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: 533206 # Created Sun Nov 24 02:07:25 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 121 observations of 121 # Arc: 22.02y # First observation: 2002/03/12 # Last observation: 2024/03/17 # Chi-squared of fit: 95.96 DOF: 236 RMS: 0.16 # Min/Max residuals: -0.60 0.59 # Exact a, adot, b, bdot, g, gdot: 1.474418E-05 2.182605E-02 1.346907E-06 2.467163E-03 2.331139E-02 -1.345327E-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 -0.618594 158.510744 -0.227821 -0.010526 -0.967319 2452345.729911 # Heliocentric elements and errors Epoch: 2452346.5000 = 2002/03/13 Mean Anomaly: 169.74694 +/- 0.000 Argument of Peri: 184.67501 +/- 0.000 Long of Asc Node: 164.13754 +/- 0.000 Inclination: 6.47688 +/- 0.000 Eccentricity: 0.01047794 +/- 0.0000 Semi-Major Axis: 43.41871407 +/- 0.0000 Time of Perihelion: 2403073.0100 +/- 0.0 Perihelion: 42.96377543 +/- 0.0000 Aphelion: 43.87365272 +/- 0.0000 Period (y) 286.1038 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -40.89607759 +/- 0.0000 Ecliptic Y 15.86093076 +/- 0.0000 Ecliptic Z -0.46306162 +/- 0.0000 Ecliptic XDOT -0.00093568 +/- 0.0000 Ecliptic YDOT -0.00239092 +/- 0.0000 Ecliptic ZDOT 0.00029013 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.86653177 +/- 0.0000 Geocenter to KBO 42.89753383 +/- 0.0000 # Hcoef: 5.91
The following table shows the complete astrometric record for 533206. 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 (533206) followed by the observatory code and reference code for the source of the astrometry.
2002 03 12.229168 10 39 37.52 +07 48 18.1 22.1V 533206 645 C~2hhy 2002 03 12.229997 10 39 37.51 +07 48 18.1 21.8V 533206 645 C~2hhy 2002 03 12.232485 10 39 37.50 +07 48 18.0 22.6V 533206 645 C~2hhy 2011 03 09.48177 11 23 41.475 +04 37 40.80 23.5G 533206 F51 C~2rXz 2011 03 11.34612 11 23 33.399 +04 38 35.03 21.5G 533206 F51 C~2rXz 2011 04 02.30006 11 22 01.151 +04 48 53.11 22.3w 533206 F51 C~1vXG 2011 04 02.31519 11 22 01.086 +04 48 53.41 22.3w 533206 F51 C~1vXG 2011 04 02.33138 11 22 01.031 +04 48 53.85 22.2w 533206 F51 C~1vXG 2011 04 02.34648 11 22 00.966 +04 48 54.32 22.1w 533206 F51 C~1vXG 2012 02 04.66722 11 30 41.993 +04 00 57.22 22.5G 533206 F51 C~2rXz 2012 02 26.54312 11 29 19.248 +04 10 32.77 22.4G 533206 F51 C~2rXz 2012 03 02.47745 11 28 58.493 +04 12 55.21 20.8G 533206 F51 C~2rXz 2012 03 27.34025 11 27 12.156 +04 24 52.95 22.7w 533206 F51 C~1vXG 2012 03 27.35470 11 27 12.089 +04 24 53.32 22.6w 533206 F51 C~1vXG 2012 03 27.36916 11 27 12.022 +04 24 53.71 22.4w 533206 F51 C~1vXG 2013 02 13.57362 11 34 57.188 +03 43 06.31 22.5G 533206 F51 C~2rXz 2013 03 08.45790 11 33 24.129 +03 53 49.99 22.7G 533206 F51 C~2rXz 2013 03 08.48611 11 33 24.025 +03 53 50.60 22.9G 533206 F51 C~2rXz 2013 04 04.36694 11 31 30.790 +04 06 34.00 22.0G 533206 F51 C~2rXz 2013 04 04.38168 11 31 30.720 +04 06 34.31 22.0G 533206 F51 C~2rXz 2013 04 04.39641 11 31 30.687 +04 06 34.61 22.5G 533206 F51 C~2rXz 2013 04 04.41113 11 31 30.614 +04 06 34.96 22.4G 533206 F51 C~2rXz 2013 06 27.27363 11 29 40.509 +04 18 47.07 22.4w 533206 F51 C~1vXG 2013 06 27.27890 11 29 40.526 +04 18 46.72 22.4w 533206 F51 C~1vXG 2013 06 27.28416 11 29 40.546 +04 18 46.77 22.6w 533206 F51 C~1vXG 2014 01 26.58697 11 40 43.987 +03 14 09.46 22.0G 533206 F51 C~2rXz 2014 01 26.59858 11 40 43.954 +03 14 09.65 22.3G 533206 F51 C~2rXz 2014 02 09.57104 11 40 01.658 +03 19 19.72 22.4G 533206 F51 C~2rXz 2014 02 09.58328 11 40 01.635 +03 19 19.89 22.1G 533206 F51 C~2rXz 2014 02 28.40826 11 38 49.559 +03 27 47.06 22.3w 533206 F51 C~1vXG 2014 02 28.42076 11 38 49.500 +03 27 47.41 22.2w 533206 F51 C~1vXG 2014 02 28.43313 11 38 49.450 +03 27 47.91 22.1w 533206 F51 C~1vXG 2014 02 28.44551 11 38 49.399 +03 27 48.23 22.3w 533206 F51 C~1vXG 2014 03 05.49715 11 38 28.186 +03 30 14.87 22.2w 533206 F51 C~1vXG 2014 03 05.50949 11 38 28.127 +03 30 15.11 22.1w 533206 F51 C~1vXG 2014 03 05.52187 11 38 28.090 +03 30 15.32 22.2w 533206 F51 C~1vXG 2014 03 24.35445 11 37 07.328 +03 39 25.59 22.2w 533206 F51 C~1vXG 2014 03 24.36657 11 37 07.302 +03 39 25.78 22.1w 533206 F51 C~1vXG 2014 03 24.37867 11 37 07.220 +03 39 26.00 22.3w 533206 F51 C~1vXG 2014 03 24.39084 11 37 07.176 +03 39 26.60 22.2w 533206 F51 C~1vXG 2014 04 24.30196 11 35 10.689 +03 52 22.05 22.3G 533206 F51 C~2rXz 2014 05 17.38513 11 34 16.939 +03 58 12.39 22.2G 533206 F51 C~2rXz 2014 05 20.28415 11 34 12.935 +03 58 38.44 22.4w 533206 F51 C~1vXG 2014 05 20.29584 11 34 12.902 +03 58 38.75 22.6w 533206 F51 C~1vXG 2014 05 20.30751 11 34 12.895 +03 58 38.63 22.5w 533206 F51 C~1vXG 2014 05 20.31921 11 34 12.882 +03 58 38.78 22.6w 533206 F51 C~1vXG 2014 06 22.28500 11 34 14.664 +03 58 22.49 22.7G 533206 F51 C~2rXz 2014 11 26.64239 11 45 31.829 +02 48 54.24 21.9G 533206 F51 C~2rXz 2014 11 26.64436 11 45 31.829 +02 48 55.01 22.4G 533206 F51 C~2rXz 2014 11 26.64633 11 45 31.841 +02 48 54.87 22.1G 533206 F51 C~2rXz 2014 11 26.64830 11 45 31.849 +02 48 54.86 23.0G 533206 F51 C~2rXz 2015 01 19.53214 11 45 48.345 +02 50 01.42 22.4w 533206 F51 C~1vXG 2015 01 19.54562 11 45 48.352 +02 50 01.16 22.4w 533206 F51 C~1vXG 2015 01 19.55916 11 45 48.296 +02 50 01.58 22.3w 533206 F51 C~1vXG 2015 01 19.57276 11 45 48.271 +02 50 01.99 22.5w 533206 F51 C~1vXG 2015 01 21.56028 11 45 44.222 +02 50 34.12 21.6G 533206 F51 C~2rXz 2015 01 21.57184 11 45 44.180 +02 50 34.30 22.0G 533206 F51 C~2rXz 2015 01 21.58340 11 45 44.169 +02 50 34.69 22.0G 533206 F51 C~2rXz 2015 01 21.59499 11 45 44.157 +02 50 34.75 21.9G 533206 F51 C~2rXz 2015 01 31.53411 11 45 19.612 +02 53 43.08 21.9G 533206 F51 C~2rXz 2015 02 16.45579 11 44 27.578 +03 00 02.07 22.2w 533206 F51 C~1vXG 2015 02 16.46873 11 44 27.527 +03 00 02.55 22.1w 533206 F51 C~1vXG 2015 02 16.48166 11 44 27.474 +03 00 02.74 22.4w 533206 F51 C~1vXG 2015 02 16.49460 11 44 27.424 +03 00 03.12 22.4w 533206 F51 C~1vXG 2015 04 25.27712 11 39 57.646 +03 30 38.41 22.7G 533206 F51 C~2rXz 2015 04 25.29022 11 39 57.611 +03 30 38.58 22.4G 533206 F51 C~2rXz 2015 04 25.30332 11 39 57.553 +03 30 39.00 22.2G 533206 F51 C~2rXz 2015 07 09.27984 11 39 30.793 +03 33 14.97 22.5G 533206 F51 C~2rXz 2016 02 05.49611 11 49 54.557 +02 33 16.22 22.7G 533206 F51 C~2rXz 2016 02 05.50791 11 49 54.528 +02 33 16.62 22.5G 533206 F51 C~2rXz 2016 02 05.51975 11 49 54.485 +02 33 16.75 22.5G 533206 F51 C~2rXz 2016 02 05.53164 11 49 54.437 +02 33 17.07 22.5G 533206 F51 C~2rXz 2016 02 29.46143 11 48 27.852 +02 43 39.39 22.1G 533206 F51 C~2rXz 2016 02 29.46272 11 48 27.829 +02 43 39.34 21.8G 533206 F51 C~2rXz 2016 02 29.47269 11 48 27.792 +02 43 39.38 21.7G 533206 F51 C~2rXz 2016 02 29.47418 11 48 27.781 +02 43 39.32 23.1G 533206 F51 C~2rXz 2016 04 05.40609 11 45 56.293 +03 00 54.25 22.5G 533206 F51 C~2rXz 2017 03 18.29839 11 52 03.915 +02 29 53.87 22.2G 533206 F51 C~2rXz 2017 03 18.31001 11 52 03.882 +02 29 54.27 22.4G 533206 F51 C~2rXz 2017 03 18.32167 11 52 03.812 +02 29 54.89 22.0G 533206 F51 C~2rXz 2017 03 18.33340 11 52 03.769 +02 29 55.05 22.2G 533206 F51 C~2rXz 2017 03 28.45648 11 51 20.462 +02 34 49.30 21.9G 533206 F51 C~2rXz 2017 03 28.46831 11 51 20.410 +02 34 49.53 22.1G 533206 F51 C~2rXz 2017 03 28.48017 11 51 20.371 +02 34 49.83 22.0G 533206 F51 C~2rXz 2017 03 28.49208 11 51 20.330 +02 34 50.10 21.7G 533206 F51 C~2rXz 2017 11 21.62381 11 59 20.897 +01 45 14.19 22.5G 533206 F51 C~2rXz 2017 11 21.62768 11 59 20.936 +01 45 14.18 22.7G 533206 F51 C~2rXz 2017 11 21.63154 11 59 20.940 +01 45 13.84 22.7G 533206 F51 C~2rXz 2017 11 21.63540 11 59 20.955 +01 45 13.97 22.0G 533206 F51 C~2rXz 2017 12 28.62517 12 00 25.991 +01 40 30.82 23.3G 533206 F51 C~2rXz 2017 12 28.62661 12 00 25.986 +01 40 30.99 22.4G 533206 F51 C~2rXz 2017 12 28.63505 12 00 25.997 +01 40 30.90 22.9G 533206 F51 C~2rXz 2017 12 28.64352 12 00 26.006 +01 40 30.94 22.2G 533206 F51 C~2rXz 2017 12 28.65202 12 00 25.979 +01 40 31.15 22.4G 533206 F51 C~2rXz 2018 01 11.63011 12 00 19.995 +01 42 04.09 22.0G 533206 F51 C~2rXz 2018 01 11.63958 12 00 19.979 +01 42 04.22 22.1G 533206 F51 C~2rXz 2018 01 11.64905 12 00 19.975 +01 42 04.70 22.3G 533206 F51 C~2rXz 2018 01 11.65850 12 00 19.970 +01 42 04.51 22.2G 533206 F51 C~2rXz 2018 01 14.60240 12 00 16.587 +01 42 37.56 22.6G 533206 F51 C~2rXz 2018 01 14.61414 12 00 16.573 +01 42 37.42 22.2G 533206 F51 C~2rXz 2018 01 14.62594 12 00 16.549 +01 42 37.59 22.2G 533206 F51 C~2rY0 2018 01 14.63794 12 00 16.533 +01 42 37.78 22.7G 533206 F51 C~2rY0 2018 03 10.40287 11 57 28.987 +02 03 30.59 22.0G 533206 F51 C~2rY0 2018 03 18.36100 11 56 55.015 +02 07 25.17 22.2G 533206 F51 C~2rY0 2018 03 18.37323 11 56 54.973 +02 07 25.45 22.1G 533206 F51 C~2rY0 2018 03 18.38543 11 56 54.907 +02 07 25.92 22.2G 533206 F51 C~2rY0 2018 03 18.39764 11 56 54.858 +02 07 26.16 22.3G 533206 F51 C~2rY0 2018 04 13.30948 11 55 07.195 +02 19 31.60 22.5G 533206 F51 C~2rY0 2018 04 13.32081 11 55 07.190 +02 19 31.73 22.7G 533206 F51 C~2rY0 2018 04 13.33220 11 55 07.129 +02 19 32.11 22.5G 533206 F51 C~2rY0 2018 04 13.34363 11 55 07.085 +02 19 32.50 22.1G 533206 F51 C~2rY0 2021 02 16.576134 12 13 19.146 +00 46 22.13 22.2w 533206 F51 C~4fM7 2021 02 16.588432 12 13 19.098 +00 46 22.51 22.1w 533206 F51 C~4fM7 2021 02 16.600782 12 13 19.059 +00 46 22.73 22.2w 533206 F51 C~4fM7 2021 02 16.613118 12 13 19.012 +00 46 22.80 22.1w 533206 F51 C~4fM7 2023 03 27.429394 12 20 23.590 +00 19 35.42 22.1w 533206 F52 C~6hCB 2023 03 27.442939 12 20 23.517 +00 19 35.66 21.7w 533206 F52 C~6hCB 2023 03 27.469971 12 20 23.397 +00 19 36.58 21.9w 533206 F52 C~6hCB 2024 03 17.476310 12 25 51.862 -00 07 23.07 22.2w 533206 F51 C~7xFu 2024 03 17.490117 12 25 51.770 -00 07 22.48 22.4w 533206 F51 C~7xFu 2024 03 17.503914 12 25 51.733 -00 07 22.26 22.1w 533206 F51 C~7xFu
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 0.04 0.00 0.06
2 0.0000 0.00 -0.06 0.00 0.04
3 0.0000 0.00 -0.05 0.00 -0.13
4 8.9918 0.00 0.01 0.00 -0.07
5 8.9969 0.00 -0.09 0.00 -0.30
6 9.0570 0.00 -0.01 0.00 0.10
7 9.0570 0.00 -0.08 0.00 -0.00
8 9.0571 0.00 0.08 0.00 0.01
9 9.0571 0.00 0.01 0.00 0.09
10 9.9013 0.00 0.30 0.00 0.59
11 9.9612 0.00 -0.03 0.00 -0.05
12 9.9747 0.00 0.30 0.00 0.26
13 10.0427 0.00 0.11 0.00 0.15
14 10.0428 0.00 0.02 0.00 0.12
15 10.0428 0.00 -0.07 0.00 0.11
16 10.9277 0.00 -0.16 0.00 0.30
17 10.9904 0.00 -0.07 0.00 0.20
18 10.9904 0.00 0.23 0.00 -0.02
19 11.0640 0.00 -0.04 0.00 0.16
20 11.0641 0.00 -0.20 0.00 0.08
21 11.0641 0.00 0.19 0.00 -0.00
22 11.0642 0.00 -0.01 0.00 -0.04
23 11.2938 0.00 -0.05 0.00 -0.05
24 11.2938 0.00 0.06 0.00 -0.33
25 11.2938 0.00 0.21 0.00 -0.22
26 11.8778 0.00 -0.01 0.00 -0.19
27 11.8778 0.00 -0.04 0.00 -0.22
28 11.9161 0.00 -0.16 0.00 0.09
29 11.9161 0.00 0.14 0.00 -0.05
30 11.9676 0.00 -0.04 0.00 -0.16
31 11.9677 0.00 -0.13 0.00 -0.17
32 11.9677 0.00 -0.10 0.00 -0.03
33 11.9677 0.00 -0.08 0.00 -0.06
34 11.9816 0.00 -0.11 0.00 0.17
35 11.9816 0.00 -0.19 0.00 0.05
36 11.9816 0.00 0.06 0.00 -0.11
37 12.0332 0.00 -0.08 0.00 0.24
38 12.0332 0.00 0.32 0.00 0.09
39 12.0333 0.00 -0.13 0.00 -0.04
40 12.0333 0.00 0.00 0.00 0.21
41 12.1179 0.00 -0.31 0.00 -0.08
42 12.1811 0.00 -0.46 0.00 -0.05
43 12.1891 0.00 0.09 0.00 0.00
44 12.1891 0.00 -0.17 0.00 0.22
45 12.1891 0.00 -0.04 0.00 0.00
46 12.1892 0.00 0.01 0.00 0.06
47 12.2794 0.00 0.13 0.00 -0.06
48 12.7102 0.00 0.06 0.00 -0.60
49 12.7102 0.00 -0.02 0.00 0.20
50 12.7102 0.00 0.09 0.00 0.09
51 12.7103 0.00 0.14 0.00 0.10
52 12.8578 0.00 -0.13 0.00 0.14
53 12.8578 0.00 0.38 0.00 -0.34
54 12.8579 0.00 -0.04 0.00 -0.13
55 12.8579 0.00 -0.00 0.00 0.07
56 12.8633 0.00 -0.04 0.00 -0.09
57 12.8634 0.00 -0.29 0.00 -0.10
58 12.8634 0.00 -0.08 0.00 0.10
59 12.8634 0.00 0.12 0.00 -0.04
60 12.8906 0.00 0.02 0.00 0.11
61 12.9342 0.00 0.21 0.00 -0.09
62 12.9343 0.00 0.18 0.00 0.05
63 12.9343 0.00 0.11 0.00 -0.10
64 12.9343 0.00 0.09 0.00 -0.06
65 13.1199 0.00 0.11 0.00 -0.04
66 13.1199 0.00 0.21 0.00 -0.14
67 13.1200 0.00 -0.03 0.00 0.02
68 13.3253 0.00 -0.04 0.00 -0.08
69 13.9035 0.00 -0.05 0.00 0.00
70 13.9036 0.00 0.06 0.00 0.14
71 13.9036 0.00 -0.03 0.00 0.00
72 13.9036 0.00 -0.20 0.00 0.05
73 13.9692 0.00 0.22 0.00 -0.09
74 13.9692 0.00 -0.04 0.00 -0.17
75 13.9692 0.00 0.03 0.00 -0.42
76 13.9692 0.00 -0.05 0.00 -0.52
77 14.0676 0.00 -0.08 0.00 -0.08
78 15.0173 0.00 -0.04 0.00 -0.16
79 15.0173 0.00 0.22 0.00 -0.11
80 15.0174 0.00 -0.07 0.00 0.17
81 15.0174 0.00 0.06 0.00 -0.02
82 15.0451 0.00 -0.08 0.00 0.03
83 15.0451 0.00 -0.10 0.00 -0.08
84 15.0452 0.00 0.08 0.00 -0.11
85 15.0452 0.00 0.23 0.00 -0.18
86 15.6972 0.00 -0.25 0.00 0.09
87 15.6972 0.00 0.15 0.00 0.15
88 15.6972 0.00 0.02 0.00 -0.12
89 15.6972 0.00 0.06 0.00 0.08
90 15.7985 0.00 -0.11 0.00 -0.08
91 15.7985 0.00 -0.19 0.00 0.09
92 15.7985 0.00 -0.03 0.00 -0.03
93 15.7985 0.00 0.09 0.00 -0.01
94 15.7986 0.00 -0.33 0.00 0.18
95 15.8368 0.00 -0.14 0.00 0.08
96 15.8369 0.00 -0.22 0.00 0.11
97 15.8369 0.00 -0.12 0.00 0.49
98 15.8369 0.00 -0.04 0.00 0.20
99 15.8450 0.00 0.03 0.00 0.09
100 15.8450 0.00 0.05 0.00 -0.19
101 15.8450 0.00 -0.07 0.00 -0.16
102 15.8451 0.00 -0.06 0.00 -0.12
103 15.9950 0.00 -0.09 0.00 0.22
104 16.0168 0.00 -0.02 0.00 0.01
105 16.0168 0.00 0.15 0.00 -0.08
106 16.0169 0.00 -0.04 0.00 0.03
107 16.0169 0.00 0.03 0.00 -0.09
108 16.0878 0.00 -0.42 0.00 0.22
109 16.0879 0.00 0.17 0.00 0.06
110 16.0879 0.00 -0.07 0.00 0.16
111 16.0879 0.00 -0.06 0.00 0.26
112 18.9359 0.00 0.17 0.00 0.04
113 18.9360 0.00 0.08 0.00 0.12
114 18.9360 0.00 0.13 0.00 0.03
115 18.9360 0.00 0.05 0.00 -0.21
116 21.0409 0.00 0.19 0.00 0.14
117 21.0410 0.00 -0.01 0.00 -0.02
118 21.0410 0.00 -0.04 0.00 0.11
119 22.0157 0.00 0.22 0.00 -0.14
120 22.0158 0.00 -0.27 0.00 0.05
121 22.0158 0.00 0.06 0.00 -0.14
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.
533206 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.125 43.125 43.125 ecceobj 0.017 0.017 0.017 incobj 6.497 6.497 6.497 qmin 41.633 41.632 41.634 qmax 45.080 45.075 45.088 amean 43.288 43.288 43.288 amin 42.959 42.967 42.965 amax 43.626 43.626 43.626 emean 0.020 0.019 0.020 emin 0.003 0.003 0.003 emax 0.034 0.034 0.034 imean 6.393 6.393 6.393 imin 5.677 5.677 5.677 imax 7.111 7.111 7.110 excite_mean 0.113 0.113 0.113 fracstop 1.000 1.000 1.000 cjmean 3.078 3.078 3.078 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 182.6 182.1 182.6 kozaiamp 180.0 180.0 180.0