7/29/2019 Pa Spcs Tables

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PENNSYLVANIA

NORTH ZONE PLANE COORDINATE PROJECTION TABLES

Lambert conformal conic projection with two standard parallels

DATUM: NAD 83 The projection is PENNSYLVANIA NORTH

Greek Letters: f - phi l - lambda g - gamma

Ellipsoidal constants: a = 6,378,137 m f= 1/298.2572221009

Defining constants

bf = 40E10N (latitude of grid origin)

CMl = 77E45N (longitude of origin and Central Meridian, CM)

sf = 40E53N (southern standard parallel)

nf = 41E57N (northern standard parallel)

0E = 600,000.0000 m (easting coordinate of origin)

bN = 0.0000 m (northing coordinate of origin)

Derived constants

0l = 0.661539733812 = sin(f )K = 12,219,540.4665 m (mapping radius at the equator)

bR = 7379348.3668 m (mapping radius at grid origin)

Lambert coordinates (N,E) from Geodetic positions (f, l)

CM 0g = (l -l) sin(f ) (g is the meridional convergence)

0E = R sin(g) + E (R from table)

b bN = R - R cos(g) + N

Station Latitude

Longitude

R

g

sin(g)

cos(g)

E

N

sample 41E25N00.00000O 7,240,531.059 m -0.00577 29912 558,200.478 m

1 78E15N00.00000O -0E19N50.77152O 0.99998 33361 138,937.963 m

Geodetic positions from Lambert coordinates

0 b btan(g) = (E - E )/[(R - (N - N )]

b bR = [R - (N - N )]/cos(g)

CMl = l -g/l

f from Table using R

Station E

N0E - E

b bR - (N - N )

R

g

Latitude

Longitude

Sample 650,000.000 m 50000.000 m 7,239,521.0322 m 41E25N32.7407O

2 140,000.000 m 7,239,348.367 m 0E23N 44.58628O 77E09N06.5598O

WARNING: Use sufficient significant digits for trigonometric functions

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LAMBERT CONFORMAL CONIC PROJECTION TABLES

NORTH ZONE

Lat (f) R (meters) Tab. Diff. k Lat (f) R (meters) Tab. Diff. k

40E10N 7379348.367 30.84974 1.00019272 40E45N 7314566.543 30.84771 1.00002420

40E11N 7377497.383 30.84963 1.00018649 40E46N 7312715.680 30.84769 1.00002088

40E12N 7375646.405 30.84954 1.00018035 40E47N 7310864.819 30.84769 1.00001765

40E13N 7373795.432 30.84944 1.00017429 40E48N 7309013.958 30.84768 1.00001450

40E14N 7371944.466 30.84934 1.00016831 40E49N 7307163.097 30.84767 1.00001143

40E15N 7370093.505 30.84925 1.00016241 40E50N 7305312.236 30.84767 1.00000845

40E16N 7368242.550 30.84916 1.00015660 40E51N 7303461.376 30.84767 1.00000555

40E17N 7366391.600 30.84908 1.00015087 40E52N 7301610.515 30.84768 1.00000273

40E18N 7364540.656 30.84899 1.00014523 40E53N 7299759.655 30.84769 1.00000000

40E19N 7362689.716 30.84891 1.00013966 40E54N 7297908.794 30.84769 0.99999735

40E20N 7360838.781 30.84883 1.00013418 40E55N 7296057.932 30.84771 0.99999479

40E21N 7358987.851 30.84876 1.00012879 40E56N 7294207.070 30.84772 0.99999231

40E22N 7357136.926 30.84869 1.00012347 40E57N 7292356.206 30.84774 0.99998991

40E23N 7355286.004 30.84861 1.00011824 40E58N 7290505.342 30.84776 0.99998759

40E24N 7353435.088 30.84855 1.00011309 40E59N 7288654.477 30.84778 0.99998537

40E25N 7351584.175 30.84848 1.00010803 41E00N 7286803.610 30.84780 0.99998322

40E26N 7349733.266 30.84842 1.00010305 41E01N 7284952.742 30.84783 0.99998116

40E27N 7347882.361 30.84836 1.00009815 41E02N 7283101.872 30.84786 0.99997918

40E28N 7346031.460 30.84830 1.00009333 41E03N 7281251.001 30.84789 0.99997728

40E29N 7344180.562 30.84824 1.00008860 41E04N 7279400.127 30.84793 0.99997547

40E30N 7342329.667 30.84819 1.00008395 41E05N 7277549.251 30.84796 0.99997374

40E31N 7340478.776 30.84814 1.00007938 41E06N 7275698.374 30.84800 0.99997210

40E32N 7338627.887 30.84809 1.00007490 41E07N 7273847.493 30.84805 0.99997054

40E33N 7336777.002 30.84805 1.00007050 41E08N 7271996.610 30.84809 0.99996907

40E34N 7334926.119 30.84800 1.00006618 41E09N 7270145.725 30.84814 0.99996767

40E35N 7333075.239 30.84796 1.00006195 41E10N 7268294.836 30.84819 0.99996637

40E36N 7331224.361 30.84793 1.00005780 41E11N 7266443.945 30.84824 0.99996514

40E37N 7329373.485 30.84789 1.00005373 41E12N 7264593.050 30.84830 0.99996400

40E38N 7327522.612 30.84786 1.00004975 41E13N 7262742.152 30.84836 0.99996295

40E

39N

7325671.740 30.84783 1.00004585 41E

14N

7260891.251 30.84842 0.9999619840E40N 7323820.870 30.84780 1.00004203 41E15N 7259040.346 30.84848 0.99996109

40E41N 7321970.002 30.84778 1.00003830 41E16N 7257189.437 30.84855 0.99996029

40E42N 7320119.135 30.84776 1.00003465 41E17N 7255338.524 30.84862 0.99995957

40E43N 7318268.270 30.84774 1.00003108 41E18N 7253487.607 30.84869 0.99995893

40E44N 7316417.406 30.84772 1.00002760 41E19N 7251636.685 30.84876 0.99995838

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Lat (f) R (meters) Tab. Diff. k Lat (f) R (meters) Tab. Diff. k

41E20N 7249785.760 30.84884 0.99995791 41E55N 7184999.347 30.85316 0.99999476

41E21N 7247934.829 30.84892 0.99995753 41E56N 7183148.157 30.85333 0.99999734

41E22N 7246083.894 30.84900 0.99995723 41E57N 7181296.957 30.85351 1.00000000

41E23N 7244232.954 30.84908 0.99995702 41E58N 7179445.747 30.85368 1.00000275

41E24N 7242382.009 30.84917 0.99995689 41E59N 7177594.526 30.85386 1.00000558

41E25N 7240531.059 30.84926 0.99995684 42E00N 7175743.294 30.85404 1.0000085041E26N 7238680.103 30.84935 0.99995688 42E01N 7173892.051 30.85423 1.00001150

41E27N 7236829.142 30.84945 0.99995700 42E02N 7172040.798 30.85441 1.00001459

41E28N 7234978.175 30.84955 0.99995721 42E03N 7170189.533 30.85460 1.00001776

41E29N 7233127.202 30.84965 0.99995750 42E04N 7168338.257 30.85479 1.00002102

41E30N 7231276.224 30.84975 0.99995788 42E05N 7166486.969 30.85499 1.00002436

41E31N 7229425.239 30.84985 0.99995834 42E06N 7164635.670 30.85519 1.00002779

41E32N 7227574.248 30.84996 0.99995888 42E07N 7162784.359 30.85539 1.00003131

41E33N 7225723.250 30.85007 0.99995951 42E08N 7160933.036 30.85559 1.00003491

41E34N 7223872.246 30.85018 0.99996022 42E09N 7159081.700 30.85579 1.00003859

41E35N 7222021.235 30.85030 0.99996102 42E10N 7157230.353 30.85600 1.00004236

41E36N 7220170.217 30.85042 0.99996190 42E11N 7155378.993 30.85621 1.00004621

41E37N 7218319.191 30.85054 0.99996287 42E12N 7153527.620 30.85642 1.00005016

41E38N 7216468.159 30.85066 0.99996392 42E13N 7151676.235 30.85664 1.00005418

41E39N 7214617.119 30.85079 0.99996506 42E14N 7149824.836 30.85686 1.00005829

41E40N 7212766.072 30.85092 0.99996628 42E15N 7147973.425 30.85708 1.00006249

41E41N 7210915.017 30.85105 0.99996758 42E16N 7146122.000 30.85730 1.00006677

41E42N 7209063.954 30.85118 0.99996897 42E17N 7144270.562 30.85753 1.00007114

41E43N 7207212.883 30.85132 0.99997045 42E18N 7142419.110 30.85776 1.00007559

41E44N 7205361.804 30.85146 0.99997201 42E19N 7140567.645 30.85799 1.00008013

41E45N 7203510.716 30.85160 0.99997365 42E20N 7138716.166 30.85822 1.00008475

41E46N 7201659.620 30.85175 0.99997538 42E21N 7136864.673 30.85846 1.00008946

41E47N 7199808.516 30.85189 0.99997720 42E22N 7135013.165 30.85870 1.00009426

41E48N 7197957.402 30.85204 0.99997909 42E23N 7133161.643 30.85894 1.00009914

41E49N 7196106.280 30.85219 0.99998108 42E24N 7131310.107 30.85918 1.00010411

41E50N 7194255.148 30.85235 0.99998315 42E25N 7129458.556 30.85943 1.00010916

41E51N 7192404.007 30.85251 0.99998530 42E26N 7127606.990 30.85968 1.00011430

41E52N 7190552.857 30.85267 0.99998754 42E27N 7125755.409 30.85993 1.00011952

41E53N 7188701.697 30.85283 0.99998986 42E28N 7123903.813 30.86019 1.00012483

41E54N 7186850.527 30.85300 0.99999227 42E29N 7122052.202 30.86045 1.00013023

42E30N 7120200.575 30.86071 1.00013571

7/29/2019 Pa Spcs Tables

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PENNSYLVANIA

SOUTH ZONE PLANE COORDINATE PROJECTION TABLES

Lambert conformal conic projection with two standard parallels

DATUM: NAD 83 The projection is PENNSYLVANIA SOUTH

Greek Letters: f - phi l - lambda g - gamma

Ellipsoidal constants: a = 6,378,137 m f= 1/298.2572221009

Defining constants

bf = 39E20N (latitude of grid origin)

CMl = 77E45N (longitude of origin and central Meridian, CM)

sf = 39E56N (southern standard parallel)

nf = 40E58N (northern standard parallel)

0E = 600,000.0000 m (easting coordinate of origin)

bN = 0.0000 m (northing coordinate of origin)

Derived constants

0l = 0.64879 31516 19 = sin(f )

K = 12,336,392.1867 m (mapping radius at the equator)

bR = 7,615,193.7581 m (mapping radius at grid origin)

Lambert coordinates (N,E) from Geodetic positions (f, l)

CM 0g = (l -l) sin(f ) (g is the meridional convergence)

0E = R sin(g) + E (R from table)

b bN = R - R cos(g) + N

Station latitude

longitude

R

g

sin(g)

cos(g)

E

N

sample 40E 27N 0.00000O 7,491,04.623 m -0.0056617581 557,586.612 m

1 78E 15N 0.00000O -0E 19N 27.82767O 0.99998 39721 124,109.203 m

Geodetic positions from Lambert coordinates

0 b btan(g) = (E - E )/[(R - (N - N ) ]

b bR = [R - (N - N )]/cos(g)

CMl = l -g/l f from Table using R

Station E

N0E - E

b bR - (N - N )

R

g

latitude

longitude

Sample 650,000.000 m 50000.000 m 7,485,360.7525 m 40E 30N 09.4638O

2 140,000.000 m 7,485,193.758 m 0E 22N 57.79826O 77E 09N 36.3674O

WARNING: Use sufficient significant digits for trigonometric functions.

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LAMBERT CONFORMAL CONIC PROJECTION TABLES

Lat (f) R (meters) tab. diff. k Lat (f) R (meters) tab. diff. k

39E20N 7615193.758 30.84392 1.00014788 40E00N 7541170.645 30.84266 0.99999024

39E21N 7613343.123 30.84384 1.00014232 40E01N 7539320.085 30.84268 0.99998801

39E22N 7611492.492 30.84376 1.00013683 40E02N 7537469.524 30.84271 0.99998587

39E23N 7609641.867 30.84368 1.00013144 40E03N 7535618.961 30.84273 0.99998381

39E24N 7607791.246 30.84361 1.00012612 40E04N 7533768.397 30.84276 0.99998183

39E25N 7605940.629 30.84354 1.00012089 40E05N 7531917.831 30.84280 0.99997993

39E26N 7604090.017 30.84347 1.00011574 40E06N 7530067.264 30.84283 0.99997812

39E27N 7602239.409 30.84340 1.00011068 40E07N 7528216.694 30.84287 0.99997640

39E28N 7600388.804 30.84334 1.00010569 40E08N 7526366.122 30.84291 0.99997475

39E29N 7598538.204 30.84328 1.00010079 40E09N 7524515.547 30.84295 0.99997319

39E30N 7596687.607 30.84322 1.00009598 40E10N 7522664.970 30.84299 0.99997172

39E31N 7594837.014 30.84316 1.00009125 40E11N 7520814.391 30.84304 0.99997033

39E32N 7592986.424 30.84311 1.00008660 40E12N 7518963.808 30.84309 0.99996902

39E33N 7591135.838 30.84306 1.00008203 40E13N 7517113.223 30.84314 0.99996780

39E34N 7589285.254 30.84301 1.00007755 40E14N 7515262.634 30.84320 0.99996666

39E35N 7587434.673 30.84297 1.00007315 40E15N 7513412.042 30.84326 0.99996560

39E36N 7585584.095 30.84292 1.00006883 40E16N 7511561.447 30.84332 0.99996463

39E37N 7583733.520 30.84288 1.00006459 40E17N 7509710.848 30.84338 0.99996374

39E38N 7581882.947 30.84284 1.00006044 40E18N 7507860.245 30.84345 0.99996294

39E39N 7580032.376 30.84281 1.00005638 40E19N 7506009.638 30.84351 0.99996222

39E40N 7578181.808 30.84278 1.00005239 40E20N 7504159.027 30.84359 0.99996159

39E41N 7576331.241 30.84275 1.00004849 40E21N 7502308.412 30.84366 0.99996104

39E42N 7574480.677 30.84272 1.00004468 40E22N 7500457.792 30.84374 0.99996057

39E43N 7572630.114 30.84269 1.00004094 40E23N 7498607.168 30.84381 0.99996019

39E44N 7570779.552 30.84267 1.00003729 40E24N 7496756.539 30.84390 0.99995989

39E45N 7568928.992 30.84265 1.00003372 40E25N 7494905.906 30.84398 0.99995968

39E46N 7567078.433 30.84263 1.00003024 40E26N 7493055.267 30.84407 0.99995955

39E47N 7565227.875 30.84262 1.00002684 40E27N 7491204.623 30.84415 0.99995950

39E48N 7563377.318 30.84261 1.00002352 40E28N 7489353.974 30.84425 0.99995954

39E49N 7561526.761 30.84260 1.00002029 40E29N 7487503.319 30.84434 0.99995966

39E50N 7559676.205 30.84259 1.00001714 40E30N 7485652.658 30.84444 0.99995987

39E

51N

7557825.650 30.84259 1.00001408 40E31

N7483801.992 30.84454 0.99996016

39E52N 7555975.095 30.84258 1.00001109 40E32N 7481951.320 30.84464 0.99996054

39E53N 7554124.540 30.84258 1.00000819 40E33N 7480100.642 30.84474 0.99996100

39E54N 7552273.985 30.84259 1.00000538 40E34N 7478249.957 30.84485 0.99996154

39E55N 7550423.429 30.84259 1.00000265 40E35N 7476399.266 30.84496 0.99996217

39E56N 7548572.874 30.84260 1.00000000 40E36N 7474548.568 30.84507 0.99996289

39E57N 7546722.318 30.84261 0.99999744 40E37N 7472697.864 30.84519 0.99996368

39E58N 7544871.761 30.84263 0.99999495 40E38N 7470847.152 30.84531 0.99996457

39E59N 7543021.203 30.84264 0.99999256 40E39N 7468996.434 30.84543 0.99996553

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