Navigation Study Guide
Navigation & Chart Work
Dead reckoning, tides and currents, aids to navigation, compass correction, and electronic navigation — the complete navigation reference for USCG license candidates.
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Chart Work & Chart Reading
Nautical charts are published by NOAA (National Ocean Service). The reference document for chart symbols is Chart No. 1 (NOAA Publication). Every license candidate must know how to read a chart quickly and accurately.
Chart scale:
A large-scale chart shows a small area in great detail (e.g., 1:10,000 — a harbor chart). A small-scale chart shows a large area with less detail (e.g., 1:1,000,000 — an ocean passage chart). EXAM: when you zoom in, the scale number gets larger — but that is a "large-scale" chart.
Soundings:
Depths on a chart are given in the unit stated in the chart title — typically feet, fathoms, or meters in U.S. waters. Modern NOAA charts use feet and fathoms in most coastal areas, meters on newer editions. The datum used for soundings is Mean Lower Low Water (MLLW) — the average of the lower of the two daily low tides. This is the most conservative datum: actual water depth will usually be greater.
Heights:
Bridge clearances and feature heights are referenced to Mean High Water (MHW) — the worst case for overhead clearance (highest tide).
Contour lines (depth curves):
Lines connecting equal depth points. Bold contour lines usually mark 6-fathom (36-foot) and 12-fathom (72-foot) curves on older charts.
Chart symbols to know:
- Anchor symbol: recommended anchorage - PA: position approximate - PD: position doubtful - ED: existence doubtful - Rk or Rks: rock(s) - Wr: wreck (above water) - Wk: wreck (submerged, not dangerous) - (dots): dangerous to navigation - Yellow/green tint: shoal water - Blue: water of navigable depth - White: deep water (coastal charts) - Magenta: magnetic annotations, caution notes, light sectors - "foul" or "foul bottom": debris, old moorings, poor holding ground
Exam tip
Know MLLW (soundings datum) vs. MHW (height datum). A sounding of 6 feet at MLLW means 6 feet at the lowest expected tide — you will almost always have more. A bridge clearance of 60 feet at MHW means at the highest tide you have 60 feet.
Dead Reckoning
Dead reckoning (DR) is the process of calculating a current estimated position based on a known past position, applying speed, course, and time — without using external references.
DR plot notation:
- DR position: labeled with time and "DR" in pencil. Marked with a semicircle. - Fix: two or more confirmed position lines crossing — labeled with time in a triangle. - Estimated position (EP): DR position corrected for estimated set and drift — marked with a square.
Speed-time-distance triangle (60D = ST Rule):
- Distance (nm) = Speed (kts) × Time (hours) - Speed (kts) = Distance ÷ Time - Time (hours) = Distance ÷ Speed - For minutes: D = S × (T ÷ 60), or use "60D = ST" where T is in minutes
Set and drift:
- Set: the direction toward which the current is flowing (as a true bearing) - Drift: the speed of the current in knots - A current with Set 090°T and Drift 1.5 kts pushes the vessel east at 1.5 knots. - The difference between the DR position and the actual fix is due to set and drift.
Course over ground (COG) vs. heading:
- Heading: the direction the bow is pointing (compass course) - COG: the actual track made good through the water, affected by current - To maintain a desired COG, the helmsman must steer a different compass heading to compensate for current.
Exam tip
The most common exam questions: calculate distance given speed and time; calculate set/drift from a DR-to-fix discrepancy; and determine the course to steer to make good a desired track.
Tides and Currents
**Tides** are the vertical rise and fall of sea level caused primarily by the gravitational pull of the Moon and, to a lesser degree, the Sun.
Tide types:
- Semidiurnal: two high and two low tides per day, roughly equal (common on the U.S. East Coast). - Diurnal: one high and one low per day (common in the Gulf of Mexico). - Mixed semidiurnal: two highs and two lows per day but with unequal heights (U.S. West Coast, Hawaii).
Tide datums:
- MLLW (Mean Lower Low Water): chart sounding datum; the zero reference for charted depths. - MLW (Mean Low Water): average of all low tides. - MHW (Mean High Water): average of all high tides; used for overhead clearance. - MHHW (Mean Higher High Water): average of the higher of each day's two high tides.
Tide tables:
Published annually by NOAA. List time and height of high and low tides for reference stations, with corrections for secondary stations.
Rule of Twelfths (estimating tidal heights between high and low):
In six hours from low to high, the tide rises by approximately: 1/12, 2/12, 3/12, 3/12, 2/12, 1/12 of the total range per hour. For a 6-foot range: 0.5 ft, 1 ft, 1.5 ft, 1.5 ft, 1 ft, 0.5 ft.
Tidal currents:
- Flood: water flowing toward land/into harbor (associated with rising tide, but timing differs). - Ebb: water flowing away from land (associated with falling tide, but timing differs). - Slack water: period of minimal current between flood and ebb. - Current tables (NOAA): list times of maximum flood, maximum ebb, and slack water at reference stations.
IMPORTANT:
Tide and tidal current are not the same. Current occurs before and after slack — it is not zero when the tide turns. The NOAA Current Tables and Tide Tables are separate publications.
Exam tip
The most tested tidal topic: tide prediction using Rule of Twelfths. Also: what datum are soundings referenced to (MLLW) vs. what datum are heights/clearances referenced to (MHW). The Gulf of Mexico's diurnal tides are frequently tested.
Aids to Navigation (ATONs)
U.S. ATONs follow the IALA Buoy System B (used in North and South America, Japan, Philippines, Korea). IALA System A is used everywhere else (Europe, Africa, Asia, Australia, New Zealand).
The cardinal rule of U.S. lateral aids:
"Red Right Returning" — when returning from sea (entering harbor), the red aids are kept to starboard (right). Green aids are kept to port (left).
Buoy colors and shapes:
- Red buoys: nun (conical) or lighted (with even number). Keep to starboard entering. - Green buoys: can (cylindrical) or lighted (with odd number). Keep to port entering. - Red-and-green horizontally banded: preferred channel. Top color indicates which side has the preferred channel. If top is red, treat as red (keep to starboard); if top is green, treat as green. - Safe water (mid-channel): red-and-white vertical stripes, spherical shape, white light. - Isolated danger: black-and-red horizontal bands, with two black balls topmark. - Special purpose: yellow, X topmark. Marks hazards, military exercise areas, fish trap areas. - Information/regulatory buoys: white with orange markings. Open-faced diamond = danger.
Fixed aids:
- Lighthouses: major fixed aids. Light characteristics describe their identity: F (fixed), Fl (flashing), Iso (isophase), Oc (occulting), Q (quick flashing), VQ (very quick). - Dayboards: fixed markers on structures. Lateral markers follow same color rules as buoys. - Ranges: two fixed markers on a leading line. When aligned, the vessel is on the range bearing.
Light characteristics:
A light is identified by its characteristic (color, phase, period). Light List published by USCG identifies all aids. Key: a Fl R 4s light flashes RED with a period of 4 seconds (one flash every 4 seconds). A Fl (2) R 10s shows 2 red flashes then darkness in a 10-second period.
Exam tip
Red Right Returning is the most-tested single fact in navigation. Know buoy shapes: red = nun, green = can. Know the preferred channel marker rule: top color = preferred channel side (treat as if solid that color).
Compass and Compass Correction
A vessel uses a magnetic compass, which points toward Magnetic North — not True North. The difference between True North and Magnetic North is called Variation. Magnetic North changes by location and over time; variation values are printed on the compass rose of nautical charts.
Variation:
- East variation: Magnetic North is east of True North; to convert from Magnetic to True, ADD easterly variation. - West variation: Magnetic North is west of True North; to convert from Magnetic to True, SUBTRACT westerly variation. - Memory aid: "Variation East, Compass Least (subtract from True to get Magnetic). Variation West, Compass Best (add to True to get Magnetic)." OR use "TVMDC" method.
Deviation:
- The magnetic compass is also affected by ferrous metal in the vessel, electrical equipment, and cargo. - Deviation is the angle between Magnetic North and the direction the compass needle actually points. - Deviation varies with the vessel's heading; it is recorded in a deviation table or card. - Like variation, deviation can be East or West.
TVMDC correction method:
True → Variation → Magnetic → Deviation → Compass To convert True to Compass: subtract East error, add West error at each step. To convert Compass to True: add East error, subtract West error at each step.
**Total magnetic correction = Variation + Deviation.**
Example: True course 045°. Variation 10°W. Deviation 5°E. - True: 045° - Apply variation (West = add): 045 + 10 = 055° Magnetic - Apply deviation (East = subtract): 055 − 5 = 050° Compass - Steer 050° by compass to make good a true course of 045°.
Exam tip
TVMDC is the most formula-heavy navigation topic on the exam. Know the direction of correction for each type: East error = subtract when going True→Compass; West error = add. A full correction may have 4–6 steps.
Celestial Navigation (Deck Watch Officers)
Celestial navigation uses observations of the Sun, Moon, planets, and stars to establish a vessel's position. Required knowledge for higher-grade licenses (Mate and Master, unlimited).
Key concepts:
- GHA (Greenwich Hour Angle): the angular distance west of the Greenwich meridian, in degrees. - LHA (Local Hour Angle): GHA adjusted for the vessel's longitude (LHA = GHA + East longitude, or GHA − West longitude). - Declination: celestial equivalent of latitude — how far north or south of the celestial equator the body is. - Altitude: the angle of a celestial body above the horizon, measured with a sextant. - Zenith angle: 90° minus the altitude; used in sight reduction.
Sight reduction:
After taking a sextant observation and correcting for index error, dip, refraction, and semi-diameter, the navigator computes a calculated altitude (Hc) using tables or a calculator, then plots a Line of Position (LOP) at right angles to the azimuth (direction to the body).
Navigation publications for celestial:
- Nautical Almanac (USNO / HM Nautical Almanac Office): GHA and declination for Sun, Moon, planets, 57 selected stars for each hour and minute of the year. - HO 229 (Sight Reduction Tables for Marine Navigation): tabular Hc values by LHA, declination, and assumed latitude. - HO 249 (Sight Reduction Tables for Air Navigation): used for star identification and as an alternative to HO 229. - The American Practical Navigator (Bowditch, NIMA Pub No. 9): the comprehensive navigation reference.
Exam tip
For the OUPV and Master 100/200-ton exams, celestial is not required. For Mate and Master 500T+, basic sight reduction and the Nautical Almanac are required. Know the difference between GHA and LHA, and how to identify sextant corrections (index error, dip, refraction).
Formula Quick Reference
| Formula | Expression |
|---|---|
| Speed / Distance / Time | D = S × T (T in hours, D in nm, S in knots) |
| 60D = ST Rule | D = (S × T) ÷ 60 (T in minutes) |
| Compass to True (East error) | True = Compass + East error (add to go toward True) |
| Compass to True (West error) | True = Compass − West error |
| True to Compass (East error) | Compass = True − East error |
| True to Compass (West error) | Compass = True + West error |
| LHA (West longitude) | LHA = GHA − West longitude |
| LHA (East longitude) | LHA = GHA + East longitude |
| Rule of Twelfths (tidal range per hour) | 1/12 · 2/12 · 3/12 · 3/12 · 2/12 · 1/12 |
| Height of tide at any time (NOAA Tables) | Use NOAA Table 3 interpolation (not Rule of Twelfths for official computation) |