Using the exact time of observation, the nautical almanac, spherical trigonometry formulas and dead reckoning, we can determine the calculated sextant height of the sun.

That is to say, the** **calculated height of the sun of our dead reckoning position

In summary, the goal is to calculate the observer’s height using the Dead Reckoning (D.R.) position and the observed height of the sun using the sextant.

These two heights need to be compared and serve as the basis of the Marcq St. Hilaire method.

Keep in mind that the entire context of this website begins with the La Rochelle exercise, guiding you to an interactive worksheet. The singular objective is to learn how to determine your line of position at sea through eight identical exercises.

Calculated sextant height and dead reckoning:

##### theory Hc (the calculated height)

In fact, the formulas of spherical trigonometry enable us to calculate measurements from the center of the Earth to the center of celestial bodies, including the Sun, stars, planets, and the Moon.

Calculated sextant height and dead reckoning:

### The formula:

L = Latitude of our dead reckoning position.

P = Polar angle

After reading through this page, you can proceed to another section where you’ll find two examples illustrating how to calculate the “calculated height (Hc)”.

Calculated sextant height and dead reckoning:

#### Next, we calculate the azimuth of the sun :

Next, we calculate the azimuth of the sun using the almost the same inputs and the calculated height we obtained previously.

To clarify, we always calculate the Hc first, and afterwards the azimut, since it needs the calculated height in its formula!

D = Declination of the sun.

L = Latitude of our dead reckoning position.

Hc = Calculated height of our dead reckoning position

What to do with the calculated height? See the Principles Step 4

## Calculated sextant height (Hc) and dead reckoning:

A very interesting site is the NOAA sun calculator

Firstly, the NOAA Sun Calculator is a tool provided by the National Oceanic and Atmospheric Administration (NOAA) that allows users to obtain information about the position of the sun at any given location and time. It provides data such as sunrise, sunset, solar noon, and twilight times.

Furthermore, the calculator takes into account various factors, including the observer’s geographic location (latitude and longitude), date, and time zone.

As a result, by inputting these parameters, users can generate accurate and detailed information about the sun’s position

To summarize, the NOAA Sun Calculator is particularly useful for a wide range of applications, including outdoor activities, photography, **astronomy**, and solar energy planning.