Geocentric RSO Projection Parameters Peninsular RSO
East Malaysia BRSO
Remark
Ellipsoid Parameters Ellipsoid
GRS 80
GRS 80
Semi-major axis, (a)
6378137.000 Meters
6378137.000 Meters
Flattening, f
1/298.2572221
1/298.2572221
Defined Parameters. Latitude of Origin, φo
4o 00’ 00” N
4o 00’ 00” N
Longitude of Origin, λ
102o 15’ 00” E
115o 00’ 00” E
Rectified to Skew Grid,
sin-1 (-0.6)
sin-1 (0.8)
323o 01’ 32.86728”
53o 18’ 56.91582”
0.99984
0.99984
γ o
Azimuth of Central Line, αc
Scale factor, k False Origin (Easting)
804,671 Meters
E
0
False Origin (Northing)
0
0
Basic Longitude. λo
105o 14’ 10.58664”
109o41' 08.95525”
1
PROJECTION PARAMETER PENINSULAR MALAYSIA 1
Projection
Malayan Rectified Skew Orthomorphic (MRSO)old
2 3
Ellipsoid
Modified Everest
Semi-major axis (a)
6,377,304.063
4
Flattening (f)
1/300.8017
5
Whence
e² = 0.00663784630200
6
Datum
Kertau ( N 3° 27’ 50.71” ; E 102° 37’ 24.55” )
7
Conversion Factor
8
Origin of projection
4o 00’ N ; 102o 15’ E of Greenwich
9
Scale factor at Origin
0.99984
10
False Coordinates of Projection
( 804671.2996 Meters E ; 0.00 N )
11
Initial line of projection
Passes through the Skew Origin at an azimuth of Sin (-0.6) or 323° 01’ 32”.8458 from North
Limit of table
North-parallel of 8 o N East-Meridian of 104o 30’ E South-parallel of 1 o N West-Meridian of 99o 30’ E
12
1 chain = 20.11678249 m
(Chaney (Chaney & Benoit, 1896)
2
PROJECTION PARAMETER EAST MALAYSIA 1
Projection
Borneo Rectified Skew Orthomorphic (BRSO) old
2 3
Ellipsoid
Borneo (Modified Everest)
Semi-major axis (a)
6,377,298.556
4
Flattening (f)
1/300.8017
5
Whence
e² = 0.00663784630200
6
Datum
Timbalai 1968 ( N 5° 17’ 03.55” ; E 115° 10’ 56.41” )
7
Conversion Factor
1 chain= 20.11676512m (Sears, Jolly & Johnson, 1927)
8
Origin of projection
4o 00’ N ; 115o 00’ E of Greenwich
9
Scale Factor at Origin
0.99984
10
Coordinates of Origin
( 590476.8723 meters E ; 442857.6537 meters N )
11
Initial line of projection
Passes through the origin in an azimuth of 53 ° 18’ 56”.9537 east of True North
Limit of table
North-parallel of 8 o N East-Meridian of 109o 30’ E South-parallel of 0o 50’ N West-Meridian of 119o 30’ E
False Origin
0N 0E
12
13
3
TRANSFORMATION PARAMETERS USED IN PENINSULAR MALAYSIA GDM2000 PMGSN94
– Geocentric Datum of Malaysia - Peninsular Malaysia Geodetic and Scientific Network ( Previous WGS84 Datum adopted by JUPEM)
GDM2000 TO PMGSN94 Num
Parameter
1
Translation X (dX)
1.69276 m
2
Translation Y (dX)
- 1.92994 m
3
Translation Z (dX)
2.07108 m
4
Rotation X (Rx)
0.03515 "
5
Rotation Y (Ry)
- 0.02858 "
6
Rotation Z (Rz)
- 0.00617 "
7
Scale Factor
0.24859 ppm
8
SD of Transformation
0.025 m
PMGSN94 TO GDM2000
Num
Parameter
1
Translation X (dX)
- 1.69276 m
2
Translation Y (dX)
1.92994 m
3
Translation Z (dX)
- 2.07108 m
4
Rotation X (Rx)
-0.03515 "
5
Rotation Y (Ry)
0.02858 "
6
Rotation Z (Rz)
0.00617 "
7
Scale Factor
-0.24859 ppm
8
SD of Transformation
0.025 m
4
PMGSN94 MRT48
- Peninsular Malaysia Geodetic and Scientific Network – Malaysian Revised Triangulation 1948 (MRT48) – Kertau Datum
GDM2000 TO MRT48 Num
Parameter
1
Translation X (dX)
381.46888 m
2
Translation Y (dX)
-777.31353 m
3
Translation Z (dX)
88.68038 m
4
Rotation X (Rx)
2.63189 "
5
Rotation Y (Ry)
2.07355 "
6
Rotation Z (Rz)
-12.11994 "
7
Scale Factor
0.24859 ppm
MRT48 TO GDM2000
Num
Parameter
1
Translation X (dX)
-381.42407 m
2
Translation Y (dX)
777.33682 m
3
Translation Z (dX)
-88.66677 m
4
Rotation X (Rx)
-2.63177 "
5
Rotation Y (Ry)
-2.07370 "
6
Rotation Z (Rz)
12.11991 "
7
Scale Factor
-0.24859 ppm
5
PMGSN94 TO MRT48 Num
Parameter
1
Translation X (dX)
379.77603 m
2
Translation Y (dX)
-775.38371 m
3
Translation Z (dX)
86.60926 m
4
Rotation X (Rx)
2.59674 "
5
Rotation Y (Ry)
2.10213 "
6
Rotation Z (Rz)
- 12.11377 "
8
SD of Transformation
1.321 m
MRT48 TO PMGSN94 Num
Parameter
1
Translation X (dX)
-379.73137 m
2
Translation Y (dX)
775.40710 m
3
Translation Z (dX)
-86.59563 m
4
Rotation X (Rx)
- 2.59662 "
5
Rotation Y (Ry)
- 2.10228 "
6
Rotation Z (Rz)
12.11374 "
8
SD of Transformation
1.321 m
6
PENUKARAN KOORDINAT DARI GEOGRAFIKAL KE CASSINI-SOLDNER
E = FE + v[A – T(A 3/6) - (8 –T + 8C)T * A5/120] N = FN + M – M o + v*tanφ[A2/2 + (5 – T + 6C)A 4/24] di mana,
E, N
=
Koordinat Cassini-Soldner Hitungan
FE, FN
=
Koordinat Cassini-Soldner asalan
A
=
(λ - λo)Cosφ
λ
=
Longitud titik hitungan
λo
=
Longitud titik asalan
φ
=
Latitud titik hitungan
di mana,
T
=
tan2φ
C
=
(e2 / (1-e2))cos2φ
V
=
Jejari lengkung bumi di Pugak Utama
=
a / (1-e2sin2φ)1/2
=
Jarak lengkung di meridian
=
a[(1 – e2/4 – 3e4/64 – 5e6/256-..)φ - (3e2/8 + 3e4/32 +
M
45e6/1024 + …)sin2φ + (15e4/256 + 45e6/1024 +…)sin4φ - (35e6/3072 + …)sin6φ ..] dengan φ dalam unit Radians. Mo
=
Nilai M dihitung di latitud origin pilihan.
7
PENUKARAN KOORDINAT DARI CASSINI-SOLDNER KE GEOGRAFIKAL φ = φ1 – (v1tanφ1 / ρ1) [D2/2 – (1 + 3T 1) D4/24] λ = λo + [D –T 1.D3/3 + (1 + 3T 1) T1.D5/15] / cosφ1
di mana, φ1
=
µ1 + (3e1/2 – 27e13/32+ ..)Sin2µ1 +(21e12/16 -
55e14/32 + ..)Sin4µ1 + (151e13/96 + …)Sin6µ1 + (1097e14/512 - …)Sin8µ1 + … ρ1
=
a(1-e2) / (1 – e2sin2φ1)3/2
v1
=
a / (1 – e2sin2φ1)1/2
e1
=
1 – (1-e2)1/2 / 1 + (1-e2)1/2
µ1
=
M1 / a(1- e2/4 - 3e4/64 - 5e6/256 - ……)
M1
=
Mo + (N – FN)
=
Mo adalah nilai M dihitung di latitud titik origin
T1
=
tan2φ1
D
=
(E – FE)/v1
di mana,
8
Koordinat Muktamad Titik-Titik Asalan GDM2000 Stesen Latitud (N)
Longitud (E)
Ketinggian Ellipsoidal, h (m)
Ketinggian Geoid, N WMGeoid04 (m)
Ketinggian MSL (h-N) (m)
Gunung Belumut
2 ° 02’ 33.20196”
103° 33’ 39.83730”
1016.308
6.918
1009.390
Gun Hill
2° 42’ 43.63383”
101° 56’ 22.92969”
118.583
-0.668
119.251
Gunung Sinyum
3 ° 42’ 38.69263”
102° 26’ 04.60772”
486.453
0.445
486.008
Bukit Asa
3 ° 40’ 48.37778”
101° 30’ 24.48581”
263.480
-3.544
267.024
Gunung Gajah Trom
4 ° 56’ 44.97184”
102° 53’ 37.00496”
1205.442
-0.289
1205.731
Fort Cornwallis
5° 25’ 15.20433”
100° 20’ 40.76024”
-5.722
-11.523
5.801
Gunung Perak
5 ° 57’ 52.82155”
100° 38’ 10.93860”
852.235
-11.387
863.622
Gunung Hijau Larut
4 ° 51’ 32.64488”
100° 48’ 55.47038”
1439.089
-8.335
1447.424
Bukit Panau
5 ° 53’ 37.07975”
102° 10’ 32.24529”
226.388
-5.697
232.085
Bukit Kertau
3 ° 27’ 49.89150”
102° 37’ 18.93931”
269.258
1.383
267.875
Koordinat Rujukan Cassini-Soldner Koordinat Titik-Titik Asalan Negeri Negeri
Nama Stesen
GDM2000 Latitud, (N)
Longitud, (E)
Cassini-Soldner Utaraan Timuran (m) (m)
Johor
Gunung Belumut
2 ° 02’ 33.20196”
103° 33’ 39.83730”
0.000
0.000
N.Sembilan & Melaka
Gun Hill
2° 42’ 43.63383”
101° 56’ 22.92969”
0.000
0.000
Pahang
Gunung Sinyum
3 ° 42’ 38.69263”
102° 26’ 04.60772”
0.000
0.000
Selangor
Bukit Asa
3° 40’ 48.37778”
101° 30’ 24.48581”
0.000
0.000
Terengganu
Gunung Gajah Trom
4° 56’ 44.97184”
102° 53’ 37.00496”
0.000
0.000
P.Pinang & S. Perai
Fort Cornwallis
5° 25’ 15.20433”
100° 20’ 40.76024”
0.000
0.000
Kedah & Perlis
Gunung Perak
5 ° 57’ 52.82155”
100° 38’ 10.93860”
0.000
0.000
Perak
Gunung Hijau Larut
4° 51’ 32.64488”
100° 48’ 55.47038”
0.000
0.000
Kelantan
Bukit Panau (Baru)
5° 53’ 37.07975”
102° 10’ 32.24529”
0.000
0.000
9
TRANSFORMATION PARAMETERS USED IN EAST MALAYSIA GDM2000 EMGSN97
1.
– Geocentric Datum of Malaysia - East Malaysia Geodetic and Scientific Network - (Previous WGS84 Datum adopted by JUPEM)
GDM2000 TO EMGSN97 Num
2.
Parameter
1
Translation X (dX)
-1.04278 m
2
Translation Y (dX)
-0.30902 m
3
Translation Z (dX)
0.57544 m
4
Rotation X (Rx)
0.01102 "
5
Rotation Y (Ry)
- 0.03471 "
6
Rotation Z (Rz)
0.02865 "
7
Scale Factor
-0.01934 ppm
8
SD of Transformation
0.029 m
EMGSN97 TO GDM2000
Num
Parameter
1
Translation X (dX)
1.04278 m
2
Translation Y (dX)
0.30902 m
3
Translation Z (dX)
-0.57544 m
4
Rotation X (Rx)
- 0.01102 "
5
Rotation Y (Ry)
0.03471 "
6
Rotation Z (Rz)
- 0.02865 "
7
Scale Factor
0.01934 ppm
8
SD of Transformation
0.029 m
10
EMGSN97 BT68
3.
- East Malaysia Geodetic and Scientific Network – Borneo Triangulation 1968 (Timbalai Datum)
GDM2000 TO BT68 (SABAH) Num
4.
Parameter
1
Translation X (dX)
596.08297 m
2
Translation Y (dX)
-624.51105 m
3
Translation Z (dX)
2.77458 m
4
Rotation X (Rx)
-1.44639 "
5
Rotation Y (Ry)
-0.88308 "
6
Rotation Z (Rz)
1.82849 "
7
Scale Factor
-10.45511 ppm
BT68 TO GDM2000 (SABAH) Num
Parameter
1
Translation X (dX)
-596.09491 m
2
Translation Y (dX)
624.51262 m
3
Translation Z (dX)
-2.78150 m
4
Rotation X (Rx)
1.44640 "
5
Rotation Y (Ry)
0.88308 "
6
Rotation Z (Rz)
-1.82849 "
7
Scale Factor
10.45516 ppm
11
5.
EMGSN97 TO BT68 (SABAH)
Num
6.
Parameter
1
Translation X (dX)
597.12574 m
2
Translation Y (dX)
-624.20202 m
3
Translation Z (dX)
2.19914 m
4
Rotation X (Rx)
-1.45741 m
5
Rotation Y (Ry)
-0.84837 "
6
Rotation Z (Rz)
1.79984 "
7
Scale Factor
-10.43577ppm
8
SD of Transformation
0.597 m
BT68 (SABAH) TO EMGSN97
Num
Parameter
1
Translation X (dX)
-597.13759 m
2
Translation Y (dX)
624.20367 m
3
Translation Z (dX)
-2.20599 m
4
Rotation X (Rx)
1.45742 "
5
Rotation Y (Ry)
0.84836 "
6
Rotation Z (Rz)
-1.79984 "
7
Scale Factor
10.43582ppm
8
SD of Transformation
0.597 m
12
EMGSN97 BT68
7.
- East Malaysia Geodetic and Scientific Network – Borneo Triangulation 1968 (Timbalai Datum)
GDM2000 TO BT68 (SARAWAK) Num
8.
Parameter
1
Translation X (dX)
519.24719 m
2
Translation Y (dX)
-676.12410 m
3
Translation Z (dX)
83.69672 m
4
Rotation X (Rx)
1.28440 "
5
Rotation Y (Ry)
-0.51514 "
6
Rotation Z (Rz)
4.79005 "
7
Scale Factor
-9.39450 ppm
BT68 TO GDM2000 (SARAWAK) Num
Parameter
1
Translation X (dX)
-519.26763 m
2
Translation Y (dX)
676.11908 m
3
Translation Z (dX)
-83.69458 m
4
Rotation X (Rx)
-1.28439 "
5
Rotation Y (Ry)
0.51517 "
6
Rotation Z (Rz)
-4.79004 "
7
Scale Factor
9.39456 ppm
13
9.
EMGSN97 TO BT68 (SARAWAK)
Num
10.
Parameter
1
Translation X (dX)
520.28997 m
2
Translation Y (dX)
-675.81511 m
3
Translation Z (dX)
83.12128 m
4
Rotation X (Rx)
1.27338 "
5
Rotation Y (Ry)
-0.48043 "
6
Rotation Z (Rz)
4.76140 "
7
Scale Factor
-9.37516 ppm
8
SD of Transformation
0.648 m
BT68 (SARAWAK) TO EMGSN97
Num
Parameter
1
Translation X (dX)
-520.31032 m
2
Translation Y (dX)
675.81011 m
3
Translation Z (dX)
-83.11909 m
4
Rotation X (Rx)
-1.27337 "
5
Rotation Y (Ry)
0.48046 "
6
Rotation Z (Rz)
-4.76139 "
7
Scale Factor
9.37522 ppm
8
SD of Transformation
0.648 m
14
FAKTOR PENUKARAN KOORDINAT DARI RSO KE CASSINI-SOLDNER DAN SEBALIKNYA
JOHOR
ORIGIN CASSINI N = 0.0
E = 0.0
ORIGIN RSO N = 11227.927 E = 30745.124 R1 = -0.0098: A1 = -2.0871: A2 = -5.27113: A3 = -0.47547: A4 = -0.64384: A5 = 0.58805 R2 = 0.021: B1 = 5.29886: B2 = -1.83579: B3 = -0.74017: B4 = 0.17978: B5 = -0.66614
NS/MELAKA ORIGIN CASSINI N = -47.152
E = -12.03
ORIGIN RSO N = 14918.998
E = 21786.154
R1 = -0.0132: A1 = 0.04887: A2 = -19.7519: A3 = -5.29544: A4 = -1.48678: A5 = 1.39966 R2 = -0.011: B1 = 19.88167: B2 = -0.08787: B3 = -3.60882: B4 = 2.40011: B5 = -1.63052
SELANGOR ORIGIN CASSINI N = 2781.802
E = -1081.656
ORIGIN RSO N = 20245.21
E = 19407.061
R1 = 0.00454: A1 = -1.05487: A2 = -26.99523: A3 = -4.56972: A4 = -2.38486: A5 = 1.43565 R2 = -0.01114: B1 = 27.09565: B2 = -0.88007: B3 = -4.10737: B4 = 2.26095: B5 = -.38064
15
PERAK UTARA ORIGIN CASSINI N = 6633.947
E = 0.00
ORIGIN RSO N = 26737.765
E = 15613.508
R1 = 0.0097: A1 = -1.26936: A2 = -38.99859: A3 = -2.48409: A4 = -0.09546: A5 = 0.38284 R2 = -0.0085: B1 = 38.94896: B2 = -1.195: B3 = -0.4236: B4 = 1.13201: B5 = -0.44895
PERAK SELATAN ORIGIN CASSINI N = 6633.947
E = 0.00
ORIGIN RSO N = 26737.765
E = 15613.508
R1 = 0.0164: A1 = -0.94169: A2 = -39.34054: A3 = -4.55691: A4 = -1.11538: A5 = 1.7355 R2 = 0.0098: B1 = 39.34524: B2 = -0.98511: B3 = -2.53941: B4 = 2.35634: B5 = -1.56404
PULAU PINANG ORIGIN CASSINI N = 0.00 ORIGIN RSO N = 29837.058
E = 0.00
E = 13032.613
R1 = 0.0035: A1 = -0.70331: A2 = -48.434: A3 = -7.83333: A4 = 0: A5 = 0 R2 = -0.002: B1 = 47.88313: B2 = -0.97433: B3 = 0: B4 = 0: B5 = 0
16
KEDAH/PERLIS ORIGIN CASSINI N = 0.00
E = 0.00
ORIGIN RSO N = 32818.535
E = 14652.327
R1 = 0.0229: A1 = -1.67791: A2 = -43.47877: A3 = -0.78177: A4 = -0.71284: A5 = -0.00789 R2 = -0.0139: B1 = 43.48222: B2 = -1.60907: B3 = 0.02231: B4 = 0.28692: B5 = -0.05668
KELANTAN ORIGIN CASSINI N = 0.00
E = 0.00
ORIGIN RSO N = 32402.468
E = 23123.367
R1 = -0.0055: A1 = 0.09802: A2 = -16.90028: A3 = 3.08499: A4 = 1.30902: A5 = -0.43245 R2 = 0.0093: B1 = 16.79903: B2 = 0.03457: B3 = 2.12603: B4 = -1.83988: B5 = 1.14088
TERENGGANU ORIGIN CASSINI N = 0.00
E = 0.00
ORIGIN RSO N = 27187.737
E = 27071.372
R1 = 0.0023: A1 = 0.12995: A2 = -8.66038: A3 = 4.4369: A4 = 1.61249: A5 = -1.96429 R2 = 0.0022: B1 = 8.65674: B2 = 0.21035: B3 = 3.95148: B4 = -2.29659: B5 = 2.52198
17
PAHANG TIMUR LAUT ORIGIN CASSINI N = 0.00
E = 0.00
ORIGIN RSO N = 20402.611
E = 24530.257
R1 = 0.0074: A1 = -1.85804: A2 = -15.531: A3 = -0.26344: A4 = 0.6903: A5 = -0.80353 R2 = 0.0167: B1 = 15.74953: B2 = -1.98886: B3 = 1.13755: B4 = -0.37557: B5 = 0.92214
PAHANG TENGGARA ORIGIN CASSINI N = 0.00
E = 0.00
ORIGIN RSO N = 20402.611
E = 24530.257
R1 = 0.1201: A1 = -0.65021: A2 = -15.75245: A3 = -3.5823: A4 = 0.62127: A5 = -0.85946 R2 = -0.1127: B1 = 15.98562: B2 = -1.29342: B3 = 1.27091: B4 = 1.81814: B5 = 0.1889
PAHANG BARAT DAYA ORIGIN CASSINI N = 0.00
E = 0.00
ORIGIN RSO N = 20402.611
E = 24530.257
R1 = -0.019: A1 = -2.0555: A2 = -15.85: A3 = -0.87963: A4 = -0.85008: A5 = 0.51332 R2 = 0.0142: B1 = 15.96743: B2 = -1.75774: B3 = -0.77691: B4 = 0.84104: B5 = -0.57895
18
PAHANG BARAT LAUT ORIGIN CASSINI N = 0.00
E = 0.00
ORIGIN RSO N = 20402.611
E = 24530.257
R1 = -0.0402: A1 = -1.17721: A2 = -15.97246: A3 = 2.36266: A4 = -0.47438: A5 = 0.31267 R2 = -0.0392: B1 = 16.45555: B2 = -1.60681: B3 = 0.79414: B4 = -1.33406: B5 = 0.56153
19
RSO KE CASSINI - SOLDNER
Anggaran Pertama
N(CASS)1 = ∆N(RSO) - (R1+X1A1+Y1A2+X1Y1A3+X1²A4+Y1²A5) E(CASS)1 = ∆E(RSO) - (R2+X1B1+Y1B2+X1Y1B3+X1²B4+Y1²B5) N(CASS)1 E(CASS)1 ∆N(RSO) ∆E(RSO) X1 Y1
: : : : : :
Koordinat Cassini Utara/Selatan – Anggaran 1 Koordinat Cassini Timur/Barat – Anggaran 1 Koordinat Utara RSO Stesen – Koordinat Utara Origin Koordinat Timur RSO Stesen – Koordinat Timur Origin ∆N (RSO)/10000 ∆E (RSO)/10000
Anggaran Kedua : N(CASS)Final E(CASS)Final X2 Y2
= =
: :
∆N(RSO) - (R1+X2A1+Y2A2+X2Y2A3+X2²A4+Y2²A5) ∆E(RSO) - (R2+X2B1+Y2B2+X2Y2B3+X2²B4+Y2²B5)
N(CASS)1) /10000 E(CASS)1) /10000
20
CONTOH PENGIRAAN DARI RSO KE CASSINI SOLDNER
Negeri : Origin :
Johor G. Belumut
Koordinat Origin Negeri Johor
CASS-U: CASS-T:
0.00 Rantai = 0.00 Meter 0.00 Rantai = 0.00 Meter
Koordinat Origin dalam RSO
RSO-U : RSO-T:
11227.927 rantai 30745.124 rantai
Unit rantai didarab dengan factor penukaran
RSO-U : RSO-T :
11227.927 X 20.11678249 = 225869.7653 meter 30745.124 X 20.11678249 = 618492.9721 meter
Faktor
R1 R2 A1 A2 A3 A4
-0.0098 0.021 -2.0871 -5.27113 -0.47547 -0.64384
A5 B1 B2 B3 B4 B5
0.58805 5.29886 -1.83579 -0.74017 0.17978 -0.66614
Contoh Koordinat Stesen yang hendak dikira:
RSO-U: RSO-T:
14168.94900 Rantai 29246.11700 Rantai
Anggaran Pertama Dari formula N(CASS)1 = ∆N(RSO) - (R1+X1A1+Y1A2+X1Y1A3+X1²A4+Y1²A5)
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E(CASS)1 = ∆E(RSO) - (R2+X1B1+Y1B2+X1Y1B3+X1²B4+Y1²B5) ∆N(RSO) = Perbezaan Koordinat Utara Stesen yang hendak dikira dengan
koordinat Utara stesen origin (RSO) = 14168.94900 - 11227.927 = 2941.02200 Rantai ∆E(RSO) = Perbezaan Koordinat Timur Stesen yang hendak dikira dengan
koordinat Timur stesen origin (RSO) = 29246.11700 - 30745.124 = -1499.00700 Rantai X1: Y1:
= ∆N(RSO)/10000 = 2941.02200/10000 = 0.2941022 = ∆E(RSO)/10000 = -1499.00700/10000 = -0.1499007
N(CASS)1 =
E(CASS)1 =
2941.02200 – [(-0.00980)+(-0.613820702)+0.790146077+0.02096163+ -0.055689652+ 0.013213613] 2941.02200 - 0.14501 = 2940.87699 -1499.00700 – [0.02100+1.558406383+0.275186206+0.032631228+ 0.01555027+(-0.014968312)] -1499.00700 - 1.88781 = -1500.89481
Anggaran Kedua Dari Formula N(CASS)Final = ∆N(RSO) - (R1+X2A1+Y2A2+X2Y2A3+X2²A4+Y2²A5) E(CASS)Final = ∆E(RSO) - (R2+X2B1+Y2B2+X2Y2B3+X2²B4+Y2²B5) X2 Y2
= Nilai N(Cass)1 dibahagi dengan 10000 = 2940.87699/10000 = 0.294087699 = Nilai E(Cass)1 dibahagi dengan 10000 = -1500.89481/10000 = -0.150089481
N(CASS)Final
= 2941.02200-[(-0.00980)+( -0.613790436)+ 0.791141164+0.020986994 +(-0.05568416)+ 0.013246915] = 2941.02200 - 0.14610 = 2940.8759 unit dalam rantai
E(CASS)Final
=
-1499.00700-[0.02100+1.558329544+0.275532768+0.032670711 +0.015548736+(-0.015006037)] = -1499.00700-1.88808 = -1500.89508 unit dalam rantai
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CASSINI-SOLDNER KE RSO
N(RSO) = ∆N(CASS) + N(ORSO)+(R1+XA1+YA2+XYA3+X²A4+Y²A5) E(RSO) = ∆E(CASS) + E(ORSO)+(R2+XB1+YB2+XYB3+X²B4+Y²B5) ∆N(CASS) ∆E(CASS)
N(ORSO) E(ORSO) X Y
: : : : : :
Koordinat Utara Cassini Stesen – Koordinat Utara Origin Koordinat Timur Cassini Stesen – Koordinat Timur Origin Koordinat Utara Stesen Origin dalam RSO Koordinat Timur Stesen Origin dalam RSO ∆N(CASS)/10000 ∆E (CASS)/10000
Semua nilai adalah dalam unit rantai ( Guna nilai 20.11678249 sebagai faktor penukaran)
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GDM2000
RSO GEOSENTRIK
CASSINI GEOSENTRIK
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