Introduction to Navigation Part 7 Estimating Time of Arrival

This will be the end of our  7 part series on “Introduction to Navigation.” We hope that we have given a brief overview of what you would be learning in the Nautical Know How Coastal Navigation Course. Trust me there is much, much more that we did not touch on.

Learning the “Art of Navigation” is not difficult but there are several steps that must be learned along the way. After learning about latitude and longitude, distance, direction and reading a nautical chart, you will start putting these processes together to solve real-time problems. On piece of practical information you might want to use is estimating time of arrival.

These basics are covered in the online Nautical Know How Basic Boating Safety Course at http://boatsafe.com/navigation .

Assume that you will leave your marina or boat ramp on a trip to a nearby restaurant for lunch.

• You have made reservations at the restaurant for 1200.
• The restaurant is 29 nautical miles from your marina.
• You plan on a leisurely cruise at a speed of 12 kts.

What time must you leave your marina to arrive at the restaurant at your reservation time?

This is a simple Distance, Time, Speed question. The formulas to use for the calculations are made simple if you remember, and actually write in a corner of your chart, the following diagram.

The “D” represents distance, “S” represents speed and “T” represents time. In order to solve a distance, speed, time problem you need two of the three values and then must solve for the third.

Using the diagram, cover the unknown value with your finger and what you have left is the formula to solve the problem.

In our problem we know the distance and the speed so we cover up the “T” and the resulting formula is “D” over “S” or “D” divided by “S”.

Using this formula, the first step is to calculate how long it will take you to get to the restaurant by cruising at 12 knots for 29 nautical miles.

29 / 12 = 2.42 hours

Note: This is not two hours and 42 minutes, it is 2 hours and 42 hundredths of an hour. We now have to convert this decimal to minutes by multiplying .42 X 60.

.42 X 60 = 25 minutes – So…our trip will take 2 hours and 25 minutes.

Now that we know how long the trip will take, we simply need to subtract that time from the time of our 1200 reservation.

1200 – 225 = 0935

1160 – 225 = 0935

Note: that in order to subtract we had to borrow an hour from the hours column. 1160 is the same as 1200. We must leave the marina or boat ramp at 0935 (9:35 am) in order to arrive at the restaurant by noon.

If you would like to learn more about Time, Distance, Speed calculations or other aspects of navigation, check out our Nautical Know How Coastal Navigation Course.

Related Posts:

https://boatsafe.wordpress.com/2011/05/12/introduction-to-navigation/

https://boatsafe.wordpress.com/2011/05/13/introduction-to-navigation-part-2-nautical-charts/

https://boatsafe.wordpress.com/2011/05/16/introduction-to-navigation-part-3-definitions/

https://boatsafe.wordpress.com/2011/05/17/introduction-to-navigation-part-4-getting-to-know-your-magnetic-compass/

https://boatsafe.wordpress.com/2011/05/18/introduction-to-navigation-part-5-understanding-latitude-and-longitude/

https://boatsafe.wordpress.com/2011/05/19/introduction-to-navigation-part-6-time-calculations/

Introduction to Navigation Part 6 Time Calculations

Navigation uses the 24-hour clock as its standard.  If you were fortunate enough to have been in the military, you probably are familiar with the 24-hour clock or military time.  However, if it has been a while since you have done anything except look at the numbers on your digital wristwatch you may need to brush up.  All time used in navigation is expressed as four digits.  The first two digits are the hour number.  The second two numbers are the minutes. Starting with 0000 hours at midnight, the hours are counted as 0100, 0200, 0300, etc. through 1200 at noon.  After the noon hour the hourly intervals continue to count with 1300 (1:00 PM), 1400 (2:00 PM), etc. until you reach midnight (0000) again.

Minutes are indicated with a two-digit number after the hour interval.  For example, 8:30 AM is written as 0830, and 12 minutes past four o’clock in the afternoon would be written as 1612.  Using military time there is no need to use AM or PM.  A time of 0900 is nine hours after midnight (9:00 AM), and 9:00 PM would be written as 2100 (9 hours past 1200).

These basics are covered in the online Nautical Know How Basic Boating Safety Course at http://boatsafe.com/navigation . It is highly recommended that, prior to beginning this advanced Coastal Navigation Course, each student successfully complete the Basic Boating Safety Course.

Calculating Time

The 24 hour clock makes it easy when you have to add or subtract time, one of the essential parts of doing distance, speed, time calculations.  Obviously, if you need to know how far you have gone at a certain speed you need to know how long (in time) you have been traveling.

As an example, if you wanted to find the time interval between a departure time of 0915 and an arrival time of 1325, you could set up a simple subtraction problem.	Hr    13  -09   4 Hr	Min 25 15 10 Min
Some problems can become a little more complex than the straight-forward subtraction problem above. What if you needed to find the time interval between your departure of 1345 and your arrival at 1515? When you set up the problem you get an unusual looking situation.	Hr    15   -13     ?	Min 15 45 ? Min
You should remember that the two sets of two digit numbers represent two different units, i.e. hours and minutes. Just like in regular math, you must subtract the units to the right before you can subtract the units to the left.  In this case you have to borrow an hour from the hours unit.  Converting the hour to minutes, you have borrowed 60 minutes. So, 1515 is rewritten as 1475.	Hr    15    14   -13    1 Hr	Min 15 75 45 30 Min

Once you have properly set up the problem by borrowing an hour and converting to minutes, you simply perform a standard subtraction by taking 45 minutes from 75 minutes and 13 hours from 14 hours.  You time underway equals 1 hour and 30 minutes.

Related Posts:

https://boatsafe.wordpress.com/2011/05/12/introduction-to-navigation/

https://boatsafe.wordpress.com/2011/05/13/introduction-to-navigation-part-2-nautical-charts/

https://boatsafe.wordpress.com/2011/05/16/introduction-to-navigation-part-3-definitions/

https://boatsafe.wordpress.com/2011/05/17/introduction-to-navigation-part-4-getting-to-know-your-magnetic-compass/

https://boatsafe.wordpress.com/2011/05/18/introduction-to-navigation-part-5-understanding-latitude-and-longitude/

USCG: Recreational Boaters Can Avoid Accidents

National Safe Boating Week Highlights
Education and Life Jacket Wear

While recreational boating accidents were down overall in 2012, operator-controllable factors, including alcohol use, excessive speed, improper lookout, and failure to follow navigation rules, remain among the top causes of injuries and fatalities on the water. The U.S. Coast Guard supports National Safe Boating Week, May 18-24, as an opportunity to remind all boaters of simple things they can do to boat safely.

The Memorial Day holiday, with warmer weather and a three-day weekend, brings crowded waterways, with many new or inexperienced boaters. And, while 63.4% of boaters consider themselves “very experienced,” only 42.6% have ever taken a boating safety course.*

Understanding the navigational rules of the road and boating defensively are always vital, but particularly so during peak boating periods. Wearing a life jacket, avoiding alcohol, taking a boating safety course, and getting a free vessel safety check are fundamentals that every boater should implement.

“National Safe Boating Week is the perfect time for new and experienced boaters alike to put some extra focus on safety,” noted Jeff Hoedt, Division Chief, Boating Safety Division, U.S. Coast Guard. “Every 2.5 hours someone is injured or killed in a recreational boating accident in the U.S., and all too often these accidents result from failing to take a few simple precautions.”

Coast Guard statistics indicate that the chances of drowning in a recreational boating accident are 1 in 66 for a boater wearing a life jacket, but almost 1 in 11 for a boater who is not.**

“With the launch of the summer boating season in much of the country, we are joining with the National Safe Boating Council and many other valued partners to remind boaters to enjoy the water responsibly and safely,” adds Hoedt.

The Coast Guard’s Boating Safety Resource Center provides recreational boaters information and resources under the “Safety” tab at http://www.uscgboating.org.

* Source: U.S. Coast Guard 2011 National Recreational Boating Survey
** Source: U.S. Coast Guard 2012 Recreational Boating Statistics

Introduction to Navigation Part 5 Understanding Latitude and Longitude

Finding a street address on earth is not a difficult task, however finding a specific location in the middle of the ocean can present the mariner with a few problems.  In order to locate a specific location anywhere on earth, a grid system has been developed to give each area on the earth a specific address.  This system deals with “parallels of latitude” and “meridians of longitude.”

In order to begin to understand how to navigate, the navigator must understand some basic terminology and how it relates to the grid system.

These basics are covered in the online Nautical Know How Basic Boating Safety Course at http://boatsafe.com/navigation . It is highly recommended that, prior to beginning this advanced Coastal Navigation Course, each student successfully complete the Basic Boating Safety Course.

 A “great circle” is a circle formed on a sphere, such as the earth, by the intersection of a plane passing through the center of the sphere.  An arc of a great circle is the shortest distance between two points, hence a great circle route is the shortest route between two points on the earth.  You might think of splitting an orange down the middle and going through the center.  The plane exposed would represent a great circle.

 A “small circle” is a circle formed on a sphere, such as the earth, where the intersection of a plane does not pass through the center of the sphere.  Cut that same orange in any other manner that does not pass through the center and you have created a small circle.

Parallels of Latitude are small circles that are measured from the equator (the only latitude that is a great circle) beginning at O° latitude at the equator to 90° North and South at the Poles.  These parallels are equal distance apart and run horizontally across a chart, like the rungs on a ladder.  You can use the “ladder” analogy to remember that “laddertude” lines are drawn across the chart, not up and down. 

Because latitude lines are equal distance apart they can be used to measure distance on the surface of the earth.  The only parallel of latitude that is a “great circle” is the equator itself as shown in the graphic. You will find latitude measurements on the side of your nautical chart.

Meridians of Longitude are “great circles” that pass through the north and south geographic poles.  The meridian of longitude that cuts through the earth at Greenwich, England is labeled as O° longitude and is known as the prime meridian.  Longitude is then measured from O° at Greenwich to 180° West and 180° East of Greenwich. The 180°th of longitude is the International Dateline.

Related Posts:

https://boatsafe.wordpress.com/2011/05/17/introduction-to-navigation-part-4-getting-to-know-your-magnetic-compass/

https://boatsafe.wordpress.com/2011/05/16/introduction-to-navigation-part-3-definitions/

https://boatsafe.wordpress.com/2011/05/13/introduction-to-navigation-part-2-nautical-charts/

https://boatsafe.wordpress.com/2011/05/12/introduction-to-navigation/

Introduction to Navigation Part 4 Getting to Know Your Magnetic Compass

You may have noticed, if you have looked at a nautical chart, that there were two rings on the compass rose. The outside ring is based on true north and the 000° direction points to the true North Pole. On the inside ring labeled “MAGNETIC” the  000° direction points in a different direction than the outside ring.

These basics are covered in the online Nautical Know How Basic Boating Safety Course at http://boatsafe.com/navigation .

The difference between True and Magnetic is called “Variation.” Variation is a naturally occurring disturbance caused by the magnetic north pole. Variation will change depending on where you are located on the earth. If you are operating on the West Coast of the US you will have east variation because the magnetic north pole is located east of you. On the East Coast of the US you have west variation because the magnetic north pole is west of your location.

Another error which may show up in your magnetic compass is called “Deviation.”  Magnetic compasses are also affected by magnetic fields on the vessel itself. Just put some sort of ferrous metal such as a screw driver next to your compass and you will see an example of this error.

Significant errors of deviation could be caused by metal tanks, your engine, metallic objects near your compass or even electromagnetic interference caused by your radio.

To safely and accurately navigate from one position to another it is important to be able to correct for both “variation” and “deviation”  and be able to steer a course by your magnetic compass.

If you want to learn more about the magnetic compass and how to calculate TVMDC…READ MORE.

Introduction to Navigation Part 3 Definitions

The following navigation terms are used in most recognized navigational texts. Learning and understanding what they mean will give you a head start on the information that is to be presented in later chapters. Don’t worry about memorizing all these at this time. You will get plenty of exposure to these terms as you advance through the course.

These basics are covered in the online Nautical Know How Coastal Navigation  Course at http://boatsafe.com/navigation .

Piloting is defined as the determination of the position and the direction of the movements of a vessel. This involves frequent or continuous reference to landmarks, aids to navigation, and depth sounding.

Direction is the orientation of an imaginary line joining one point to another without regard to the distance between them. Direction is measured in angular units of arc, measured in degrees, from a common reference whether it be true north or magnetic north. The usual reference is true north. The division of the degree may be either minutes and seconds or decimal fractions. Direction is written with three digits as in 000°.

Distance is the separation between two points without regard to direction. In navigation it is measured by the length of a line on the surface of the earth from one point to the other. It may be measured in units of yards, nautical miles or kilometers. The nautical mile is commonly used by navigators. The international nautical mile is 6076.12 feet. This is approximately 1.15 longer than the statute mile used on land.

Time is written as four digits in a 24 hour system; four minutes after midnight is 0004, 9:32 AM would be written as 0932 and 1:16 PM would be written as 1316.

Speed is defined as the rate of movement, and in navigation is usually measured in nautical miles per hour, or knots. The time element is included in the definition of “knot”; the use of knots (kts) per hour is incorrect. Speed is represented on your chart as “S”. Example S = 7.5 kts.

Dead Reckoning (DR) is the projection of a present position to an anticipated future position. This is done by using a previous known position and applying known direction, speed and distance covered. The term comes from deduced reckoning which was abbreviated ded reckoning. DR plots are done at a minimum of every hour or when ever you change course or speed. A new DR plot line is started each time a new “known position” is found.

Course is the direction of travel through the water or the direction a vessel is to be steered or is being steered. The course may be designated as true (T), magnetic (M), or compass (C). Course is always written in three digits and is followed by the abbreviation of its source. Example C = 090° T

Bearing is the direction of any place or object from a given point. It may be designated as true (T), magnetic (M), compass (C) or relative (R). It is always written in three digits and is followed by the abbreviation of its source. Example B = 270° T

Heading is the direction the vessel points or heads at any instant as read from your compass. It is always written in three digits. Example HDG = 270°

Fix is a known location at a specific time based on verifiable information and carrying a high degree of accuracy. Example:  0900

Running Fix is a known location at a specific time, with a lesser degree of accuracy than a fix. It is based on information obtained from a single event at two different times and plotted as a common time. Example:  R Fix 0900

Electronic Fix is a fix obtained from one or more electronic devices. Example:  0900

Introduction to Navigation Part 2 Nautical Charts

Today is the second of a series of articles about Navigation. You can advance your Navigation Know How by participating in the Nautical Know How Coastal Navigation Course.

These basics are covered in the online Nautical Know How Basic Boating Safety Course at http://boatsafe.com/navigation . It is highly recommended that, prior to beginning this advanced Coastal Navigation Course, each student successfully complete the Basic Boating Safety Course.

Nautical charts are different from maps in that they specifically depict water areas while maps concentrate on land area, roads, landmarks, etc. Land areas and features on charts are sketchy and are noted only for their interest to the Navigator. Unlike maps, the nautical chart conveys much information specifically designed to assist in safely navigating the area that the chart covers.

Chart Scaling

 The scale of a chart is expressed as a ratio such as 1:80,000. This could also be represented as the fraction 1/80,000. This means that one unit on the chart represents 80,000 of the same units on the earth. The terms “small scale” and “large scale” can be confusing if you haven’t studied fractions recently. The denominator of the fraction (the number under the line) is the number that changes as the scale of the chart changes. The larger the denominator  the smaller the fraction. For instance 1:80,000 is smaller than 1:40,000, so the larger the denominator the smaller the scale of the chart. That is, a 1:80,000 chart would be a small scale while a 1:40,000 would be a large scale.

 Chart Colors

The major water areas are not colored and retain the white color of the paper itself. Shallow water areas, shown in light blue and light green, indicate shallows that are uncovered at some stage of the tide, such as marsh areas.

 Small objects such as buoys and markers are shown in a magenta color. Because charts are used at night under red light (to keep from impairing night vision) the color magenta shows up best at night and in the day.

 Buoys and dayboards that are actually red are indicated in magenta. Green buoys and dayboards are shown in green.

Lighted buoys, regardless of their color, are shown with a magenta dot over the small circle portion of the chart symbol. Cautions, symbols noting danger, compass roses and recommended courses are also noted in magenta.

For more about the Nautical Know How Coastal Navigation Course…READ MORE.

Introduction to Navigation

Today starts a series of articles about Navigation. We will give you a list of skill sets required to become a “real” navigator and also give you the opportunity to advance your Navigation Know How by participating in the Nautical Know How Coastal Navigation Course. This course will give you step-by-step instructions on how to navigate safely from one point to another. It teaches you to take into consideration all effects including set, drift, tides, currents, etc. that might hinder you along the way.

These basics are covered in the online Nautical Know How Basic Boating Safety Course at http://boatsafe.com/navigation . It is highly recommended that, prior to beginning this advanced Coastal Navigation Course, each student successfully complete the Basic Boating Safety Course.

Navigation can be divided into four primary classifications:

• piloting
• dead reckoning
• electronic navigation
• celestial navigation

The problems that you, as a navigator, must solve are as follows:

1. How to determine your position.
2. How to determine the direction in which to proceed to get from one position to another.
3. How to determine distance and related factors of time and speed as you proceed.

Of these three problems facing every navigator, the most basic is that of locating your position. Unless you know your position, you cannot direct the movements of your vessel with any accuracy, safety or efficiency.

You will need to have, and learn to use, several navigation tools. Although there are many tools at your disposal at any marine store, the following are the minimum necessary:

•  dividers
• parallel rulers
• right angle triangle (optional, but handy)
• charts
• pencils
• hand bearing compass
• steering compass
• watch or chronometer
• log and time-keeping note paper
• calculator, abacus or fingers & toes

One Last Reminder – Is the Drain Plug In?

Invasive species regulations are now in effect in many states and many of them now require boaters to remove the plug and drain the bilge and live well before transporting a watercraft. In our Basic Boating Safety Course we have an extensive section on trailering and one of the things we emphasize is to make sure the drain plug is in before launching your boat.

The majority of recreational boats in the United States are trailered to and from the water. Your boat trailer is only one part of the entire boating package, which includes the boat, trailer, hitch and towing vehicle. Neglecting the trailer’s maintenance can result in damage to your boat, your towing vehicle or both. Below is our check-list for launching.

Launching

1. Do initial launch preparations away from the ramp so as not to impede launching for others.
2. Raise the outdrive or motor, remove the support bracket and install the drain plug.
3. Disconnect the trailer wiring. Remove tie down straps and again check the drain plug.
4. Make any equipment adjustments necessary and check the drain plug.
5. Connect the fuel tank, check fluid levels and check the drain plug.
6. Drive to the ramp and back the boat and trailer down the ramp, keeping the tow vehicle’s wheels out of the water.
7. Set the emergency brake, shift into Park, and block the wheels.
8. Someone should get aboard the boat, turn on the blower, lower the motor, look for water entering the boat, (in case you forgot to check the drain plug) sniff the bilge and start the motor.
9. Make sure you have attached a bow line to the boat, then release the winch and disconnect the winch line.
10. You should be able to launch the boat with a slight shove or by backing the boat off the trailer under power.
11. Return the towing vehicle to the parking lot as soon as the boat is launched so the next person in line may proceed.
12. Move the boat to an area away from the ramp to load additional equipment and passengers.