Sun’s Celestial Navigation Aid and Tools

Sun’s Celestial Navigation Aid and Tools: Synopsis of how to calculate the line of position


this website is recommended as a self-instruction website for beginners or for old celestial hands getting back in practice.

classic marine  image : porthole

The skill of calculating a line of position (LOP) using the sextant and the sun is essential for celestial navigation, and our interactive worksheet simplifies the process.

Sun's Celestial Navigation Aid and Tools for calculating the line of position (worksheet, the nautical almanac and image of an nautical chart)

The course is free and includes examples for every step to obtain your line of position. 

I want to emphasize that the ‘La Rochelle Exercise‘ page, which will lead you to the interactive worksheet page, are the two fundamental cornerstone pages of this website.

Remember that starting and completing the La Rochelle exercise will take time and effort for beginners

Patagonia, south of Argentina: lighthouse and sea birds. author: PMATAS

Sun’s Celestial Navigation Aid and Tools: What is a line of position (LOP) ?

A Line of Position (LOP) is a straight line marked on a nautical chart on which one is located somewhere, determined through the use of a sextant and pertinent calculations.

Sun's Celestial Navigation Aid and Tools. image introduction line of position and sextant image
plotting sheet

The main purpose of this website is to provide instructions and guidance on how to plot and calculate this line of position with the sun using the traditional method.

In summary, while a Line of Position indicates that the vessel’s location is somewhere along that line, it does not provide a precise fix on its location.

Accurate determination of a vessel’s position requires the intersections of at least two LOP’s !!

Take an initial observation with the sextant to measure the height of the sun above the horizon and calculate the first LOP.

Sun's Celestial Navigation Aid and Tools, image of an observation with a sextant

Then take a second observation some time later when the sun moves from east to west and changes its azimuth angle. Calculate the second LOP and intersect these two lines to determine your position.

Of course, there are several other factors to take into account, such as the movement of the ship between the two lines of position . However, the most important purpose of this website is to calculate this simple LOP.

Sun's Celestial Navigation Aid and Tools, Image, How to transfer a LOP
How to transfer a LOP
Sea Sky Blue, Author image: THOR

Sun’s Celestial Navigation Aid and Tools:

classic marine decorative image, CQR anchor

In conclusion, LOP’s are a fundamental part of celestial navigation, which has been used by mariners for centuries to determine their positions at sea when other means of navigation, like GPS, are unavailable or unreliable.

The sea, the mountain, the tree. Author image Wolfgang Staudt

Sun’s Celestial Navigation Aid and Tools: the main goal

classic marine decorative image, mooring buoy

Indeed, the main goal of this website is to provide information on how to calculate this LOP (Line of Position).

To summarize, this process involves transitioning from the observations made with the sextant to drawing a straight line on a map.

Finally, eight identical exercises are conducted in various oceans, in the Northern and Southern Hemispheres, and at different times of the year, with the Sun as the only celestial object.

These exercises simulate the application of the following tools:

  • A sextant,
Sun's Celestial Navigation Aid and Tools, image of two officers taking a sun sight with a sextant.
Two ship’s officers ‘shoot’ in one morning with the sextant, the sun altitude. author image: Buonasera
  • The nautical almanac,
Sun's Celestial Navigation Aid and Tools, image nautical almanac

There is also the possibility to print the daily pages online for strictly personal use. See my nautical almanac section under “ESSENTIALS”.

  • A watch,
Sun's Celestial Navigation Aid and Tools, image of a watch with UTC reading.
  • a scientific calculator
Sun's Celestial Navigation Aid and Tools, image scientific calculator
  • Dead reckoning position
Sun's Celestial Navigation Aid and Tools, image of a sailing vessel in relation to the dead reckoning position.

CELESTIAL NAVIGATION, image beach and birds
Kartong beach, The Gambia, West Africa. Author image: Paul Walter

Sun’s Celestial Navigation Aid and Tools:

classic marine decorative image, life buoy
Navigational knowledge required

This course requires a minimum level of navigational knowledge.

Placing a geographical point on a map, drawing a course line, and measuring a distance in nautical miles.

The interactive worksheet

The course is based on the use of a scientific calculator and the worksheet for manual completing.

Figurative image of the celestial worksheet for sun sight observations.
Figurative image of the worksheet

Free interactive worksheet accompanies manual completion, providing detailed theory and calculations guidance.

This interactive worksheet is the most importent tool of this website.

Blue sky and sea, Author image: 莲花大海
Sun's Celestial Navigation Aid and Tools, text recommandation how to use this site

Sun’s Celestial Navigation Aid and Tools:

classic marine decorative image, a gong

However, after completing the exercise titled ‘La Rochelle ’ there is a small fee for the correct answers to the seven remaining identical exercises presented in the celestial course.

Note that while working through the La Rochelle exercise, there are at least three similar exercises fully worked out.

The store listed in the menu offers worksheets containing the correct answers (PDF version) for the seven remaining exercises, available for purchase.


CELESTIAL NAVIGATION, image beach and birds
Beach with birds – John D. MacArthur Beach State Park. Author image RicoRico

Sun’s Celestial Navigation Aid and Tools:

Comments

classic marine decorative image, a captain's hat

Hence, in this course you will not find topics like stars, moon, planets, or detailed sextant description. My aim is to avoid the student with too much information.

In this course, I do not take for granted that you already know how to use the formulas. Instead, I provide an explanation of how to use them.

The method we use in this course is the Saint Marc Hilaire method, which is employed in navy schools worldwide.

We carry out these exercises at various times throughout the year, in different oceans located in the Northern and Southern Hemispheres.

classic marine decorative image, a ship's wheel

You will also discover how to calculate a local apparent noon sight.

Moreover, you will learn how to plan your day for the interval between two Lines of Position (LOPs).


Beach in Mälarhusen. Author image: Anders Lagerås

Sun’s Celestial Navigation Aid and Tools:

classic marine decorative image, old magnetic compass.
Additionally, the benefits of these exercises.

– Certainly, You will be able to obtain your position at sea!

– Obviously, it will be easier for you to clear your exams at the Merchant Navy school.

-Basically, you will find the same formulas for the Moon, stars, and planets, so this course is also interesting for the midshipmen in the naval academy.

Antarctica Sea Ice, Author image: Denis Luyten

In conclusion, the main goal should be to fully master the “La Rochelle” exercise, as doing so will make tackling the remaining exercises a more enjoyable experience.

How to use this site


Sun’s Celestial Navigation Aid and Tools:

classic marine decorative image, sailing vessel

Proposing an alternative approach to calculate your position at sea without the use of a scientific calculator, based on logarithm and azimuth tables

Sun's Celestial Navigation Aid and Tools. image of the logarithm tables and azimuth tables

This section serves as an additional feature on my website, and I would like to emphasize:

Here, I introduce an age-old celestial navigation technique involving logarithms.

Sun's Celestial Navigation Aid and Tools, image logarithm tables and navigation

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CELESTIAL NAVIGATION, image Humpbackwhale
Humpbackwhale (bay de St Gilles) author image: Mariomif