Nautical Positioning B

Course Information

College Toyama College Year 2023
Course Title Nautical Positioning B
Course Code 0078 Course Category Specialized / Compulsory
Class Format Lecture Credits School Credit: 1
Department Department of Maritime Technology Student Grade 3rd
Term First Semester Classes per Week 2
Textbook and/or Teaching Materials 六訂版 航海学【上巻】(成山堂), 天測計算表, Lecture material URL is https://www2.nc-toyama.ac.jp/WEB_Profile/nunome2020/lecture/lecture.html
Instructor Nunome Akihiro

Course Objectives

Course objective is to obtain the ability to calculate distance and course from a departure point to an arrival point, position of an arrival point in terrestrial navigation.
(1) Can explain the characteristics of rhumb line sailing and geodesic sailing.
(2) Can explain the strengths and weaknesses of each sailing.
(3) Obtaining the ability to calculate navigatinal papameters of sailing of every kind in terrestrial navigation.
(3) Obtaining the ability to calculate dead reckoning and planning problems by mean middle latitude sailing.
(4) Obtaining the ability to calculate dead reckoning and planning problems by mercator sailng.
(5) Obtaining the ability to calculate distance, course of a departure point, an arrival point and position of an arrival point in great circle sailing.

Rubric

Ideal Level of AchievementStandard Level of AchievementUnacceptable Level of Achievement)
Types of SailingCan select the appropreate navigation method for a given situation based on the characteristics of rhumb line and great circle sailing.Can explain characteristics of rhumb line and great circle sailing.Cannot explain characteristics of rhumb line and great circle sailing.
Advantages and Disadvantages of SailingsCan select the appropreate navigation method for a given situation based on the advantages and disadvantages of various navigation methods.Can explain the advantages and disadvantages of various navigation methods.Cannot explain the advantages and disadvantages of various navigation methods.
Mean Middle Latitude SailingCan accurately calculate dead-reckoning and planning problems using mean middle latitude sailing.Can calculate dead-reckoning and planning problems using mean middle latitude sailing.Cannot calculate dead-reckoning and planning problems using mean middle latitude sailing.
Mercator SailingCan accurately calculate dead-reckoning and planning problems using meridian sailing.Can calculate dead-reckoning and planning problems using meridian sailing.Cannot calculate dead-reckoning and planning problems using meridian sailing.
Great Circle Sailing and Composite Great Circle SailingCan accurately calculate departure course and arriving course of great circle and composite great circle sailing.Can calculate departure course and arriving course of great circle and composite great circle sailing.Cannot calculate departure course and arriving course of great circle and composite great circle sailing.

Assigned Department Objectives

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Teaching Method

Outline:
Through the preparation of Passage Plans and Noon Reports used in ship operation practice, students will deepen their understanding of the principles and calculation methods of various navigation methods and be able to utilize them.
There are lectures and practices on calculation method of middle latitude sailing, mercator sailing
and great circle sailing on sphere in terrestrial navigation.
Style:
First, an overview in the lecture was given, and practices are conducted by the Think-Pair-Share method.
Supplementary explanations will be given as appropriate for matters that are asked while solving the problem.
Students will deepen their understandin gof the calculation process of various types of navigation through the creation of automatic calculation software using Excel functions, Excel VBA, and other programming languages.

Preparatory study: Review and prepare for the previous lecture before class.
To come to the meeting
(Learning outside of class, in advance) Prepare for the class content.
(Outside of class, after class) Solve assignments related to the class content.
Notice:
This class assumes that students have acquired basic knowledge of mathematics (addition, subtraction, multiplication, division, basic trigonometric functions, etc.).
This class assumes that students have mastered the contents of "Nautical Positioning II," a course offered in the first semester of the third grade.
Assignments will be scored according to the date they are submitted. Assignments that are not completed will not be graded and will be resubmitted.

This lecture corresponds to subjects required to study by the law for ship's officer.
The subjects are parallel sailing, middle latitude sailing, mercator sailing , great circle sailing and composite great circle sailing in terrestrial navigation.
It is evaluated by exams(70%) and reports(30%).
The recognition of credit requires a rating of 60 points or more.

Characteristics of Class / Division in Learning

Active Learning
Aided by ICT
Applicable to Remote Class
Instructor Professionally Experienced

Course Plan

Theme Goals
1st Semester
1st Quarter
1st Introduction Understand that the goal is to be able to plan a voyage and prepare a noon report.
Explain the prerequisite knowledge of navigation (direction, north latitude, south latitude, east longitude, west longitude, prime meridian, date line, equator, great circle course, and the Mercator system) taught in compulsory social studies courses.
Explain the types of navigation and geodesic navigation, and the outline and characteristics of each.
Identify the origin, maximum, x-axis, and y-axis of a coordinate system for position.
Use a function calculator or Excel to correctly calculate simple mathematical expressions.
2nd Basics of Sailing 1 Represent a location using latitude and longitude.
Graphically show which latitude and longitude correspond to which part of an angle.
Interchange numbers expressed in decimal and hexadecimal.
Calculate using the relationship between distance, time, and velocity.
Use a function calculator or Excel to correctly calculate complex mathematical expressions.
3rd Basics of Sailing 2 The latitude and longitude of a vessel can be determined from the ship's position at the two points.
The ship's northward/southward sailing can be determined from the value of declination, and the eastward/westward sailing can be determined from the value of longitude and latitude.
Calculate the ship's position at the arrival point from the ship's position at the departure point and its declination in latitude and longitude.
Determine north/south and east/west navigation from azimuths given by the 360-degree method.
Explain the relationship between the angle of the earth's center and the distance on the earth's surface.
Explain the nautical mile and knot as units of distance and speed.
4th Great circle sailing 1 Explain the great circle, the minor circle, and the taliosphere.
Derive formulas for determining the great circle distance, departure course, and arrival course of a great circle route from the spherical triangle formulas.
To be able to calculate the great circle distance, departure course, and arrival course of a great circle route from the positions of two points.
Determine the sign before and after the value obtained by the formula for determining the great circle's course of departure and arrival.
Understands that great circle distance can be expressed in terms of angles.
Can interchange the direction expressed by the 360 degree method and the 90 degree method.
5th Great circle sailing 2 Derive from the formula for a spherical right triangle the formula for the latitude of the vertex and the longitude and latitude perpendicular to the vertex.
Find the latitude of the vertex and the longitude/degree of declination to the vertex from the positions of the two points.
Can find the longitude of the vertex from the longitude of the two points and the longitude of the perpendicular to the vertex.
6th Composite great circle sailing 1 Derive formulas for finding the direction of departure and arrival of a convergent great circle route from the formula for a spherical right triangle.
Determine the sign before and after the value obtained by the formula for finding the direction of departure and arrival of a convergent great circle route.
Determine the direction of departure and arrival for a convergence great circle.
Derive formulas for finding the latitude of the apex of the great mel melting circle and the longitude and latitude perpendicular to the apex of the great melting circle from the formula for a spherical right triangle.
Find the longitude and latitude variation from the apex of the great convergence path to the point of departure or arrival.
Find the latitude and longitude of the apex of the great conglomerate.
7th Composite great circle sailing 2 Derive the formula for the distance of the congruent great spheres from the formula for spherical right triangles.
Can find the distance of the great convergence sphere.
Derive the formula for distance equidistant navigation.
Can find the east-west distance from the longitude of two points on the equidistant sphere.
8th Way point on great circle Knows the formula for finding the latitude of a turning point on a great circle route from the formula for a spherical right triangle.
Can find the latitude of a turning point.
2nd Quarter
9th Terms of Sailing Explain the terminology used in navigation calculations.
Solve problems involving great circle navigation and combined great circle navigation.
10th Midterm exam Test understanding of contents from 1st week to 9th week.
11th Mercator sailing 1 Knows the procedure for finding the course and heading in longitude-at-a-latitude navigation.
Can find the longitude and latitude difference of the ascending and descending latitudes.
Can determine the course based on the relationship between the longitude-declination and the longitude-declination.
Can determine the declination of latitude. Can determine the course based on the relationship between the course and the declination of latitude.
To be able to calculate the total distance, the distance from the port of destination, and the distance from the port of destination.
12th Mercator sailing 2 Knows the procedure for determining the estimated position by mid-latitude navigation.
Can determine the latitude and longitude of the point of origin from the relationship between the distance and the course.
Can determine the latitude of the arrival point from the latitude and declination of the departure point.
Can determine the mean mid-latitude.
Can determine the longitude and latitude variation from the east-west distance and the mean midlatitude.
Knows how to use longitude and latitude navigation to find the estimated position.
13th Mean middle latitude sailing 1 Know the procedure for determining course and distance using mid-latitude navigation.
Can determine the declination of latitude and longitude from the latitude and longitude of two points.
Can determine the average mid-latitude.
Can determine the east-west distance from the longitude and latitude change and the mean midlatitude.
Determine the course and route from the declination and the east-west distance.
To be able to calculate the remaining voyage using a voyage planner.
14th Mean middle latitude sailing 2 Understand how time is handled when crossing time zones and date lines.
Can determine the time of voyage and time of sailing.
Determine time to ETA, taking into account time zone, local time, and daylight saving time.
Determine the required speed.
Calculate ETA at a given speed based on the remaining voyage.
15th Regular exam Test understanding of contents from 10th week to 14th week.
16th Return regular exams, check the markings by themselves and carry out a questionnaire survey.

Evaluation Method and Weight (%)

ExaminationPresentationMutual Evaluations between studentsBehaviorPortfolioOtherTotal
Subtotal70000030100
Basic Ability350000035
Technical Ability3500002055
Interdisciplinary Ability000001010