REPORT CRPL-1-2, 3-1, A ISSUED NOVEMBER 1,1948
U. S. DEPARTMENT OF COMMERCE NATIONAL BUREAU OF STANDARDS
CENTRAL RADIO PROPAGATION LABORATORY WASHINGTON, D. C.
SUPPLEMENT TO REPORT
CRPL-1-2, 3-1
Report Noc NATIONAL BUREAU OF STANDARDS Nov» 1, 1948 CRPL-1-2, 3-1, A CENTRAL RADIO PROPAGATION LABORATORY
WASHINGTON, D0Ge
SUPPLEMENT TO REPORT CRPL-1-2, 3-1
Contents s
la Tables I»VIe Azimuth and distance of the subsolar point for stations at various latitudes,.
20 Tables VII-XIIC Local time and azimuth of the subsolar point for stations at various latitudes0
30 Revisions of Figures 3,4,9,10,15,16,21 and 22, CRPL-1-2, 3-l»
Description and use of tables
The charts of Figures 1-108 of report CRPL-1-2, 3-1 give field intensity contours for transmitting stations at specified distances from the subsolar point, plotted for azimuths relative to that of the subsolar point. To use these charts, the distance of the subsolar point from the transmitting station must be known, as well as the azimuth of the transmission path between the transmitting station and the point at which it is desired to know the field intensity,,
-ft
Tables I through VI give the azimuth and distance of the subsolar point for each hour of the day (apparent solar time at the transmitting station) for stations located at each 10° of latitude on the earth8s surface, and solar declinations of +23°, 0°, and «230o
Tables VII-XII present a somewhat more useful form of the information in tables I-VIC In tables VII-XII the local time "t" and the azimuth e,af> of th® subsolar point are tabulated for particular distances of the subsolar point corresponding to those represented in the charts of report CRPL°1“2, 3~10
Tables VII-XII are in the nature of a guide for us© in rapidly plotting field intensity as a function of time of day for a given transmission path0 Given the latitude of the transmitting station and the azimuth of the path at that station, in degrees clockwise from north, the following procedure may be followed to determine the field intensity, relative to 1 kw radiated on an omnidirectional antenna0
*Tables I»VI are the same as those issued previously as a supplement to report CRPL-1-2, 3-le
- 2 -
10 For the desired solar declination, th@ latitude nearest that of the transmitter,,
20 Uising a fora similar to that in the example b@low9 writ® ins
Column X9 th® distant© to the subsolsg8 pointe Column 2 9 th© local times tp both forenoon and afternoon,. Column 3s th© azlmuthi of the subsolar point &5 both -forenoon and aft®raoon0
3° Column 49 enter the difference between the azimuth of the path and that of the subsolar point, without regard to aign0
4o Using the data of columns 1 ©nd 4» &ad for th® desired frequency, determine th© field intensity for each local time from the appropriate chart of Figs0 1-103 of report CRPL 1-2, 3-l0
50 To obtain field intensities at other local times, plot th© values found in step 4 as & function of local time, draw & smooth curve through the points, and rt&d field intensity for desired local times from th© eurv©0
Example0 Latitude of station &ssi®uih of path 40°s frequency ■ 10 Me0 Solar declination + 23® (northern hemisphere summer)| distance ■ 6000 ton^ gunspot minimum, Tfaa data for 40°N will be us@d, from T&bl© IJi0
1 2 3 2 5 6 Distance to Subsolar point
(Km)
Local Tim©
t
Aziasuth U@go)
a
Different® Field in Intensity
Azimuths* (uv/sa)
Chart Used
12500 01o7 25 15 90Q
—
Fig. 64
10000 04o7 59 19 3o0 Fig0 52
7500 06o7 78 38 1,3 Figo 40
5000 08o7 97 57 0*7 Figo 28
2500 10o9 134 94 00 8 Figc 16 (revised)
2500 1301 226 186 lo5 Figc 16 (revised)
5000 15o3 263 223 3o0 Fig0 28
7500 1703 282 242 13o0 Fig0 40
10000 1903 301 261 16S0 Fig0 52
12500 22 0 3 335 295 18o0 Figo 64
- 3 -
It should b© noted that, although the field intensity ©harts, Figures 1-108, of CRPL-1-2, 3-1 &r® nominally to fee regarded ms if the transmitting station ®@r@ located at th® center, becaus® of the reciprocity relationship, th© field intensity is th® same if th© locations of receiving and transmitting stations are interchanged,. Thus th® above proc@dur® also gives the field intensity if all assismths, distance®, tlaes, and th® latitude «r@ referred to th® receiving location,,
Revisions of Figures 3.4„9ol0«,i5oX6o2I and 22„
Th® attached field intensity charts, labeled Figur©@ 39499,XQ»]?§&16,21 and 22 (revised), rsplac® the charts of the same figure numbers la report CRPM-2, 3~lc
*
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3tstipn Looai Time
Station Local 'Time 12 13 1.4 15 16 1 17 i "is"'4 ~9l 20 21 22 21
90 10000 10000 10000 10000
■ ■ 1
10000 10000 ' 755
9710 756" 944o
10000 ’ 270 79000
270 10000
10000 *285“ 10290
2S4 105d0
10000 '300 10550
4 299
11090
10000 716
10780
"“313 11560
—
10000 10000
so ISO SS90
195 S970
210 9o4o _ 212 8090 . ^
zisl
225 9^20
“227” 844o 229 7700
240 9450 241" S9X0 243 S390
330 10960 32s
11910
345 | 11070J 344
il2l40 i "343 13210 Jo
ISO
J1ZSL iso 6670
196 7SS0 197 6790
257 9170
PJO 10000
283 10830
297 11610
311 12300
32o 12850
riso 199 217 ?32 246 25S 270 2S2 294 30S “7 ‘•>*7 jO 341
so 9560 5740 6?4o 7000 1 7920 894o 10000 IIO60 120S0 17000 17760 lMS_J ISO 203 222 I ?37 ?50 oto 1 F 270 2o0 290 303 718 j 337
4o 444o 4700 53 SO 6360 7500 8730 10000 11270 12500 1764c 14620 16300 ISO 20S 229 2% 2§T 2S2 r 270 27s 286” 297 311 i 332
! 30 3690 46oo 5300 7150 S56o 10000 lli44o 12850 1.4200 15400 16310 I ISO 21S 07 G 251 259 270 275 281 2 89 701 ! 322
20 2220 2760 _ 3950 5379 6 890 s44o 10000 111560 15110 14630 16050 117240 ISO 237 253 260 2o 4 “ "26"7 ” 270 273 ' ?% 280 287 307
10 1110 2000 3500 5100 6720 S760 10000 !iio4o 17280 l49oo 1d600 18000 _ 270 770 j 270“ 270 "270 ' 270 PJO 270 PJO 270 270
Lo 0 aim jliel ^ooo_ J? 6J0 im 10000 11670 13370 16000 16670 llS’330
Table I. Azimuth in degrees clockwise from north (upper number) and distance in kilometers (lower number) of the subsolar point from s station in the northern hemisphere. Solar declination 0°,
Sta
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„ Station Laem! Tim®.. _ .... _ _
1 00 01 i 02 S 03 I 04 05" 1 0b i 07 og | 09 I 10 | 11 |
i ”90 110000
8 8 1 1 csriasco ca<mi3 ,'j ojctdcb f, <ratocn
10000 lioooo I10000 S10000 1000Q 105
102pQ
<3Doaao
10000 | ccodod
lioooo .10000. 10000 lioooo lioooo 1
-$9 ISO
11110 165 I 150 j 133"T120
11070 109.6.0 ll07«Q JM550 90
10000 75
9710 So
9450 45
9220 30 9o4o
15 j 8930
-70
So
ISO 12220...
164 148 1 133 I 119 X2l4o S11910 111560 111090 10560
90 10000
\7b 1 944o
61 8910
rtr 1 S44o
32 1 8090
l6| 7860
180 17T3Q
163 vtS j 131 j 117 11210 IX2$50 0.2300 ELl6l0
103 1083 0
9o 10000
77 9170
63 8390
rw 7700
54 7X50
i? 1 16790
»50 aso iWkj
161 [143 iteSo (13760
i 128 j 114 13000 120S0
102 90 11060 lioooo 89 4o
66 •!9f.C
52 700©
1 37 624©
19 5740 I
~4o 180
1*5560 157 13S
15300 114620 123 110
13640 12500 100 90
11270 llOOOO 80
8730 70
7500 57
6169 TET"
5380 231
1 4700
.-"30 ISO
16670 152 i 131
i6iio.i15.loo 117 106
14200 112850 98 9o
n44o lioooo 82
S56o 7^
IMP rsj ! 5S90
49 46 00
ss\ 369.QJ
L ISO
1TTS0 T42 I 121 17240 160®
109 TT01 14630 15110
95 .115601
9o 10000
«fn s44o 689$
71 5579
' 59 3950
3H 1 276©
| -w 1*0
18890 123 107
18000 1x6500 100 96 | 93
Ii49oo I13280 txi64o To
10000 §7
S160 84
6729 ! go I 5100
73 L350L
f57| 1 2000 1
1 o 20000 : 90 f 90 18150 1i66TO
90 90 15000 13330
90 90 1x679 lioooo
9o .J33Q-
9© 66tq
90 So j 90 JiifiiiSiaJ
Station local Tim® i i? 13 ... i .14 15 S .16. 17 fl IS 19 m 21 1 1 22 l 21
qaiTOap «34KSHj«SD f ODCW3 uxkjsxxs j) oiKWcar/
10000 lioooo 10000 lioooo
—r 1 czxraczB
10000 10000 10000 10000 195
11070 1 -go 0
8890 W| 330 .S3.0i.9lA0
315 300 9220 j 9450
28'5 | 2J0 9710 llOOOO
255 1029©
2W 10550.
1 225 19789
210 1096 0
0 ■Icfip.
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JW I 32g jfSalMa.
343 I 52b b79© 7150
313 T299 g44o 8910 311 1 29? 7700 S 8390
284 944q 283 9170
270 2rp 1Q000 10560
270 ng? 10000 110S3O
241 11090 "243 HSio
221 11560
229 X?50p
2X2 TJjxo 2xT
12850
"1961 12l4o
197 13210 S
■=^§0 0
5560 ~34ij 321
574© i bs4© 30S jwr 7000 7920
282 S34o
270 I 258 j 246 10000 111060 112080
232
13000 217
15760 199 1’
i4s6o..
1 «4o 0
Wo 337 31s 4700 S 53S0
303 I 29Q 6360 1 7500
280 8730
270 10000
270 j 100001
2b0| 25© 11270 1X2500
23? 13649
222 14620
203 15MQJ
L=3D 0
3330 Jlfe
297)2^ 5800 7150
27^ 8560
262 | 254 Il440jl2i50
Ho 14200
229 15400
80S
aiiMJ 0
. -2Q J. 2220 322 1 301 2760 3950
289 [ 281 5170 ! 6890
275 s44o
270 1 10000
265 | 11.560
259 riuo
251 iMhl
^39 X6O50
218 17240.
0 L=?io! mo
303 1 28? M9..iJ5a0j
280 ! 276 5100 6720
273 siSo
g?o 10000
26? j ll64o
264 15SS0
s6o 75900
253 >25? IgQOQji Baww—MWPW
270 18330 1
27® j 270 ifctalBie-
270 j 270 5000 ! 68701
270 .633 Q_!
270 J-SfiSSJ
270 j 270 27© H£pT l66?0
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213 6500
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244 6920
259 .1200.
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303 SQ22.
317 532 J46 8250 $4l0 1 8520.1
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7610 292 Sl60
305 S660
319 [333 9080 9400 .4ati
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203 223 472Q.
25b 6150 6970
2S2 7800
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Ml* XXI0 Asiwath in degrees clockwise from north Cupper mmh^r) aad diitsae® ia kil©a©t®ra (lever ounber) ©£ the smb@®X®,f point frm a afc&tioa. ia th© mrtk®n& kml8ph®r®0 Selar elin&tie© 4>2jt
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Station Local fiT
Ml® IV0 A^totk la degrees el&ekwis® frm north (npper awlse?) gad distance in kilometers (lower number5 of th© stsibsolar point fro® & station In th© southern h@misph®r®0 iolar declination +23®o
Station Local flat©
\z . 13 ■“T4 i*5 pCBT it xin 19 " 20 t 21 r 22 yk _ G* ~j* . k
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Table ¥20 Aste&tk i& &©|?r@®s sleeker is© frois north (tspper sssaibas) and distance in Clwef msra'bsr) of the- sab sola? point frm. a station in the southern h©sisph©r©0 Sola? declination <=23 0
Table ¥11
Sola? declination » 0C
Distance from transmitting station to mibsolar point. 2500 km 5000 km 7500 km 10000 ka 12500 km 15000 km 17500 km
Latr t t t
10o3 153 13.7 207 09„3 136
06o0 90 18,. 0 270 06o0 90 01o7 27
06o0 90 02o7 44
-8-50°
7.45°
08o 5 121
.^5JU9 12o0 180 12.0 180 10o 5 147
nm
03o7 65 00o0 00
03o9 70 01„ 5 33 e
09o9 137 07o9 107 06o0 90 04ol 73 02ol 43 14.1 223 16.1 253 18.0 270 19.9 287 21.9 317 09o6 126 07O8 104 06o0 90 04o2 76 02o4 54
,2 256 18.0 270 19,8 284 21.6
10o8 130 .2 230
0?o6 96 16.4 264
+10 10o6 114 09ol 100 07o 5 94
14.9 260 16.5 266
Q4o 4 84 286
,0 90 04o 5 86 19^5. ...274
02o9 80 21.1 280
01o2 50 22.8 310 01o4 66 22.6 294 01o5 79
09o0 90 15.0 270
07o5 90 16.5 270
t » apparent solar tin© at the transmitting station
a s aaimuth of subsol&r point from th@ transmitting station,
Table VIII
Solar declination = 0°
Distance from transmitting station to subsolar pointc
Lat. 2500 km 5000 km 7500 km 10000 km 12500 las 15000 km t a t a t_ a, t_ a t_a _t a
17500 km t a
06o0 90 18.0 270 06n0 90
t a apparent solar time at th© transmitting statioa0
a * azimuth of subsol&r point from th© transmitting siati©n0
Table II
Solar declination ** + 23°
Lat,
Distance from transmitting station to subpolar point0 2500 km 5000 km 7500 km 10000 km 12500 k® 15000 km 17500 ki t a t_a_ t & _ _ t_a_t a__t_ & t a
06e2
+65
±s£
10o 5 1 52 069 2 84 01o7 24 13.5 208 17-8 276 22.3 336 09o6 129 06o3 83 02o8 39 14.4 231 17.7 277 21.2 321 09ol 117 06o4 82 03o 5 48 14.9243 17.8278 20.5312
+50
+45° 1108 12,2 196 10o9 134 13.1 226 10o 5 116
2ULJM.
08.9 109 06o 5 81 04o0 53 15.1 251 17.5 279_ 08s8 103 06e6 79 04<,3 56
17.4 281 19.7 304 08o7 97
263 06o7 78 .17.3 282
04o7 59
1-2aU0L
10 u 102 08o7 87 06o9 13^.8 258 15.3 273 17.1
92 06o 8 77 04o 9 6] 268 17.2 283 19.1 299
0204 35 21.6 325
75 05ol ,9 43
3 64 03o3 48
07.! 72 05o4 65 03„6 53 00o8 16 I6JL288__1! 07o2 71 05o6 66 03o8 57 01o6 32 16,8.389 18^4.294.20.2 103 . 22.4.328 07o4 69 05o7 66 04ol 60 02ol 42
6 291 18^3.294 19.9 67 04o2 i
19.8 2^ 02o4 21.6
50
12o0 00 09s4 57 07o7 65 06o0 6? 04o4 65 02o< 0-l60_lj^6j3QX,-16^3,295-.. 18.0 293- 1^6,295, _21^
00o0 00 ,0
t » apparent solar time at the transmitting station,,
a SB asimuth of subsolar point from the transmitting station,
Table X
Solar declination » + 23°
Latr
=70°
-65°
Distance from transmitting station to subsolar pointc 2500 km 5000 km. 7500 km 10000 km 12500 km 15000 km 17500 km
05o8 85 18.2 275
106 3 24
JJLJLUJL 05o8 84 18.2 276
01o 5 152 m
=60c
z5£
~50
09o2 39
1L&JZL 05o7 83 18.3 277
02o4 129
21,6.231 0209 117
07o7 56
2JLU,Q4
05.4 79 18^6 281
09o6 35
05o3 78
L2LJ282, 0701 61 05o2 77
63 05ol 75
03.1 109
20._9__.251_ 03o2 103 0Qo2 164 20.8 2 57 2 3.8 196
03o3 97 01ol 134
mjLMi 0105 116
01c6 102 22^2i8.
O303 92 20.7 268 03o3 87
20.7,273,.
09o9 42
12s0 00 12.0 360
l^OJOO.... mi 2.94,
07.8 63 06ol 67 04.5 67
Ma2m22-»izA2-2^^ 07o7 65 06o0 67 04o4 65
^L22i_^o_221
020 8 63 21.2 297 027557
00o9 34 J3^J2£
t * apparent solar time at the transmitting station,
a * azimuth of subsolar point from the transmitting station,
Table XI
Solar declination s ~ 23°
Distance from transmitting station to subsolar point.
Lain 2500 km t a
5000 km t a
7500 km t a
10000 km t a
15000 km t &
+70° 10o3 156
iim
12500 km t a
05o8 95 18.2 265 05o8 96 010 5 18^2
17500 km t a
+5£
09,2 14.8 21
12o0 180 12^0 180
08o0 127
lLfl.232
10o3 155 1347 205 O906 145 U, 4 215
07o3 121
07ol 119 16.9 241
18.7 258 05o2 103 18.8 257 20.
Q3o3
t « apparent solar time at the transmitting station.
a * azimuth of subsolar point from the transmitting station,,
Table XII
Solar declination ■ =■ 23°
Distance from transmitting station to subsolar point. 2500 km 5000 km
L&tr 7500 km
t a 06o 2 95 17.8265
10000 km t a
12500 km t &
15000 km t a
10o4 103 13.6 257
08o8 103 15.2 257
07oX 108 05o4 5-15 18.6 245
5 115
10o7 128 13.3 232
i.9 15.1 252
07o2 109 16.8 251
05o6 114 Jl
03o6 127 2cyL
n0i 146 12.9 214 121 12,
09o0 112 07o4 HI 05o7 114 15.Q 24.8... ,16.6 249 18.3 246
03o8 123 20.2 237
“04ol 120 19.9 240
09o4 123 14.6 237
115 Of £
Jdk2L
06o0 113 18.0 247
04o4 115 19.6 245
02o6 123 2Ul22L
17500 km t a
,0 180 L0 180
t ® apparent solar time at the transmitting station0
a * azimuth of subaolar point from the transmitting station,
CENTRAL RAOtO PROPAGATION LABORATORY NATIONAL BUREAU OF STANDARDS
WASHINGTON, DC
Flfl. 3 (REVISED)
FIELD INTENSITY, pv/m, I KW, 7 Me SUBSOLAR DISTANCE, 0 km (0°)
SUNSPOT MINIMUM
* SUBSOLAR POINT
Q POINT OF MINIMUM FIELD INTENSITY
Field Intensity At Antipodes
270*
CENTRAL RA0I0 PROPAGATION LABORATORY NATIONAL BUREAU OF STANDARDS
WASHINGTON, DC
FIG. 4 (REVISED) FIELD INTENSITY, MV/m, I KW, 10 Me
SUBSOLAR DISTANCE, 0 km (0°)
SUNSPOT MINIMUM
* SUBSOLAR POINT
0 POINT OF MINIMUM FIELD INTENSITY
Field Intensity At Antipodes
270
CENTRAL RADIO PROPAGATION LABORATORY NATIONAL BUREAU OF STANDARDS
WASHINGTON, D C.
Field Intensity At Antipodes
* SUBSOLAR POINT
0 POINT OF MINIMUM FIELD INTENSITY
Fifl. 9 (REVISED)
HELD INTENSITY, |JV/m, I KW, 7 Me
SUBSOLAR DISTANCE, Okm (0°)
SUNSPOT MAXIMUM
/\
central radio propagation laboratory NATIONAL BUREAU OF STANDARDS
WASHINGTON, OC
Fig. 10 (REVISED)
FIELD INTENSITY, pV/m, I KW, 10 Me
SUBSOLAR DISTANCE, 0 km (0°)
SUNSPOT MAXIMUM
* SUBSOLAR POINT
© POINT OF MINIMUM FIELD INTENSITY
Field Intensity At Antipodes
'iq°
CENTRAL RADIO PROPAGATION LABORATORY NATIONAL BUREAU OF STANDARDS
WASHINGTON, O.C
Fig. !5 (REVISED)
FIELD INTENSITY, |JV/m, I KW, 7 Me
SUBSOLAR DISTANCE, 2500 km (22® 30') SUNSPOT MINIMUM
* SUBSOLAR POINT
0 POINT OF MINIMUM FIELD INTENSITY
Field Intensity At Antipodes
I
central radio propagation laboratory NATIONAL BUREAU OF STANDARDS
WASHINGTON, DC.
Fig. 16 (REVISED)
FIELD INTENSITY, pv/m, I KW, 10 Me
SUBSOLAR DISTANCE, 2500 km (22°30')
SUNSPOT MINIMUM
* SUBSOLAR POINT
0 POINT OF MINIMUM FIELD INTENSITY
Field Intensity At Antipodes
1/Q
°
270
CENTRAL RAOIO PROPAGATION LABORATORY NATIONAL BUREAU OF STANDARDS
WASHINGTON. DC
Fig. 2! (REVISED)
FIELD INTENSITY, JJV/m, I KW, 7 Me
SUBSOLAR DISTANCE, 2500 km (22°30')
SUNSPOT MAXIMUM
* SUBSOLAR POINT
0 POINT OF MINIMUM FIELD INTENSITY
Field Intensity At Antipodes
central radio propagation laboratory NATIONAL BUREAU OF STANDARDS
WASHINGTON, DC.
Fig. 22 (REVISED)
FIELD INTENSITY, pv/m, I KW, 10 Me
SUBSOLAR DISTANCE, 2500 km (22°30')
SUNSPOT MAXIMUM
* SUBSOLAR POINT
0 POINT OF MINIMUM FIELD INTENSITY
Field Intensity At Antipodes
central radio propagation laboratory NATIONAL BUREAU OF STANDARDS
WASHINGTON, 0 C.
Fig. 22 (REVISED)
FIELD INTENSITY, pv/m, I KW, 10 Me
SUBSOLAR DISTANCE, 2500 km (22°30*)
SUNSPOT MAXIMUM
*
0
SUBSOLAR
POINT OF
POINT
MINIMUM FIELD INTENSITY
Field Intensity At Antipodes
i/o
°
'I