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The 7/8ths rule, or doubling the bearing
Ever want to know how near or far you are from a point on land?Here's an easy exercise, but it presumes you are holding a steady
course and speed. Pick a point on land that you are going to pass abeam. Note the time in minutes and seconds when it is 30-degrees off the
bow. When the point is 60-degrees off the bow, note the time again. Subtract the first time from the second time, and calculate the
distance accomplished.
Simplified example: An exactly ten minute run at 18 knots will cover
1/6 of 18 nautical miles or three nautical miles. The distance run between the 30-degree reading and the 60-degree
reading will equal the distance to the point on land at the position
of the 60-degree reading. To know how close the boat will pass to the point of land when it is
directly abeam (90 degree relative bearing), multiply the 60-degree
reading by 7/8. |
Chuck
Feb 27
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| To heck with all this math, just buy a GPS. ;) |
Reginald
Feb 27
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| >bow.
>
>When the point is 60-degrees off the bow, note the time again. That's an old tried and true piloting trick but I prefer to use my
radar, much quicker and probably more accurate. |
Wayne.B
Feb 27
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| How does one calculate the distance to a point on land with a GPS? Rick |
PhantMan
Feb 27
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| As long as there is a built in map it's very easy. |
D.Duck
Feb 27
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| Rick, Check out some of the GPS units available today, it should answer your
question. http://www.gpsonsale.com/MarineGPS/Marine-Index.htm |
Reginald
Feb 27
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| >As long as there is a built in map it's very easy. A built in map is not necessary. Assuming you have a chart, always a good idea, use the GPS to get your
lat/lon, plot your lat/lon position on the chart, and measure from
there to the point of land. Old fashioned navigation 101, sort of in between Chuck's piloting
trick and the present state of the art. Distance off by radar goes back a really long way however, for those
who had it onboard. There was an intermediate state of technology with the early Loran-C
units that read out in "lines of position" (LOPs), instead of in
Lat/Lon. To use LOPs you had to have a chart with the lines
overprinted on the chart detail. Each station had its own set of
lines, and with a different designator. A a minimum of two stations
was required to get a fix. It all seems very backward these days but
it was a huge step forward at the time (late 70s/early 80s). For
once we could actually figure out exactly where we were to a
reasonable degree of accuracy, even in the fog. Prior to that a lot
of boats were using aircraft VOR equipment which was OK along the
coast but not for too far. Loran-A was available also but the
equipment was power hungry and difficult to use, especially at night
with sky wave reflections. |
Wayne.B
Feb 27
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| Conversely, if you don't have a GPS from which to extract coordinates
and want to know your location on the chart when the object ashore is
directly abeam, begin by scribing a line on the chart that represents
your heading. (Parallel rules from compass rose technique). This line
does not need to be the exact distance from shore when it is penciled
onto the chart. After multiplying the distance determined at the 60-degree bearing by
7/8 and getting the distance set off at 90-degrees relative bearing,
set the dividers for that distance and describe a short arc where it
would seem to make sense for the boat to be located given the distance
from the point ashore. Somewhere in that arc is your position. To find
out exactly where, more the heading line to a point where it just
touches the arc (if the heading line passes through the arc it has
been moved too close to land). This "two-point" fix will be
surprisingly accurate in most circumstances, and shoud prove adequate
for casual coastal navigation. Yeah, it's easier to use a GPS plotter. :-) |
Chuck
Feb 27
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| Okay thanks. Actually, I didn't have the same type "point" in mind.
More like something that wouldn't be on a chart. Like a tall tree back
off the beach or something. Or if on the water, a race course bouy.
Guess I was hoping for electronic majic (ya never know these days). But thanks,
Rick |
PhantMan
Feb 27
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| For sure, but your "running fix" method is childs play compared to
trying to get a fix with a 1960s era Loran-A, adjusting the time delay
dials, trying to get the pulse blips to line up on the oscilloscope
display, while the sailboat you are on is heaving and tossing with
dying batteries as you are closing on a foggy, rock bound Maine coast
at 5 in the morning. Yee Ha! Now that was navigation kiddies, and we were only a mile off
after sailing for 36 hours. Close enough for government work as we
used to say. |
Wayne.B
Feb 27
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| Heh. One time when my buddies and I were out fishing off of Baker's
Island in my Dad's boat, heavy fog moved in but we weren't at all
worried as we had a range fix on WBZ AM in Boston and WESO AM in Salem
along with a Loran A fix which was pretty solid. As we're returning to Marblehead, we could hear the Eagle Island Shoal
horn off the port beam and the harbor bell off the starboard. Hey we're
golden - we know exactly where we are, took a compass bearing and headed
into the harbor. Cranked the revs on the engine up a little - whoo hoo!! Just about then this really big gray with guns and radar and sqiuds
hanging off the rails. The Navy, in it's infinite wisdom, decided to
arrive early for the July 4th celebration which I proceeded to have a
near miss with. Damn squids. |
Short
Feb 28
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