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Technical Article B1
Space Shuttle Reentry Sonic Boom Seismic Recordings
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This section analyses seismographic data
recorded at various seismic recording stations along the reentry
flight path for STS-107. Where similar data from previous
shuttle missions is available comparisons are made between the
graph produced by Columbia during STS-107 and the other missions.
Because all of the flight parameters have to be identical in order
for the comparison to be valid, only missions with the same
orbital inclination and landing area can be used such as STS-78
and STS-90. In addition to the flight parameters listed, if
the shuttle is at the same location when the data is recorded the
graphs should be nearly identical. Weather conditions may
alter the data but the effects should be relatively minimal.
The map in Fig. TA-B1-1A is
interactive and will go to a larger version of the graphed data
when the thumbnails are clicked on.
Fig.
TA-B1-1A

Typically
there is very little seismic activity recorded due to Space Shuttle
reentries until the orbiter approaches its landing area. At that
point, about 50 miles away from the runway, the shuttle's altitude has
decreased enough that very low intensity sonic booms can be heard by local
residents who are listening for them. Those sonic booms in turn will
be recorded by local seismographs. See,
SonicBoomsSeismic.pdf.
Fig.
TA-B1-1B

Fig. TA-B1-1B
diagrams the sequence of events resulting in a pressure disturbance from a
sonic boom being converted into seismic waves recorded on a seismometer
type device. Based on the description of sonic boom formation
presented in, Technical Article
TA-A3;
Shockwave Formation and Sonic
Booms, the point where a sonic boom is felt and heard is where the surface
of the sonic cone passes over a person or other object. It stands to
reason then that the point where the pressure waves are transferred to the
Earth is where the sonic cone intersects the surface of the Earth.
The pressure waves then become seismic waves that radiate out from that
point and diminish over the distance traveled by some rate that is
dependent on the geological properties of the immediate area.
Seismic recording devices such as those at the TXAR infrasonic array
record the pressure waves transmitted through the Earth from that point.
Both missions
referenced on
Fig. TA-B1-1B,
STS-78 and STS-107, were flown by Columbia and had the same
orbital inclination, 39˚, as well as the same landing point, KSC Runway 33.
According to the STS-107 official investigation the Columbia was still
flying a normal reentry at that point as far as basic flight parameters
such as altitude, velocity, attitude and flight path would indicate.
1The location
where the seismic disturbance originated is the same for both recordings,
(on
Fig. TA-B1-1B Point 1 for STS-78 is the same as Point 1 for STS-107).
Therefore, based on all available information including Columbia's flight
parameters during the STS-107 reentry, the two recordings from the TXAR
Infrasonic array made during the reentries of STS-78 and STS-107 should be identical.
The two seismographs are analyzed below and compared for any differences
that indicate what may have been happening to Columbia at that point
during reentry. See,
Comparative Analysis of STS-78 and STS-107 TXAR Seismographs.
Fig. TA-B1-2

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Fig.
TA-B1-3A

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Fig.
TA-B1-3B

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Fig. TA-B1-4

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Fig. TA-B1-5A

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Fig. TA-B1-5B

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Comparative Analysis of STS-78 and STS-107 TXAR Seismographs
The two TXAR seismograms above,
Fig. TA-B1-5A and
Fig. TA-B1-5B, were both created by Columbia on different dates during
different missions. Both STS-78 and STS-107 had the same orbital
parameters, (altitude = 280 km, orbital
inclination = 39˚), and landed at the same location,
KSC Runway 33. 1Therefore the assumption can be made
that Columbia was in the same relative position and distance to the TXAR array when
both seismographs were recorded during the respective missions. Aside from some variations in the
frequency, which would be expected considering Columbia's loss of control
during STS-107, the major difference between
the two charts is the 2amplitude.
It is observed that the amplitude for STS-107 is four times greater
than that of STS-78.
The factors affecting the strength of the
seismic waves as they travel over a given distance and through a given medium
are unknown, (the dissipation rate over distance, the geology of
the area in question etc.). However, it may be assumed that during
the 7 years which separate the two missions, no great geologic changes
have occurred within the area. 1In
addition the distance traveled by the seismic waves from the point of
origin to the TXAR infrasonic array is the same for both STS-78 and
STS-107. Therefore, the size of the disturbance at that point must
have been at least four times greater for STS-107 than for STS-78, or in
other words the sonic boom was at least four times greater.
Fig.
TA-B1-5C

Based on the diagram and calculations
of
Fig. TA-B1-5C it is possible to predict the amount of energy
transferred to the ground from a sonic boom formed by the same aircraft traveling at the same
velocity during different flights. The calculation is based on the
altitude of each flight as measured at the point of origin for the seismic
disturbance with the difference in the energy transferred to the Earth
being directly proportional to the difference between the altitudes.
The amplitude of the seismic disturbance measured at a given distance from
the point of origin has a one to one relationship to the amount of sonic
energy transferred.
The only explanation for the difference
in the seismic amplitudes between the seismographs of
Fig. TA-B1-5A
and
Fig. TA-B1-5B
is the
difference in the strength of their
related sonic booms and by definition their individual altitudes.
Based on the Energy Density equation in
Fig. TA-B1-5C the altitude of STS-107 must be significantly lower than
the altitude of STS-78 resulting in a greater transfer of sonic energy as
evidenced by the measured seismic amplitudes.
Altitude calculation for Columbia
during the STS-107 reentry at the location where both of the seismic
recordings for STS-78 and STS-107 were made, (Point 1).
This
calculation is based on the format derived in
Observational Analysis:
OA-B1
(Altitude Calculations to Verify the Modified STS-107 Reentry Trajectory).
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(q): |
1° |
| Horizontal
distance (X): |
2,895,393 Ft. |
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(Point 1): |
33.8374, -101.875 |
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End of Debris Field (Point
2): |
31.0315,
-93.0742 |
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Altitude at Point 1 (Y): |
(2,895,393)(Tan
1°) = 50,540 Ft. |
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Based on the
calculation above the altitude
of Columbia at Point 1 during the STS-107 reentry was 50,540
Ft. This is approximately one quarter of the nominal reentry
altitude (208,000 to 210,000 Ft.) for that point during
a typical Space Shuttle reentry. The assumptions are
being made that Columbia was at this nominal altitude when
passing the same location during the STS-78 reentry and that
this location is the point of origin for the seismic
disturbance recorded at the TXAR array during the reentry of
both STS-78 and STS-107.
It has been shown that a linear
relationship exists between the altitude of an aircraft and
the intensity of its sonic boom that is transferred to the
Earth with the seismic values being directly proportional to
the altitude. The observed difference between the
amplitudes recorded on the seismographs for STS-78 and STS-107
is a factor of 4 times.
Therefore, the difference between the
seismic amplitudes 1000/4000 is directly proportional to the
difference in altitudes for the two shuttle flights 50,540
Ft./210,000 Ft. The recorded seismic data directly
supports and confirms the altitude calculated for STS-107
based on the straight line trajectory theorized in section
OA-B1 (Altitude Calculations to Verify the Modified STS-107 Reentry
Trajectory).
The Modified STS-107 Reentry Trajectory,
see Fig.
OA-B1-4, now has at least three
independently verifiable pieces of evidence supporting its
existence.
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Fig. TA-B1-5D

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Fig. TA-B1-6

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Numerous
papers published by the academic teams responsible for reporting on the
various Infrasonic arrays state that the locations of Columbia during the two TXAR
recordings from missions STS-78 and STS-107 were virtually the same.
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The exact
units used for the vertical axis are unknown, (most likely units of
pressure), but they appear to be identical for both graphs.
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