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Exam Answer TemplatesGELE · Geodesy

GELE Geodesy — Satellite Geodesy and GNSSExam Answer Templates

Step-by-step answer templates for Satellite Geodesy and GNSS, from the Geodesy part of Super Tutor's GELE review.

Satellite Geodesy and GNSS - Exam Answer Templates

In the PRC Geodetic Engineer Licensure Examination, how you write your answer is just as important as knowing the correct answer. Examiners follow strict marking schemes, and marks are awarded for specific keywords, correct formula application, and logical answer structure. These templates show you exactly how a perfect answer looks for each mark level — from 1-mark very short answers to 5-mark long answers. Mastering these structures will help you present your knowledge clearly, avoid unnecessary mark deductions, and maximize your score in the Satellite Geodesy and GNSS portion of the board exam.

Answer templates

What is a pseudorange in GNSS positioning?

Observables — Pseudorangeeasyvery short answer1 mark

Examiner tip

The single mark is awarded for the keyword 'receiver clock bias' combined with the formula. If you include both in one sentence, you secure the mark even if your wording is not perfect.

Model answer

A pseudorange is the apparent distance from a GNSS receiver to a satellite, computed as ρ = c Δt, where c is the speed of light and Δt is the measured signal travel time. It is called 'pseudo' because it contains the receiver clock bias error.

Answer structure

  • Line 1: State the definition and formula ρ = c Δt [1 mark]

Scoring breakdown

1 mark

Criteria

Correct definition including reference to receiver clock bias OR the formula ρ = c Δt with identification of variables

Common mark deductions

  • Writing 'true range' instead of emphasizing the clock bias makes the answer incomplete
  • Omitting the formula or not defining the variables loses the technical precision mark
  • Writing 'pseudo because of satellite clock' is incorrect — the bias is in the receiver clock

Key phrases to include

  • pseudorange
  • ρ = c Δt
  • receiver clock bias
  • speed of light
  • signal travel time

State the minimum number of satellites required for a 3-D GNSS fix and justify your answer.

Positioning Principleeasyvery short answer1 mark

Examiner tip

Board exams often ask this as a one-mark item. The single mark is always tied to naming the clock bias — never leave out that specific phrase.

Model answer

A minimum of four (4) satellites is required. Three satellites would solve three position unknowns (X, Y, Z), but the receiver clock bias Δt is a fourth unknown, necessitating a fourth pseudorange equation.

Answer structure

  • Line 1: State the number (4) [0.5 mark]
  • Line 2: Name the fourth unknown as receiver clock bias Δt [0.5 mark]

Scoring breakdown

1 mark

Criteria

Stating four satellites AND identifying the receiver clock bias as the reason — both parts required for the full mark

Common mark deductions

  • Writing '3 satellites' as the answer — this is the most common and fatal error
  • Saying '4 satellites because of accuracy' does not earn the mark — the reason must be the clock bias
  • Writing 'satellite clock bias' instead of 'receiver clock bias' is technically incorrect

Key phrases to include

  • four satellites
  • receiver clock bias
  • fourth unknown
  • three coordinates X Y Z

What does DOP stand for, and what does a low DOP value indicate?

Errors and DOPeasyvery short answer1 mark

Examiner tip

Remember: DOP and accuracy move in the same direction — both high means poor result, both low means good result. The examiner wants to see you connect DOP to satellite geometry explicitly.

Model answer

DOP stands for Dilution of Precision. A low DOP value indicates good satellite geometry (well-spread satellites), which results in better (more accurate) positioning.

Answer structure

  • Line 1: Full expansion of acronym DOP [0.5 mark]
  • Line 2: Interpretation — low DOP = good geometry = better accuracy [0.5 mark]

Scoring breakdown

1 mark

Criteria

Correct expansion of DOP AND correct statement that low DOP = good geometry / better accuracy

Common mark deductions

  • Stating that high DOP is better — this is reversed and loses the mark
  • Expanding DOP incorrectly (e.g., 'Degree of Precision')
  • Not relating DOP to geometry — saying only 'low DOP = more accurate' without mentioning geometry is incomplete

Key phrases to include

  • Dilution of Precision
  • satellite geometry
  • low DOP
  • well-spread satellites
  • better accuracy

A GPS signal has a measured travel time of Δt = 0.072 s. Calculate the pseudorange.

Observables — Pseudorangeeasynumerical2 marks

Examiner tip

Always write c = 299,792,458 m/s explicitly. The examiner awards one mark for the method (formula + substitution) and one mark for the correct answer with units. Show all steps even for simple multiplication.

Model answer

Given: Δt = 0.072 s, c = 299,792,458 m/s

Using the pseudorange formula:
ρ = c × Δt
ρ = 299,792,458 × 0.072
ρ = 21,585,057 m
ρ ≈ 21,585 km

∴ The pseudorange is approximately 21,585 km.

Answer structure

  • Line 1: State given data with correct units [0.5 mark]
  • Line 2: Write the formula ρ = c Δt [0.5 mark]
  • Line 3: Substitute and compute [0.5 mark]
  • Line 4: State the final answer with correct SI unit (m or km) [0.5 mark]

Scoring breakdown

1 mark

Criteria

Correct formula ρ = c Δt and correct substitution of c = 299,792,458 m/s

1 mark

Criteria

Correct numerical answer (21,585,057 m or equivalent in km) with proper SI unit

Common mark deductions

  • Using c = 3 × 10^8 m/s (approximate) instead of the exact value — may cause minor rounding but generally acceptable if stated
  • Reporting the answer without units (metres or km) loses the unit mark
  • Not showing the formula step loses the method mark even if the final number is correct

Key phrases to include

  • ρ = c Δt
  • c = 299,792,458 m/s
  • 21,585 km
  • pseudorange

The user-equivalent range error (UERE) is σ = 2.5 m and the Horizontal DOP (HDOP) is 1.8. Estimate the horizontal positioning accuracy.

Errors and DOPeasynumerical2 marks

Examiner tip

The question specifies horizontal accuracy, so use HDOP specifically. Always match the DOP type to the accuracy dimension being computed. The formula must appear explicitly on your paper.

Model answer

Given: σ = 2.5 m, HDOP = 1.8

Using the accuracy formula:
Horizontal Accuracy ≈ HDOP × σ
Horizontal Accuracy ≈ 1.8 × 2.5
Horizontal Accuracy ≈ 4.5 m

∴ The estimated horizontal positioning accuracy is 4.5 m.

Answer structure

  • Line 1: Identify given values with labels [0.5 mark]
  • Line 2: Write Accuracy ≈ DOP × σ [0.5 mark]
  • Line 3: Substitute HDOP and σ correctly [0.5 mark]
  • Line 4: State final answer in metres [0.5 mark]

Scoring breakdown

1 mark

Criteria

Correct formula Accuracy = HDOP × σ with correct identification of HDOP (not PDOP or VDOP)

1 mark

Criteria

Correct answer of 4.5 m with unit

Common mark deductions

  • Confusing HDOP with PDOP — using the wrong DOP type for horizontal accuracy loses a mark
  • Dividing σ by HDOP instead of multiplying — a conceptual error that loses both marks
  • Not writing the formula before substituting

Key phrases to include

  • HDOP
  • Accuracy ≈ DOP × σ
  • 4.5 m
  • horizontal accuracy

Differentiate between pseudorange and carrier-phase GNSS observables.

Observables — Pseudorange and Carrier Phasemediumshort answer2 marks

Examiner tip

For any 'differentiate' question, structure your answer as a clear two-part comparison. The examiner is specifically checking for 'integer ambiguity' as the distinguishing concept of carrier phase — do not omit it.

Model answer

Pseudorange is measured by correlating the code signal timing, giving a range estimate ρ = c Δt with metre-level accuracy (~1–3 m), but it requires no ambiguity resolution.

Carrier-phase measures the phase of the carrier wave (L1 = 19 cm wavelength for GPS), providing millimetre-level accuracy (~1–10 mm). However, it includes an unknown integer number of whole wavelengths called the integer ambiguity, which must be resolved before precise positioning is possible.

Answer structure

  • Point 1: Define pseudorange with accuracy level (metre) [1 mark]
  • Point 2: Define carrier phase with accuracy level (mm) and mention integer ambiguity [1 mark]

Scoring breakdown

1 mark

Criteria

Correct description of pseudorange: code-based, ρ = c Δt, metre-level accuracy

1 mark

Criteria

Correct description of carrier phase: phase measurement, mm-level accuracy, integer ambiguity must be resolved

Common mark deductions

  • Not mentioning integer ambiguity for carrier phase — this is the key distinguishing feature
  • Stating carrier phase has metre accuracy — this is incorrect and shows conceptual confusion
  • Omitting accuracy levels entirely

Key phrases to include

  • code correlation
  • pseudorange ρ = c Δt
  • metre-level
  • carrier phase
  • millimetre-level
  • integer ambiguity

Name four major sources of error in GNSS positioning.

Errors and DOPeasyshort answer2 marks

Examiner tip

Board exams often accept 'any four of five common errors.' Always list the classic four (ionosphere, troposphere, satellite clock, multipath) to be safe. Add a brief parenthetical description to each for maximum credit.

Model answer

The four major GNSS error sources are:

  1. Satellite clock and orbit errors — inaccuracies in the broadcast satellite clock correction and ephemeris.
  2. Ionospheric delay — signal retardation by free electrons in the ionosphere (~5–15 m).
  3. Tropospheric delay — signal slowing due to atmospheric water vapor and dry gas (~2.5 m zenith).
  4. Multipath — reflection of signals off buildings or terrain before reaching the antenna.

(Receiver noise is also acceptable as a fifth source.)

Answer structure

  • Item 1: Satellite clock/orbit errors [0.5 mark]
  • Item 2: Ionospheric delay [0.5 mark]
  • Item 3: Tropospheric delay [0.5 mark]
  • Item 4: Multipath [0.5 mark]

Scoring breakdown

2 marks

Criteria

One mark per two correctly named and briefly described error sources; four correct sources earn full 2 marks

Common mark deductions

  • Listing only names without any brief description — some marking schemes require at least a phrase of explanation
  • Repeating similar errors (e.g., 'ionosphere' and 'atmosphere') as separate items
  • Writing 'weather' instead of 'tropospheric delay' — use precise geodetic terminology

Key phrases to include

  • ionospheric delay
  • tropospheric delay
  • satellite clock
  • orbit errors
  • multipath
  • receiver noise

Explain the principle of Differential GNSS (DGPS) and state its achievable accuracy.

Differential GNSS and RTKmediumshort answer3 marks

Examiner tip

The 3-mark question tests Definition (1) + Mechanism (1) + Accuracy (1). Each sentence should target exactly one mark. Write 'base on known coordinates' and 'common error cancellation' — these are the two examiner triggers.

Model answer

Differential GNSS (DGPS) is a positioning technique that uses two receivers simultaneously: a base (reference) station placed on a point of known coordinates, and a rover receiver at the unknown point.

Principle: The base station computes the difference between its known position and its GNSS-derived position, generating range corrections. These corrections are transmitted to the rover, which applies them to its own measurements. Because both receivers are in proximity, they experience nearly the same satellite clock, orbit, ionospheric, and tropospheric errors — applying the base corrections cancels these common errors.

Achievable accuracy: DGPS (code-based differential) achieves centimetre-to-decimetre accuracy (~0.1–1 m), significantly better than standalone GNSS (~3–5 m).

Answer structure

  • Sentence 1: Define DGPS and its two components (base + rover) [1 mark]
  • Sentence 2: Explain the correction mechanism — base computes corrections, rover applies them [1 mark]
  • Sentence 3: State achievable accuracy with value (~0.1–1 m) [1 mark]

Scoring breakdown

1 mark

Criteria

Correct identification of base (reference) station on known coordinates and rover

1 mark

Criteria

Correct explanation of how corrections are computed and applied to cancel common errors

1 mark

Criteria

Correct accuracy range stated in metres (cm-to-dm or ~0.1–1 m)

Common mark deductions

  • Confusing DGPS (code-based, decimetre) with RTK (carrier-phase, centimetre) — they have different accuracy levels
  • Not explaining the mechanism of error cancellation — just saying 'it uses two receivers' is insufficient
  • Not stating a numerical accuracy value

Key phrases to include

  • reference (base) station
  • known coordinates
  • range corrections
  • common errors cancelled
  • rover
  • 0.1–1 m accuracy

Explain Real-Time Kinematic (RTK) GNSS and compare it with static differential GNSS in terms of accuracy and application.

Differential GNSS and RTKmediumshort answer3 marks

Examiner tip

The keyword 'integer ambiguity resolution' is the single most important phrase in any RTK answer. Never write an RTK answer without it. Examiners will check for it specifically.

Model answer

RTK (Real-Time Kinematic) GNSS is a carrier-phase differential positioning method in which a base station on a known point transmits carrier-phase observations and corrections to a rover in real time via a radio or cellular data link.

Comparison with Static Differential GNSS:

  • RTK achieves centimetre-level accuracy (~1–3 cm) because it resolves the integer ambiguity of the carrier phase (wavelength ~19 cm for GPS L1).
  • Static differential GNSS (DGPS) uses code pseudoranges and achieves decimetre-to-metre accuracy (~0.1–1 m).

Applications: RTK is used for construction stake-out, topographic surveys, and control densification where real-time cm accuracy is required. Static DGPS suits navigation and GIS data collection where decimetre accuracy suffices.

Answer structure

  • Sentence 1: Define RTK — carrier-phase differential, real-time, base + rover [1 mark]
  • Sentence 2: State RTK accuracy (~1–3 cm) with reason (carrier phase + integer ambiguity resolution) [1 mark]
  • Sentence 3: Compare with DGPS accuracy (~0.1–1 m) and give one application each [1 mark]

Scoring breakdown

1 mark

Criteria

RTK defined as real-time carrier-phase differential method with base and rover

1 mark

Criteria

RTK accuracy ~1–3 cm stated with reference to carrier-phase integer ambiguity resolution

1 mark

Criteria

Correct comparison: DGPS = dm accuracy; one valid application for each method

Common mark deductions

  • Stating RTK accuracy as 'metre-level' — this is incorrect; RTK is centimetre-level
  • Omitting 'integer ambiguity resolution' as the reason for RTK's high accuracy
  • Not distinguishing between code-based (DGPS) and phase-based (RTK)

Key phrases to include

  • carrier-phase differential
  • integer ambiguity resolution
  • real-time
  • 1–3 cm
  • base station
  • rover
  • stake-out

A GPS receiver on a construction site shows PDOP = 4.0 and the user-equivalent range error is σ = 3 m. (a) Compute the position accuracy. (b) Is this DOP value acceptable for precise engineering survey? Justify.

Errors and DOPmediumnumerical3 marks

Examiner tip

For 'compute and assess' questions, always complete the numerical part first, then use that result to justify your engineering judgment. State a threshold (PDOP ≤ 3) and compare — this earns the assessment mark.

Model answer

(a) Position Accuracy:
Given: PDOP = 4.0, σ = 3 m
Accuracy ≈ PDOP × σ
Accuracy ≈ 4.0 × 3.0 = 12 m

∴ Estimated 3-D position accuracy ≈ 12 m.

(b) Acceptability:
A PDOP of 4.0 is generally considered marginal to poor for precise engineering surveys. For geodetic and engineering control surveys, PDOP should ideally be ≤ 3 (or PDOP ≤ 2 for highest precision). A PDOP of 4.0 produces ~12 m accuracy with this range error, which is unacceptable for stake-out or control densification requiring centimetre accuracy. The surveyor should wait for better satellite geometry (PDOP ≤ 3) or use RTK with carrier-phase processing.

Answer structure

  • Part (a) Step 1: Write formula Accuracy = PDOP × σ [0.5 mark]
  • Part (a) Step 2: Substitute and compute = 12 m [0.5 mark]
  • Part (b) Step 1: State the acceptable PDOP threshold (≤ 3 or ≤ 2 for high precision) [1 mark]
  • Part (b) Step 2: Conclude that PDOP = 4.0 is unacceptable and give practical recommendation [1 mark]

Scoring breakdown

1 mark

Criteria

Correct computation: Accuracy = 4.0 × 3 = 12 m using formula Accuracy = PDOP × σ

1 mark

Criteria

Correct statement of acceptable PDOP threshold (≤ 3 for engineering surveys)

1 mark

Criteria

Justified conclusion that PDOP = 4.0 is unacceptable for precision work, with recommendation

Common mark deductions

  • Not stating a threshold value for acceptable PDOP — the conclusion must be supported by a number
  • Computing accuracy without showing the formula step
  • Concluding PDOP = 4.0 is 'acceptable' — this is incorrect for engineering precision work

Key phrases to include

  • PDOP × σ
  • 12 m
  • PDOP ≤ 3
  • marginal geometry
  • wait for better satellite geometry

Why must RTK GNSS results be transformed before tying them to existing PRS92 control monuments in the Philippines?

Reference Frameshardshort answer3 marks

Examiner tip

Any question about reference frames in the Philippine context should mention NAMRIA, PRS92, and at least one relevant law (RA 8560 or PD 1529). This shows legal and professional awareness, which is rewarded in the board exam.

Model answer

RTK GNSS positions are computed in the WGS84 geocentric reference frame (or more precisely in the ITRF realization used by the satellite system). The WGS84 ellipsoid and its origin, orientation, and scale are defined globally and are not identical to the Philippine Reference System of 1992 (PRS92).

PRS92 is the national geodetic datum of the Philippines, defined by a best-fit ellipsoid orientation and scale for the Philippine archipelago. WGS84 and PRS92 differ by datum transformation parameters (translation, rotation, and scale factor) derived by NAMRIA.

If RTK coordinates in WGS84 are directly used with PRS92 control monuments without transformation, position discrepancies of several metres can result, rendering surveys non-compliant with RA 8560 (Philippine Geodetic Engineering Act) and inconsistent with existing cadastral records under PD 1529.

Answer structure

  • Sentence 1: State that RTK outputs coordinates in WGS84/ITRF, not PRS92 [1 mark]
  • Sentence 2: Explain that WGS84 and PRS92 differ due to different datum definition (origin, orientation, scale) [1 mark]
  • Sentence 3: State the consequence of not transforming — metre-level discrepancy and legal non-compliance [1 mark]

Scoring breakdown

1 mark

Criteria

RTK results are in WGS84/ITRF geocentric frame, not the local datum PRS92

1 mark

Criteria

WGS84 and PRS92 have different datum parameters — they are not coincident

1 mark

Criteria

Consequence: metre-level errors or non-compliance with Philippine geodetic standards

Common mark deductions

  • Saying 'WGS84 and PRS92 are the same' — they are not; this is a fundamental conceptual error
  • Not mentioning a consequence (the reason why the transformation matters)
  • Omitting the Philippine legal framework — references to RA 8560 and PD 1529 demonstrate professional awareness expected in the board exam

Key phrases to include

  • WGS84
  • ITRF
  • PRS92
  • datum transformation
  • NAMRIA
  • RA 8560
  • geocentric frame

Describe the trilateration principle used in GNSS positioning, explain why a minimum of four satellites is needed for a 3-D fix, and compute the pseudorange to a satellite given a signal travel time of Δt = 0.064 s.

Positioning Principle and Observableshardlong answer5 marks

Examiner tip

Five-mark long answers are graded on completeness and structure. Follow the four-part structure: Principle → Justification → Computation → Application. Each part targets one mark. The fifth mark is often an 'integration' mark for showing how the parts connect — here it is the reference frame application.

Model answer

I. Trilateration Principle in GNSS

GNSS determines the position of a receiver by measuring its distance (range) to multiple satellites whose positions are precisely known from broadcast ephemeris data. This is called trilateration — the simultaneous intersection of range spheres.

Each satellite i broadcasts its position (Xi, Yi, Zi) and the receiver measures the travel time Δti of the signal. The measured range is:

ρi = c × Δti

where c = 299,792,458 m/s. The geometric relationship is:

ρi = √[(Xi − X)² + (Yi − Y)² + (Zi − Z)²] + c·Δt_clock

where (X, Y, Z) are the receiver coordinates and Δt_clock is the receiver clock bias.

II. Why Four Satellites are Required

A 3-D fix requires solving for four unknowns:

  • X — receiver X-coordinate
  • Y — receiver Y-coordinate
  • Z — receiver Z-coordinate
  • Δt_clock — receiver clock bias

Three unknowns (X, Y, Z) could theoretically be solved with three satellites. However, receiver clocks are imperfect (inexpensive quartz oscillators), introducing a clock bias Δt_clock as a fourth unknown. Therefore, a minimum of four simultaneous pseudorange equations — one per satellite — is required to uniquely solve the system of four equations in four unknowns.

III. Pseudorange Computation

Given: Δt = 0.064 s, c = 299,792,458 m/s

ρ = c × Δt
ρ = 299,792,458 × 0.064
ρ = 19,186,717 m
ρ ≈ 19,187 km

∴ The pseudorange to the satellite is approximately 19,187 km. This value is consistent with the GPS orbital altitude of ~20,200 km, confirming the order of magnitude.

IV. Reference Frame Note

In the Philippines, GNSS positions are first computed in the WGS84 geocentric frame. For use with existing control monuments and cadastral records, these must be transformed to PRS92 using NAMRIA-published transformation parameters.

Answer structure

  • Part I: Define trilateration and write the range equation ρ = √[ΣΔX²] + c·Δt_clock [1 mark]
  • Part II: List all four unknowns — X, Y, Z, and receiver clock bias Δt — and explain why each requires one equation [1 mark]
  • Part III Step 1: Write ρ = c Δt with given values [1 mark]
  • Part III Step 2: Compute ρ = 19,187 km with unit, and sanity-check against orbital altitude [1 mark]
  • Part IV: Mention WGS84 output and PRS92 transformation requirement for Philippine surveys [1 mark]

Scoring breakdown

1 mark

Criteria

Correct definition of trilateration in GNSS context with the range equation written

1 mark

Criteria

All four unknowns correctly identified (X, Y, Z, and receiver clock bias Δt); role of 4th equation explained

1 mark

Criteria

Formula ρ = c Δt written with correct value of c = 299,792,458 m/s

1 mark

Criteria

Correct numerical answer ≈ 19,187 km with proper SI unit (m or km)

1 mark

Criteria

Mention of WGS84/ITRF to PRS92 transformation for Philippine application

Common mark deductions

  • Not showing all four unknowns — listing only X, Y, Z and omitting clock bias loses the key mark
  • Computing ρ = 3×10^8 × 0.064 = 19,200 km (minor rounding) — acceptable, but using the exact c value is preferred
  • Not writing the general range equation before the pseudorange formula
  • Omitting Part IV (WGS84 to PRS92) — this mark is easily earned and often skipped
  • Failing to perform a sanity check on the computed range against the known GPS orbital altitude

Key phrases to include

  • trilateration
  • ρ = c Δt
  • c = 299,792,458 m/s
  • receiver clock bias
  • four unknowns
  • four equations
  • 19,187 km
  • WGS84
  • PRS92
  • NAMRIA

Discuss the major GNSS error sources, explain how Differential GNSS reduces them, and state the role of DOP in estimating achievable accuracy. Use the formula Accuracy ≈ DOP × σ in your discussion.

Errors, DOP, and Differential GNSShardlong answer5 marks

Examiner tip

In a 5-mark discuss question, breadth and structure both matter. Use numbered lists for error sources (saves time and is clear), then switch to prose for the DGPS mechanism explanation. Always end with the Philippine professional context — this is the integrative fifth mark that many reviewees miss.

Model answer

I. Major GNSS Error Sources

GNSS positioning is affected by the following systematic and random errors:

  1. Satellite clock and orbit errors — broadcast clock corrections and ephemeris have residual errors (~1–2 m equivalent).
  2. Ionospheric delay — the ionosphere retards the code signal and advances the carrier phase, introducing position errors of 5–15 m (single-frequency).
  3. Tropospheric delay — the neutral atmosphere causes a zenith delay of ~2.3 m (dry component) and ~0.1–0.5 m (wet/humidity component).
  4. Multipath — reflected signals from buildings, terrain, or water mix with the direct signal, biasing the pseudorange (~0.3–3 m).
  5. Receiver noise — thermal noise in the tracking loop (~0.1–0.3 m).

The combined effect is quantified as the User Equivalent Range Error (UERE), denoted σ.

II. How Differential GNSS (DGPS) Reduces Errors

DGPS places a base (reference) station on a point of known geodetic coordinates. The base measures the difference between its GNSS-derived position and its surveyed position to generate pseudorange corrections. These corrections are transmitted to the rover in real time.

Because both base and rover are within the same atmospheric environment (typically < 50 km baseline), they share nearly identical ionospheric, tropospheric, and satellite clock errors. Applying the base-station corrections at the rover cancels these common-mode errors, reducing the effective UERE from ~3–5 m (standalone) to ~0.1–1 m (DGPS code) or ~0.01–0.03 m (RTK carrier-phase).

III. Role of DOP in Accuracy Estimation

Dilution of Precision (DOP) quantifies the amplification of ranging errors due to satellite geometry. When satellites are well-spread across the sky, the geometry is strong and DOP is low (good). When satellites are clustered, DOP is high (poor).

The achievable accuracy is estimated as:

Accuracy ≈ DOP × σ

Example: If σ = 2 m (after DGPS corrections) and PDOP = 2.0:
Accuracy ≈ 2.0 × 2 = 4.0 m

Types of DOP: PDOP (3-D position), HDOP (horizontal), VDOP (vertical), TDOP (time). For engineering surveys, PDOP ≤ 3 and HDOP ≤ 2 are recommended.

In Philippine practice, GNSS surveys under RA 8560 require proper observation planning — using software to predict DOP and UERE to ensure compliance with NAMRIA accuracy standards before fieldwork.

Answer structure

  • Part I: List 4–5 GNSS error sources with brief description of each [1.5 marks]
  • Part II: Explain DGPS mechanism — base on known point, corrections transmitted, common errors cancelled [1.5 marks]
  • Part III: State Accuracy ≈ DOP × σ, define DOP types, give numerical example, recommend threshold [1 mark]
  • Integration: Mention Philippine standards (RA 8560, NAMRIA) [0.5–1 bonus/integration mark depending on rubric]

Scoring breakdown

1 mark

Criteria

At least 4 correct GNSS error sources named and briefly explained (iono, tropo, satellite clock, multipath)

1 mark

Criteria

DGPS mechanism correctly described: base on known point, corrections generated and applied at rover

1 mark

Criteria

Common-mode error cancellation principle clearly explained

1 mark

Criteria

Accuracy ≈ DOP × σ formula stated and correctly applied with a numerical example

1 mark

Criteria

Practical recommendation (PDOP threshold) or Philippine regulatory context (RA 8560/NAMRIA) included

Common mark deductions

  • Listing error sources without explanation — examiner expects a brief impact magnitude for each
  • Not explaining the mechanism of error cancellation in DGPS — just saying 'corrections are applied' is insufficient
  • Omitting the formula Accuracy ≈ DOP × σ when the question explicitly asks for it
  • Not providing a numerical example for Part III
  • Omitting Philippine standards and professional context — misses the integration mark

Key phrases to include

  • ionospheric delay
  • tropospheric delay
  • multipath
  • satellite clock
  • UERE
  • common-mode error cancellation
  • Accuracy ≈ DOP × σ
  • PDOP ≤ 3
  • RA 8560
  • NAMRIA

What is the reference frame used by GPS satellites for broadcasting positions?

Reference Frameseasyvery short answer1 mark

Examiner tip

WGS84 is the GNSS broadcast frame; PRS92 is the Philippine national datum. The examiner will award the mark for WGS84 + geocentric/ECEF. These two concepts are frequently tested as a contrast pair.

Model answer

GPS satellites broadcast positions in the World Geodetic System 1984 (WGS84), which is a geocentric, Earth-centered, Earth-fixed (ECEF) reference frame maintained by the US National Geospatial-Intelligence Agency (NGA).

Answer structure

  • Line 1: Name the frame — WGS84 [0.5 mark]
  • Line 2: Brief characterization — geocentric/ECEF [0.5 mark]

Scoring breakdown

1 mark

Criteria

WGS84 named correctly AND characterized as geocentric or ECEF

Common mark deductions

  • Writing 'PRS92' as the GNSS reference frame — PRS92 is the Philippine local datum, not the GNSS output frame
  • Writing 'ITRF' only — while closely aligned to WGS84, the specific GPS broadcast reference is WGS84
  • Not characterizing the frame as geocentric

Key phrases to include

  • WGS84
  • geocentric
  • Earth-centered Earth-fixed
  • ECEF

In the context of Philippine geodetic surveying, explain what PRS92 is and how it relates to GNSS-derived coordinates.

Reference Frames — Philippine Contextmediumshort answer2 marks

Examiner tip

Questions about PRS92 are almost always paired with WGS84. The key relationship is: GNSS → WGS84 → transform using NAMRIA parameters → PRS92. Memorize this workflow and cite PD 1529 for legal context.

Model answer

PRS92 (Philippine Reference System of 1992) is the official national geodetic datum of the Philippines, adopted by NAMRIA to provide a consistent horizontal reference for all land surveys, cadastral records, and engineering works in the country. It is a local, best-fit reference system defined using ground control established in 1992.

GNSS (GPS) provides coordinates in WGS84, a global geocentric datum. Because WGS84 and PRS92 are not identical (they differ in origin, orientation, and scale), GNSS-derived WGS84 coordinates must be transformed to PRS92 using NAMRIA-derived transformation parameters before they can be tied to existing PRS92 control monuments or used in cadastral surveys under PD 1529.

Answer structure

  • Sentence 1: Define PRS92 as the Philippine national geodetic datum established by NAMRIA [1 mark]
  • Sentence 2: Explain that GNSS outputs WGS84 which must be transformed to PRS92 — not the same datum [1 mark]

Scoring breakdown

1 mark

Criteria

PRS92 defined correctly as Philippine national datum established by NAMRIA in 1992

1 mark

Criteria

GNSS is in WGS84; transformation to PRS92 is required; WGS84 ≠ PRS92

Common mark deductions

  • Stating that PRS92 and WGS84 are the same or equivalent — they are not
  • Not mentioning NAMRIA as the authority for PRS92
  • Not explaining that transformation is needed before tying to existing control

Key phrases to include

  • PRS92
  • Philippine Reference System of 1992
  • NAMRIA
  • national geodetic datum
  • WGS84
  • transformation parameters
  • PD 1529

Mark wise strategy

Write one precise definition or formula. Include the exact keyword the examiner is looking for — for GNSS topics this is usually a specific term (pseudorange, DOP, WGS84, integer ambiguity) or a formula (ρ = c Δt). Do not pad with unnecessary sentences.

1 mark1–2 sentences or one formula with values1–2 minutes

Do

  • State the exact technical term or formula in the first line
  • Include units for any numerical value
  • Write the key distinguishing characteristic (e.g., 'receiver clock bias' for 4-satellite requirement)
  • Use standard notation consistent with textbooks (ρ, c, Δt, σ)

Don't

  • Do not write long paragraphs — 1 mark = 1 key idea
  • Do not omit units in numerical answers
  • Do not confuse satellite clock with receiver clock bias
  • Do not write 'I think' or 'approximately' — be definitive

For concept questions: write a definition (1 mark) + explanation/comparison (1 mark). For numerical questions: write the formula (1 mark) + correct answer with unit (1 mark). Structure each mark as a separate, distinct point.

2 marks3–5 sentences or one fully worked numerical solution3–4 minutes

Do

  • Open with the formula or definition on the first line
  • Show all substitution steps for numerical problems
  • Use 'Point 1 / Point 2' or paragraph breaks to signal each mark clearly
  • Include a brief practical example or comparison where the question asks to 'differentiate'

Don't

  • Do not merge two distinct ideas into one vague sentence
  • Do not skip showing the formula before substituting numbers
  • Do not confuse DGPS (dm accuracy) and RTK (cm accuracy)
  • Do not omit the accuracy value when discussing GNSS methods

Use the Definition → Mechanism → Consequence/Application structure. Each component earns one mark. For numerical + assessment questions (like DOP problems), complete the computation first, then use the result to support your engineering judgment.

3 marksOne short paragraph plus bullet points, or 2–3 numbered steps5–7 minutes

Do

  • Use numbered points or labeled sections (I, II, III) for clarity
  • State a quantitative threshold or value for assessment questions (e.g., PDOP ≤ 3)
  • Mention Philippine law or NAMRIA where the question involves reference frames or professional practice
  • Write a conclusion sentence that directly answers the question

Don't

  • Do not write a vague answer without specific values or thresholds
  • Do not omit the consequence or application — the third mark is always for 'so what'
  • Do not skip the formula step in numerical parts
  • Do not use informal language — maintain professional engineering register

Follow a four-part essay structure: (I) Definition/Principle, (II) Detailed Explanation/Mechanism, (III) Numerical Example or Comparison, (IV) Application/Philippine Context. Each part targets approximately one mark. The fifth mark is usually an integration mark for coherence and professional context (RA 8560, NAMRIA, PRS92).

5 marks3–5 structured paragraphs with at least one formula and one worked numerical example10–12 minutes

Do

  • Label sections clearly: I., II., III., IV. — this shows organization and makes the examiner's job easier
  • Include at least one worked numerical example with formula, substitution, and answer
  • Reference Philippine law (RA 8560, PD 1529, CA 141) or institution (NAMRIA) at least once
  • Use precise geodetic terminology throughout (WGS84, ITRF, PRS92, UERE, PDOP, integer ambiguity)
  • End with a professional recommendation or conclusion sentence

Don't

  • Do not write a single unbroken paragraph — structure is part of the answer quality
  • Do not omit the numerical example — it demonstrates applied understanding
  • Do not spend more than 12 minutes — move on and return if time permits
  • Do not use bullet lists for the entire answer — alternate with prose for explanation sections
  • Do not forget the Philippine context — board exam answers should reflect local professional practice

General answer writing tips

  • Always state the defining equation first for numerical problems before substituting values — examiners award method marks even if the final answer contains an arithmetic error.
  • For concept questions, open with a precise one-sentence definition using exact technical terminology (e.g., 'pseudorange', 'integer ambiguity', 'DOP') because these are the keywords on the marking scheme.
  • Include correct SI units in every numerical answer — a dimensionless or wrong-unit answer loses the unit mark even when the number is correct.
  • When asked 'why' (e.g., why 4 satellites are needed), always name the extra unknown explicitly; do not just say 'because of the clock' — write 'receiver clock bias Δt is a fourth unknown'.
  • Draw a labeled sketch whenever the question mentions geometry, satellite configuration, or DOP — a clear figure earns the diagram mark and shows the examiner you understand the concept spatially.
  • Distinguish clearly between WGS84/ITRF (GNSS output frame) and PRS92 (Philippine local datum) when any question involves reference frames or tying to existing control monuments.
  • Use the accuracy formula (Accuracy ≈ DOP × σ) in exact form; do not approximate or paraphrase — examiners look for the multiplicative relationship between DOP and range error.
  • For 5-mark long answers, follow a four-part structure: Definition → Principle/Formula → Worked Detail or Comparison → Significance/Application — this mirrors the scoring breakdown used in Philippine board exams.

Diagrams

Satellite Geodesy and GNSS — Key Concepts Mind Map

This mind map shows the complete conceptual structure of the Satellite Geodesy and GNSS chapter. It connects the five major topic clusters — positioning principle, observables, errors, DOP, differential methods, and reference frames — and shows their sub-concepts. Use this to identify which template (T1–T15) covers each branch before studying.

GNSS Survey Workflow — From Field Observation to PRS92 Coordinates

This flowchart shows the complete operational workflow for a GNSS survey in the Philippine context. It covers the three positioning modes (standalone, DGPS, RTK), the DOP quality check, the mandatory WGS84-to-PRS92 transformation, and the final tie to existing control under RA 8560. Use this as an answer template structure for 5-mark long-answer questions on GNSS surveys.

Answering GNSS Numerical Problems — Step-by-Step Decision Flow

This decision flowchart guides reviewees through the exact steps to solve the two most common GNSS numerical problem types: pseudorange from travel time and positional accuracy from DOP. The sanity-check branch (range ≈ 20,000 km for GPS) is highlighted as a critical step to verify the answer before writing it in the exam.

Distribution of GNSS Exam Question Types by Mark Level

This pie chart shows the approximate distribution of GNSS-related question types in Philippine geodetic engineering board examinations based on typical exam patterns. The largest category (30%) is 1-mark very short answers testing definitions and formulas, while 5-mark long answers account for 20%. This distribution supports the recommendation to master 1-mark and 2-mark templates first, as they collectively account for 55% of GNSS marks.

Satellite Geodesy and GNSS is chapter 6 of 6 in the Geodesy part of Super Tutor's GELE review. The Geodetic Engineer Licensure Examination is given by Professional Regulation Commission (PRC) — Board of Geodetic Engineering; its dates, format and passing rules are on the GELE page. See the GELE guide.

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