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2025-11-14 12:06:02 +01:00
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# Activity 2
Define mathematically the mean square error of a position estimate. Explain and justify your answer.
The MSE is defined almost the same as variance, given by
$$
\frac{\sum{(x-\overline{x})^2}}{n}
$$
# Activity 3
Prove that the following holds for Gamma distribution:
$$
\alpha = \frac{\overline{x}^2}{s^2}
$$
$$
\beta = \frac{s^2}{\overline{x}}
$$
Which results by substition from the following:
$$ \overline{x} = \alpha \beta, \quad s^2 = \alpha \beta^2 $$
$$
\alpha \left(\frac{\overline{x}}{\alpha}\right)^2 = s ^2
$$
yielding the first definition for $\alpha$.
Substituting into the expression for $\beta$ results in
$$
\beta = \frac{\overline{x}}{\alpha} = \frac{\overline{x}}{\frac{\overline{x}^2}{s^2}} = \frac{s^2}{\overline{x}}
$$

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% GPST latitude(deg) longitude(deg) height(m) Q ns sdn(m) sde(m) sdu(m) sdne(m) sdeu(m) sdun(m) age(s) ratio
2025/10/22 17:12:58.000 45.491424389 15.545715846 155.4729 5 7 101.4246 71.9559 224.3702 -20.9012 64.4636 -76.8806 0.00 0.0
2025/10/22 17:12:59.000 45.491418962 15.545715194 156.8781 5 7 101.4214 71.9587 224.3916 -20.9186 64.4729 -76.8735 0.00 0.0
2025/10/22 17:13:00.000 45.491418249 15.545731425 158.3180 5 7 101.4181 71.9614 224.4131 -20.9361 64.4820 -76.8663 0.00 0.0
2025/10/22 17:13:01.000 45.491419011 15.545753930 160.5983 5 7 101.4149 71.9642 224.4345 -20.9535 64.4911 -76.8592 0.00 0.0
2025/10/22 17:13:02.000 45.491413068 15.545757420 158.0012 5 7 101.4116 71.9670 224.4560 -20.9709 64.5003 -76.8520 0.00 0.0
2025/10/22 17:13:03.000 45.491406722 15.545765511 157.9501 5 7 101.4084 71.9697 224.4774 -20.9883 64.5094 -76.8448 0.00 0.0
2025/10/22 17:13:04.000 45.491415213 15.545789704 156.3249 5 7 101.4052 71.9725 224.4989 -21.0057 64.5185 -76.8377 0.00 0.0
2025/10/22 17:13:05.000 45.491405022 15.545805757 156.7428 5 7 101.4019 71.9753 224.5202 -21.0230 64.5276 -76.8305 0.00 0.0
2025/10/22 17:13:06.000 45.491408887 15.545805699 155.1488 5 7 101.3987 71.9780 224.5416 -21.0404 64.5368 -76.8233 0.00 0.0
2025/10/22 17:13:06.500 45.491407333 15.545811070 154.9223 5 7 101.3971 71.9794 224.5523 -21.0491 64.5413 -76.8197 0.00 0.0
2025/10/22 17:13:07.000 45.491403927 15.545819234 155.3323 5 7 101.3954 71.9808 224.5630 -21.0577 64.5459 -76.8161 0.00 0.0
2025/10/22 17:13:07.500 45.491401734 15.545829337 154.6537 5 7 101.3938 71.9822 224.5737 -21.0664 64.5504 -76.8125 0.00 0.0
2025/10/22 17:13:09.000 45.491413161 15.545862788 156.8587 5 7 101.3890 71.9863 224.6056 -21.0923 64.5640 -76.8018 0.00 0.0
2025/10/22 17:13:10.000 45.491404405 15.545879206 156.5667 5 7 101.3857 71.9891 224.6270 -21.1096 64.5730 -76.7946 0.00 0.0
2025/10/22 17:13:11.000 45.491398943 15.545892622 154.8217 5 7 101.3825 71.9918 224.6483 -21.1269 64.5821 -76.7873 0.00 0.0
2025/10/22 17:13:12.000 45.491400657 15.545909987 153.4831 5 7 101.3792 71.9946 224.6696 -21.1441 64.5912 -76.7801 0.00 0.0
2025/10/22 17:13:13.000 45.491396121 15.545921293 154.7044 5 7 101.3760 71.9974 224.6908 -21.1614 64.6002 -76.7729 0.00 0.0
2025/10/22 17:13:14.000 45.491392198 15.545937405 156.3440 5 7 101.3727 72.0001 224.7121 -21.1786 64.6093 -76.7657 0.00 0.0
2025/10/22 17:13:15.000 45.491403634 15.545956811 154.5074 5 7 101.3695 72.0029 224.7333 -21.1958 64.6183 -76.7585 0.00 0.0
2025/10/22 17:13:16.000 45.491407954 15.545963288 153.7040 5 7 101.3663 72.0057 224.7545 -21.2131 64.6274 -76.7513 0.00 0.0
2025/10/22 17:13:17.000 45.491406482 15.545973104 151.9869 5 7 101.3631 72.0084 224.7757 -21.2303 64.6365 -76.7441 0.00 0.0
2025/10/22 17:13:18.000 45.491405198 15.545994111 153.9395 5 7 101.3598 72.0112 224.7969 -21.2474 64.6454 -76.7369 0.00 0.0
2025/10/22 17:13:19.000 45.491414019 15.546006571 152.9451 5 7 101.3566 72.0140 224.8180 -21.2646 64.6545 -76.7297 0.00 0.0
2025/10/22 17:13:20.000 45.491408425 15.546023540 154.4460 5 7 101.3534 72.0167 224.8392 -21.2818 64.6635 -76.7224 0.00 0.0
2025/10/22 17:13:21.000 45.491409286 15.546049030 154.7539 5 7 101.3501 72.0195 224.8603 -21.2989 64.6724 -76.7151 0.00 0.0
2025/10/22 17:13:22.000 45.491405141 15.546062185 153.7410 5 7 101.3469 72.0223 224.8814 -21.3160 64.6814 -76.7079 0.00 0.0
2025/10/22 17:13:23.000 45.491405623 15.546077600 155.8046 5 7 101.3437 72.0250 224.9025 -21.3331 64.6904 -76.7006 0.00 0.0
2025/10/22 17:13:24.000 45.491417651 15.546090117 152.6527 5 7 101.3405 72.0278 224.9236 -21.3502 64.6994 -76.6934 0.00 0.0
2025/10/22 17:13:25.000 45.491421448 15.546113394 155.0675 5 7 101.3372 72.0306 224.9446 -21.3673 64.7084 -76.6862 0.00 0.0
2025/10/22 17:13:26.000 45.491422322 15.546131707 155.8099 5 7 101.3340 72.0333 224.9656 -21.3844 64.7173 -76.6789 0.00 0.0
2025/10/22 17:13:27.000 45.491417807 15.546131358 152.8070 5 7 101.3308 72.0361 224.9867 -21.4015 64.7264 -76.6716 0.00 0.0
2025/10/22 17:13:28.000 45.491415894 15.546141878 151.7270 5 7 101.3275 72.0389 225.0077 -21.4186 64.7354 -76.6643 0.00 0.0
2025/10/22 17:13:29.000 45.491415272 15.546154353 151.4006 5 7 101.3243 72.0417 225.0287 -21.4356 64.7443 -76.6570 0.00 0.0
2025/10/22 17:13:30.000 45.491415005 15.546169918 151.5615 5 7 101.3211 72.0444 225.0497 -21.4526 64.7533 -76.6497 0.00 0.0
2025/10/22 17:13:31.000 45.491421329 15.546174463 149.5404 5 7 101.3178 72.0472 225.0707 -21.4697 64.7623 -76.6425 0.00 0.0
2025/10/22 17:13:32.000 45.491414566 15.546186944 150.9693 5 7 101.3146 72.0500 225.0916 -21.4867 64.7712 -76.6351 0.00 0.0
2025/10/22 17:13:33.000 45.491402412 15.546202537 153.8057 5 7 101.3114 72.0528 225.1125 -21.5036 64.7801 -76.6277 0.00 0.0
2025/10/22 17:13:34.000 45.491405890 15.546229519 154.5218 5 7 101.3081 72.0555 225.1334 -21.5206 64.7890 -76.6204 0.00 0.0
2025/10/22 17:13:35.000 45.491401983 15.546241532 154.9732 5 7 101.3049 72.0583 225.1542 -21.5375 64.7979 -76.6131 0.00 0.0
2025/10/22 17:13:36.000 45.491390305 15.546249746 153.9475 5 7 101.3017 72.0611 225.1751 -21.5544 64.8069 -76.6057 0.00 0.0
2025/10/22 17:13:37.000 45.491385628 15.546269851 155.5656 5 7 101.2984 72.0639 225.1960 -21.5713 64.8157 -76.5983 0.00 0.0
2025/10/22 17:13:38.000 45.491394524 15.546281623 153.7242 5 7 101.2952 72.0666 225.2168 -21.5883 64.8247 -76.5911 0.00 0.0
2025/10/22 17:13:39.000 45.491399125 15.546306952 155.1313 5 7 101.2920 72.0694 225.2376 -21.6052 64.8335 -76.5837 0.00 0.0
2025/10/22 17:13:40.000 45.491396294 15.546322540 155.2376 5 7 101.2888 72.0722 225.2584 -21.6221 64.8424 -76.5764 0.00 0.0
2025/10/22 17:13:41.000 45.491390385 15.546328255 153.9315 5 7 101.2855 72.0750 225.2792 -21.6390 64.8513 -76.5690 0.00 0.0
2025/10/22 17:13:42.000 45.491393150 15.546345801 155.2496 5 7 101.2823 72.0777 225.3000 -21.6558 64.8601 -76.5617 0.00 0.0
2025/10/22 17:13:43.000 45.491396329 15.546354948 154.1120 5 7 101.2791 72.0805 225.3207 -21.6727 64.8690 -76.5543 0.00 0.0
2025/10/22 17:13:44.000 45.491396436 15.546362449 155.2805 5 7 101.2759 72.0833 225.3414 -21.6896 64.8779 -76.5469 0.00 0.0
2025/10/22 17:13:45.000 45.491402033 15.546387127 154.3052 5 7 101.2727 72.0861 225.3621 -21.7064 64.8867 -76.5396 0.00 0.0
2025/10/22 17:13:46.000 45.491398983 15.546406661 154.6200 5 7 101.2694 72.0889 225.3828 -21.7232 64.8956 -76.5322 0.00 0.0
2025/10/22 17:13:47.000 45.491405329 15.546426357 154.1888 5 7 101.2662 72.0916 225.4035 -21.7400 64.9044 -76.5249 0.00 0.0
2025/10/22 17:13:48.000 45.491402866 15.546442125 154.4162 5 7 101.2630 72.0944 225.4242 -21.7568 64.9132 -76.5175 0.00 0.0
2025/10/22 17:13:49.000 45.491401471 15.546456542 155.6677 5 7 101.2598 72.0972 225.4448 -21.7735 64.9220 -76.5101 0.00 0.0
2025/10/22 17:13:50.000 45.491407624 15.546476490 156.4348 5 7 101.2566 72.1000 225.4654 -21.7903 64.9308 -76.5027 0.00 0.0
2025/10/22 17:13:51.000 45.491411052 15.546488789 157.0122 5 7 101.2534 72.1028 225.4860 -21.8070 64.9396 -76.4953 0.00 0.0
2025/10/22 17:13:52.000 45.491418108 15.546501828 154.1820 5 7 101.2501 72.1055 225.5066 -21.8238 64.9485 -76.4880 0.00 0.0
2025/10/22 17:13:53.000 45.491421196 15.546517870 153.8474 5 7 101.2469 72.1083 225.5272 -21.8405 64.9572 -76.4806 0.00 0.0
2025/10/22 17:13:54.000 45.491425548 15.546516290 152.5331 5 7 101.2437 72.1111 225.5478 -21.8573 64.9661 -76.4732 0.00 0.0
2025/10/22 17:13:55.000 45.491416080 15.546542719 152.5441 5 7 101.2405 72.1139 225.5683 -21.8740 64.9749 -76.4657 0.00 0.0
2025/10/22 17:13:56.000 45.491408574 15.546560764 152.4463 5 7 101.2373 72.1167 225.5888 -21.8906 64.9836 -76.4582 0.00 0.0
2025/10/22 17:13:57.000 45.491402184 15.546572206 153.7939 5 7 101.2340 72.1195 225.6093 -21.9073 64.9924 -76.4508 0.00 0.0
2025/10/22 17:13:58.000 45.491398908 15.546593862 154.9154 5 7 101.2308 72.1222 225.6298 -21.9239 65.0011 -76.4433 0.00 0.0
2025/10/22 17:13:59.000 45.491396315 15.546607734 153.4911 5 7 101.2276 72.1250 225.6503 -21.9406 65.0099 -76.4359 0.00 0.0
2025/10/22 17:14:00.000 45.491395842 15.546620647 154.7716 5 7 101.2244 72.1278 225.6707 -21.9572 65.0186 -76.4284 0.00 0.0
2025/10/22 17:14:01.000 45.491413761 15.546636558 156.1433 5 7 101.2212 72.1306 225.6911 -21.9739 65.0274 -76.4210 0.00 0.0
2025/10/22 17:14:02.000 45.491413205 15.546656718 157.9141 5 7 101.2180 72.1334 225.7115 -21.9905 65.0361 -76.4136 0.00 0.0
2025/10/22 17:14:03.000 45.491408620 15.546666399 157.8521 5 7 101.2148 72.1362 225.7319 -22.0071 65.0448 -76.4061 0.00 0.0
2025/10/22 17:14:04.000 45.491391082 15.546675508 159.8825 5 7 101.2115 72.1390 225.7522 -22.0237 65.0536 -76.3985 0.00 0.0
2025/10/22 17:14:05.000 45.491397001 15.546688239 160.7033 5 7 101.2083 72.1417 225.7726 -22.0403 65.0623 -76.3911 0.00 0.0
2025/10/22 17:14:06.000 45.491398774 15.546716499 159.2158 5 7 101.2051 72.1445 225.7929 -22.0568 65.0710 -76.3836 0.00 0.0
2025/10/22 17:14:07.000 45.491414356 15.546735514 159.2559 5 7 101.2019 72.1473 225.8132 -22.0734 65.0796 -76.3762 0.00 0.0
2025/10/22 17:14:08.000 45.491411748 15.546755933 158.2327 5 7 101.1987 72.1501 225.8336 -22.0899 65.0883 -76.3687 0.00 0.0
2025/10/22 17:14:09.000 45.491408270 15.546777047 160.7161 5 7 101.1955 72.1529 225.8538 -22.1064 65.0970 -76.3612 0.00 0.0
2025/10/22 17:14:10.000 45.491403887 15.546789534 162.3558 5 7 101.1923 72.1557 225.8741 -22.1229 65.1057 -76.3537 0.00 0.0
2025/10/22 17:14:11.000 45.491400472 15.546796030 161.4540 5 7 101.1891 72.1585 225.8943 -22.1394 65.1144 -76.3461 0.00 0.0
2025/10/22 17:14:12.000 45.491393526 15.546818576 160.6151 5 7 101.1858 72.1612 225.9146 -22.1559 65.1230 -76.3386 0.00 0.0
2025/10/22 17:14:13.000 45.491394367 15.546841435 162.3410 5 7 101.1826 72.1640 225.9348 -22.1723 65.1316 -76.3311 0.00 0.0
2025/10/22 17:14:14.000 45.491390397 15.546853596 161.9899 5 7 101.1794 72.1668 225.9550 -22.1888 65.1403 -76.3235 0.00 0.0
2025/10/22 17:14:15.000 45.491390193 15.546865919 158.6401 5 7 101.1762 72.1696 225.9752 -22.2053 65.1490 -76.3160 0.00 0.0
2025/10/22 17:14:16.000 45.491386319 15.546875360 158.6790 5 7 101.1730 72.1724 225.9953 -22.2217 65.1576 -76.3085 0.00 0.0
2025/10/22 17:14:17.000 45.491374230 15.546887504 156.3546 5 7 101.1698 72.1752 226.0155 -22.2382 65.1663 -76.3009 0.00 0.0
2025/10/22 17:14:18.000 45.491377783 15.546905678 155.7805 5 7 101.1666 72.1780 226.0356 -22.2546 65.1749 -76.2934 0.00 0.0
2025/10/22 17:14:19.000 45.491387950 15.546905589 152.8026 5 7 101.1634 72.1808 226.0558 -22.2711 65.1836 -76.2859 0.00 0.0
2025/10/22 17:14:20.000 45.491379290 15.546916719 154.2427 5 7 101.1602 72.1836 226.0758 -22.2875 65.1923 -76.2783 0.00 0.0
2025/10/22 17:14:21.000 45.491380391 15.546931548 154.7536 5 7 101.1570 72.1864 226.0959 -22.3039 65.2009 -76.2707 0.00 0.0
2025/10/22 17:14:22.000 45.491386112 15.546951231 156.3952 5 7 101.1538 72.1892 226.1159 -22.3202 65.2094 -76.2632 0.00 0.0
2025/10/22 17:14:23.000 45.491383228 15.546960409 153.8000 5 7 101.1506 72.1920 226.1360 -22.3366 65.2181 -76.2556 0.00 0.0
2025/10/22 17:14:24.000 45.491390765 15.546977291 154.0865 5 7 101.1474 72.1948 226.1560 -22.3530 65.2266 -76.2481 0.00 0.0
2025/10/22 17:14:25.000 45.491391103 15.546999804 153.2941 5 7 101.1442 72.1976 226.1760 -22.3693 65.2352 -76.2405 0.00 0.0
2025/10/22 17:14:26.000 45.491411386 15.547022290 155.4816 5 7 101.1410 72.2004 226.1959 -22.3856 65.2437 -76.2331 0.00 0.0
2025/10/22 17:14:27.000 45.491409015 15.547034183 155.5389 5 7 101.1378 72.2032 226.2159 -22.4020 65.2523 -76.2255 0.00 0.0
2025/10/22 17:14:28.000 45.491397442 15.547056170 155.6767 5 7 101.1346 72.2060 226.2358 -22.4182 65.2608 -76.2178 0.00 0.0
2025/10/22 17:14:29.000 45.491386856 15.547058237 154.2661 5 7 101.1314 72.2088 226.2558 -22.4345 65.2694 -76.2101 0.00 0.0
2025/10/22 17:14:30.000 45.491384981 15.547060847 153.9275 5 7 101.1282 72.2116 226.2757 -22.4508 65.2781 -76.2025 0.00 0.0
2025/10/22 17:14:31.000 45.491399274 15.547072546 151.7440 5 7 101.1250 72.2144 226.2956 -22.4672 65.2866 -76.1950 0.00 0.0
2025/10/22 17:14:32.000 45.491394595 15.547081980 151.8558 5 7 101.1218 72.2172 226.3154 -22.4834 65.2952 -76.1874 0.00 0.0
2025/10/22 17:14:33.000 45.491401058 15.547093783 153.9826 5 7 101.1186 72.2200 226.3352 -22.4997 65.3037 -76.1798 0.00 0.0
2025/10/22 17:14:34.000 45.491403290 15.547106719 152.6111 5 7 101.1154 72.2228 226.3551 -22.5159 65.3123 -76.1722 0.00 0.0
2025/10/22 17:14:35.000 45.491405191 15.547125214 154.8141 5 7 101.1122 72.2256 226.3748 -22.5322 65.3207 -76.1646 0.00 0.0
2025/10/22 17:14:36.000 45.491423485 15.547145697 153.9932 5 7 101.1091 72.2284 226.3946 -22.5484 65.3292 -76.1570 0.00 0.0
2025/10/22 17:14:37.000 45.491427528 15.547156091 158.1241 5 7 101.1059 72.2312 226.4143 -22.5646 65.3377 -76.1494 0.00 0.0
2025/10/22 17:14:38.000 45.491428466 15.547170897 156.6960 5 7 101.1027 72.2340 226.4341 -22.5808 65.3462 -76.1418 0.00 0.0
2025/10/22 17:14:39.000 45.491428446 15.547192809 156.4568 5 7 101.0995 72.2368 226.4539 -22.5970 65.3547 -76.1341 0.00 0.0
2025/10/22 17:14:40.000 45.491420784 15.547211799 157.1563 5 7 101.0963 72.2396 226.4736 -22.6131 65.3631 -76.1264 0.00 0.0
2025/10/22 17:14:41.000 45.491425164 15.547233843 156.3603 5 7 101.0931 72.2424 226.4933 -22.6292 65.3716 -76.1188 0.00 0.0
2025/10/22 17:14:42.000 45.491434777 15.547248414 158.8339 5 7 101.0899 72.2452 226.5129 -22.6454 65.3800 -76.1112 0.00 0.0
2025/10/22 17:14:43.000 45.491430149 15.547260829 157.3527 5 7 101.0867 72.2480 226.5326 -22.6615 65.3885 -76.1035 0.00 0.0
2025/10/22 17:14:44.000 45.491426617 15.547271632 157.1639 5 7 101.0835 72.2508 226.5522 -22.6777 65.3970 -76.0958 0.00 0.0
2025/10/22 17:14:45.000 45.491415005 15.547262906 158.9357 5 7 101.0803 72.2536 226.5718 -22.6938 65.4055 -76.0880 0.00 0.0
2025/10/22 17:14:46.000 45.491435364 15.547268726 157.1893 5 7 101.0772 72.2564 226.5914 -22.7100 65.4140 -76.0805 0.00 0.0
2025/10/22 17:14:47.000 45.491434729 15.547273732 154.8683 5 7 101.0740 72.2593 226.6110 -22.7261 65.4225 -76.0728 0.00 0.0
2025/10/22 17:14:48.000 45.491444116 15.547276135 154.9562 5 7 101.0708 72.2621 226.6306 -22.7423 65.4310 -76.0651 0.00 0.0
2025/10/22 17:14:49.000 45.491445143 15.547283038 155.0099 5 7 101.0676 72.2649 226.6501 -22.7583 65.4395 -76.0574 0.00 0.0
2025/10/22 17:14:50.000 45.491434615 15.547300624 155.2250 5 7 101.0644 72.2677 226.6696 -22.7744 65.4478 -76.0497 0.00 0.0
2025/10/22 17:14:51.000 45.491443181 15.547315110 156.8417 5 7 101.0612 72.2705 226.6891 -22.7904 65.4562 -76.0420 0.00 0.0
2025/10/22 17:14:52.000 45.491444914 15.547343724 158.6019 5 7 101.0580 72.2733 226.7086 -22.8064 65.4645 -76.0343 0.00 0.0
2025/10/22 17:14:53.000 45.491443875 15.547349892 159.9475 5 7 101.0549 72.2761 226.7280 -22.8225 65.4730 -76.0266 0.00 0.0
2025/10/22 17:14:54.000 45.491440148 15.547357423 159.1491 5 7 101.0517 72.2789 226.7475 -22.8385 65.4814 -76.0188 0.00 0.0
2025/10/22 17:14:55.000 45.491439574 15.547373225 158.8111 5 7 101.0485 72.2817 226.7669 -22.8545 65.4898 -76.0111 0.00 0.0
2025/10/22 17:14:56.000 45.491445768 15.547375683 162.6562 5 7 101.0453 72.2845 226.7863 -22.8705 65.4982 -76.0034 0.00 0.0
2025/10/22 17:14:57.000 45.491453464 15.547382173 160.9704 5 7 101.0421 72.2874 226.8057 -22.8865 65.5066 -75.9957 0.00 0.0
2025/10/22 17:14:58.000 45.491463276 15.547377633 159.7557 5 7 101.0390 72.2902 226.8250 -22.9026 65.5151 -75.9880 0.00 0.0
2025/10/22 17:14:59.000 45.491464998 15.547389591 158.3589 5 7 101.0358 72.2930 226.8444 -22.9186 65.5234 -75.9803 0.00 0.0
2025/10/22 17:15:00.000 45.491473810 15.547399833 161.0977 5 7 101.0326 72.2958 226.8637 -22.9345 65.5318 -75.9726 0.00 0.0
2025/10/22 17:15:01.000 45.491477430 15.547393328 154.2291 5 6 136.6816 85.8733 257.5040 61.1477 99.6937 73.7636 0.00 0.0
2025/10/22 17:15:02.000 45.491496154 15.547410860 153.7288 5 6 136.6596 85.8672 257.4964 61.1188 99.6776 73.7150 0.00 0.0
2025/10/22 17:15:03.000 45.491519579 15.547444973 159.7619 5 7 101.0231 72.3042 226.9216 -22.9824 65.5567 -75.9495 0.00 0.0
2025/10/22 17:15:04.000 45.491536115 15.547447808 157.2655 5 7 101.0200 72.3071 226.9408 -22.9984 65.5651 -75.9418 0.00 0.0
2025/10/22 17:15:05.000 45.491543293 15.547455186 155.5013 5 7 101.0168 72.3099 226.9601 -23.0143 65.5735 -75.9341 0.00 0.0
2025/10/22 17:15:06.000 45.491588931 15.547494408 161.6158 5 7 101.0137 72.3127 226.9792 -23.0302 65.5816 -75.9266 0.00 0.0
2025/10/22 17:15:07.000 45.491584775 15.547507103 153.6626 5 7 101.0105 72.3155 226.9985 -23.0461 65.5899 -75.9188 0.00 0.0
2025/10/22 17:15:08.000 45.491587703 15.547533374 156.0415 5 7 101.0074 72.3183 227.0177 -23.0619 65.5981 -75.9110 0.00 0.0
2025/10/22 17:15:09.000 45.491613714 15.547569396 159.8579 5 7 101.0042 72.3211 227.0367 -23.0777 65.6063 -75.9033 0.00 0.0
2025/10/22 17:15:10.000 45.491596307 15.547577556 154.1201 5 7 101.0010 72.3239 227.0560 -23.0936 65.6146 -75.8954 0.00 0.0
2025/10/22 17:15:11.000 45.491608116 15.547586751 157.4215 5 7 100.9979 72.3267 227.0750 -23.1094 65.6229 -75.8877 0.00 0.0
2025/10/22 17:15:12.000 45.491599920 15.547649965 163.5401 5 7 100.9947 72.3295 227.0941 -23.1251 65.6308 -75.8798 0.00 0.0
2025/10/22 17:15:13.000 45.491607604 15.547693119 161.9740 5 7 100.9915 72.3323 227.1132 -23.1408 65.6389 -75.8720 0.00 0.0
2025/10/22 17:15:14.000 45.491621671 15.547715982 159.9008 5 7 100.9883 72.3351 227.1322 -23.1566 65.6471 -75.8643 0.00 0.0
2025/10/22 17:15:15.000 45.491630088 15.547755418 169.4907 5 7 100.9852 72.3379 227.1512 -23.1723 65.6552 -75.8565 0.00 0.0
2025/10/22 17:15:16.000 45.491635755 15.547778676 170.4083 5 7 100.9820 72.3407 227.1702 -23.1881 65.6633 -75.8487 0.00 0.0
2025/10/22 17:15:17.000 45.491651866 15.547807199 174.2710 5 7 100.9788 72.3435 227.1891 -23.2038 65.6715 -75.8409 0.00 0.0
2025/10/22 17:15:18.000 45.491663651 15.547810238 175.9432 5 7 100.9757 72.3463 227.2081 -23.2196 65.6797 -75.8331 0.00 0.0
2025/10/22 17:15:19.000 45.491655904 15.547810601 177.0401 5 7 100.9725 72.3491 227.2270 -23.2354 65.6880 -75.8252 0.00 0.0
2025/10/22 17:15:20.000 45.491664235 15.547814350 177.9316 5 7 100.9693 72.3519 227.2459 -23.2512 65.6963 -75.8174 0.00 0.0
2025/10/22 17:15:21.000 45.491661453 15.547809388 175.1008 5 7 100.9662 72.3548 227.2649 -23.2670 65.7046 -75.8096 0.00 0.0
2025/10/22 17:15:22.000 45.491653822 15.547795289 171.4403 5 7 100.9630 72.3576 227.2838 -23.2828 65.7129 -75.8016 0.00 0.0
2025/10/22 17:15:23.000 45.491658789 15.547790534 170.4073 5 7 100.9598 72.3605 227.3027 -23.2985 65.7212 -75.7938 0.00 0.0
2025/10/22 17:15:24.000 45.491664073 15.547778683 170.2972 5 7 100.9567 72.3633 227.3216 -23.3143 65.7295 -75.7859 0.00 0.0
2025/10/22 17:15:25.000 45.491656415 15.547760189 170.7638 5 7 100.9535 72.3662 227.3404 -23.3301 65.7378 -75.7780 0.00 0.0
2025/10/22 17:15:26.000 45.491647563 15.547772059 172.5595 5 7 100.9503 72.3690 227.3592 -23.3457 65.7460 -75.7701 0.00 0.0
2025/10/22 17:15:27.000 45.491639410 15.547790269 172.9918 5 7 100.9471 72.3718 227.3780 -23.3614 65.7541 -75.7621 0.00 0.0
2025/10/22 17:15:28.000 45.491648707 15.547784846 173.1312 5 7 100.9440 72.3746 227.3968 -23.3771 65.7623 -75.7543 0.00 0.0
2025/10/22 17:15:29.000 45.491655558 15.547778444 173.1361 5 7 100.9408 72.3775 227.4155 -23.3928 65.7706 -75.7464 0.00 0.0
2025/10/22 17:15:30.000 45.491660780 15.547778386 173.1149 5 7 100.9377 72.3803 227.4343 -23.4085 65.7788 -75.7385 0.00 0.0
2025/10/22 17:15:31.000 45.491664548 15.547775674 176.2923 5 7 100.9345 72.3831 227.4529 -23.4242 65.7870 -75.7306 0.00 0.0
2025/10/22 17:15:32.000 45.491677953 15.547777127 176.6295 5 7 100.9314 72.3860 227.4716 -23.4398 65.7951 -75.7228 0.00 0.0
2025/10/22 17:15:33.000 45.491668760 15.547783352 177.4212 5 7 100.9282 72.3888 227.4903 -23.4554 65.8033 -75.7148 0.00 0.0
2025/10/22 17:15:34.000 45.491665091 15.547796177 178.9639 5 7 100.9250 72.3916 227.5090 -23.4710 65.8114 -75.7068 0.00 0.0
2025/10/22 17:15:35.000 45.491672296 15.547809496 177.7554 5 7 100.9219 72.3945 227.5276 -23.4866 65.8195 -75.6990 0.00 0.0
2025/10/22 17:15:36.000 45.491687462 15.547813099 174.2528 5 7 100.9188 72.3973 227.5463 -23.5023 65.8276 -75.6911 0.00 0.0
2025/10/22 17:15:37.000 45.491692344 15.547807517 174.3993 5 7 100.9156 72.4001 227.5649 -23.5179 65.8358 -75.6832 0.00 0.0
2025/10/22 17:15:38.000 45.491697032 15.547816114 175.8215 5 7 100.9124 72.4030 227.5834 -23.5334 65.8439 -75.6753 0.00 0.0
2025/10/22 17:15:39.000 45.491721637 15.547831063 172.7810 5 7 100.9093 72.4058 227.6020 -23.5490 65.8519 -75.6674 0.00 0.0
2025/10/22 17:15:40.000 45.491728422 15.547834561 173.2283 5 7 100.9062 72.4086 227.6205 -23.5646 65.8600 -75.6595 0.00 0.0
2025/10/22 17:15:41.000 45.491752746 15.547829589 169.7893 5 7 100.9031 72.4115 227.6391 -23.5802 65.8682 -75.6517 0.00 0.0
2025/10/22 17:15:42.000 45.491828814 15.547795122 159.1046 5 6 125.9072 78.0902 250.1358 -51.9827 81.9702 -113.0388 0.00 0.0
2025/10/22 17:15:43.000 45.491782199 15.547840810 168.5942 5 7 100.8968 72.4172 227.6760 -23.6114 65.8843 -75.6359 0.00 0.0
2025/10/22 17:15:44.000 45.491795425 15.547840955 168.7671 5 7 100.8936 72.4200 227.6945 -23.6269 65.8924 -75.6280 0.00 0.0
2025/10/22 17:15:45.000 45.491822438 15.547851341 166.4303 5 7 100.8905 72.4228 227.7129 -23.6425 65.9005 -75.6202 0.00 0.0
2025/10/22 17:15:46.000 45.491848435 15.547868260 166.7708 5 7 100.8874 72.4257 227.7313 -23.6580 65.9084 -75.6123 0.00 0.0
2025/10/22 17:15:47.000 45.491875809 15.547865638 163.7267 5 7 100.8843 72.4285 227.7498 -23.6735 65.9165 -75.6045 0.00 0.0
2025/10/22 17:15:48.000 45.491893595 15.547883088 160.5676 5 7 100.8812 72.4313 227.7682 -23.6890 65.9245 -75.5966 0.00 0.0
2025/10/22 17:15:49.000 45.491914380 15.547892409 160.5257 5 7 100.8781 72.4342 227.7865 -23.7045 65.9325 -75.5887 0.00 0.0
2025/10/22 17:15:50.000 45.491927746 15.547900317 160.5351 5 7 100.8749 72.4370 227.8048 -23.7200 65.9405 -75.5808 0.00 0.0
2025/10/22 17:15:51.000 45.491935086 15.547919638 161.5919 5 7 100.8718 72.4398 227.8231 -23.7354 65.9485 -75.5728 0.00 0.0
2025/10/22 17:15:52.000 45.491959967 15.547914656 159.6222 5 7 100.8687 72.4427 227.8415 -23.7509 65.9565 -75.5649 0.00 0.0
2025/10/22 17:15:53.000 45.491975257 15.547939894 159.4441 5 7 100.8655 72.4455 227.8597 -23.7663 65.9644 -75.5570 0.00 0.0
2025/10/22 17:15:54.000 45.491988227 15.547953516 159.7029 5 7 100.8624 72.4483 227.8780 -23.7817 65.9724 -75.5490 0.00 0.0
2025/10/22 17:15:55.000 45.492005102 15.547979846 158.6197 5 7 100.8593 72.4511 227.8962 -23.7971 65.9802 -75.5411 0.00 0.0
2025/10/22 17:15:56.000 45.492016568 15.547990646 159.9813 5 7 101.1052 73.0291 230.6756 -25.1377 63.4740 -73.8436 0.00 0.0
2025/10/22 17:15:57.000 45.492039589 15.548001608 158.7391 5 7 101.1023 73.0316 230.6965 -25.1524 63.4815 -73.8341 0.00 0.0
2025/10/22 17:15:58.000 45.492049414 15.548010468 157.0595 5 7 100.8499 72.4596 227.9508 -23.8433 66.0040 -75.5172 0.00 0.0
2025/10/22 17:15:59.000 45.492070446 15.548025235 157.1360 5 7 100.8468 72.4625 227.9689 -23.8586 66.0119 -75.5093 0.00 0.0
2025/10/22 17:16:00.000 45.492066870 15.548029108 155.4967 5 7 98.1860 72.0197 228.6013 -30.4563 60.4143 -78.7719 0.00 0.0
2025/10/22 17:16:01.000 45.492077311 15.548031283 154.6864 5 7 98.1835 72.0225 228.6232 -30.4675 60.4232 -78.7614 0.00 0.0
2025/10/22 17:16:02.000 45.492087272 15.548052633 154.6228 5 7 98.1809 72.0253 228.6451 -30.4787 60.4320 -78.7510 0.00 0.0
2025/10/22 17:16:03.000 45.492107181 15.548066644 152.6441 5 7 98.1783 72.0281 228.6670 -30.4899 60.4409 -78.7406 0.00 0.0
2025/10/22 17:16:04.000 45.492117136 15.548074511 153.1738 5 7 98.1757 72.0309 228.6888 -30.5011 60.4498 -78.7302 0.00 0.0
2025/10/22 17:16:05.000 45.492125690 15.548093175 152.6622 5 7 98.1731 72.0337 228.7106 -30.5122 60.4586 -78.7197 0.00 0.0
2025/10/22 17:16:06.000 45.492131078 15.548103070 152.8675 5 7 98.1705 72.0365 228.7325 -30.5234 60.4675 -78.7092 0.00 0.0
2025/10/22 17:16:07.000 45.492131461 15.548125892 153.4133 5 7 98.1679 72.0393 228.7543 -30.5345 60.4762 -78.6987 0.00 0.0
2025/10/22 17:16:08.000 45.492148848 15.548139446 156.4129 5 7 98.1653 72.0421 228.7760 -30.5457 60.4850 -78.6882 0.00 0.0
2025/10/22 17:16:09.000 45.492152302 15.548158012 155.2105 5 7 98.1627 72.0450 228.7978 -30.5568 60.4938 -78.6777 0.00 0.0
2025/10/22 17:16:10.000 45.492163962 15.548177050 155.3644 5 7 98.1601 72.0478 228.8195 -30.5680 60.5026 -78.6672 0.00 0.0
2025/10/22 17:16:11.000 45.492169729 15.548204447 160.7083 5 7 100.8092 72.4965 228.1850 -24.0422 66.1061 -75.4127 0.00 0.0
2025/10/22 17:16:12.000 45.492173020 15.548207718 162.2916 5 7 98.1549 72.0534 228.8629 -30.5903 60.5202 -78.6461 0.00 0.0
2025/10/22 17:16:13.000 45.492186518 15.548238353 165.0173 5 7 100.8030 72.5021 228.2207 -24.0726 66.1217 -75.3966 0.00 0.0
2025/10/22 17:16:14.000 45.492204592 15.548247008 165.2881 5 7 100.7999 72.5050 228.2385 -24.0878 66.1295 -75.3886 0.00 0.0
2025/10/22 17:16:15.000 45.492213676 15.548261891 168.7787 5 7 100.7967 72.5078 228.2563 -24.1030 66.1372 -75.3805 0.00 0.0
2025/10/22 17:16:16.000 45.492225897 15.548278670 169.1286 5 7 100.7936 72.5106 228.2741 -24.1182 66.1450 -75.3724 0.00 0.0
2025/10/22 17:16:17.000 45.492239470 15.548293575 168.7410 5 7 100.7905 72.5135 228.2919 -24.1334 66.1527 -75.3643 0.00 0.0
2025/10/22 17:16:18.000 45.492230240 15.548310453 169.5326 5 7 100.7873 72.5163 228.3096 -24.1485 66.1605 -75.3561 0.00 0.0
2025/10/22 17:16:19.000 45.492222867 15.548332227 170.3258 5 7 100.7842 72.5191 228.3274 -24.1636 66.1682 -75.3479 0.00 0.0
2025/10/22 17:16:20.000 45.492237703 15.548349058 172.7305 5 7 100.7811 72.5220 228.3450 -24.1788 66.1759 -75.3398 0.00 0.0
2025/10/22 17:16:21.000 45.492241123 15.548356200 172.0472 5 7 100.7780 72.5248 228.3627 -24.1940 66.1837 -75.3317 0.00 0.0
2025/10/22 17:16:22.000 45.492241887 15.548379474 170.9341 5 7 100.7748 72.5276 228.3804 -24.2091 66.1914 -75.3235 0.00 0.0
2025/10/22 17:16:23.000 45.492257754 15.548385373 169.7685 5 7 100.7717 72.5305 228.3981 -24.2242 66.1991 -75.3154 0.00 0.0
2025/10/22 17:16:24.000 45.492269400 15.548427712 173.3365 5 7 100.7686 72.5333 228.4157 -24.2393 66.2067 -75.3073 0.00 0.0
2025/10/22 17:16:25.000 45.492282258 15.548425541 171.8003 5 7 100.7655 72.5361 228.4333 -24.2544 66.2145 -75.2992 0.00 0.0
2025/10/22 17:16:26.000 45.492294732 15.548425290 169.3466 5 7 100.7624 72.5390 228.4509 -24.2696 66.2222 -75.2911 0.00 0.0
2025/10/22 17:16:27.000 45.492296200 15.548446365 172.6812 5 7 100.7593 72.5418 228.4684 -24.2846 66.2299 -75.2829 0.00 0.0
2025/10/22 17:16:28.000 45.492305000 15.548452000 173.9142 5 7 100.7562 72.5447 228.4859 -24.2997 66.2376 -75.2747 0.00 0.0
2025/10/22 17:16:29.000 45.492311283 15.548459418 173.0068 5 7 100.7530 72.5475 228.5035 -24.3148 66.2453 -75.2665 0.00 0.0
2025/10/22 17:16:30.000 45.492317243 15.548483464 173.3251 5 7 100.7499 72.5504 228.5210 -24.3299 66.2529 -75.2583 0.00 0.0
2025/10/22 17:16:31.000 45.492324443 15.548498657 170.4831 5 7 100.7468 72.5532 228.5385 -24.3449 66.2606 -75.2502 0.00 0.0
2025/10/22 17:16:32.000 45.492331516 15.548507103 172.8201 5 7 100.7437 72.5560 228.5559 -24.3599 66.2682 -75.2420 0.00 0.0
2025/10/22 17:16:33.000 45.492334518 15.548514987 172.5224 5 7 100.7406 72.5589 228.5733 -24.3750 66.2759 -75.2338 0.00 0.0
2025/10/22 17:16:34.000 45.492342166 15.548542083 168.5724 5 7 100.7375 72.5617 228.5908 -24.3900 66.2835 -75.2256 0.00 0.0
2025/10/22 17:16:35.000 45.492355609 15.548557404 166.7302 5 7 100.7344 72.5646 228.6082 -24.4050 66.2911 -75.2174 0.00 0.0
2025/10/22 17:16:36.000 45.492346260 15.548580414 171.0990 5 7 100.7312 72.5674 228.6255 -24.4199 66.2986 -75.2091 0.00 0.0
2025/10/22 17:16:37.000 45.492335454 15.548595131 171.1702 5 7 100.7281 72.5702 228.6429 -24.4349 66.3062 -75.2008 0.00 0.0
2025/10/22 17:16:38.000 45.492351721 15.548613129 169.5878 5 7 100.7250 72.5731 228.6602 -24.4499 66.3138 -75.1927 0.00 0.0
2025/10/22 17:16:39.000 45.492357762 15.548646481 172.0254 5 7 100.7219 72.5759 228.6775 -24.4648 66.3213 -75.1844 0.00 0.0
2025/10/22 17:16:40.000 45.492371429 15.548647207 169.4386 5 7 100.7188 72.5788 228.6948 -24.4799 66.3290 -75.1762 0.00 0.0
2025/10/22 17:16:41.000 45.492391055 15.548658162 167.6333 5 7 100.7157 72.5816 228.7121 -24.4949 66.3366 -75.1681 0.00 0.0
2025/10/22 17:16:42.000 45.492403658 15.548673278 165.5368 5 7 100.7126 72.5845 228.7294 -24.5098 66.3441 -75.1599 0.00 0.0
2025/10/22 17:16:43.000 45.492413091 15.548685356 161.5851 5 7 100.7095 72.5873 228.7466 -24.5248 66.3517 -75.1517 0.00 0.0
2025/10/22 17:16:44.000 45.492418916 15.548696399 161.4341 5 7 100.7064 72.5902 228.7638 -24.5397 66.3593 -75.1434 0.00 0.0
2025/10/22 17:16:45.000 45.492527936 15.548773662 173.1347 5 6 134.5513 80.3438 250.9745 57.3751 85.6890 69.5173 0.00 0.0
2025/10/22 17:16:46.000 45.492435655 15.548718921 158.3059 5 7 100.7002 72.5959 228.7982 -24.5696 66.3744 -75.1269 0.00 0.0
2025/10/22 17:16:47.000 45.492438330 15.548730626 156.9760 5 7 100.6971 72.5987 228.8154 -24.5845 66.3819 -75.1187 0.00 0.0
2025/10/22 17:16:48.000 45.492436467 15.548733950 155.4455 5 7 100.6940 72.6016 228.8325 -24.5994 66.3895 -75.1103 0.00 0.0
2025/10/22 17:16:49.000 45.492425756 15.548747373 152.8325 5 7 100.6909 72.6044 228.8496 -24.6143 66.3970 -75.1020 0.00 0.0
2025/10/22 17:16:50.000 45.492425231 15.548766629 153.3966 5 7 100.6878 72.6073 228.8667 -24.6291 66.4045 -75.0936 0.00 0.0
2025/10/22 17:16:51.000 45.492414581 15.548780783 154.1818 5 7 100.6846 72.6101 228.8837 -24.6440 66.4120 -75.0853 0.00 0.0
2025/10/22 17:16:52.000 45.492414948 15.548791283 153.1446 5 7 100.6815 72.6130 228.9008 -24.6588 66.4195 -75.0769 0.00 0.0
2025/10/22 17:16:53.000 45.492415241 15.548802211 153.3857 5 7 100.6784 72.6158 228.9178 -24.6736 66.4270 -75.0686 0.00 0.0
2025/10/22 17:16:54.000 45.492410935 15.548812622 150.5203 5 7 98.0470 72.1720 229.7583 -31.0540 60.8838 -78.1957 0.00 0.0
2025/10/22 17:16:55.000 45.492412586 15.548824934 149.9777 5 7 98.0444 72.1748 229.7792 -31.0650 60.8923 -78.1848 0.00 0.0
2025/10/22 17:16:56.000 45.492407527 15.548841139 149.7549 5 7 98.0419 72.1776 229.8001 -31.0759 60.9008 -78.1738 0.00 0.0
2025/10/22 17:16:57.000 45.492402221 15.548860114 150.7000 5 7 100.6660 72.6272 228.9856 -24.7329 66.4568 -75.0352 0.00 0.0
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2025/10/22 17:17:37.000 45.492361372 15.549386855 157.4647 5 7 100.5423 72.7414 229.6440 -25.3180 66.7480 -74.6966 0.00 0.0
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2025/10/22 17:17:43.000 45.492197809 15.549668761 203.5885 5 8 86.6205 65.1314 178.2216 31.7621 -15.5110 42.6978 0.00 0.0
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2025/10/22 17:18:15.000 45.491826865 15.549714822 156.4410 5 7 100.4252 72.8504 230.2360 -25.8612 67.0132 -74.3646 0.00 0.0
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% GPST latitude(deg) longitude(deg) height(m) Q ns sdn(m) sde(m) sdu(m) sdne(m) sdeu(m) sdun(m) age(s) ratio