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: 666184 # Created Sun Nov 24 02:07:46 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 123 observations of 123 # Arc: 14.15y # First observation: 2009/12/17 # Last observation: 2024/02/11 # Chi-squared of fit: 71.15 DOF: 240 RMS: 0.13 # Min/Max residuals: -0.40 0.52 # Exact a, adot, b, bdot, g, gdot: 1.637629E-05 2.979610E-02 1.976243E-06 2.577372E-03 2.842496E-02 8.285038E-04 # 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 -4.467713 101.997935 0.277424 -0.073754 -0.944182 2455182.902026 # Heliocentric elements and errors Epoch: 2455182.5000 = 2009/12/17 Mean Anomaly: 62.20639 +/- 0.000 Argument of Peri: 253.69982 +/- 0.000 Long of Asc Node: 142.95102 +/- 0.000 Inclination: 6.56331 +/- 0.000 Eccentricity: 0.02438483 +/- 0.0000 Semi-Major Axis: 36.51992391 +/- 0.0000 Time of Perihelion: 2441253.3147 +/- 0.0 Perihelion: 35.62939184 +/- 0.0000 Aphelion: 37.41045597 +/- 0.0000 Period (y) 220.7003 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -7.21331242 +/- 0.0000 Ecliptic Y 35.28818880 +/- 0.0000 Ecliptic Z -2.74040815 +/- 0.0000 Ecliptic XDOT -0.00282466 +/- 0.0000 Ecliptic YDOT -0.00049440 +/- 0.0000 Ecliptic ZDOT 0.00024121 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.12197480 +/- 0.0000 Geocenter to KBO 35.18036260 +/- 0.0000 # Hcoef: 6.60
The following table shows the complete astrometric record for 666184. 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 (666184) followed by the observatory code and reference code for the source of the astrometry.
2009 12 17.40126 06 50 28.621 +18 26 51.11 22.5G 666184 F51 C~344s 2009 12 17.40909 06 50 28.576 +18 26 51.21 22.5G 666184 F51 C~344s 2010 01 06.36373 06 48 30.313 +18 29 27.87 21.5G 666184 F51 C~344s 2010 01 06.37131 06 48 30.267 +18 29 28.08 21.7G 666184 F51 C~344s 2010 01 08.37536 06 48 18.314 +18 29 46.47 21.9G 666184 F51 C~344s 2010 01 08.38352 06 48 18.267 +18 29 46.74 21.8G 666184 F51 C~344s 2010 01 09.37574 06 48 12.355 +18 29 56.40 21.9G 666184 F51 C~344s 2010 01 11.37546 06 48 00.522 +18 30 15.38 22.1G 666184 F51 C~344s 2010 01 11.38335 06 48 00.484 +18 30 15.30 21.7G 666184 F51 C~344s 2010 01 23.34517 06 46 52.143 +18 32 18.75 21.8G 666184 F51 C~344s 2010 01 23.35318 06 46 52.090 +18 32 18.41 21.8G 666184 F51 C~344s 2010 11 02.53650 07 00 45.447 +18 24 19.15 21.9G 666184 F51 C~344s 2010 11 02.54837 07 00 45.419 +18 24 18.97 21.8G 666184 F51 C~344s 2010 12 15.60504 06 57 52.890 +18 26 01.56 22.7G 666184 F51 C~344s 2010 12 15.61701 06 57 52.802 +18 26 01.52 23.4G 666184 F51 C~344s 2012 01 25.29334 07 01 10.158 +18 31 23.18 22.4G 666184 F51 C~344s 2012 01 25.30661 07 01 10.098 +18 31 23.34 22.0G 666184 F51 C~344s 2013 12 11.55960 07 19 48.312 +18 17 24.22 21.8G 666184 F51 C~344s 2013 12 11.57474 07 19 48.224 +18 17 24.34 21.9G 666184 F51 C~344s 2013 12 11.58987 07 19 48.151 +18 17 24.31 22.0G 666184 F51 C~344s 2013 12 11.60500 07 19 48.063 +18 17 24.78 22.1G 666184 F51 C~344s 2014 01 26.29173 07 15 27.082 +18 26 23.84 22.2G 666184 F51 C~344s 2014 01 26.30376 07 15 27.014 +18 26 24.00 22.1G 666184 F51 C~344s 2014 01 26.33310 07 15 26.841 +18 26 24.25 22.4G 666184 F51 C~344s 2014 01 26.34499 07 15 26.779 +18 26 24.48 21.9G 666184 F51 C~344s 2014 11 26.44670 07 28 05.111 +18 10 51.71 22.3G 666184 F51 C~344s 2014 11 26.45937 07 28 05.062 +18 10 51.91 22.0G 666184 F51 C~344s 2014 11 26.47201 07 28 05.020 +18 10 52.06 21.9G 666184 F51 C~344s 2014 11 26.48465 07 28 04.975 +18 10 52.10 22.4G 666184 F51 C~344s 2015 01 13.34035 07 23 55.330 +18 19 00.49 22.0G 666184 F51 C~344s 2015 01 13.35392 07 23 55.245 +18 19 00.69 21.9G 666184 F51 C~344s 2015 01 13.36744 07 23 55.164 +18 19 00.87 21.8G 666184 F51 C~344s 2015 01 13.38096 07 23 55.081 +18 19 01.04 21.9G 666184 F51 C~344s 2015 01 16.33288 07 23 37.648 +18 19 42.93 21.8G 666184 F51 C~344s 2015 01 16.34502 07 23 37.580 +18 19 43.19 21.9G 666184 F51 C~344s 2015 01 16.35727 07 23 37.497 +18 19 43.31 22.1G 666184 F51 C~344s 2015 01 16.36950 07 23 37.430 +18 19 43.47 22.0G 666184 F51 C~344s 2015 02 20.23679 07 20 36.424 +18 28 12.88 21.9G 666184 F51 C~344s 2015 02 20.24991 07 20 36.344 +18 28 12.85 22.0G 666184 F51 C~344s 2015 02 20.26307 07 20 36.318 +18 28 13.27 22.2G 666184 F51 C~344s 2015 02 20.27624 07 20 36.263 +18 28 13.54 22.9G 666184 F51 C~344s 2015 02 22.23720 07 20 28.442 +18 28 40.58 22.3G 666184 F51 C~344s 2015 02 22.25038 07 20 28.392 +18 28 40.78 22.0G 666184 F51 C~344s 2015 02 22.26366 07 20 28.337 +18 28 40.64 22.2G 666184 F51 C~344s 2015 02 22.27703 07 20 28.286 +18 28 41.03 22.4G 666184 F51 C~344s 2016 01 04.34967 07 32 00.468 +18 11 24.65 21.6G 666184 F51 C~344s 2016 01 04.36004 07 32 00.409 +18 11 24.76 21.7G 666184 F51 C~344s 2016 01 04.37042 07 32 00.343 +18 11 24.87 21.8G 666184 F51 C~344s 2016 01 04.38086 07 32 00.281 +18 11 24.88 21.9G 666184 F51 C~344s 2016 01 05.52233 07 31 53.591 +18 11 40.68 22.0G 666184 F51 C~344s 2016 01 05.53589 07 31 53.496 +18 11 40.97 22.2G 666184 F51 C~344s 2016 01 05.54943 07 31 53.427 +18 11 41.28 22.2G 666184 F51 C~344s 2016 01 05.56304 07 31 53.343 +18 11 41.16 22.3G 666184 F51 C~344s 2016 01 16.46527 07 30 49.003 +18 14 20.75 22.3G 666184 F51 C~344s 2016 01 16.47618 07 30 48.925 +18 14 20.98 21.9G 666184 F51 C~344s 2016 01 16.48700 07 30 48.864 +18 14 20.69 21.0G 666184 F51 C~344s 2016 01 16.49785 07 30 48.811 +18 14 21.08 21.7G 666184 F51 C~344s 2016 02 01.28426 07 29 18.566 +18 18 26.20 21.8G 666184 F51 C~344s 2016 02 01.29753 07 29 18.526 +18 18 26.46 22.1G 666184 F51 C~344s 2016 02 01.31069 07 29 18.436 +18 18 26.68 22.2G 666184 F51 C~344t 2016 02 01.32393 07 29 18.390 +18 18 26.63 22.3G 666184 F51 C~344t 2016 02 05.28300 07 28 57.179 +18 19 28.56 21.9G 666184 F51 C~344t 2016 02 05.29723 07 28 57.109 +18 19 28.99 22.1G 666184 F51 C~344t 2016 02 05.31149 07 28 57.022 +18 19 29.24 22.7G 666184 F51 C~344t 2016 02 05.32596 07 28 56.944 +18 19 29.48 21.8G 666184 F51 C~344t 2016 02 10.27932 07 28 31.672 +18 20 46.15 22.0G 666184 F51 C~344t 2016 02 10.28061 07 28 31.648 +18 20 46.40 22.3G 666184 F51 C~344t 2016 02 10.29238 07 28 31.576 +18 20 46.63 21.9G 666184 F51 C~344t 2016 02 10.29372 07 28 31.602 +18 20 46.40 22.1G 666184 F51 C~344t 2016 02 10.30563 07 28 31.517 +18 20 46.77 22.4G 666184 F51 C~344t 2016 02 10.30695 07 28 31.528 +18 20 46.66 22.4G 666184 F51 C~344t 2016 02 10.31908 07 28 31.459 +18 20 46.76 22.5G 666184 F51 C~344t 2016 02 10.32039 07 28 31.461 +18 20 46.75 23.0G 666184 F51 C~344t 2016 04 02.26943 07 26 15.752 +18 31 10.87 22.1G 666184 F51 C~344t 2016 04 02.28204 07 26 15.757 +18 31 10.73 21.4G 666184 F51 C~344t 2016 04 02.29469 07 26 15.759 +18 31 11.12 22.2G 666184 F51 C~344t 2016 04 02.30736 07 26 15.761 +18 31 11.30 22.3G 666184 F51 C~344t 2017 01 05.31622 07 38 59.450 +18 05 20.61 21.2G 666184 F51 C~344t 2017 01 27.46950 07 36 50.169 +18 11 12.23 22.3G 666184 F51 C~344t 2017 01 27.48215 07 36 50.093 +18 11 12.66 22.3G 666184 F51 C~344t 2017 01 27.49482 07 36 50.012 +18 11 12.62 22.0G 666184 F51 C~344t 2017 01 27.50750 07 36 49.954 +18 11 12.68 21.7G 666184 F51 C~344t 2017 04 09.24878 07 33 18.549 +18 26 20.04 22.3G 666184 F51 C~344t 2017 04 09.26140 07 33 18.555 +18 26 20.31 21.5G 666184 F51 C~344t 2017 04 09.27404 07 33 18.574 +18 26 20.24 22.3G 666184 F51 C~344t 2017 04 09.28669 07 33 18.597 +18 26 20.71 22.0G 666184 F51 C~344t 2017 12 12.43757 07 48 14.620 +17 52 33.53 21.6G 666184 F51 C~344t 2017 12 12.44800 07 48 14.552 +17 52 33.15 22.3G 666184 F51 C~344t 2017 12 12.45842 07 48 14.483 +17 52 33.13 22.0G 666184 F51 C~344t 2017 12 12.46898 07 48 14.444 +17 52 33.33 22.3G 666184 F51 C~344t 2017 12 23.40882 07 47 20.065 +17 54 43.86 22.7G 666184 F51 C~344t 2017 12 23.42164 07 47 19.997 +17 54 44.02 22.5G 666184 F51 C~344t 2017 12 23.43455 07 47 19.927 +17 54 44.16 21.9G 666184 F51 C~344t 2017 12 23.44750 07 47 19.864 +17 54 44.33 22.0G 666184 F51 C~344t 2018 01 11.53146 07 45 32.116 +17 59 29.50 21.3G 666184 F51 C~344t 2018 01 20.32511 07 44 40.523 +18 01 56.61 21.7G 666184 F51 C~344t 2018 01 20.33805 07 44 40.441 +18 01 56.83 21.7G 666184 F51 C~344t 2018 01 20.35092 07 44 40.360 +18 01 57.16 21.9G 666184 F51 C~344t 2018 01 20.36382 07 44 40.283 +18 01 57.32 21.8G 666184 F51 C~344t 2020 12 09.412490 08 09 30.375 +17 23 26.68 22.2G 666184 G37 C~4U4M 2020 12 09.464180 08 09 30.178 +17 23 27.24 666184 G37 C~4U4M 2020 12 09.508590 08 09 29.990 +17 23 27.51 666184 G37 C~4U4M 2021 01 11.406190 08 06 44.493 +17 31 49.74 22.0G 666184 G37 C~4U4M 2021 01 11.446960 08 06 44.262 +17 31 50.55 666184 G37 C~4U4M 2021 01 11.487510 08 06 44.029 +17 31 51.27 666184 G37 C~4U4M 2022 01 31.325493 08 11 52.789 +17 27 21.57 21.9w 666184 F52 C~5Rs4 2022 01 31.336919 08 11 52.742 +17 27 22.07 21.8w 666184 F52 C~5Rs4 2022 01 31.359881 08 11 52.612 +17 27 22.39 21.8w 666184 F52 C~5Rs4 2023 01 14.385058 08 20 32.194 +17 09 36.15 21.9w 666184 F52 C~6DEH 2023 01 14.396421 08 20 32.129 +17 09 36.31 22.0w 666184 F52 C~6DEH 2023 01 14.407828 08 20 32.053 +17 09 36.75 22.1w 666184 F52 C~6DEH 2023 01 14.419228 08 20 31.997 +17 09 36.73 21.8w 666184 F52 C~6DEH 2023 11 18.548740 08 31 11.463 +16 44 09.25 22.1w 666184 F52 C~7WzY 2023 11 18.560959 08 31 11.434 +16 44 08.98 22.4w 666184 F52 C~7WzY 2023 11 18.573256 08 31 11.434 +16 44 09.18 22.3w 666184 F52 C~7WzY 2023 11 18.585660 08 31 11.411 +16 44 09.27 22.1w 666184 F52 C~7WzY 2024 01 10.73796 08 27 53.07 +16 55 23.8 21.9w 666184 O18 C~7gmF 2024 01 10.74663 08 27 53.03 +16 55 23.9 21.5w 666184 O18 C~7gmF 2024 01 10.75541 08 27 52.98 +16 55 24.2 22.2w 666184 O18 C~7gmF 2024 02 11.478486 08 24 54.135 +17 06 51.08 21.8w 666184 F52 C~7mrA 2024 02 11.491507 08 24 54.072 +17 06 51.18 21.9w 666184 F52 C~7mrA 2024 02 11.504520 08 24 53.990 +17 06 51.54 22.1w 666184 F52 C~7mrA 2024 02 11.517524 08 24 53.958 +17 06 51.83 22.1w 666184 F52 C~7mrA
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 0.03 0.00 -0.12
2 0.0000 0.00 0.04 0.00 -0.07
3 0.0547 0.00 -0.06 0.00 -0.15
4 0.0547 0.00 -0.06 0.00 -0.01
5 0.0602 0.00 0.08 0.00 -0.27
6 0.0602 0.00 0.12 0.00 -0.08
7 0.0629 0.00 -0.04 0.00 0.18
8 0.0684 0.00 0.09 0.00 -0.11
9 0.0684 0.00 0.23 0.00 -0.27
10 0.1011 0.00 -0.05 0.00 0.45
11 0.1012 0.00 -0.18 0.00 0.02
12 0.8765 0.00 0.03 0.00 0.06
13 0.8765 0.00 -0.02 0.00 -0.10
14 0.9944 0.00 0.08 0.00 0.20
15 0.9944 0.00 -0.23 0.00 0.09
16 2.1051 0.00 -0.16 0.00 -0.00
17 2.1051 0.00 0.06 0.00 -0.01
18 3.9840 0.00 0.11 0.00 -0.05
19 3.9840 0.00 -0.04 0.00 -0.05
20 3.9841 0.00 0.03 0.00 -0.20
21 3.9841 0.00 -0.12 0.00 0.15
22 4.1092 0.00 -0.01 0.00 0.09
23 4.1092 0.00 -0.01 0.00 0.08
24 4.1093 0.00 -0.11 0.00 -0.08
25 4.1094 0.00 -0.03 0.00 -0.02
26 4.9419 0.00 -0.11 0.00 -0.18
27 4.9420 0.00 -0.13 0.00 -0.04
28 4.9420 0.00 -0.03 0.00 0.04
29 4.9420 0.00 0.01 0.00 0.02
30 5.0731 0.00 0.07 0.00 0.00
31 5.0731 0.00 0.02 0.00 0.01
32 5.0731 0.00 0.03 0.00 -0.00
33 5.0732 0.00 0.00 0.00 -0.03
34 5.0813 0.00 0.00 0.00 -0.05
35 5.0813 0.00 0.07 0.00 0.03
36 5.0813 0.00 -0.07 0.00 -0.02
37 5.0814 0.00 0.02 0.00 -0.04
38 5.1768 0.00 -0.02 0.00 0.13
39 5.1769 0.00 -0.40 0.00 -0.08
40 5.1769 0.00 0.04 0.00 0.15
41 5.1769 0.00 0.04 0.00 0.24
42 5.1823 0.00 0.06 0.00 0.20
43 5.1823 0.00 0.10 0.00 0.22
44 5.1824 0.00 0.07 0.00 -0.10
45 5.1824 0.00 0.11 0.00 0.10
46 6.0478 0.00 0.04 0.00 0.14
47 6.0478 0.00 0.07 0.00 0.11
48 6.0478 0.00 0.01 0.00 0.07
49 6.0479 0.00 0.01 0.00 -0.06
50 6.0510 0.00 0.06 0.00 -0.14
51 6.0510 0.00 -0.15 0.00 -0.04
52 6.0511 0.00 0.02 0.00 0.09
53 6.0511 0.00 -0.02 0.00 -0.22
54 6.0809 0.00 0.01 0.00 0.01
55 6.0810 0.00 -0.18 0.00 0.07
56 6.0810 0.00 -0.13 0.00 -0.38
57 6.0810 0.00 0.05 0.00 -0.15
58 6.1243 0.00 -0.33 0.00 0.02
59 6.1243 0.00 0.17 0.00 0.07
60 6.1243 0.00 -0.09 0.00 0.08
61 6.1244 0.00 0.32 0.00 -0.18
62 6.1352 0.00 -0.02 0.00 -0.20
63 6.1352 0.00 0.07 0.00 0.01
64 6.1353 0.00 -0.10 0.00 0.03
65 6.1353 0.00 -0.11 0.00 0.04
66 6.1489 0.00 0.16 0.00 -0.11
67 6.1489 0.00 -0.10 0.00 0.12
68 6.1489 0.00 -0.29 0.00 0.17
69 6.1489 0.00 0.20 0.00 -0.08
70 6.1490 0.00 -0.17 0.00 0.10
71 6.1490 0.00 0.10 0.00 -0.03
72 6.1490 0.00 -0.02 0.00 -0.11
73 6.1490 0.00 0.11 0.00 -0.14
74 6.2912 0.00 0.05 0.00 -0.09
75 6.2913 0.00 0.11 0.00 -0.31
76 6.2913 0.00 0.12 0.00 -0.01
77 6.2913 0.00 0.13 0.00 0.08
78 7.0525 0.00 -0.11 0.00 0.42
79 7.1131 0.00 0.07 0.00 -0.04
80 7.1132 0.00 0.02 0.00 0.19
81 7.1132 0.00 -0.11 0.00 -0.06
82 7.1132 0.00 0.12 0.00 -0.20
83 7.3096 0.00 -0.10 0.00 -0.18
84 7.3097 0.00 -0.14 0.00 0.02
85 7.3097 0.00 0.02 0.00 -0.12
86 7.3097 0.00 0.23 0.00 0.29
87 7.9864 0.00 0.37 0.00 0.52
88 7.9864 0.00 0.08 0.00 0.03
89 7.9865 0.00 -0.22 0.00 -0.10
90 7.9865 0.00 -0.06 0.00 -0.02
91 8.0164 0.00 0.00 0.00 0.05
92 8.0165 0.00 0.02 0.00 0.03
93 8.0165 0.00 0.01 0.00 0.00
94 8.0166 0.00 0.11 0.00 -0.00
95 8.0688 0.00 -0.17 0.00 0.11
96 8.0929 0.00 0.10 0.00 -0.01
97 8.0929 0.00 0.03 0.00 -0.02
98 8.0929 0.00 -0.04 0.00 0.09
99 8.0930 0.00 -0.05 0.00 0.03
100 10.9788 0.00 -0.05 0.00 0.10
101 10.9790 0.00 0.13 0.00 0.09
102 10.9791 0.00 0.01 0.00 -0.12
103 11.0691 0.00 -0.06 0.00 -0.02
104 11.0693 0.00 0.03 0.00 0.04
105 11.0694 0.00 0.06 0.00 0.02
106 12.1230 0.00 -0.36 0.00 -0.19
107 12.1230 0.00 -0.08 0.00 0.07
108 12.1231 0.00 -0.04 0.00 -0.09
109 13.0759 0.00 0.14 0.00 -0.04
110 13.0760 0.00 0.15 0.00 -0.11
111 13.0760 0.00 -0.01 0.00 0.09
112 13.0760 0.00 0.14 0.00 -0.16
113 13.9196 0.00 0.10 0.00 0.09
114 13.9197 0.00 -0.09 0.00 -0.22
115 13.9197 0.00 0.16 0.00 -0.05
116 13.9197 0.00 0.07 0.00 -0.00
117 14.0653 0.00 -0.16 0.00 -0.07
118 14.0653 0.00 -0.04 0.00 -0.14
119 14.0653 0.00 -0.05 0.00 -0.02
120 14.1522 0.00 -0.19 0.00 0.17
121 14.1522 0.00 -0.06 0.00 -0.01
122 14.1522 0.00 -0.22 0.00 0.07
123 14.1523 0.00 0.37 0.00 0.09
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.
666184 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 36.802 36.802 36.802 ecceobj 0.030 0.030 0.030 incobj 6.557 6.557 6.557 qmin 35.011 35.054 35.058 qmax 38.399 38.502 38.397 amean 36.637 36.636 36.636 amin 36.349 36.352 36.353 amax 36.939 36.938 36.938 emean 0.016 0.016 0.016 emin 0.000 0.000 0.000 emax 0.041 0.043 0.041 imean 4.844 4.835 4.852 imin 3.671 3.670 3.673 imax 5.915 5.884 5.916 excite_mean 0.086 0.086 0.086 fracstop 1.000 1.000 1.000 cjmean 3.020 3.020 3.020 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 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 180.2 180.9 178.2 kozaiamp 179.9 180.0 180.0