Office Memorandum
UNITED STATES GOVERMMENTV
to X Br. Reuyl/Ur. Cobb date: 15 May 1950
from : B. E. Billupa
subject: yy«pgai)txi{KMxx*KrKxxxxx«rxii»«t¥TKyx
Estimates of Gravity deflections and proposals for further inveatij
> possession of the following
al in the White Sands area.
Station
El Paso
JDarilla
R
D
A0 («)
- 3.U
- 3.19
- 1.09
. - 1.27
AX(»)
- 5.54
/ 8.70
/ 6.16
- 1.95
2. The general aquation for the deflection of the vertical
F can be expressed by the following general formula, since the force
required to cause a deviation is proportional to the deviation itself
for small angles. Only the portion of the earth projecting above the
mean valley floor will be considered here because the center of gravity
of the various sections beneath this level is 30 to L0 miles away, and
movement of short distances on the earth's surface will not alter this
effect seriously.
F - kM / C.
F is the deflection in seconds of arc
kM is the mass of a mountain or other mass to be considered
multiplied by some constant.
d is the distance from the center of gravity of the mass
whose affect is to be measured to the point under consideration.
C is the residual deflection due to location within the continental mass and to other non-varying causes.
6^ 3. Considering the Organ Massif only, and considering the
effect e* the longitudinal component only, a table of distances from the
center of gravity of this range estimated from a map is given in the
following table:
Station Jarilla R D E F 2-
■ d (Miles 26 15 9 6 3^-5"
d2 676 225 81 36 9 ^iS
4. Using the values obtained above for D and R as the
basis of the forthcoming estimate, it is possil
simultaneous solution to obtain values for WW t
NMSU Department of Astronomy: Clyde W. Tombaugh Papers
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Ms0407pp074015_0010001.tif
Source
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Type
Text
Format
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Language
eng
OCR
Office Memorandum
UNITED STATES GOVERMMENTV
to X Br. Reuyl/Ur. Cobb date: 15 May 1950
from : B. E. Billupa
subject: yy«pgai)txi{KMxx*KrKxxxxx«rxii»«t¥TKyx
Estimates of Gravity deflections and proposals for further inveatij
> possession of the following
al in the White Sands area.
Station
El Paso
JDarilla
R
D
A0 («)
- 3.U
- 3.19
- 1.09
. - 1.27
AX(»)
- 5.54
/ 8.70
/ 6.16
- 1.95
2. The general aquation for the deflection of the vertical
F can be expressed by the following general formula, since the force
required to cause a deviation is proportional to the deviation itself
for small angles. Only the portion of the earth projecting above the
mean valley floor will be considered here because the center of gravity
of the various sections beneath this level is 30 to L0 miles away, and
movement of short distances on the earth's surface will not alter this
effect seriously.
F - kM / C.
F is the deflection in seconds of arc
kM is the mass of a mountain or other mass to be considered
multiplied by some constant.
d is the distance from the center of gravity of the mass
whose affect is to be measured to the point under consideration.
C is the residual deflection due to location within the continental mass and to other non-varying causes.
6^ 3. Considering the Organ Massif only, and considering the
effect e* the longitudinal component only, a table of distances from the
center of gravity of this range estimated from a map is given in the
following table:
Station Jarilla R D E F 2-
■ d (Miles 26 15 9 6 3^-5"
d2 676 225 81 36 9 ^iS
4. Using the values obtained above for D and R as the
basis of the forthcoming estimate, it is possil
simultaneous solution to obtain values for WW t