AIDJEX Bulletin #40 - Polar Science Center - University of Washington

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differential equation. 2. Discontinuities of a solution cannot occur except along characteristics. 3. Characteristics are the only possible branch lines of solutions, i.e., lines for which the same initial value problem may have several solutions. The first property, which shall be exploited in the derivation of characteristic directions and relations, is inherent in the basic fact: A direction is characteristic at a point P if there exists a linear combination of the differential equations for which all the unknowns are differentiated at P only in this direction. A system of equations is said to be hyperbolic if it can be replaced by a linearly equivalent one in which each differential equation contains at every point differentiation in only one characteristic direction. The second and third properties will be more useful in interpreting the results of this analysis. In this section we present formally the approach both for determining the existence of characteristic directions and for determining the equations that hold along each such curve. Assume we are given the system of n equations in n anknowns: which is chosen to have an appearance identical to the system of the four equations shown in (27). If we pre-multiply by the vector RT to obtain R T (43, + BZ + E) = 0, . --Y we obtain one single scalar equation which is a linear combination of the equations. If there exist n distinct roots and n eigenvectors to the system RL (Aa A, - E ) = 0 -a a = 1, 2, ..., n (33) then for each such eigenvector R 'a that there is a linear combination of (31) so 124
m I- a = 1, 2, ..., il (34) which is a set of n equations in z. If we consider the curve < shown in Figure 2 and parameterize it in terms of 5 when x = x(
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DATA BUOYS AIDJEX BULLETIN No. 40 J
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NOTE TO FRIENDS, AND BYSTANDERS . .
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SUMMARY OF TECHNICAL DEVELOPMENTS I
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milestones, kept the vendor working
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The scene during deployment of HF-N
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The initial AIDJEX scientific plan
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poizr-orbiting satellite, which is
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t@ the spacecraft during each orbit
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BUOY NAHE COMMUN. COMMANDS FIXES TA
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L( 0 I 2 3 4 3 Radial error, kilome
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The buoy will be subjected to tempe
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nics occupy about 12 feet of the 17
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Ill -- - KEY AIUJEX WIN WW AEBa 0 4
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event that a melt pond should form
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chute supplied by Paranetics Inc. i
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6'" IqORGANIC LITHIUM BP.TTEI?Y IMP
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OM (AD RAMS) UREMEN~ \ AIRDROP N m
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provides a grid from which geostrop
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words; a four-bit air temperature w
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PERFORMANCE OF MET/OCEAN BUOYS IN A
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Sensor samples were taken every thr
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strengths are known, were used with
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the ice (causing reduced shear). An
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(McPhee, Mangum, and Martin) , TABL
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70°N 75'N n 3 P 17OOW (D Y 170°W
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12OOW * U Station 25. Xeasurements
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(McPhee , Mangum, and Martin) 2701
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(McPhee, Mangum, and Martin) a 0 a
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"i BUOY 4 I 43 360- 309- 257 206 15
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a30gl 251 I 60 511 r 43 BUOY 4 I
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n 4, (McPhee, Mangum, and Martin) 8
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(McPhee, Mangum, and Martin) 33 W c
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. '-,..I.. . B A R R O W W I N D S
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:
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I 25 23 t h--:!li[ NCI PiHCEl4l 22
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.5 .4 .3 0 A R 2 R 0 W J - 0 B U -
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9 1.5 1.0 c 8 w .5 R 930 $ 565 1000
Page 76 and 77: Clock corrections were applied rout
Page 78 and 79: Q) u o z z i 4- 4- Z + + z f n 9 Ef
Page 80 and 81: TABLE 1 DIFFERENCES IN DAILY TEMPER
Page 82 and 83: Laboratory calibration of the ADRAM
Page 84 and 85: 3.20- - 1 t W o? 2 3.051 ...:-.;..
Page 86 and 87: POSITION MEASUREMENTS OF AIDJEX MAN
Page 88 and 89: some redundancy. Four points were u
Page 90 and 91: 75.5 75.: - E75.1 LLI % y75.c - 1 1
Page 92 and 93: The translocation principle removes
Page 94 and 95: POSITION ACCURACY To evaluate the q
Page 96 and 97: TABLE 1 STAND-ALONE ACCURACY 68th P
Page 98 and 99: Az i mu t h s When both receivers a
Page 100 and 101: DATA PROCESSING Following the field
Page 102 and 103: model ice motion in the statistical
Page 104 and 105: FREC 1 INCY / DOPPLER / FREQUENCY /
Page 106 and 107: 35 30 25 v) > 0 2 20 LL 0 r= E m 15
Page 108 and 109: An example of a large-scale buoy ar
Page 110 and 111: observations are needed in remote a
Page 112 and 113: useful for determining how various
Page 114 and 115: as well as velocity fields, we must
Page 116 and 117: Since small changes in the yield su
Page 118 and 119: The transformation of the system of
Page 120 and 121: e able to judge how well such a mod
Page 122 and 123: then the flow rule becomes Q = +A -
Page 124 and 125: [-B' -F Finally, we eliminate Carte
Page 128 and 129: Substituting (36) and (37) into (34
Page 130 and 131: arbitrarily assign the values of 1
Page 132 and 133: The special case when advection can
Page 134 and 135: TABLE 1 STRETCHING, STRESS, ASP CHA
Page 136 and 137: ate of deformation, we have normali
Page 138 and 139: CHARACTERISTIC EQUATIONS The ordina
Page 140 and 141: One way to circumvent the problems
Page 142 and 143: The equations governing solutions a
Page 144 and 145: It is readily seen that when body f
Page 146 and 147: which may be substituted into equat
Page 148 and 149: a the stress derivative dCldS remai
Page 150 and 151: Although we have not studied in thi
Page 152 and 153: Courant, R., and D. Hilbert. 1962.
Page 154 and 155: A RESEARCH PLAN TO TEST THE AIDJEX
Page 156 and 157: the barges managed to reach their d
Page 158 and 159: APPROACH A baseline simulation 0-f
Page 160 and 161: SENSITIVITY OF ICE RESPONSE TO DIFF
Page 162 and 163: Since free drift of ice is computed
Page 164 and 165: and what is observed becomes less i
Page 166 and 167: stresses appear to be relatively un
Page 168 and 169: ehavior is directly related to accu
Page 170 and 171: TABLE 1 COMPARISON OF ESTIMATED ERR
Page 172 and 173: a) Base line b) 24-hour prediction
Page 174 and 175: \ / a) Base line b) 24- hour predi
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a) Base line b) 24- hour predi ct i
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a) Base line b) 24-hour prediction
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\ / a) Base line b) 24-hour predict
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.. a) Base line b) 24- hour predict
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J2 a) Base line b) 24-hour predicti
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) 24-hour prediction c) 36-hour pre
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a) Base line b) 24-hour prediction
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8 Figure 17. AIDJEX surface pressur
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APPENDIX 1 AIDJEX DATA FILES 1. Pos
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9A. Surface-1 eve1 ai r pressure (d
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19. Surface pressure (Val i dated)
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APPENDIX 2 AIDJEX DATA TRANSFERRED
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I -7-71327GEO A Cards (continued) 7
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B Cards (continued) 201
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AIDJEX Bulletin #40 - Polar Science Center - University of Washington

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