Your appeal to explain why it is more difficult to work
24002800 km on sporadic E than shorter or longer distances has a
relatively straightforward answer (see page 47, January issue).
The effect, by the way, was perfectly described by DL7AV. We have
seen that same effect time and time again over here. I call it
the doughnut effect.
The Doughnut Effect
SporadicE paths between 2400 and 2800 km are more difficult
to complete than longer and shorter paths. The maximum singlehop
distance for sporadicE contacts is about 2300 km, a geometric
restraint based on an average height of Elayer ionization of 105
km or so. Curiously enough, sporadicE paths in the 18002200km
range are probably the most common. This is because the
singlehop distances near the maximum useable frequency (MUF) are
also the longest. As the MUF rises above 50 MHz, the paths
shorten up.
It may be possible that some sporadicE paths at 2400 km or even
longer are also completed by unusually long single hops, perhaps
from patches of Elayer ionization that are somewhat higher than
the average 105 km. Even so, it is more likely that sporadicE
paths longer than 2400 km are via multiple hops.
If that is indeed the case, then a 2400km path must involve two
hops with an average of 1200 km each (the hops do not have to be
of equal length, so long as they total 2400 km). The problem is
that 1200km paths are unusual at 50 MHz, because the required
MUF to create such short hops is high, perhaps in the 100 MHz
range. Thus in order to complete a 2400km path at 50 MHz, two
separate sporadicE centers with MUFs of 100 MHz and spaced 1200
km apart are needed. That is a pretty stiff requirement!
As the path lengthens from 2400 km, the required MUF for the two
sporadicE centers drop, thus making it more likely that the
required geometry will be achieved. In theory, this suggests that
as the distance approaches 4600 km, there should be a greater
incidence of doublehop sporadicE.
When the probability of sporadic contacts are graphed in
twodimensional space, a sort of doughnut shape emerges.
SporadicE contacts are rare shorter than 400 km. That is the
hole. As the distance lengthens from 400 km, the occurrence of
sporadicE contacts increases until 2300 km is reached. That is
the main part of the doughnut. There is a sharp dropoff at 2300
km amounting to a sharp boundary until around 2800 km or so, then
contacts become more and more likely until 4600 km, when the
second, but less sharply defined boundary is reached.
At 4600 km and longer, there are many possible configurations of
hops that make the 4600 to 5200km void less clearly defined. A
4800km path could be completed by three 1600km hops, for
example. The MUF requirements for 1600km hops are not as high as
for 1200km, although finding three sporadicE centers lined up
optimally is not common either. You can make your own
calculations and discover the various possibilities for difficult
distances.
This line of logic suggest that there may be some prime distances
for multihop sporadic E. If the most common singlehop contacts
near the MUF fall into the 1800 to 2200 km range, then the most
common multihop paths might be expected at 36004400, 54006600
km, and so forth.
UKSMG Six News issue
45,
April 1995 
