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64 p a r t I I : F u n d a m e n t a l s<br />

means we are interested at a minimum in the MUF at the midpoint of each hop on the<br />

path between the transmitting and receiving sites.<br />

For the 7500-mi path previously cited, we will normally want to be sure the MUF is<br />

above our chosen transmitting frequency in the vicinity of at least three places spaced<br />

2500 mi apart from each other, each corresponding to the midpoint of one of the three<br />

hops minimally required to establish communications over that particular path.<br />

Just as you can’t determine the weather in New York City by sticking your head out<br />

the window in Los Angeles, you can’t draw any conclusions about your ability to communicate<br />

with an amateur in China by the signal strength of an amateur in a neighboring<br />

state. As discussed earlier, the MUF at each specific place on this globe is a function<br />

of many variables. Here are two specific examples:<br />

• MUFs are greatest near the equator and decline with increasing latitude, both<br />

north or south. As a general rule, on any given day noontime one-hop transÂ<br />

equatorial communications having the midpoint of the hop close to the equator<br />

will be possible on higher frequencies than can be supported by paths anywhere<br />

else on the globe. Although multihop links are possible, the typically lower<br />

MUFs at the midpoints of the outer hops will force use of a lower frequency.<br />

• MUFs usually “follow the sun”, peaking shortly after noon. To maximize the<br />

likelihood of being able to communicate on a typical midlatitude east/west<br />

path, such as between Maine and Oregon or between California and Hawaii,<br />

choose a time when it’s midafternoon at the eastern end of the circuit and midto<br />

late-morning at the western end. For best signal-to-noise ratios, pick the<br />

highest operating frequency that appears to be open that day.<br />

Of course, these are guidelines for the daytime bands. For the nighttime bands, you<br />

typically want to select a time when the MUFs at the hop midpoints (called control<br />

points) are as low as possible, yet still above the desired operating frequency. This minimizes<br />

signal loss from D-layer absorption.<br />

Great Circle Paths<br />

As airplane pilots and seasoned air travelers well know, determining the correct direction<br />

in which to travel to get from one area of our globe to another is not always as<br />

simple as it appears. Using the traditional wall map found in schools, it would appear<br />

a traveler could board a jet plane one morning at Reagan International Airport outside<br />

Washington, D.C., and, by traveling due east, arrive in Lisbon, Portugal, in time for dinner.<br />

In truth, if you head due east from Washington, D.C., across the Atlantic, the first<br />

landfall will be West Africa, somewhere near Zaire or Angola. Why? Because the great<br />

circle bearing 90 degrees takes us far south of Portugal. Similarly, if we operate a Portuguese<br />

language shortwave broadcast station near Washington, D.C., and want to maximize<br />

the signal we deliver to listeners in Lisbon, our conventional wall map might<br />

cause us to beam our signal due east when the correct direction is northeast. The geometry<br />

of spheres, not flat surfaces, governs air travel and radio waves on our spherical<br />

world.<br />

The problem of accurately representing the surface of a sphere on a flat two-dimensional<br />

surface such as a sheet of paper has confounded cartographers for centuries.<br />

Even today, despite the best efforts of the National Geographic Society and other experts,<br />

there is no one projection that is best for all possible uses.

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