D-61501, TTA Description V 1.1, 2009 July 15 | 299792458 | 1000000 | |||||
Copyright 2013 California Institute of Technology. Government sponsorship acknowledged. | |||||||
1000 | |||||||
USO | |||||||
side | -A | -B | |||||
USO xtal | 4.832000 | 4.832099 | MHz | -B = -A + 99 Hz | |||
x2x4 | 8 | 8 | 2^3 | ||||
USO out GPA | 38.656000 | 38.656792 | MHz | ||||
x2x2x3 | 12 | 12 | 2^2*3 | ||||
USO out Ka | 57.984000 | 57.985188 | MHz | ||||
Ka-Band | |||||||
Ka mult. | 564 | 564 | 2^2*141 | ||||
Ka Out | 32702.976000 | 32703.646032 | MHz | ||||
IF = diff | 0.670032 | -0.670032 | MHz | 219.56842 | 258.9402721 | ||
carrier wavelength | 9.167131 | 9.166943 | mm. | 1.458994178155820 | 1.458964286296480 | ||
IF wavelength | 447.430060 | -447.430060 | m. | ||||
samples / integration | 386560 | 386560 | |||||
time per integration | 20.000000000 | 19.999590240 | msec | ||||
dead time | 1.000000000 | 0.999979512 | msec | ||||
non-dead time | 19.000000000 | 18.999610728 | msec | ||||
integrations / sec | 50.000000 | 50.001024 | ############## | ||||
20 msec. lap time | 976.161616 | sec | bits to represent | ||||
day-hr-min-sec | 0 | 0 | 16 | 16.16161617 | 976.1616162 | 10 | |
1 sec lap time | 48808.080808 | ||||||
day-hr-min-sec | 0 | 13 | 33 | 28.08080838 | 48808.08081 | 16 | |
both on int second | 241600000 | ||||||
day-hr-min-sec | 2796 | 7 | 6 | 40.0014627 | 241600000 | 28 | |
years | 7.655842016 | ||||||
X-Band | |||||||
synthesizer ratios | |||||||
add | 109 | 109 | |||||
mul | 83385 | 83476 | |||||
div | 262144 | 262144 | 2^18 | ||||
RSB Tx | 8451.600061 | 8451.800059 | ############## | ############## | |||
carrier wavelength | 0.035472 | 0.035471 | m. | 0.005645493309025 | 0.005645359717480 | ||
S-Band | |||||||
synthesizer ratios | |||||||
add | 52.5 | 57 | 27564453 | 29932738 | |||
mul | 39333 | 48322 | |||||
div | 524288 | 524288 | 2^19 | ||||
Transmit | 2032.340041 | 2207.000021 | MHz | ############## | ############## | ||
Receive | 2207.000021 | 2032.340041 | MHz | ||||
carrier wavelength | 0.135837 | 0.147511 | m. | 0.021619144152560 | 0.023477100603691 | ||
Sample | 19.328000 | 19.328396 | MHz | because we throw away half the 38 MHz samples | |||
sample time | 0.051738 | 0.051737 | microseconds | ||||
subharmonic | 114 | 105 | |||||
virtual LO | 2203.392000 | 2029.481580 | MHz | ||||
Carrier Offset | 3.608021 | 2.858461 | MHz | 3.6080207071227100 | 2.8584605273440500 | ||
PN Code div | 20 | 19 | bits/chip | bits means samples | |||
PN Code Rate | 966400 | 1017284 | chips/sec. | ||||
PN chip length | 0.000001035 | 0.000000983 | seconds | ||||
PN chip length | 0.310216 | 0.294699 | km | ||||
chip rate reg. up | 13421773 | 14128182 | divisor of 0x10000000 used by ASIC | ||||
chip rate reg. down | 13421772 | 14128181 | See "GRAIL S-Band Transmitter" section of | ||||
hex of up | CCCCCD | D79436 | hex | GRAIL_TTA_rogstadDoc.doc | |||
hex of down | CCCCCC | D79435 | hex | for a different presentation of this. | |||
used up | 8 | 17 | |||||
used down | 2 | 2 | |||||
used total | 10 | 19 | |||||
check | 10000000 | 10000000 | hex | 268435456 | |||
code cycle | 1023 | 1023 | 53 usec. | ||||
cycle rate | 944.672532 | 994.412512 | cycles / sec. | 0.001058567881 | 0.001005618883 | 52.94899757 | |
cycle length | 0.001058568 | 0.001005619 | sec. | ||||
cycle length | 317.351 | 301.477 | km | ||||
databit length | 20 | 20 | cycles/databit | ||||
databit length | 20460 | 20460 | chips | ||||
databit length | 409200 | 388740 | bits | ||||
databit length | 0.021171358 | 0.020112378 | seconds | ||||
databit rate | 47.233626588 | 49.720625611 | Hz | ||||
databit length | 6347.013 | 6029.539 | km | ||||
databit beat freq. | 2.487 | Hz | |||||
code cycle | B | diff, if both | sum, if both | ||||
cycle rate | 944 | 994 | cycles / second | 0.001059322 | 0.001006036 | 5.32858E-05 | 0.00206536 |
code mismatch | 688 | 422 | remainder | 317576.7564 | 301602.0704 | 15974.68593 | 619178.827 |
ambiguity, meters | |||||||
cycle ambiguity | 966400 | 1017284 | cycles / 1023 sec. | bits to represent | |||
day-hr-min-sec | 0 | 0 | 17 | 3 | 1023 | 10 | |
databits | 48320 | 50864.2 | |||||
databit ambiguity | 5115 | 5115 | seconds | ||||
day-hr-min-sec | 0 | 1 | 25 | 15 | 5115 | 13 | |
databits | 241600 | 254321 | databits / 5115 sec. | ||||
fortnight | 1309440 | 1309440 | 256 databit ambiguities is a fortnight | ||||
day-hr-min-sec | 15 | 3 | 44 | 0 | 1309440 | 21 | |
databits / message | 256 | 256 | |||||
databits/fortnight | 61849600 | 65106176 | databits | ||||
messages/fortnight | 241600 | 254321 | messages | (Excel rounding problem) | 18 | ||
3AFC0 | 3E171 | hex | |||||
bits left in a long | 14 | ||||||
repeat count | 16384 | fortnights in GRAIL ambiguity | |||||
GRAIL ambiguity | 21453864960 | seconds | |||||
day-hr-min-sec | 248308 | 14 | 56 | 0 | 21453864960 | 35 | |
679.8133445 | Julian years | ||||||
ambiguities in 2^32 | 4.995117188 | interesting… | |||||
message length | 5.419868 | 5.148769 | seconds | ||||
message beat freq. | 0.009715 | Hz | |||||
lap period | 102.935 | seconds | 12721 | ||||
laps per fortnight | 12721 | 12721 is prime, there is no shorter message synch on an integer second | |||||
Brook's eqn. for 1 micron in Ka | 3.25616E-10 | seconds | 2618880 | Two fortnnights | |||
9.167131 | |||||||
0.000109085 | |||||||
1.49247E-06 | |||||||
76.3597702 | |||||||
0.013095901 | |||||||
Ticket 32 overflow values, 2/2/11 | |||||||
end with databit | chips | count overflow | cumulative | chips hex | cumulative hex | amount ahead | |
-A | |||||||
0 | 0 | 0 | |||||
1 | 20460 | 81840 | 81840 | 4FEC | 13FB0 | 1.57739E-11 | |
2 | 40920 | 81840 | 163680 | 9FD8 | 27F60 | 3.15478E-11 | |
3 | 61380 | 81840 | 245520 | EFC4 | 3BF10 | 4.73217E-11 | |
4 | 81840 | 81840 | 327360 | 13FB0 | 4FEC0 | 6.30956E-11 | |
5 | 102300 | -327360 | 0 | 18F9C | 0 | 0 | |
-B | |||||||
0 | 0 | 0 | |||||
1 | 20460 | 40920 | 40920 | 4FEC | 9FD8 | 7.88678E-12 | |
2 | 40920 | 40920 | 81840 | 9FD8 | 13FB0 | 1.57736E-11 | |
3 | 61380 | 40920 | 122760 | EFC4 | 1DF88 | 2.36604E-11 | |
4 | 81840 | 40920 | 163680 | 13FB0 | 27F60 | 3.15471E-11 | |
5 | 102300 | 40920 | 204600 | 18F9C | 31F38 | 3.94339E-11 | |
6 | 122760 | 40920 | 245520 | 1DF88 | 3BF10 | 4.73207E-11 | |
7 | 143220 | 40920 | 286440 | 22F74 | 45EE8 | 5.52075E-11 | |
8 | 163680 | 40920 | 327360 | 27F60 | 4FEC0 | 6.30943E-11 | |
9 | 184140 | 40920 | 368280 | 2CF4C | 59E98 | 7.09811E-11 | |
10 | 204600 | -347820 | 20460 | 31F38 | 4FEC | 3.94339E-12 | |
11 | 225060 | 40920 | 61380 | 36F24 | EFC4 | 1.18302E-11 | |
12 | 245520 | 40920 | 102300 | 3BF10 | 18F9C | 1.9717E-11 | |
13 | 265980 | 40920 | 143220 | 40EFC | 22F74 | 2.76037E-11 | |
14 | 286440 | 40920 | 184140 | 45EE8 | 2CF4C | 3.54905E-11 | |
15 | 306900 | 40920 | 225060 | 4AED4 | 36F24 | 4.33773E-11 | |
16 | 327360 | 40920 | 265980 | 4FEC0 | 40EFC | 5.12641E-11 | |
17 | 347820 | 40920 | 306900 | 54EAC | 4AED4 | 5.91509E-11 | |
18 | 368280 | 40920 | 347820 | 59E98 | 54EAC | 6.70377E-11 | |
19 | 388740 | -347820 | 0 | 5EE84 | 0 | 0 |