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ODC721S - GEODESY - 1ST OPP - NOV 2023 |
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nAmlBIA UnlVERSITY
OF SCIEnCE Ano TECHnOLOGY
FACULTYOF ENGINEERINGAND THE BUILT ENVIRONMENT
DEPARTMENTOF LANDAND SPATIALSCIENCES
QUALIFICATIONS:
BACHELOROF GEOMATICS
QUALIFICATIONSCODES:
07BGEO
COURSECODE:ODC721S
DATE: November 2023
DURATION: 3 HOURS
'
QUALIFICATION LEVEL:
Level 7 - 07BGEO
COURSENAME: Geodesy
PAPER:THEORY
MARKS: 100
EXAMINER:
MODERATOR:
FIRSTOPPORTUNITYEXAMINATION QUESTION PAPER
Mr J.C. Lewis
Dr K. Owolabi
INSTRUCTIONS
1. Answer all question.
2. Write clearly and neatly.
3. Number the answers clearly.
4. Make sure your Student Number is on the EXAMINATION BOOl<(s).
THIS QUESTION PAPERCONSISTSOF 3 PAGES(Including this front page)
PERMISSiBLEMATERIAL
Calculator, ruler, pen
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Geodesy
ODC721S
1. Define and discuss the meaning of Geodesy. Your discussion should include the following, amongst
others:
(10 marks)
(a) Definition of Geodesy
(b) Three 'pillars' of Geodesy
(c) Main branches of Geodesy
2. Discussthe following movements of the Earth (use sketches if necessary):
(a) Precession and Nutation
(b) Polar Motion
[10 marks]
3. Discussthe classification of coordinate systems used in Geodesy.
[10 marks]
4. Briefly discuss the RA coordinate System.
[10 marks]
5. Briefly discuss the terms 'Geodetic Latitude', 'Astronomic Latitude,' and 'Deflection of the Vertical'.
Use a sketch if necessary.
[10 marks)
6. Explain the meaning and differences between the following:
(a) CTS
(b) ITRS
(c) ITRF
(7 marks)
7. Discussthe difference between ITRFand WGS84.
[8 marks]
8. Explain how a national geodetic coordinate system is typically defined. How was this done for the
Namibian National Geodetic Datum?
(10 marks]
9. Discuss Meridian Convergence. Your discussion should include the following, amongst others:
(a) Definition
(b) Applications and implications of meridian convergence in surveying and mapping.
[10 marks]
10. You have recorded the following observations from trig beacon Daijobe, to unknown Point A, using
a gyro theodolite and EDM:
• Geodetic azimuth: 170°15'23"
• Horizontal distance: 7325.23m (international metre)
Discussand calculate the necessary corrections that must be applied to these observations, i.norder
to calculate the Lo2217 coordinates of Point A.
Note: You must calculate the final distance and direction that will be used for the polar calculation,
but you do not have to calculate the coordinates of Point A.
Coordinates: (System: Lo2217}
Trig No. 29 (Daijobe):
Approximate coordinates of Point A:
Y+97 337.90
Y+96 098.00
X+672 615.20 MSL Elevation: 252.8m
X+679 834.00 MSL Elevation: 210m
[15 marks]
First Opportunity Question Paper
Page 2 of 3
November 2023
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Geodesy
FORMULAS:
Where:
t = T + (t - T)
and where
p = 206265 (Correction factor from radians to the seconds)
r1 = Mean radius of curvature at Point 1
(t -T)i = p. XT1R-X2z·Ym
(With p=206265, (t-T) will be in seconds)
r1 = 6 371 OOOm
-
y ~./!.sin</) + f. sirnf>c. os2<f>(.1 + 3172) - •· •
3
f = .:0l - A (longitude difference, in radians);
r,2 = e' 2 • cos2 ¢;
r = tan</)
tl.= longitude; .-10 = longitude of Central Meridian
<P= latitude
e, -- j<a2b-2 b2) ('Second Eccentricity' of the spheroid)
J _ e =
('First Eccentricity' of the spheroid)
a= semi-major axis; b= semi-minor access of reference spheroid
MSL Correction = D(H/R)
ODC721S
Corr. = S.Y2/(2R 2)
J =S+S.Y2/(2R2) =S[(1+Y2/(2R 2)]
First Opportunity Question Paper
Page 3 of 3
November 2023