5
an
Tre prosraa co resolve che discrepancies is meaciy complete.
Me aes
curacs ami degree of confizerce whica can be attacaed to tne Final esti cates
ef tae Teas and Orange aieLe Crajectories
is comsiceradiv Detter Thea eas
Anticipated at ene tise of the nich-aitituce sats.
Resubts of tais trajccton
eanuissis prograa will de rearted separatel,�� ami will cherefere cal, bc sua-
suriced mere.
Final crajector estisates are incivted at che end of Cais
seclicn.
5.3.+
Tine of Flight and Nasizmnm Altitude
.
One extretely significaar and basic Fact was brought out bs che trajecterm
analysis chich greatly improves contidence in the alticude-versus-tine histery
of the rockets.
studies.
This is the most critical trajectory paraaeter for attenuaticn
Specifically, it was outed thac the cutal cise of fliyhe of a vehicle
was related to the aaxims altitude reached by thse vehicle.
The relationship
was of che furah-a Bt where ho is smaxicam altituce, A amd B are constunts,
ani ct is total cise of Flighe.
was required to evaluate h.
Thus, once A and 3 were deterained, only ¢
Fortunately, the recorded Hi-Lo attenciion data
were in the fura of received signal strength versus tine and, consequently,
total cine of Elight could be determined from the signal cutofi.
tance of this relationship cannot be overe=xphasized.
The isper-
Fur exacple, te. vehicles
will Nave nearly identical cocal tines of flight even though one vehicte is
launched vertically bur attains only a relacivels low alcitude because of pour
rocket swtor performance, while the second vehicle is launched ever a low,
Flat trajectory to the sase soximo altitude with norsal rocket ater.
‘
performance.
Another way to peesent this relationship is to state that vertical motion
is independent of horizontal aocion.
Although cais statasent is valid fur
Eligne in a vacuus, that it aisht also be etrve in the presence of sn atrophece
is far froa obvious.
To the contrary,
it can be shown thar, with the action
of drag as a facter, horicontal aml vertical accion, are actually interdepem
dence.
[f a coasting purtion of the trajectur: is considered, during which
drag is significance,
9
s
t
ates
hy
dv,
the equation for che vertical oavciun is:
¥ & (-