The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 523743
# Created Thu Apr 25 01:08:22 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 121 observations of 121
# Arc: 13.15y
# First observation: 2010/08/21
# Last observation: 2023/10/15
# Chi-squared of fit: 72.35 DOF: 236 RMS: 0.14
# Min/Max residuals: -0.88 0.78
# Exact a, adot, b, bdot, g, gdot:
1.584028E-05 2.760591E-02 -1.943182E-06 -4.504891E-03 2.640017E-02 2.102258E-03
# Covariance matrix:
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
# lat0 lon0 xBary yBary zBary JD0
1.105477 33.971702 0.918984 0.007916 -0.412275 2455429.999056
# Heliocentric elements and errors
Epoch: 2455430.5000 = 2010/08/22
Mean Anomaly: 24.81123 +/- 0.000
Argument of Peri: 142.23537 +/- 0.000
Long of Asc Node: 219.30002 +/- 0.000
Inclination: 9.27747 +/- 0.000
Eccentricity: 0.11211782 +/- 0.0000
Semi-Major Axis: 42.52144254 +/- 0.0000
Time of Perihelion: 2448450.4862 +/- 0.0
Perihelion: 37.75403093 +/- 0.0000
Aphelion: 47.28885415 +/- 0.0000
Period (y) 277.2810 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 32.26667191 +/- 0.0000
Ecliptic Y 20.62919956 +/- 0.0000
Ecliptic Z 0.73074203 +/- 0.0000
Ecliptic XDOT -0.00141074 +/- 0.0000
Ecliptic YDOT 0.00250737 +/- 0.0000
Ecliptic ZDOT -0.00046292 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.30448298 +/- 0.0000
Geocenter to KBO 37.87851067 +/- 0.0000
# Hcoef: 5.89
The following table shows the complete astrometric record for 523743. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (523743) followed by the observatory code and reference code for the source of the astrometry.
2010 08 21.49829 02 05 21.286 +13 52 56.86 21.5G 523743 F51 C~2kQo 2010 08 22.53341 02 05 19.682 +13 52 47.54 22.2G 523743 F51 C~2kQo 2010 10 07.38827 02 02 44.528 +13 37 59.22 21.9w 523743 F51 C~1vXl 2010 10 07.40372 02 02 44.449 +13 37 58.76 21.8w 523743 F51 C~1vXl 2010 10 07.42013 02 02 44.377 +13 37 58.29 21.9w 523743 F51 C~1vXl 2010 10 07.43718 02 02 44.292 +13 37 57.82 21.8w 523743 F51 C~1vXl 2010 10 08.59270 02 02 38.775 +13 37 26.02 22.2G 523743 F51 C~2kQo 2010 10 14.50429 02 02 09.979 +13 34 39.56 21.8G 523743 F51 C~2kQo 2010 11 03.44196 02 00 29.541 +13 24 50.21 21.8w 523743 F51 C~1vXl 2010 11 03.45479 02 00 29.479 +13 24 49.86 21.8w 523743 F51 C~1vXl 2010 11 03.46763 02 00 29.403 +13 24 49.53 21.7w 523743 F51 C~1vXl 2010 11 03.48023 02 00 29.348 +13 24 49.00 21.9w 523743 F51 C~1vXl 2011 01 30.24238 01 57 15.233 +13 01 33.51 22.0w 523743 F51 C~1vXl 2011 01 30.24721 01 57 15.249 +13 01 33.47 22.0w 523743 F51 C~1vXl 2011 01 30.25270 01 57 15.246 +13 01 33.55 21.9w 523743 F51 C~1vXl 2011 01 30.25756 01 57 15.258 +13 01 33.55 22.0w 523743 F51 C~1vXl 2012 09 26.60809 02 16 39.613 +14 17 20.42 21.5G 523743 F51 C~2kQo 2012 10 17.40550 02 15 03.701 +14 08 24.26 21.8w 523743 F51 C~1vXl 2012 10 17.41891 02 15 03.623 +14 08 23.91 21.7w 523743 F51 C~1vXl 2012 10 17.43239 02 15 03.555 +14 08 23.48 21.7w 523743 F51 C~1vXl 2012 10 17.44590 02 15 03.484 +14 08 23.07 21.8w 523743 F51 C~1vXl 2012 12 07.22787 02 11 04.741 +13 45 27.48 21.9w 523743 F51 C~1vXl 2012 12 07.24372 02 11 04.673 +13 45 27.21 21.8w 523743 F51 C~1vXl 2012 12 07.25875 02 11 04.616 +13 45 26.54 21.9w 523743 F51 C~1vXl 2012 12 07.27381 02 11 04.559 +13 45 26.43 21.9w 523743 F51 C~1vXl 2013 07 14.57707 02 24 17.603 +14 41 41.40 21.8w 523743 F51 C~1vXl 2013 07 14.58103 02 24 17.622 +14 41 41.42 21.9w 523743 F51 C~1vXl 2013 07 14.58498 02 24 17.624 +14 41 41.35 22.3w 523743 F51 C~1vXl 2013 07 14.58893 02 24 17.632 +14 41 41.57 22.1w 523743 F51 C~1vXl 2014 09 02.49104 02 31 00.091 +14 56 19.25 21.8G 523743 F51 C~2kQo 2014 09 02.50321 02 31 00.060 +14 56 19.15 22.0G 523743 F51 C~2kQo 2014 09 02.51532 02 31 00.041 +14 56 19.03 21.9G 523743 F51 C~2kQo 2014 09 02.52744 02 31 00.013 +14 56 18.89 22.2G 523743 F51 C~2kQo 2014 10 02.39288 02 29 23.857 +14 47 18.03 21.4i 523743 F51 C~1vXl 2014 10 02.40506 02 29 23.814 +14 47 17.80 21.3i 523743 F51 C~1vXl 2014 10 02.41727 02 29 23.753 +14 47 17.41 21.2i 523743 F51 C~1vXl 2014 10 02.42951 02 29 23.699 +14 47 17.27 21.7i 523743 F51 C~1vXl 2014 11 17.45644 02 25 37.526 +14 26 51.74 21.7w 523743 F51 C~1vXl 2014 11 17.45710 02 25 37.534 +14 26 51.83 21.9w 523743 F51 C~1vXl 2014 11 17.47008 02 25 37.473 +14 26 51.34 21.9w 523743 F51 C~1vXl 2014 11 17.47074 02 25 37.469 +14 26 51.33 21.8w 523743 F51 C~1vXl 2014 11 17.48380 02 25 37.380 +14 26 50.77 21.8w 523743 F51 C~1vXl 2014 11 17.48447 02 25 37.395 +14 26 50.98 21.9w 523743 F51 C~1vXl 2014 11 17.49745 02 25 37.317 +14 26 50.58 21.8w 523743 F51 C~1vXl 2014 11 17.49812 02 25 37.327 +14 26 50.46 21.9w 523743 F51 C~1vXl 2014 11 19.44249 02 25 27.885 +14 25 59.07 21.9G 523743 F51 C~2kQo 2014 11 21.42231 02 25 18.414 +14 25 07.23 21.8w 523743 F51 C~1vXl 2014 11 21.43384 02 25 18.353 +14 25 06.98 21.8w 523743 F51 C~1vXl 2014 11 21.44553 02 25 18.300 +14 25 06.55 22.1w 523743 F51 C~1vXl 2014 11 21.45715 02 25 18.251 +14 25 06.28 22.1w 523743 F51 C~1vXl 2014 12 13.34225 02 23 46.968 +14 16 37.27 21.9w 523743 F51 C~1vXl 2014 12 13.34294 02 23 46.960 +14 16 37.26 21.8w 523743 F51 C~1vXl 2014 12 13.35525 02 23 46.924 +14 16 37.07 21.8w 523743 F51 C~1vXl 2014 12 13.35591 02 23 46.922 +14 16 36.99 21.9w 523743 F51 C~1vXl 2014 12 13.36818 02 23 46.870 +14 16 36.81 21.8w 523743 F51 C~1vXl 2014 12 13.36884 02 23 46.878 +14 16 36.65 22.1w 523743 F51 C~1vXl 2014 12 13.38117 02 23 46.833 +14 16 36.58 22.0w 523743 F51 C~1vXl 2014 12 13.38182 02 23 46.834 +14 16 36.31 21.6w 523743 F51 C~1vXl 2015 01 22.22987 02 22 40.638 +14 09 23.55 21.8w 523743 F51 C~1vXl 2015 01 22.24525 02 22 40.644 +14 09 23.52 21.9w 523743 F51 C~1vXl 2015 01 22.26059 02 22 40.653 +14 09 23.51 22.1w 523743 F51 C~1vXl 2015 01 22.27599 02 22 40.653 +14 09 23.55 22.0w 523743 F51 C~1vXl 2015 10 10.39133 02 35 21.823 +14 59 07.52 21.8G 523743 F51 C~2kQo 2015 10 22.38625 02 34 23.991 +14 54 00.49 20.2G 523743 F51 C~2kQo 2015 11 18.31924 02 32 06.908 +14 41 55.23 21.0G 523743 F51 C~2kQo 2015 12 04.25542 02 30 53.379 +14 35 22.61 21.8G 523743 F51 C~2kQo 2015 12 04.26603 02 30 53.329 +14 35 22.40 22.0G 523743 F51 C~2kQo 2015 12 04.27658 02 30 53.291 +14 35 22.09 22.1G 523743 F51 C~2kQo 2015 12 04.28728 02 30 53.242 +14 35 22.01 21.9G 523743 F51 C~2kQo 2015 12 29.30649 02 29 30.167 +14 27 42.35 22.0G 523743 F51 C~2kQo 2015 12 30.21671 02 29 28.154 +14 27 30.30 21.9G 523743 F51 C~2kQo 2016 01 02.27989 02 29 21.853 +14 26 53.08 22.2G 523743 F51 C~2kQo 2016 01 04.29744 02 29 18.212 +14 26 31.06 21.9G 523743 F51 C~2kQo 2016 01 04.31045 02 29 18.184 +14 26 30.85 22.0G 523743 F51 C~2kQo 2016 01 04.32344 02 29 18.164 +14 26 30.70 22.0G 523743 F51 C~2kQo 2016 01 04.33641 02 29 18.147 +14 26 30.54 21.9G 523743 F51 C~2kQo 2016 01 05.27570 02 29 16.593 +14 26 21.10 22.0G 523743 F51 C~2kQo 2016 01 10.27695 02 29 09.776 +14 25 36.97 22.1G 523743 F51 C~2kQo 2016 01 15.34677 02 29 05.460 +14 25 04.87 22.2G 523743 F51 C~2kQo 2016 01 24.25270 02 29 04.368 +14 24 40.73 22.7G 523743 F51 C~2kQo 2016 01 26.33372 02 29 05.405 +14 24 40.62 21.3G 523743 F51 C~2kQo 2016 02 01.26797 02 29 10.626 +14 24 53.72 21.9G 523743 F51 C~2kQo 2016 02 01.27340 02 29 10.636 +14 24 53.79 21.9G 523743 F51 C~2kQo 2017 01 23.27630 02 35 26.921 +14 39 15.66 21.6G 523743 F51 C~2kQo 2017 09 23.44029 02 49 29.052 +15 32 26.40 20.9G 523743 F51 C~2kQo 2017 09 23.45122 02 49 29.023 +15 32 26.04 21.1G 523743 F51 C~2kQo 2017 09 23.46226 02 49 28.982 +15 32 25.89 21.3G 523743 F51 C~2kQo 2017 09 23.47323 02 49 28.938 +15 32 25.66 21.3G 523743 F51 C~2kQo 2017 09 27.60041 02 49 14.269 +15 31 06.43 21.9G 523743 F51 C~2kQo 2017 09 27.61050 02 49 14.240 +15 31 06.16 22.5G 523743 F51 C~2kQo 2017 09 27.62067 02 49 14.200 +15 31 05.88 21.8G 523743 F51 C~2kQo 2017 09 27.63082 02 49 14.153 +15 31 05.85 21.9G 523743 F51 C~2kQo 2017 11 21.42466 02 44 51.390 +15 08 46.95 21.8G 523743 F51 C~2kQo 2017 11 21.43620 02 44 51.330 +15 08 46.76 21.4G 523743 F51 C~2kQo 2017 11 21.44778 02 44 51.268 +15 08 46.60 21.5G 523743 F51 C~2kQo 2018 01 12.29393 02 41 55.858 +14 53 53.79 22.0G 523743 F51 C~2kQo 2020 07 31.59746 03 09 18.558 +16 13 34.02 22.0w 523743 F51 C~43oU 2020 07 31.60216 03 09 18.562 +16 13 34.04 22.0w 523743 F51 C~43oU 2020 07 31.60688 03 09 18.582 +16 13 34.02 21.9w 523743 F51 C~43oU 2020 12 08.25368 03 02 57.928 +15 39 35.84 21.8w 523743 F51 C~4TuJ 2020 12 08.27835 03 02 57.823 +15 39 35.40 21.8w 523743 F51 C~4TuJ 2020 12 08.29082 03 02 57.769 +15 39 35.01 21.8w 523743 F51 C~4TuJ 2020 12 11.25802 03 02 44.774 +15 38 37.10 21.9w 523743 F51 C~4TuJ 2020 12 11.27052 03 02 44.727 +15 38 37.19 22.0w 523743 F51 C~4TuJ 2020 12 11.28306 03 02 44.665 +15 38 36.68 21.8w 523743 F51 C~4TuJ 2021 11 12.476779 03 11 35.872 +16 00 06.02 21.7w 523743 F52 C~5H0l 2021 11 12.488936 03 11 35.806 +16 00 05.67 21.5w 523743 F52 C~5H0l 2021 11 12.501087 03 11 35.741 +16 00 05.27 21.7w 523743 F52 C~5H0l 2021 11 12.513193 03 11 35.657 +16 00 04.93 21.6w 523743 F52 C~5H0l 2022 10 23.399978 03 19 47.511 +16 17 46.83 21.7w 523743 F52 C~62mP 2022 10 23.413360 03 19 47.458 +16 17 46.60 21.9w 523743 F52 C~62mP 2022 10 23.426688 03 19 47.382 +16 17 46.32 22.0w 523743 F52 C~62mP 2022 10 23.440161 03 19 47.324 +16 17 45.87 22.0w 523743 F52 C~62mP 2022 11 16.319014 03 17 45.781 +16 08 47.09 21.9w 523743 F52 C~66mC 2022 11 16.332291 03 17 45.711 +16 08 46.83 21.7w 523743 F52 C~66mC 2022 11 16.345553 03 17 45.657 +16 08 46.59 21.9w 523743 F52 C~66mC 2022 11 16.358919 03 17 45.584 +16 08 46.24 21.8w 523743 F52 C~66mC 2023 10 15.413593 03 26 51.936 +16 29 40.29 22.1w 523743 F51 C~7MBj 2023 10 15.426965 03 26 51.899 +16 29 40.08 22.0w 523743 F51 C~7MBj 2023 10 15.441036 03 26 51.836 +16 29 39.59 22.0w 523743 F51 C~7MBj 2023 10 15.454338 03 26 51.776 +16 29 39.61 21.9w 523743 F51 C~7MBj
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 0.19 0.00 -0.10
2 0.0028 0.00 0.03 0.00 -0.04
3 0.1284 0.00 0.02 0.00 0.15
4 0.1284 0.00 -0.05 0.00 0.10
5 0.1285 0.00 0.06 0.00 0.08
6 0.1285 0.00 0.02 0.00 0.07
7 0.1317 0.00 0.05 0.00 -0.00
8 0.1479 0.00 -0.07 0.00 -0.09
9 0.2024 0.00 0.07 0.00 0.08
10 0.2025 0.00 0.12 0.00 0.12
11 0.2025 0.00 -0.04 0.00 0.17
12 0.2026 0.00 0.10 0.00 0.02
13 0.4428 0.00 0.04 0.00 0.10
14 0.4428 0.00 0.15 0.00 0.03
15 0.4429 0.00 -0.05 0.00 0.08
16 0.4429 0.00 0.00 0.00 0.05
17 2.1002 0.00 0.12 0.00 -0.17
18 2.1572 0.00 -0.17 0.00 0.04
19 2.1572 0.00 -0.32 0.00 0.06
20 2.1572 0.00 -0.32 0.00 0.01
21 2.1573 0.00 -0.35 0.00 -0.02
22 2.2963 0.00 0.06 0.00 0.06
23 2.2964 0.00 -0.08 0.00 0.14
24 2.2964 0.00 -0.10 0.00 -0.20
25 2.2964 0.00 -0.12 0.00 0.02
26 2.8969 0.00 -0.08 0.00 0.13
27 2.8969 0.00 0.05 0.00 0.10
28 2.8969 0.00 -0.08 0.00 -0.01
29 2.8969 0.00 -0.11 0.00 0.16
30 4.0328 0.00 0.14 0.00 -0.09
31 4.0329 0.00 0.06 0.00 -0.05
32 4.0329 0.00 0.15 0.00 -0.02
33 4.0329 0.00 0.11 0.00 -0.02
34 4.1147 0.00 -0.06 0.00 0.08
35 4.1147 0.00 0.08 0.00 0.13
36 4.1148 0.00 -0.04 0.00 0.02
37 4.1148 0.00 -0.05 0.00 0.16
38 4.2408 0.00 -0.11 0.00 -0.10
39 4.2408 0.00 0.06 0.00 0.01
40 4.2409 0.00 0.11 0.00 -0.13
41 4.2409 0.00 0.10 0.00 -0.12
42 4.2409 0.00 -0.26 0.00 -0.33
43 4.2409 0.00 0.01 0.00 -0.11
44 4.2409 0.00 -0.19 0.00 -0.16
45 4.2409 0.00 0.01 0.00 -0.26
46 4.2463 0.00 -0.10 0.00 -0.06
47 4.2517 0.00 -0.06 0.00 -0.01
48 4.2517 0.00 -0.14 0.00 0.05
49 4.2517 0.00 -0.09 0.00 -0.08
50 4.2518 0.00 0.02 0.00 -0.04
51 4.3117 0.00 0.01 0.00 -0.06
52 4.3117 0.00 -0.08 0.00 -0.06
53 4.3117 0.00 0.04 0.00 0.00
54 4.3117 0.00 0.04 0.00 -0.07
55 4.3118 0.00 -0.08 0.00 -0.00
56 4.3118 0.00 0.07 0.00 -0.15
57 4.3118 0.00 0.05 0.00 0.03
58 4.3118 0.00 0.10 0.00 -0.23
59 4.4209 0.00 -0.14 0.00 0.10
60 4.4209 0.00 -0.10 0.00 0.09
61 4.4210 0.00 -0.03 0.00 0.09
62 4.4210 0.00 -0.09 0.00 0.15
63 5.1359 0.00 -0.11 0.00 0.08
64 5.1688 0.00 -0.27 0.00 0.07
65 5.2425 0.00 0.08 0.00 -0.21
66 5.2861 0.00 0.11 0.00 -0.02
67 5.2862 0.00 0.04 0.00 0.01
68 5.2862 0.00 0.16 0.00 -0.06
69 5.2862 0.00 0.11 0.00 0.10
70 5.3547 0.00 -0.09 0.00 -0.04
71 5.3572 0.00 0.15 0.00 -0.18
72 5.3656 0.00 -0.03 0.00 -0.12
73 5.3711 0.00 0.09 0.00 0.02
74 5.3711 0.00 0.02 0.00 -0.05
75 5.3712 0.00 0.07 0.00 -0.06
76 5.3712 0.00 0.16 0.00 -0.08
77 5.3738 0.00 0.16 0.00 0.11
78 5.3875 0.00 0.15 0.00 0.04
79 5.4014 0.00 -0.04 0.00 -0.12
80 5.4257 0.00 -0.88 0.00 -0.00
81 5.4314 0.00 0.39 0.00 -0.30
82 5.4477 0.00 0.06 0.00 0.02
83 5.4477 0.00 0.11 0.00 0.08
84 6.4251 0.00 0.78 0.00 0.06
85 7.0909 0.00 -0.04 0.00 0.14
86 7.0909 0.00 0.09 0.00 -0.02
87 7.0909 0.00 0.05 0.00 0.03
88 7.0910 0.00 -0.03 0.00 0.00
89 7.1023 0.00 0.08 0.00 0.09
90 7.1023 0.00 0.22 0.00 0.03
91 7.1023 0.00 0.20 0.00 -0.05
92 7.1023 0.00 0.07 0.00 0.12
93 7.2524 0.00 0.03 0.00 -0.17
94 7.2524 0.00 0.00 0.00 -0.07
95 7.2524 0.00 -0.05 0.00 0.06
96 7.3944 0.00 0.11 0.00 0.03
97 9.9441 0.00 -0.03 0.00 0.06
98 9.9442 0.00 -0.11 0.00 0.06
99 9.9442 0.00 0.04 0.00 0.02
100 10.2991 0.00 -0.05 0.00 -0.03
101 10.2992 0.00 0.06 0.00 0.02
102 10.2992 0.00 0.10 0.00 -0.12
103 10.3074 0.00 -0.06 0.00 -0.11
104 10.3074 0.00 0.06 0.00 0.22
105 10.3074 0.00 -0.05 0.00 -0.06
106 11.2279 0.00 0.09 0.00 0.19
107 11.2279 0.00 0.07 0.00 0.13
108 11.2279 0.00 0.07 0.00 0.01
109 11.2280 0.00 -0.23 0.00 -0.04
110 12.1722 0.00 -0.16 0.00 -0.03
111 12.1723 0.00 0.02 0.00 0.04
112 12.1723 0.00 -0.16 0.00 0.04
113 12.1723 0.00 -0.05 0.00 -0.11
114 12.2377 0.00 -0.24 0.00 -0.01
115 12.2377 0.00 -0.23 0.00 0.03
116 12.2378 0.00 0.01 0.00 0.08
117 12.2378 0.00 -0.01 0.00 0.03
118 13.1497 0.00 -0.14 0.00 0.03
119 13.1497 0.00 0.18 0.00 0.08
120 13.1497 0.00 0.15 0.00 -0.13
121 13.1498 0.00 0.12 0.00 0.15
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
523743 quality flag:3 Type: 5:3EE 5:3EE 5:3EE axisobj 42.657 42.657 42.657 ecceobj 0.114 0.114 0.114 incobj 9.263 9.263 9.263 qmin 36.550 36.550 36.551 qmax 48.402 48.402 48.403 amean 42.329 42.329 42.329 amin 41.931 41.931 41.931 amax 42.744 42.744 42.744 emean 0.101 0.101 0.101 emin 0.068 0.068 0.068 emax 0.134 0.134 0.134 imean 10.605 10.605 10.605 imin 9.568 9.568 9.568 imax 11.764 11.764 11.764 excite_mean 0.210 0.210 0.210 fracstop 1.000 1.000 1.000 cjmean 3.030 3.030 3.030 libcent 0 179.0 178.9 179.0 libamp 0 77.4 77.3 77.5 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 180.7 180.7 180.6 kozaiamp 179.9 179.9 179.9