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How do you measure the longitude of a ship at sea?

Published in Navigational Longitude Determination 4 mins read

Measuring the longitude of a ship at sea, once a formidable challenge, primarily relies on precise timekeeping and, more recently, advanced satellite technology.

Understanding Longitude Measurement

Longitude is a geographical coordinate that specifies the east-west position of a point on the Earth's surface, measured as an angular distance east or west from the Prime Meridian (0° longitude), which passes through Greenwich, London. Unlike latitude, which can be determined by observing the altitude of the sun or stars, longitude requires knowing the exact time at a known reference point.

Historical Method: Time-Telling and the Chronometer

Historically, the most significant breakthrough in determining longitude at sea involved accurate time-telling. This method hinged on comparing the ship's local time with a known standard time, typically Greenwich Mean Time (GMT).

  1. Local Time Determination: Mariners would observe the local apparent time (LAT) on board the ship. This was traditionally done by measuring the exact moment the sun reached its highest point (local noon) or by observing specific stars.

  2. Greenwich Time Reference: A ship's captain needed a highly accurate clock, known as a chronometer, set to Greenwich Mean Time (GMT). The invention of a reliable chronometer by John Harrison in the 18th century was revolutionary, as it allowed for the precise keeping of GMT despite the rocking motion and temperature variations at sea.

  3. Calculating the Difference: By comparing the local time observed on the ship to the time shown on the chronometer (Greenwich time), the time difference could be calculated.

  4. Converting Time to Longitude: For every four minutes that Greenwich time differed from the local time observed on board, the ship had traveled one longitudinal degree. Since the Earth completes a full rotation (360 degrees) in 24 hours, it rotates 15 degrees every hour (360 degrees / 24 hours = 15 degrees/hour), or 1 degree every four minutes (60 minutes / 15 degrees = 4 minutes/degree).

    This relationship can be visualized as follows:

    Time Difference (GMT vs. Local Apparent Time) Longitudinal Distance
    4 minutes 1 degree
    1 hour 15 degrees
    24 hours 360 degrees

    If the ship's local time was earlier than GMT, the ship was west of Greenwich; if it was later, the ship was east.

Traditional Method: Celestial Navigation

Before the advent of satellite technology, celestial navigation was a primary method for determining a ship's position, including longitude. While closely related to the time-telling method, it involved more complex calculations:

  • Sextant Use: A sextant was used to measure the angular height of celestial bodies (like the sun, moon, stars, or planets) above the horizon at a specific local time.
  • Nautical Almanac: These measurements, along with the precise time, were then used in conjunction with a Nautical Almanac (a publication containing ephemeris data for celestial navigation) to calculate the ship's position. By knowing the exact GMT and the observed local time of a celestial event, navigators could deduce their longitude.

Modern Method: Global Positioning System (GPS)

Today, the most common and accurate method for determining a ship's longitude is using a Global Positioning System (GPS) receiver.

  • Satellite Signals: GPS receivers on board ships receive signals from a constellation of Earth-orbiting satellites.
  • Precise Coordinates: These signals contain highly accurate time data, allowing the receiver to calculate its precise distance from multiple satellites.
  • Instantaneous Position: By triangulating these distances, the GPS receiver can instantly and continuously determine the ship's exact latitude, longitude, speed, and heading with remarkable accuracy, usually within a few meters. This has revolutionized maritime navigation, making it safer and more efficient.

Key Instruments and Concepts for Longitude Measurement

  • Chronometer: A highly accurate timepiece used to keep standard time (e.g., GMT) at sea.
  • Sextant: An instrument used to measure the angle between the horizon and a celestial body, essential for traditional celestial navigation.
  • Global Positioning System (GPS) Receiver: Electronic device that receives signals from GPS satellites to determine precise geographical coordinates.
  • Greenwich Mean Time (GMT) / Coordinated Universal Time (UTC): The primary time standard by which the world regulates clocks and time. Longitude calculations depend on having a precise reference time.
  • Local Apparent Time (LAT): The time based on the actual position of the sun relative to the observer's meridian.