Contents
1. GPS Fundamentals & Trilateration
The Global Positioning System (GPS) is a constellation of at least 24 satellites operated by the US Department of Defense orbiting approximately 20,200 km (12,550 miles) above Earth. Each satellite transmits continuous time and position signals. Your receiver uses these signals to calculate its position through a process called trilateration.
How Trilateration Works
Each GPS satellite continuously broadcasts the time the signal was sent, along with its precise orbital position (ephemeris data). Your receiver knows the speed of light (299,792 km/s), so it calculates the distance to the satellite by measuring how long the signal took to arrive. This calculated distance is called a pseudorange.
With one satellite, you're somewhere on a sphere of that radius around the satellite. With two satellites, you're on the intersection of two spheres — a circle. With three satellites, you're at one of two possible points where three spheres intersect. The fourth satellite eliminates the ambiguity and — critically — corrects for the receiver's clock error (since receiver clocks are not as accurate as the atomic clocks in the satellites).
The exam distinguishes trilateration (uses distance measurements) from triangulation (uses angle measurements). GPS uses trilateration. Traditional radio direction finding uses triangulation.
Key GPS Terms
Exam Point
GPS uses trilateration (distance), not triangulation (angles). Minimum 3 satellites for 2D position; 4 satellites for 3D position with accurate altitude. The fourth satellite also corrects receiver clock error.
2. GPS Accuracy: SA Removal, WAAS, and DGPS
Standard GPS has a theoretical accuracy of around 10-15 meters CEP (Circular Error Probable, meaning 50% of positions are within that radius). Before May 2, 2000, the US military degraded civilian GPS signals intentionally using Selective Availability (SA) — limiting accuracy to about 100 meters. SA was turned off permanently in 2000, dramatically improving civilian GPS accuracy. Two augmentation systems further improve accuracy for mariners.
GPS Accuracy Comparison
| System | Typical Accuracy | Notes |
|---|---|---|
| Standard GPS (L1) | 10-15 meters CEP | Selective Availability removed in 2000. Civilian accuracy improved dramatically. |
| WAAS (Wide Area Augmentation System) | 1-3 meters | FAA-operated. Geostationary satellites broadcast corrections. Most modern GPS receivers use WAAS automatically. |
| DGPS (Differential GPS) | 1-3 meters | USCG-operated maritime radiobeacon network. Requires DGPS receiver. Best near US coastlines. |
| SBAS (Satellite-Based Augmentation Systems) | 1-3 meters | Umbrella term including WAAS (US), EGNOS (Europe), MSAS (Japan). All use similar correction methods. |
| RTK GPS | Centimeter-level | Real-Time Kinematic. Uses phase measurements. Used in surveying. Not typical in marine navigation. |
HDOP and PDOP Explained
Even with augmentation, GPS accuracy varies based on satellite geometry. HDOP (Horizontal Dilution of Precision) quantifies this geometry. Imagine satellites spread evenly around the sky at different elevations: that's optimal geometry with low HDOP. If satellites cluster in one part of the sky, the spheres of their pseudoranges overlap at shallow angles, making the intersection imprecise — HDOP rises.
GPS Error Sources
3. Chart Datums vs. GPS Datum
One of the most tested — and most practically dangerous — topics in electronic navigation is the relationship between the datum your GPS uses and the datum on which your chart was created. A position that looks like it's in the center of a channel can plot 200 meters off on a mismatched chart.
What Is a Datum?
The Earth is not a perfect sphere — it bulges at the equator and is slightly flattened at the poles. A geodetic datum is a mathematical model that defines the size and shape of the Earth and the origin point of the coordinate system. Different datums position the coordinate grid slightly differently on the Earth's surface.
GPS uses WGS-84, which is a global datum optimized for satellite navigation. Older charts used local datums (like NAD-27 for North America) that were optimized for surveying accuracy in a specific region. The coordinate shift between datums can be significant enough to ground a vessel navigating in shoal water.
| Datum | Region | Offset from WGS-84 | Notes |
|---|---|---|---|
| WGS-84 | Worldwide (GPS) | Reference datum — no offset | Used by all GPS receivers |
| NAD-83 | North America | Within 1 meter of WGS-84 | Used on modern NOAA charts |
| NAD-27 | Older US charts | Up to 200 m in some areas | Printed in older NOAA chart title blocks |
| OSGB-36 | UK charts | ~50-100 m from WGS-84 | Still used on some Admiralty charts |
Safety Critical — Datum Mismatch
Before using any chart with GPS, check the chart title block for the datum statement. If the chart says "Positions obtained from GPS receivers should be shifted by __ to agree with this chart," you must apply that correction — or change your GPS datum setting to match. In US waters, modern NOAA charts use NAD-83 (essentially identical to WGS-84), so most modern GPS/chart combinations are compatible.
4. Chartplotter Operation
A chartplotter integrates a GPS receiver with an electronic chart display, showing your vessel's real-time position on the chart. Modern multifunction displays (MFDs) combine chartplotting with radar overlay, AIS display, sonar, and weather data on a single screen. Understanding the core functions is essential for both the exam and real-world operation.
Core Chartplotter Functions
Waypoint
Saved geographic coordinate (lat/lon). Navigate directly or include in a route.
Route
Ordered sequence of waypoints. Chartplotter computes bearing and distance for each leg.
Track Log
Recorded breadcrumb trail of actual path over ground.
XTE (Cross Track Error)
Perpendicular distance from current position to the planned course line.
BTW (Bearing to Waypoint)
True bearing from current position to the active waypoint.
DTW (Distance to Waypoint)
Great-circle distance from current position to the active waypoint.
ETA (Estimated Time of Arrival)
Computed arrival time based on DTW and current SOG.
Planning a Route on a Chartplotter
Entering a route before departure — not while underway — is best practice. The exam frequently tests the proper sequence for verifying a chartplotter route:
Man Overboard (MOB) Procedure
The MOB button on a chartplotter is one of the most important features to know for the exam. Press it immediately when a person goes overboard — it marks the GPS position of the vessel at that instant and activates navigation back to that point. Assign a dedicated crew member to keep eyes on the person in the water while the helmsman works the MOB navigation. Do not delay pressing MOB to attempt a rescue first — position information degrades with every second.
5. COG vs. Heading, SOG vs. Speed Through Water
Understanding the difference between GPS-derived motion data and compass or log data is fundamental to electronic navigation. These pairs appear on virtually every exam. The key insight: GPS measures motion relative to the ground; compass and log measure relative to the water.
| Parameter | Source | Measures | Affected By | Primary Use |
|---|---|---|---|---|
| Heading (HDG) | Magnetic compass or gyrocompass | Direction the bow points | Not directly affected by current or wind | Steering; compass error detection |
| COG (Course Over Ground) | GPS | Actual direction of travel relative to Earth | Wind (leeway) + current set | Route planning; collision avoidance |
| SOG (Speed Over Ground) | GPS | Actual speed relative to Earth | Favorable or adverse current | ETA calculation; fuel planning |
| STW (Speed Through Water) | Paddlewheel or Doppler log | Speed relative to the water mass | Not affected by current | Hull speed; engine performance; fuel flow |
Practical Application: Current Effects
Consider a vessel steering 090 degrees magnetic (heading) at 8 knots STW. A 2-knot current is setting from 000 degrees (flowing southward). The current pushes the vessel to starboard. GPS shows:
Exam Point
Use SOG for ETA calculations. Use STW for fuel flow and hull performance calculations. Use COG to determine your actual track over ground. Use HDG to steer the compass. The difference between HDG and COG is the combined effect of leeway and current.
6. Cross-Track Error (XTE)
Cross-Track Error is the perpendicular distance between your vessel's current GPS position and the planned course line drawn between active waypoints. It tells you how far off-track you have drifted — not how far you are from the next waypoint, but how far sideways you have moved from the straight-line route.
Reading XTE
Correcting XTE
1. Identify which side you are on (R or L)
2. Alter course toward the course line — not toward the next waypoint
3. Steer aggressively enough to close XTE without overshooting to the other side
4. As XTE approaches zero, resume original course heading
5. Monitor XTE continuously; small persistent corrections beat large swings
XTE is especially critical when navigating in channels with shoals on both sides. Many chartplotters allow you to set an XTE alarm that sounds when you drift beyond a set distance from the course line. Set XTE alarms conservatively — give yourself time to react before the hazard zone.
Exam Point
XTE is perpendicular distance from the course line — not distance to the waypoint and not bearing error. XTE of 0.1 nm means you are one-tenth of a nautical mile left or right of the planned route.
7. AIS: Class A/B, MMSI, CPA/TCPA
The Automatic Identification System (AIS) is a VHF transponder system that continuously broadcasts vessel identification, position, course, speed, and status data. AIS operates on two dedicated VHF channels: 161.975 MHz (AIS 1) and 162.025 MHz (AIS 2), using TDMA (Time Division Multiple Access) technology that allows thousands of vessels to share the channels without interference.
AIS Data Fields
Class A vs. Class B Comparison
| Item | Class A | Class B |
|---|---|---|
| Required on | SOLAS vessels: ships 300+ GT on international voyages, cargo 500+ GT, all passenger ships | Voluntary for recreational; some jurisdictions require for charter vessels |
| Update rate (underway) | 2-10 seconds depending on speed/turning | 30 seconds |
| Update rate (at anchor) | 3 minutes | 3 minutes |
| Transmit power | 12.5 watts | 2 watts |
| Voyage data | Destination, ETA, draft — manually entered by crew | Limited; no voyage-specific data |
| Receive capability | Full — dual channel simultaneous | Full |
| CPA/TCPA display | Yes, integrated with ARPA | Available on equipped receivers |
CPA and TCPA
CPA (Closest Point of Approach) is the minimum distance between two vessels if both maintain their current course and speed. TCPA (Time to Closest Point of Approach) is how many minutes until that minimum distance occurs. AIS-equipped chartplotters calculate CPA and TCPA automatically for every AIS target and can display alarms when a target is predicted to close within a set CPA threshold.
Critical Exam Point — AIS Does Not Override COLREGS
AIS CPA/TCPA data is a navigational aid — not a COLREGS substitute. You are still required to maintain a proper lookout (Rule 5), assess collision risk by compass bearing (Rule 7), and take early and substantial action as the give-way vessel (Rule 16). A vessel may not appear on AIS (no transponder, turned off, technical failure). AIS data may lag reality by 30 seconds or more for Class B targets. Use AIS to supplement — never replace — your lookout and radar watch.
MMSI
The Maritime Mobile Service Identity (MMSI) is a unique 9-digit number assigned to a vessel or station. It is the primary identifier in AIS and DSC (Digital Selective Calling) systems. US recreational vessels obtain an MMSI through the FCC or through organizations like BoatUS or Sea Tow. MMSI numbers are: 9 digits for ships, beginning with a 3-digit Maritime Identification Digit (MID) indicating the vessel's country. Coast stations use a 7-digit MMSI beginning with 00. SAR (Search and Rescue) aircraft use MMSIs beginning with 111. A vessel cannot make or receive an individual DSC call without a programmed MMSI.
8. Radar Operation
Marine radar transmits pulses of microwave energy and detects their reflections from targets. The time between transmission and return determines range; the antenna bearing when the return is received determines direction. Radar is indispensable in restricted visibility and for detecting targets that may not carry AIS. Understanding the controls and their interactions is heavily tested on the exam.
Radar Controls
Gain
Controls receiver sensitivitySea Clutter (STC)
Suppresses returns from nearby wavesRain Clutter (FTC)
Reduces smearing from precipitationTuning
Optimizes receiver frequency match to transmitterRange Scale
Sets the maximum displayed rangeRadar Measurement Tools
Radar in Restricted Visibility
Rule 19 of COLREGS governs conduct in restricted visibility. Vessels must: proceed at a safe speed adapted to conditions; have their radar operational and properly adjusted; plot or otherwise assess the risk of collision for every radar contact; take avoiding action in ample time, avoiding crossing ahead of a vessel forward of the beam.
9. Radar Plotting
Radar plotting — also called the RAPS method (Relative and Actual Plot System) or manual radar plotting — is the systematic method for determining a target's course, speed, CPA, and TCPA from a series of radar observations plotted on a maneuvering board or directly on the radar display. ARPA/MARPA automates this process, but the exam requires understanding the manual method.
Manual Radar Plot Steps
ARPA vs. MARPA
ARPA (Automatic Radar Plotting Aid)
- Full IMO performance standard (A.422)
- Tracks all acquired targets automatically
- Required on vessels 10,000+ GT
- Integrates with gyrocompass and speed log for true vectors
- Mandatory CPA/TCPA alarms and trial maneuver function
MARPA (Mini ARPA)
- Commercial standard — not IMO type-approved
- Tracks manually acquired targets (typically 10-20)
- Common on recreational and small commercial radars
- GPS input gives relative accuracy similar to ARPA
- Provides CPA/TCPA for tracked targets
Exam Point — Radar Plotting Interval
The standard plotting interval is 6 minutes (1/10 hour). At 6 minutes, you simply multiply the relative distance moved by 10 to get relative speed in knots. This simplifies the arithmetic dramatically. Some exams use 3-minute intervals — multiply by 20.
10. Depth Sounders, Transducers & Speed Logs
A depth sounder (echo sounder) transmits an acoustic pulse from a transducer, measures the time for the pulse to return from the bottom, and displays depth. Depth = (sound velocity x travel time) / 2. The speed of sound in seawater is approximately 4,800 feet per second (1,500 m/s) — the sounder uses this value (or an adjustable calibration) to convert travel time to depth.
Transducer Types
Sounder Calibration and Offset
Most depth sounders can be configured to display depth in three ways: depth below the transducer (raw measurement), depth below the keel (subtract the keel-to-transducer distance), or depth below the waterline (add the transducer depth below the waterline). For practical navigation, depth below the keel is most useful — it tells you how much water you have under your deepest appendage.
Speed Log and Temperature Sensor
Many transducers are combination units that also include a paddlewheel or impeller speed log (measuring STW) and a water temperature sensor. The paddlewheel must be kept clean — growth fouling slows the wheel and causes STW to read artificially low. Temperature sensors are used for fishfinding (thermoclines), weather monitoring, and calibrating doppler logs.
Sonar for Fish Finding
Modern sonar units display the water column from surface to bottom, showing schools of fish, baitfish, thermoclines, and bottom structure. High-frequency (200 kHz) CHIRP sonar gives the best resolution in shallow to medium depths. Side-scan sonar sweeps a swath to each side of the vessel, producing a wide picture of bottom structure useful for both fishing and wreck location. DownVü and SideVü are commercial implementations of side-imaging sonar.
11. Electronic Chart Systems: ECDIS, ECS, RNC, ENC
The exam distinguishes carefully between different types of electronic chart systems and the two chart formats — raster and vector. Understanding which system legally replaces paper charts, and which chart format supports active navigation alarms, is critical for both the exam and for compliance aboard SOLAS-regulated vessels.
ECDIS
Can Replace PaperECS (Electronic Chart System)
Cannot Replace PaperChartplotter
Cannot Replace PaperRNC (Raster Nautical Chart)
Cannot Replace PaperENC (Electronic Navigational Chart)
Can Replace PaperRNC vs. ENC: The Key Difference
The exam frequently tests the fundamental difference between raster and vector charts. An RNC is a photograph of a paper chart — the depths, shoals, and symbols are pixels, not data. There is nothing to query, and the system cannot automatically determine whether your intended track crosses a shoal.
An ENC stores every chart feature as a discrete object with attributes: a depth sounding is a data point with a value; a shoal is a polygon with a depth attribute; a wreck has a type, clearance depth, and hazard status. ECDIS can automatically check your planned route against all these objects and alarm if you're routing into shallow water or across a prohibited area.
Where to Get Free Charts
NOAA provides both RNC and ENC charts for US waters free of charge at charts.noaa.gov (RNCs) and us.charts.gov (ENCs / S-57 format). Commercial chart providers (Navionics, C-Map, Garmin BlueChart) license and repackage these charts with additional data for chartplotter use.
12. Autopilots
An autopilot uses sensors (compass, GPS, wind instrument) and an actuator (hydraulic pump, belt drive, or tiller arm) to control the rudder and maintain a set course without continuous human input at the helm. Autopilots significantly reduce helmsman fatigue on long passages but require careful monitoring and immediate disengage capability.
Autopilot Limitations and Watch Requirements
Engaging an autopilot does not reduce the watch requirements under COLREGS. Rule 5 requires a proper lookout by sight and hearing at all times. An autopilot holding course cannot see a lobster pot float, debris, a vessel without AIS, or a breaking wave. At minimum, a person must be positioned to maintain a proper lookout while the autopilot is engaged — never leave the helm position unattended in trafficked or congested waters.
Autopilots are particularly dangerous near other vessels because they hold course regardless of developing collision situations. The helmsman must still monitor CPA/TCPA, assess risk, and disengage the autopilot to make any COLREGS-required avoiding action.
Autopilot Exam Points
- Autopilot does NOT relieve you of COLREGS obligations
- Track mode follows a GPS route; heading hold mode holds a compass course (not GPS track)
- In head seas, autopilot may consume more battery power; monitor voltage on extended passages
- Practice quick disengage so it's automatic — especially important for MOB maneuvers
13. VHF DSC (Digital Selective Calling)
VHF radios with DSC (Digital Selective Calling) capability transmit and receive digital distress alerts on Channel 70. All VHF radios sold in the US since 1999 are required to have DSC. A DSC distress call transmits your MMSI, nature of distress, and GPS position automatically to the Coast Guard and nearby vessels — dramatically improving response time compared to a voice-only Mayday.
DSC Distress Procedure
Link Your GPS to Your DSC VHF
Without a GPS connection, a DSC distress call transmits your MMSI but no position. The Coast Guard will know you are in distress but not where you are. Connect your chartplotter's NMEA 0183 or NMEA 2000 output to your VHF radio's NMEA input so GPS position is automatically embedded in every DSC call. Test the connection by checking that your radio displays current GPS position in the DSC menu.
14. Loran-C (Historical)
Loran-C (Long Range Navigation) was a ground-based hyperbolic radio navigation system that operated on 100 kHz. It used time differences between signals from a master station and secondary stations to position vessels within approximately 0.25 nautical miles during optimal conditions — acceptable for coastal navigation but far less accurate than GPS.
The US Loran-C system was shut down in 2010 after GPS became the primary navigation standard. The exam may include historical questions about how Loran-C worked or why it was shut down. Some countries and maritime authorities have explored eLoran (enhanced Loran) as a GPS backup system, but no eLoran network is currently operational in US waters.
Loran-C Key Facts for the Exam
15. Celestial Navigation as a Backup
GPS is the dominant navigation system for mariners, but the prudent navigator maintains celestial navigation skills as a genuine backup. A solar CME, GPS jamming, equipment failure, or power loss can leave an offshore vessel without electronic positioning. Celestial navigation, using only a sextant, nautical almanac, sight reduction tables, and an accurate timepiece, can determine position to within 1-2 nautical miles anywhere on Earth.
Sun Line (LOP) for a Running Fix
The most practical celestial technique for offshore passages without GPS:
Essential Backup Navigation Kit
16. Battery & Power Management
Electronic navigation systems are entirely dependent on battery power. A vessel that loses 12V DC power loses GPS, chartplotter, radar, VHF, AIS, and depth sounder simultaneously. Understanding current draw and proper battery management is part of the seamanship requirements for the captain's license.
| System | Typical Draw | Notes |
|---|---|---|
| GPS/Chartplotter | 0.5-2 A | Very low draw; essential navigation — keep powered. Large multifunction displays draw more. |
| VHF Radio (receive) | 0.5-1 A | Receive is low draw. Transmit at 25 W draws 5-6 A. Keep on at all times in coastal waters. |
| AIS Transponder | 0.5-1 A receive; 1-2 A transmit | Class B transmits at 2 W — low drain. Integrated with VHF antenna via splitter. |
| Radar | 3-8 A depending on size | Highest electronics draw. Standby mode reduces consumption. Use on restricted visibility watches. |
| Depth Sounder | 0.2-0.5 A | Minimal draw; essential for coastal navigation. Keep powered underway. |
| Autopilot | 2-15 A (varies with sea state) | Draw spikes when correcting in rough seas. Monitor battery voltage when running autopilot for extended periods. |
| EPIRB | 0 A (battery standby) | Self-powered. Category I auto-activates on immersion. Check hydrostatic release and battery expiry date annually. |
Best Practices for Marine Electrical Systems
NMEA Standards
NMEA (National Marine Electronics Association) defines two standards for interconnecting marine electronics:
17. Exam FAQ — Navigation Electronics
How does GPS trilateration work and why does it require 4 satellites?+
What is HDOP and how does it affect GPS accuracy?+
What is the difference between WAAS and DGPS?+
What is Cross Track Error (XTE) and how do you correct it?+
What is the difference between AIS Class A and Class B?+
What do radar controls Gain, STC, and FTC do?+
What is the difference between ECDIS, ECS, and a chartplotter?+
What is the WGS-84 datum and why does chart datum matter?+
Related Captain's License Study Topics
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