 154153.6°(SE) 154154.2°(SE) 249 mi
EGC (44°49'28"N 0°31'14"E) CDG (49°00'35"N 2°32'52"E) 018017.6°(N) 017017.3°(N) 305 mi
CDG (49°00'35"N 2°32'52"E) MAN (53°21'14"N 2°16'30"W) 327327.0°(NW) 326326.3°(NW) 367 mi
MAN (53°21'14"N 2°16'30"W) EDI (55°57'00"N 3°22'21"W) 347346.7°(N) 348348.1°(N) 185 mi
1,658 mi
2 segment path:
EDI (55°57'00"N 3°22'21"W) AMS (52°18'31"N 4°45'50"E) 124124.0°(SE) 126126.3°(SE) 416 mi
AMS (52°18'31"N 4°45'50"E) EDI (55°57'00"N 3°22'21"W) 311310.6°(NW) 309309.4°(NW) 416 mi
831 mi
4 segment path:
EDI (55°57'00"N 3°22'21"W) AMS (52°18'31"N 4°45'50"E) 124124.0°(SE) 126126.3°(SE) 416 mi
AMS (52°18'31"N 4°45'50"E) DUS (51°17'22"N 6°46'00"E) 129128.6°(SE) 127127.5°(SE) 112 mi
DUS (51°17'22"N 6°46'00"E) AMS (52°18'31"N 4°45'50"E) 310310.2°(NW) 308308.4°(NW) 112 mi
AMS (52°18'31"N 4°45'50"E) EDI (55°57'00"N 3°22'21"W) 311310.6°(NW) 309309.4°(NW) 416 mi
1,053 mi
2 segment path:
EDI (55°57'00"N 3°22'21"W) LHR (51°28'39"N 0°27'41"W) 158157.7°(S) 160160.0°(S) 332 mi
LHR (51°28'39"N 0°27'41"W) EDI (55°57'00"N 3°22'21"W) 340340.1°(N) 341340.6°(N) 332 mi
663 mi
4 segment path:
EDI (55°57'00"N 3°22'21"W) AMS (52°18'31"N 4°45'50"E) 124124.0°(SE) 126126.3°(SE) 416 mi
AMS (52°18'31"N 4°45'50"E) DUS (51°17'22"N 6°46'00"E) 129128.6°(SE) 127127.5°(SE) 112 mi
DUS (51°17'22"N 6°46'00"E) AMS (52°18'31"N 4°45'50"E) 310310.2°(NW) 308308.4°(NW) 112 mi
AMS (52°18'31"N 4°45'50"E) EDI (55°57'00"N 3°22'21"W) 311310.6°(NW) 309309.4°(NW) 416 mi
1,053 mi
4 segment path:
EDI (55°57'00"N 3°22'21"W) MAD (40°29'37"N 3°34'00"W) 181180.6°(S) 183182.9°(S) 1,068 mi
MAD (40°29'37"N 3°34'00"W) ZAZ (41°39'58"N 1°02'30"W) 058057.6°(NE) 058058.3°(NE) 155 mi
ZAZ (41°39'58"N 1°02'30"W) MAD (40°29'37"N 3°34'00"W) 239239.3°(SW) 239239.3°(SW) 155 mi
MAD (40°29'37"N 3°34'00"W) EDI (55°57'00"N 3°22'21"W) 000000.4°(N) 001001.1°(N) 1,068 mi
2,446 mi
4 segment path:
EDI (55°57'00"N 3°22'21"W) AMS (52°18'31"N 4°45'50"E) 124124.0°(SE) 126126.3°(SE) 416 mi
AMS (52°18'31"N 4°45'50"E) ARN (59°39'07"N 17°55'07"E) 040039.8°(NE) 039038.7°(NE) 718 mi
ARN (59°39'07"N 17°55'07"E) CPH (55°37'05"N 12°39'21"E) 217217.2°(SW) 211211.1°(SW) 341 mi
CPH (55°37'05"N 12°39'21"E) EDI (55°57'00"N 3°22'21"W) 279278.7°(W) 275275.0°(W) 624 mi
2,098 mi
6 segment path:
EDI (55°57'00"N 3°22'21"W) AMS (52°18'31"N 4°45'50"E) 124124.0°(SE) 126126.3°(SE) 416 mi
AMS (52°18'31"N 4°45'50"E) MAD (40°29'37"N 3°34'00"W) 209209.1°(SW) 208208.0°(SW) 907 mi
MAD (40°29'37"N 3°34'00"W) SVQ (37°25'05"N 5°53'35"W) 211211.3°(SW) 212212.0°(SW) 247 mi
SVQ (37°25'05"N 5°53'35"W) MAD (40°29'37"N 3°34'00"W) 030029.8°(NE) 031031.1°(NE) 247 mi
MAD (40°29'37"N 3°34'00"W) AMS (52°18'31"N 4°45'50"E) 023023.0°(NE) 024023.7°(NE) 907 mi
AMS (52°18'31"N 4°45'50"E) EDI (55°57'00"N 3°22'21"W) 311310.6°(NW) 309309.4°(NW) 416 mi
3,137 mi
2 segment path:
EDI (55°57'00"N 3°22'21"W) AMS (52°18'31"N 4°45'50"E) 124124.0°(SE) 126126.3°(SE) 416 mi
AMS (52°18'31"N 4°45'50"E) EDI (55°57'00"N 3°22'21"W) 311310.6°(NW) 309309.4°(NW) 416 mi
831 mi
5 segment path:
EDI (55°57'00"N 3°22'21"W) BRU (50°54'05"N 4°29'04"E) 134133.9°(SE) 136136.2°(SE) 477 mi
BRU (50°54'05"N 4°29'04"E) FRA (50°02'00"N 8°34'14"E) 107106.8°(E) 106105.7°(E) 190 mi
FRA (50°02'00"N 8°34'14"E) TLS (43°38'06"N 1°22'04"E) 220220.4°(SW) 218218.0°(SW) 558 mi
TLS (43°38'06"N 1°22'04"E) FRA (50°02'00"N 8°34'14"E) 035035.1°(NE) 035034.5°(NE) 558 mi
FRA (50°02'00"N 8°34'14"E) EDI (55°57'00"N 3°22'21"W) 314314.1°(NW) 312311.7°(NW) 644 mi
2,426 mi
4 segment path:
EDI (55°57'00"N 3°22'21"W) AMS (52°18'31"N 4°45'50"E) 124124.0°(SE) 126126.3°(SE) 416 mi
AMS (52°18'31"N 4°45'50"E) DUS (51°17'22"N 6°46'00"E) 129128.6°(SE) 127127.5°(SE) 112 mi
DUS (51°17'22"N 6°46'00"E) AMS (52°18'31"N 4°45'50"E) 310310.2°(NW) 308308.4°(NW) 112 mi
AMS (52°18'31"N 4°45'50"E) EDI (55°57'00"N 3°22'21"W) 311310.6°(NW) 309309.4°(NW) 416 mi
1,053 mi
4 segment path:
EDI (55°57'00"N 3°22'21"W) LHR (51°28'39"N 0°27'41"W) 158157.7°(S) 160160.0°(S) 332 mi
LHR (51°28'39"N 0°27'41"W) YOW (45°19'21"N 75°40'02"W) 294294.0°(NW) 295294.6°(NW) 3,332 mi
YOW (45°19'21"N 75°40'02"W) LHR (51°28'39"N 0°27'41"W) 054054.0°(NE) 067067.3°(NE) 3,332 mi
LHR (51°28'39"N 0°27'41"W) EDI (55°57'00"N 3°22'21"W) 340340.1°(N) 341340.6°(N) 332 mi
7,327 mi
3 segment path:
EDI (55°57'00"N 3°22'21"W) BRU (50°54'05"N 4°29'04"E) 134133.9°(SE) 136136.2°(SE) 477 mi
BRU (50°54'05"N 4°29'04"E) CPH (55°37'05"N 12°39'21"E) 043042.9°(NE) 042041.8°(NE) 470 mi
CPH (55°37'05"N 12°39'21"E) EDI (55°57'00"N 3°22'21"W) 279278.7°(W) 275275.0°(W) 624 mi
1,570 mi
2 segment path:
EDI (55°57'00"N 3°22'21"W) CDG (49°00'35"N 2°32'52"E) 150150.1°(SE) 152152.4°(SE) 541 mi
CDG (49°00'35"N 2°32'52"E) EDI (55°57'00"N 3°22'21"W) 335334.8°(NW) 334334.2°(NW) 541 mi
1,082 mi
2 segment path:
EDI (55°57'00"N 3°22'21"W) CDG (49°00'35"N 2°32'52"E) 150150.1°(SE) 152152.4°(SE) 541 mi
CDG (49°00'35"N 2°32'52"E) EDI (55°57'00"N 3°22'21"W) 335334.8°(NW) 334334.2°(NW) 541 mi
1,082 mi
6 segment path:
EDI (55°57'00"N 3°22'21"W) CDG (49°00'35"N 2°32'52"E) 150150.1°(SE) 152152.4°(SE) 541 mi
CDG (49°00'35"N 2°32'52"E) PEK (40°04'N 116°36'E) 047046.7°(NE) 046046.1°(NE) 5,103 mi
PEK (40°04'N 116°36'E) NKG (31°45'N 118°52'E) 167166.8°(S) 174173.8°(S) 589 mi
NKG (31°45'N 118°52'E) CTU (30°35'N 103°57'E) 269268.7°(W) 274274.3°(W) 887 mi
CTU (30°35'N 103°57'E) CDG (49°00'35"N 2°32'52"E) 318318.0°(NW) 320320.0°(NW) 5,138 mi
CDG (49°00'35"N 2°32'52"E) EDI (55°57'00"N 3°22'21"W) 335334.8°(NW) 334334.2°(NW) 541 mi
12,797 mi

 Code Dictionary
Code Source Location
EDI AIP Edinburgh [Edinburgh Airport (RAF Turnhouse)], Midlothian, SCT, GB
AMS DAFIF Amsterdam [Schiphol], NH, NL
PRG DAFIF Prague (Praha) [Václav Havel Airport Prague (Prague Ruzyne Intl)], PR, CZ
HEL AIP Helsinki [Vantaa], 18, FI
GLA AIP Glasgow [Abbotsinch], Renfrewshire, SCT, GB
TXL MIL Berlin (Tegel) [Berlin Tegel Airport (Berlin-Tegel Otto Lilienthal)], BE, DE
LHR AIP London [Heathrow Airport], Middlesex, ENG, GB
ZRH DAFIF Zürich [Zürich-Kloten], ZH, CH
ARN DAFIF Stockholm [Arlanda], AB, SE
DXB DAFIF Dubai [Intl], DU, AE
YYZ AIP Toronto [Lester B. Pearson Intl], ON, CA
YQB AIP Québec City [Jean Lesage Intl (Québec City Jean Lesage Intl)], QC, CA
LIM AIP Lima (Callao) [Jorge Chávez Intl], CAL, PE
BCN DAFIF Barcelona (El Prat del Llobregat) [El Prat (Intl)], CT, ES
ZAZ DAFIF Zaragoza [Zaragoza Airport (Zaragoza AB)], AR, ES
MAD DAFIF Madrid [Adolfo Suárez Madrid-Barajas Intl], MD, ES
DUS DAFIF Düsseldorf (Duesseldorf) [Rhein-Ruhr], NW, DE
CAN AIP Guangzhou (Canton) [Baiyun], 44, CN
MEL DAFIF Melbourne [Tullamarine Intl], Vic, AU
SYD DAFIF Sydney [Kingsford Smith], NSW, AU
EMA AIP Derby [East Midlands Airport (Castle Donnington)], Leicestershire, ENG, GB
BHX AIP Birmingham [Birmingham Airport (Birmingham Intl)], Warwickshire, ENG, GB
RNS AIP Rennes [St-Jacques], E, FR
EGC AIP Bergerac [Bergerac-Roumanière Airport], B, FR
CDG AIP Paris (Roissy-en-France) [Charles de Gaulle (Roissy)], J, FR
MAN AIP Manchester [Ringway Intl], ENG, GB
CPH AIP Copenhagen (København) [København Airport - Kastrup], DK
SVQ DAFIF Sevilla (Seville) [San Pablo], AN, ES
BRU DAFIF Brussels (Zaventem) [Brussels Airport (Brussels National Airport)], VBR, BE
FRA AIP Frankfurt [Rhein-Main], HE, DE
TLS AIP Toulouse [Blagnac], N, FR
YOW AIP Ottawa [Macdonald-Cartier Intl], ON, CA
PEK AIP Beijing (Peking) [Capital Airport], 11, CN
NKG AIP Nanjing [Nanjing Lukou Intl], 32, CN
CTU AIP Chengdu [Shuangliu Intl], 51, CN

 Map Controls
Paths 


Ranges 
  
  • Markers
  • Map Conf
  • Dist+Time
  • ETOPS
Simple
Raw 
Map Options
Style
Projection
Center

Path Options
Color
   Width
   Type

Range Options
Color
   Width
   Style
Units
   Minimum
Ground Speed or Mach
 
Rule Times
 60 minutes
 75 minutes
 90 minutes
 120 minutes
 138 minutes
 180 minutes
 207 minutes
 240 minutes
 330 minutes
   Engine-Out Speed
 
 

Copyright © 1996-2017 Karl L. Swartz. All rights reserved.
The Great Circle Mapper name and logo are trademarks of the Great Circle Mapper.
All other trademarks mentioned herein belong to their respective owners.
Please see credits for attibutions and further copyright information.

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