Vincenty ACT

8/12/2019 Vincenty ACT

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231825498.xls.ms_office

7

ACT Ellipsoid298.250000000

6,378,770.00

1 2 3 4 5 6

GRS80 WGS84 ANS WGS72 Clarke 1858 Sphere ACT

298.2572221 298.2572236 298.25 298.26 294.26 999,999,999,999.9990

0.003 352 810 7 0.003 352 810 7 0.003 352 891 9 0.003 352 779 5 0.003 398 355 2 0.000 000 000 0

6378137 6378137 6378160 6378135 6378293.645 6371000

INSTRUCTIONS(1) Enter in Cell A5, the number of the ellipsoid required, selected from A13:G13. The name and parameters for the required e llips

automatically be shown in A5:A9.

You may enter your own parameters in User cells HI4 and A5.NOTE: Only a and 1/f need be entered, f and b are automatically calculated.

(2) Proceed to the Inverse Case or Direct Case worksheet.

6/1/2014 7:44 AM Ellipsoids


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Ellipsoid ACT Ellipsoid

Station 1 Franklin Station 2 BimberiLatitude (j1) -35 29' 12.79565" Azimuth(a12) 176 07' 39.371"Longitude(l1) 148 46' 29.66738" Ellipsoidal Dist (s) 19,350.177

Latitude (j2) -35 39' 39.14680" Reverse Azimuth (a21) 356 07' 09.149"

Longitude (l2) 148 47' 21.61799" COLOUR KEY

User input

Result

INSTRUCTIONS(1)Choose the appropriate ellipsoid parameters on the "Ellipsoids" worksheet.(2) Enter the station names in cells C2,G2 (documentation only).(3) Enter the Latitude of Station 1 in cells C3:E3, Longitude in cells C4:E4.Remember that south latitude and west longitude should be entered as negative values.(4) Enter the azimuth 1-2, in cells G3:I3.(5) Enter the ellipsoidal distance (s) in cell G4.

To see the intermediate steps, use the Excel "outlining" features:(i) SHOW the outline symbols, and then(ii) UNGROUP the hidden rows and columns as required.

This spreadsheet has been tested for use within the Australian region. While some testing has been done in other parts of theworld, the spreadsheet has not been exhaustively tested world-wide.

Although this spreadsheet is identical to the generic "Vincenty" spreadsheet, it has been configured to be used on an ellipso idwith the semi-major axis incorporating the elevation of Canberra (viz. 610 metres)

211 21101 2020202 00 coscos sincoscos )1)((tantan )2( /)(' )1( a ag fBffn bbae fab

2coscos

0 0coscos 21sinsin 1tantan sec'

20

0 2112

beta

lambdaphi Sphi betaalphaBeta sqeccentonde

s

l a

6/1/2014 7:44 AM Direct Solution


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Station 1 Franklin Station 2 BimberiLatitude(j1) -35 29' 12.79565" Latitude(j2) -35 39' 39.14678"

Longitude(l1) 148 46' 29.66738" Longitude(l2) 148 47' 21.61800"

Spheroidal Dist. (S) 19350.177

Azimuth 1-2 (a12) 176 07' 39.371" User input

Azimuth 2-1(a21) 356 07' 09.148" Result

INSTRUCTIONS(1) Choose the appropriate ellipsoid on the "Ellipsoids" worksheet.(2) Enter the station names in cells C2,G2 (documentation only).(3) Enter the latitudes in cells (C3:E3 and G3:I3). Remember that south latitude is negative.(4) Enter the longitude in cells (C4:E4 and G4:I4). Remember that west longitude is negative

To see the intermediate values, use the Excel "outlining" features:(i) SHOW the outline symbols, and then(ii) UNGROUP the hidden rows and columns as required.

This spreadsheet has been tested for use within the Australian region. While some testing has been done inother parts of the world, the spreadsheet has not been exhaustively tested world-wide.

NoteThis version has been set up to be used on the ACT "ellipsoid", which is in fact the ANS, but with the ACT'scombined scale factor built in by adding 610 metres to the major semi-diameter value for the ANS.

12

21

2

1

12 21

2

1

alpha

alpha

lambda

phi

beta

beta

a

a

l

6/1/2014 7:44 AM Reverse Solution


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231825498.xls.ms_office Test Data


Station 1 Franklin Station 2 BimberiLatitude (1) -35 29' 12.7957" Latitude (2) -35 39' 39.1468"Longitude (l1) 148 46' 29.6674" Longitude (l2) 148 47' 21.6180"Spheroidal Dist. (S) 19350.177Azimuth 1-2 (12) 176 07' 39.371"Azimuth 2-1(21) 356 07' 09.148"

6/1/2014 GDA Technical Manual

Documents

Vincenty ACT