Plot:
.

~ We proceed now to describe the method of constructing the isodese

contours for the simpler case of the static hodograph. The static hodograph
presents a plan view of the vertical structure of the forecast idnds at-

zero tine and at the origin. Pig. 1 is s sample hodograph constructed
fran data in Table I, The criticiens against the static hodograph are that
4t shold not be expected to persist unchanged even at the origin throuche
cut the time of fall-out, end that it does not in princinle aprly at all
ta points displaced fram the origin. These criticiems become mre imrortcnt

as one attempts to forecast thd lowleval iscdose lines which are estahlished
at considerable ¢istances: from tho origin and many hours after shot tins.

The static hedograph does, however, provide 6 useful suide ond has the
virtue that 2 plot can be prepared from it very quickly indeed.

Using the sample hodocraph of Pig, 1 let us compute the dose index

for point "P* at 40° and 60 nautical miles from ground sero. There will

be two componente for "“P* and all other scints along the redius fron "Z*
through *P". From the hodograph the intercept heights ond distances cre
79,000 2 and 45 miles at */.", and 39,000 %% and 73 ailee at".

is

nentioned above the total index for "FP" is the aum of the indices computed
Let us consider first the index free intercept "/.".. Particles wiich
fell at ".." on the surface start at 79,000 ft above Zero... «2 they fell

tc 65,%O rt they travel westward approximately 75 miles... In fallins the

next 5,000 f% they travel approximately 10 miles scuthwest; Thereafter
‘ner swing arcand through the scuth, travel castward between 50,000 and
a£,1100 ft, gradually turn to the northeast, ond at about 15,000 ft settle
ints the surface trades for the last 20 miles of westward travel to pcint
“3, Sdnee the hodogreph is draw: for the convoniont rate of 5,000 ft per
hour the particles arrive at %:." 15.8 hours after sero. Particles arriving
at "P® from 79,000 ft mist spend a slightly longer tine in ecch altitudes
layer; their trajectary is similar to that for the faster~falling particles

but is expended, Thee relative time for particles to arrive at *P* camparad
to "2" is given by the ratio of the vector sums or by the factor 60/45 =
1.33. The time in houre is therefore 21.3 hours.
Now we have aseumed a rolationshir between fall rate and particle
Ciameter given by Stoke's law. Srecifically, for land shots et the Pacific
Proving Grounda, we assume that 75-aicron particles settle at 4,000 ft rer
hour. Particles arriving at "P* from 79,000 ft settle at 3,740 ft per hour
ond are therefore slightly smaller than 7§ microns. Stoke's law cives

values 72.4 cicrons
T2eb wicrons., Using equation (3) with the sumerical tha
intercept 7." <f
end 21.1 hours coe obtains a dese index at "P* from

approximately 12.

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