INTERACTIVE WORKSHEET Marcq St.Hilaire

INTERACTIVE WORKSHEET Marcq St.Hilaire page  is designed to help learners understand how to calculate a simple Line of Position (LOP) of the sun using a scientific calculator. It also provides feedback on the correctness of answers or solutions.

INTERACTIVE WORKSHEET Marcq St.Hilaire, image of four tools in celestial navigation

While written for the completion of the eight exercises, the page additionally only presents the solution for the La Rochelle exercise.

I recommend fully mastering the free La Rochelle exercise on this page before making a purchase.

This way, testing your skills on the remaining exercises will be enjoyable. Remember that it is also the groundwork for the stars, moon, and planets.

INTERACTIVE WORKSHEET Marcq St.Hilaireimage sea and blue sky
Midfjorden , author image: Den yngre

The 6 sections

INTERACTIVE WORKSHEET Marcq St.Hilaire image of the six sections
The six sections

Ho = observed height

P = polar angle

D = sun’s declination

Hc = calculated height

Zv = true azimuth

Intercept = difference between Ho and Hc

INTERACTIVE WORKSHEET Marcq St.Hilaire image worksheet part 1
INTERACTIVE WORKSHEET Marcq St.Hilaire image worksheet part 2
The six sections png formated

see symbols and abbreviations of the worksheet


Norway. Author image: Scott Rettberg

Our observations on the La Rochelle exercise page

INTERACTIVE WORKSHEET Marcq St.Hilaire and the image of the red entrties of this worksheet

Now that you were supposed to find these red entries from our observations on the La Rochelle exercise page, we can proceed with the calculations.


let's start with sextant-sun-sight-observations and exercises

INTERACTIVE WORKSHEET Marcq St.Hilaire

-Ho- (observed height)

Section 1

Hs …………………. = _ _° _ _’, _

index error…….. = _ _° _ _’, _

Dip………………… = _ _° _ _’, _

 _________________________ +

Ha………………….. = _ _° _ _’, _

sun correct LL …= _ _° _ _’, _ 

__________________________ +

Ho…………………….= _ _° _ _’, _


We will calculate and explain Ho in two steps:

Blue section

INTERACTIVE WORKSHEET Marcq St.Hilaire, image sextant height
INTERACTIVE WORKSHEET Marcq St.Hilaire. answer la Rochelle exercise

Apparent height of the sun (theory Ha)

How to calculate Ha

use of calculator

the 360° formulas

Dip and sun correction tables

Red section

INTERACTIVE WORKSHEET Marcq St.Hilaire, image answer la Rochelle exercise

Observed height of the sun (theory Ho)

How to calculate Ho

use of calculator

the 360° formulas

Dip and sun correction tables

INTERACTIVE WORKSHEET Marcq St.Hilaire, image la Rochelle exercise

 Horseshoe Bay beach in Bermuda. Author image: Tomwsulcer

INTERACTIVE WORKSHEET Marcq St.Hilaire

Local Hour Angle (LHA) and (Polar Angle) P

Section 2

GHA = _ _ ° _ _ ‘, _                                

+pp = _ _° _ _ ‘, _

GHA = _ _° _ _’, _

___________________

*G =  _ _ ° _ _ ‘, _

_____________________

LHA = _ _ ° _ _ ‘, _

In fact *G add if East / subtract if West

INTERACTIVE WORKSHEET Marcq St.Hilaire image La Rochelle exercise section 2

Sun in the East !

theory GHA

How to calculate GHA + pp ( increment)

theory LHA and P

How to calculate LHA and P

dead reckoning position L and G

use of calculator

the 360° formulas


After finding LHA, how to deduce P ?

ロ     LHA <   180°        

sun in the West       P = LHA

ロ     LHA >   180°        

sun in the East          P = 360- LHA 

P = _ _ ° _ _ ‘, _

NE / NW / SE / SW

(To clarify, for example P = _ _ ° _ _ ‘, _ SE , We are situated in the Southern Hemisphere, and the sun is in the East at the time of our observation.

 

Mount Athos, author image Cod Gabriel

-D- (Declination of the sun)

Section 3

D              =  _ _ ° _ _ ‘, _

correc. d = _ _ ° _ _ ‘, _

 ___________________ 

D           =  _ _ ° _ _ ‘, _   

INTERACTIVE WORKSHEET Marcq St.Hilaire image  La Rochelle exercise section 3

theory D

How to calculate D

use of calculator

the 360° formulas

Bocana beach of the Nador region in Morocco. Author image: Sapha Bouamara

INTERACTIVE WORKSHEET Marcq St.Hilaire:

-Hc- (calculated height)

Section 4

L = _ _ ° _ _ ‘, _  

D = _ _ ° _ _ ‘, _  

P = _ _ ° _ _ ‘, _ 

INTERACTIVE WORKSHEET Marcq St.Hilaire, image formula calculated height
INTERACTIVE WORKSHEET Marcq St.Hilaire, image answer la Rochelle exercise Hc

theory Hc / calculate Hc

The best place in the world Southerndow beach sunset. Author: cowbridgeguide.co.uk

INTERACTIVE WORKSHEET Marcq St.Hilaire

-Zv- (true azimuth)

Section 5

L = _ _ ° _ _ ‘, _ 

D = _ _ ° _ _ ‘, _  

Hc = _ _ ° _ _ ‘, _  

INTERACTIVE WORKSHEET Marcq St.Hilaire, image formula Z

Z =  _ _ _ , _ °

ロ Sun in the East      ⟹   Zv = Z

ロ Sun in the West   ⟹  Zv =  360° – Z

True azimuth: Zv =  _ _ _ , _ °= 

sun in the East: true azimut Zv = 152°,1

theory Zv / How to calculate Zv

surfer Eddie Aikan (Hawaii) Author image: Anthony Quintano

INTERACTIVE WORKSHEET Marcq St.Hilaire

-intercept-

Section 6

Ho             =  _ _ ° _ _ ‘, _

Hc             =  _ _ ° _ _ ‘, _

 ______________________ –

intercept = _ _ ‘, _

Ho – Hc = intercept

Intercept towards the sun (+)  

And intercept away from the sun (-)

theory intercept

celestial plotting sheet

INTERACTIVE WORKSHEET Marcq St.Hilaire, image plotting sheet and scale
INTERACTIVE WORKSHEET Marcq St.Hilaire, image line of position with intercept

INTERACTIVE WORKSHEET Marcq St.Hilaire: Additional Knowledge:

Concerning the time interval between two Lines of Position (LOPs), the process of transferring a LOP, and understanding the uncertainty area associated with a LOP

Sun’s LOP running fix and the uncertainty zone.

Day planning with the two sun LOP’s

Using the local apparent noon sight latitude with the sun is a widely adopted technique in maritime navigation.

It offers a straightforward and swift approach for determining latitude.

Local apparent noon sight latitude

Calculate Local Apparent Noon Time

 Seagulls at the edge of the beach. Author image: Mat Fascione

INTERACTIVE WORKSHEET (calculator)

Hence, On this page, you will discover a set of recommendations to follow.

If you’re familiar with the process, feel free to skip ahead, as the following text may be tedious and unnecessary.

Firstly, it is essential to comprehend that the calculations presented above serve as the fundamental cornerstone of my website, shaping its core functionality and reliability.

Please take note and understand the significance of these calculations for optimal usage and outcomes.

The Importance of Persistence and Effort in Achieving Progress

In fact, it’s essential to set realistic expectations and understand that working through the worksheet will take effort and time on your part. However, with dedication and persistence, you will eventually see progress.

It’s natural to want to see results quickly, but it’s important to remember that any significant change takes time.

Certainly, as you work through the exercises, you may encounter challenges or feel frustrated at times. Don’t be discouraged if you don’t see progress right away; it’s all part of the process.

INTERACTIVE WORKSHEET (calculator):

Stay committed

Moreover, the key is to stay committed and make a conscious effort to work towards completing the exercises every day.
Although it may seem difficult at first, remember that every small step you take will lead you closer to achieving your goals.

In summary

Knowledge of celestial navigation in the GPS era provides a solid back-up form of navigation in the event GPS becomes unreliable for whatever reason.

It is also good professional practice to use one navigational system to verify the accuracy of another.

Moreover, celestial navigation nurtures a profound appreciation for the cosmos and instills a sense of wonder and curiosity. Additionally, it promotes self-reliance, resilience, and adaptability in navigating vast oceans.

In addition, celestial navigation allows for a deeper understanding of the Earth’s position in relation to the celestial bodies and fosters a sense of connection with ancient seafaring traditions.

Furthermore, mastering celestial navigation can enhance problem-solving skills and cultivate a greater appreciation for the intricacies of our universe.

Furthermore, for individuals who are fluent in French, there exists a French rendition of this website that goes by the name www.ladroitedehauteur.com