Marine logarithm tables

Marine logarithm tables of whole numbers and example of how to use them

Marine logarithm tables, example page 9 from logarithms of whole numbers table
Marine logarithm tables, image book: logarithms of whole numbers

Marine logarithm tables:

This page only explains the use of this table, but you need to go to the page ‘Sun’s altitude and logarithm tables at sea‘ to see the full context.

The best way to calculate your position at sea using a sextant and logarithm tables is to start with the exercise ‘La Rochelle.’

After the general first part, make your choice between the calculator or the logarithm method.

Table of Logarithms of whole numbers

These tables were developed by the author with the help of Google Sheets.

The five tables necessary to obtain the calculated height (Hc)

  • Table 1: log cosine
  • Table 2: log versine
  • Table 3: natural cosine
  • Table 4: logarithms of whole numbers
  • Table 5: natural sine

Marine logarithm tables, image of sea and winter
Winter Sea Big Waves And Frozen Breakwater. Author image: Michal Szu

Marine logarithm tables:

Marine logarithm tables, convert logarithmic term to natural term
Marine logarithm tables, part of the worksheet with the expression natural term and logarithmic term

Marine logarithm tables:

example table 4: (logarithms of whole numbers)
 logarithm tables part of the worksheet with solution
part of the worksheet for logarithm tables

Marine logarithm tables:

The mantissa

With the Mantissa,

we will search for the whole number

Whole number is 2354 (see below)

Table 4 page 2200/2600
Marine logarithm tables, image page  table 4 logaritm of whole numbers
The use of the characteristic is to put the coma

after finding the whole number, we have to put the comma!

Characteristic is 29 (see below for the coma)

Whole number = 2345

Characteristic = 29

natural second term = 0,2354


 L’Île Coco, Cargados Carajos in Mauritius. Author image: MauriceBer

Marine logarithm tables: recall

The purpose is to calculate the height of the sun (Hc) without a calculator.

The use of logarithm tables will replace multiplication with addition.

We will find an example and two exercises completed in the interactive worksheet (tables) page in the calculated Height section.

The idea is to continue with the concept of the DR position, and intercept but we no longer use the rule of signs (positive or negative)

It will be replaced by the notion same name or not same name.

 image same name / not same name

method:

In principle, we adhere to the same Saint-Marc-Hilaire method.

These logarithm tables do not depend on time either.