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: 535020 # Created Sun Dec 22 02:07:31 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 120 observations of 120 # Arc: 14.25y # First observation: 2010/09/06 # Last observation: 2024/12/07 # Chi-squared of fit: 86.48 DOF: 234 RMS: 0.15 # Min/Max residuals: -0.61 0.79 # Exact a, adot, b, bdot, g, gdot: 1.428968E-05 2.174915E-02 2.414158E-06 2.636162E-03 2.323951E-02 2.245116E-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 -20.584643 58.926297 0.969989 -0.090495 -0.240893 2455446.125556 # Heliocentric elements and errors Epoch: 2455446.5000 = 2010/09/07 Mean Anomaly: 94.10370 +/- 0.000 Argument of Peri: 183.27134 +/- 0.000 Long of Asc Node: 129.65556 +/- 0.000 Inclination: 21.40678 +/- 0.000 Eccentricity: 0.08284781 +/- 0.0000 Semi-Major Axis: 42.74165984 +/- 0.0000 Time of Perihelion: 2428766.8758 +/- 0.0 Perihelion: 39.20060682 +/- 0.0000 Aphelion: 46.28271286 +/- 0.0000 Period (y) 279.4379 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 21.75891019 +/- 0.0000 Ecliptic Y 34.22109150 +/- 0.0000 Ecliptic Z -15.12890721 +/- 0.0000 Ecliptic XDOT -0.00200989 +/- 0.0000 Ecliptic YDOT 0.00163443 +/- 0.0000 Ecliptic ZDOT 0.00019772 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.28293597 +/- 0.0000 Geocenter to KBO 43.03013285 +/- 0.0000 # Hcoef: 5.73
The following table shows the complete astrometric record for 535020. 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 (535020) followed by the observatory code and reference code for the source of the astrometry.
2010 09 06.62479 04 04 25.453 -00 12 29.30 22.4G 535020 F51 C~2qbZ 2010 11 18.34403 04 00 48.306 -00 43 13.57 22.6G 535020 F51 C~2qbZ 2011 09 12.63364 04 09 08.050 +00 09 06.97 21.4G 535020 F51 C~2qbZ 2011 10 19.56036 04 07 46.137 -00 08 07.25 22.1G 535020 F51 C~2qbZ 2011 11 25.44338 04 05 06.106 -00 20 00.95 22.0w 535020 F51 C~1vXr 2011 11 25.46101 04 05 06.020 -00 20 01.24 22.1w 535020 F51 C~1vXr 2011 11 25.47574 04 05 05.948 -00 20 01.35 21.9w 535020 F51 C~1vXr 2011 11 25.49028 04 05 05.880 -00 20 01.53 21.9w 535020 F51 C~1vXr 2012 10 10.61129 04 13 00.677 +00 19 55.64 22.1G 535020 F51 C~2qbZ 2012 10 10.62275 04 13 00.648 +00 19 55.33 21.4G 535020 F51 C~2qbZ 2012 10 20.55341 04 12 28.002 +00 15 35.86 22.1G 535020 F51 C~2qbZ 2012 12 31.33965 04 07 14.184 +00 04 00.87 22.6G 535020 F51 C~2qbZ 2013 08 31.60298 04 18 36.383 +01 02 16.25 22.0G 535020 F51 C~2qbZ 2013 12 22.40134 04 12 37.914 +00 27 16.57 22.7G 535020 F51 C~2qbZ 2014 01 20.33038 04 11 00.214 +00 33 08.68 22.1G 535020 F51 C~2qbZ 2014 01 21.24204 04 10 58.077 +00 33 27.28 22.3w 535020 F51 C~1vXr 2014 01 21.25491 04 10 58.053 +00 33 27.27 22.1w 535020 F51 C~1vXr 2014 01 21.26788 04 10 58.019 +00 33 27.64 22.2w 535020 F51 C~1vXr 2014 01 21.28093 04 10 57.992 +00 33 27.87 22.0w 535020 F51 C~1vXr 2014 11 21.46663 04 19 48.607 +00 53 58.43 22.0w 535020 F51 C~1vXr 2014 11 21.47881 04 19 48.552 +00 53 58.40 21.9w 535020 F51 C~1vXr 2014 11 21.49097 04 19 48.495 +00 53 58.18 21.9w 535020 F51 C~1vXr 2014 11 21.50308 04 19 48.434 +00 53 58.05 21.8w 535020 F51 C~1vXr 2014 11 23.45779 04 19 39.215 +00 53 33.76 22.1w 535020 F51 C~1vXr 2014 11 23.46993 04 19 39.178 +00 53 33.59 22.0w 535020 F51 C~1vXr 2014 11 23.48209 04 19 39.092 +00 53 33.64 22.2w 535020 F51 C~1vXr 2014 11 23.49427 04 19 39.002 +00 53 33.24 22.2w 535020 F51 C~1vXr 2014 12 01.39249 04 19 01.558 +00 52 14.31 22.1G 535020 F51 C~2qbZ 2014 12 15.33058 04 17 56.630 +00 51 16.41 22.6G 535020 F51 C~2qbZ 2015 01 09.27024 04 16 17.287 +00 54 03.42 22.3w 535020 F51 C~1vXr 2015 01 09.28333 04 16 17.252 +00 54 03.50 22.0w 535020 F51 C~1vXr 2015 01 09.29645 04 16 17.209 +00 54 03.74 21.9w 535020 F51 C~1vXr 2015 01 19.22541 04 15 48.022 +00 56 44.22 22.2w 535020 F51 C~1vXr 2015 01 19.23747 04 15 47.990 +00 56 44.21 22.3w 535020 F51 C~1vXr 2015 01 19.24955 04 15 47.954 +00 56 44.52 22.3w 535020 F51 C~1vXr 2015 01 19.26166 04 15 47.922 +00 56 44.84 22.2w 535020 F51 C~1vXr 2015 10 21.53725 04 26 44.759 +01 27 58.60 22.4G 535020 F51 C~2qbZ 2015 10 21.54916 04 26 44.721 +01 27 58.54 22.7G 535020 F51 C~2qbZ 2015 10 21.56104 04 26 44.681 +01 27 58.12 22.8G 535020 F51 C~2qbZ 2015 10 21.57288 04 26 44.657 +01 27 58.20 22.4G 535020 F51 C~2qbZ 2015 10 22.41870 04 26 41.743 +01 27 37.57 21.9G 535020 F51 C~2qbZ 2015 11 02.57637 04 25 59.412 +01 23 29.68 22.3G 535020 F51 C~2qbZ 2015 11 03.54070 04 25 55.453 +01 23 10.38 21.9G 535020 F51 C~2qbZ 2015 12 03.36620 04 23 39.314 +01 16 09.14 21.0G 535020 F51 C~2qbZ 2015 12 03.37824 04 23 39.213 +01 16 08.97 22.2G 535020 F51 C~2qbZ 2015 12 03.39034 04 23 39.154 +01 16 08.91 21.9G 535020 F51 C~2qbZ 2016 01 01.33304 04 21 31.149 +01 16 31.90 22.3G 535020 F51 C~2qbZ 2016 01 01.34591 04 21 31.103 +01 16 31.99 22.5G 535020 F51 C~2qbZ 2016 01 01.35872 04 21 31.055 +01 16 32.08 22.3G 535020 F51 C~2qbZ 2016 01 01.37159 04 21 31.000 +01 16 32.24 21.9G 535020 F51 C~2qbZ 2016 01 14.36673 04 20 45.957 +01 19 11.86 22.4G 535020 F51 C~2qbZ 2016 01 29.28995 04 20 09.221 +01 23 59.19 22.5G 535020 F51 C~2qbZ 2016 01 29.30180 04 20 09.187 +01 23 59.48 22.3G 535020 F51 C~2qbZ 2016 01 29.31359 04 20 09.186 +01 23 59.82 22.5G 535020 F51 C~2qbZ 2016 01 29.32533 04 20 09.147 +01 24 00.08 21.9G 535020 F51 C~2qbZ 2016 11 01.51083 04 30 44.695 +01 47 31.47 21.9G 535020 F51 C~2qbZ 2016 12 28.37031 04 26 27.638 +01 40 01.83 22.4G 535020 F51 C~2qbZ 2017 01 21.26390 04 25 07.003 +01 45 13.12 21.2G 535020 F51 C~2qbZ 2017 01 21.27567 04 25 06.990 +01 45 13.19 21.2G 535020 F51 C~2qbZ 2017 01 24.24271 04 24 59.774 +01 46 10.72 22.0G 535020 F51 C~2qbZ 2017 01 24.25411 04 24 59.735 +01 46 10.80 22.7G 535020 F51 C~2qbZ 2017 01 24.26553 04 24 59.713 +01 46 11.05 22.4G 535020 F51 C~2qbZ 2017 01 24.27701 04 24 59.687 +01 46 11.41 22.1G 535020 F51 C~2qbZ 2017 09 19.61707 04 37 15.753 +02 28 36.49 22.0G 535020 F51 C~2qbZ 2017 09 19.62559 04 37 15.727 +02 28 36.17 22.8G 535020 F51 C~2qbZ 2017 09 30.58911 04 37 01.946 +02 23 56.15 22.1G 535020 F51 C~2qbZ 2017 09 30.60062 04 37 01.938 +02 23 55.96 22.5G 535020 F51 C~2qbZ 2017 09 30.61213 04 37 01.916 +02 23 55.61 22.6G 535020 F51 C~2qbZ 2017 09 30.62361 04 37 01.906 +02 23 55.40 22.2G 535020 F51 C~2qba 2017 11 17.44878 04 34 19.984 +02 06 46.25 21.8G 535020 F51 C~2qba 2017 11 17.46018 04 34 19.913 +02 06 46.05 22.0G 535020 F51 C~2qba 2017 11 17.47162 04 34 19.877 +02 06 46.13 22.0G 535020 F51 C~2qba 2017 11 17.48310 04 34 19.838 +02 06 46.08 22.0G 535020 F51 C~2qba 2017 12 09.36653 04 32 36.651 +02 03 24.78 22.2G 535020 F51 C~2qba 2017 12 09.37946 04 32 36.593 +02 03 24.89 22.6G 535020 F51 C~2qba 2017 12 09.39232 04 32 36.537 +02 03 24.65 22.2G 535020 F51 C~2qba 2017 12 09.40518 04 32 36.474 +02 03 24.81 22.3G 535020 F51 C~2qba 2017 12 23.31200 04 31 33.009 +02 03 23.23 22.1G 535020 F51 C~2qba 2017 12 23.32334 04 31 32.939 +02 03 23.37 22.3G 535020 F51 C~2qba 2017 12 23.33481 04 31 32.884 +02 03 23.44 22.3G 535020 F51 C~2qba 2017 12 23.34631 04 31 32.844 +02 03 23.49 22.2G 535020 F51 C~2qba 2018 01 06.35498 04 30 36.231 +02 05 07.04 22.5G 535020 F51 C~2qba 2018 01 06.36708 04 30 36.193 +02 05 07.17 22.2G 535020 F51 C~2qba 2018 01 06.37925 04 30 36.165 +02 05 07.46 22.0G 535020 F51 C~2qba 2018 01 06.39131 04 30 36.118 +02 05 07.52 22.4G 535020 F51 C~2qba 2018 01 13.28578 04 30 12.252 +02 06 35.95 22.1G 535020 F51 C~2qba 2018 01 13.28711 04 30 12.244 +02 06 35.93 22.0G 535020 F51 C~2qba 2018 01 13.29895 04 30 12.207 +02 06 36.19 22.6G 535020 F51 C~2qba 2018 01 13.30038 04 30 12.208 +02 06 36.08 22.1G 535020 F51 C~2qba 2018 01 13.31958 04 30 12.148 +02 06 36.08 21.7G 535020 F51 C~2qba 2018 01 13.32702 04 30 12.115 +02 06 36.35 22.0G 535020 F51 C~2qba 2018 01 13.32831 04 30 12.117 +02 06 36.53 22.0G 535020 F51 C~2qba 2018 01 13.33954 04 30 12.062 +02 06 36.72 21.7G 535020 F51 C~2qba 2018 01 13.34083 04 30 12.057 +02 06 36.82 21.9G 535020 F51 C~2qba 2020 10 14.61211 04 50 28.407 +03 28 09.78 22.0w 535020 F51 C~4Ill 2020 10 14.62028 04 50 28.377 +03 28 09.39 22.0w 535020 F51 C~4Ill 2020 10 14.62849 04 50 28.360 +03 28 09.39 22.0w 535020 F51 C~4Ill 2020 10 14.63666 04 50 28.317 +03 28 09.19 22.1w 535020 F51 C~4Ill 2020 11 10.42841 04 48 54.569 +03 19 14.39 21.9w 535020 F51 C~4MX0 2020 11 10.44067 04 48 54.514 +03 19 14.19 22.0w 535020 F51 C~4MX0 2020 11 10.45302 04 48 54.458 +03 19 13.96 22.0w 535020 F51 C~4MX0 2021 01 08.36402 04 44 30.064 +03 16 11.10 22.1w 535020 F51 C~4YAm 2021 01 08.38641 04 44 29.972 +03 16 11.45 22.0w 535020 F51 C~4YAm 2021 01 08.39756 04 44 29.934 +03 16 11.53 22.2w 535020 F51 C~4YAm 2021 11 11.506760 04 53 31.454 +03 42 19.53 22.1w 535020 F51 C~5FaU 2021 11 11.517956 04 53 31.424 +03 42 19.36 22.1w 535020 F51 C~5FaU 2021 11 11.529142 04 53 31.375 +03 42 19.24 22.3w 535020 F51 C~5FaU 2022 09 02.582104 05 00 12.000 +04 29 59.56 22.1w 535020 F51 C~5nxc 2022 09 02.595128 05 00 12.002 +04 29 59.27 22.0w 535020 F51 C~5nxc 2022 09 02.615603 05 00 12.026 +04 29 58.88 22.1w 535020 F51 C~5nxc 2022 09 02.628684 05 00 12.032 +04 29 58.61 22.3w 535020 F51 C~5nxc 2023 12 04.378118 05 01 10.813 +04 24 24.72 22.2w 535020 F52 C~7b1p 2023 12 04.390983 05 01 10.771 +04 24 24.63 22.2w 535020 F52 C~7b1p 2023 12 04.403833 05 01 10.712 +04 24 24.48 21.9w 535020 F52 C~7b1p 2024 09 28.535644 05 09 27.119 +05 05 17.57 22.2w 535020 F51 C~8Lo7 2024 09 28.559316 05 09 27.115 +05 05 17.07 22.2w 535020 F51 C~8Lo7 2024 09 28.571212 05 09 27.096 +05 05 17.01 22.4w 535020 F51 C~8Lo7 2024 12 07.378852 05 05 33.347 +04 46 54.73 22.0w 535020 F51 C~8W9q 2024 12 07.394390 05 05 33.274 +04 46 54.48 21.9w 535020 F51 C~8W9q 2024 12 07.415455 05 05 33.173 +04 46 54.34 21.9w 535020 F51 C~8W9q
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 0.13 0.00 -0.10
2 0.1991 0.00 0.16 0.00 0.01
3 1.0158 0.00 -0.08 0.00 0.13
4 1.1169 0.00 0.09 0.00 0.06
5 1.2178 0.00 0.02 0.00 0.10
6 1.2179 0.00 0.01 0.00 0.00
7 1.2179 0.00 -0.01 0.00 0.06
8 1.2180 0.00 0.03 0.00 0.04
9 2.0944 0.00 -0.10 0.00 -0.22
10 2.0945 0.00 -0.01 0.00 -0.22
11 2.1216 0.00 0.09 0.00 -0.10
12 2.3182 0.00 -0.05 0.00 -0.13
13 2.9842 0.00 -0.15 0.00 0.13
14 3.2930 0.00 -0.20 0.00 -0.07
15 3.3722 0.00 0.12 0.00 -0.17
16 3.3747 0.00 -0.14 0.00 0.18
17 3.3748 0.00 -0.04 0.00 -0.09
18 3.3748 0.00 -0.09 0.00 0.01
19 3.3748 0.00 -0.03 0.00 -0.02
20 4.2076 0.00 -0.05 0.00 -0.09
21 4.2077 0.00 -0.00 0.00 0.04
22 4.2077 0.00 0.01 0.00 -0.03
23 4.2077 0.00 -0.03 0.00 0.00
24 4.2131 0.00 -0.05 0.00 0.05
25 4.2131 0.00 0.27 0.00 0.02
26 4.2132 0.00 -0.14 0.00 0.22
27 4.2132 0.00 -0.61 0.00 -0.04
28 4.2348 0.00 0.10 0.00 -0.22
29 4.2730 0.00 0.22 0.00 0.11
30 4.3413 0.00 -0.19 0.00 0.15
31 4.3413 0.00 -0.05 0.00 0.05
32 4.3413 0.00 -0.04 0.00 0.11
33 4.3685 0.00 -0.10 0.00 0.15
34 4.3685 0.00 -0.10 0.00 -0.08
35 4.3686 0.00 -0.17 0.00 0.00
36 4.3686 0.00 -0.16 0.00 0.10
37 5.1223 0.00 -0.05 0.00 -0.09
38 5.1223 0.00 0.00 0.00 0.13
39 5.1223 0.00 0.03 0.00 -0.00
40 5.1224 0.00 0.29 0.00 0.36
41 5.1247 0.00 0.15 0.00 -0.14
42 5.1552 0.00 -0.01 0.00 -0.13
43 5.1579 0.00 -0.04 0.00 0.24
44 5.2395 0.00 0.61 0.00 0.03
45 5.2396 0.00 -0.04 0.00 -0.05
46 5.2396 0.00 -0.05 0.00 -0.03
47 5.3188 0.00 -0.07 0.00 -0.03
48 5.3189 0.00 0.00 0.00 -0.05
49 5.3189 0.00 0.04 0.00 -0.08
50 5.3190 0.00 -0.02 0.00 -0.03
51 5.3545 0.00 0.07 0.00 -0.04
52 5.3954 0.00 0.10 0.00 -0.08
53 5.3954 0.00 -0.07 0.00 -0.06
54 5.3955 0.00 0.26 0.00 0.01
55 5.3955 0.00 0.01 0.00 0.01
56 6.1544 0.00 0.07 0.00 0.17
57 6.3100 0.00 -0.17 0.00 0.01
58 6.3755 0.00 -0.00 0.00 0.79
59 6.3755 0.00 0.27 0.00 0.63
60 6.3836 0.00 0.15 0.00 0.00
61 6.3837 0.00 -0.03 0.00 -0.15
62 6.3837 0.00 0.05 0.00 -0.13
63 6.3837 0.00 0.07 0.00 -0.00
64 7.0363 0.00 0.10 0.00 -0.11
65 7.0363 0.00 -0.18 0.00 -0.21
66 7.0663 0.00 -0.23 0.00 -0.08
67 7.0663 0.00 -0.04 0.00 0.03
68 7.0664 0.00 -0.05 0.00 -0.03
69 7.0664 0.00 0.11 0.00 0.06
70 7.1973 0.00 0.09 0.00 -0.24
71 7.1974 0.00 -0.18 0.00 -0.27
72 7.1974 0.00 0.08 0.00 -0.03
73 7.1974 0.00 0.30 0.00 0.08
74 7.2573 0.00 -0.03 0.00 -0.04
75 7.2574 0.00 0.03 0.00 0.12
76 7.2574 0.00 0.12 0.00 -0.07
77 7.2574 0.00 0.10 0.00 0.13
78 7.2955 0.00 0.32 0.00 -0.18
79 7.2955 0.00 0.03 0.00 -0.08
80 7.2956 0.00 -0.04 0.00 -0.05
81 7.2956 0.00 0.13 0.00 -0.05
82 7.3340 0.00 -0.15 0.00 -0.01
83 7.3340 0.00 -0.04 0.00 -0.01
84 7.3340 0.00 0.22 0.00 0.15
85 7.3341 0.00 0.20 0.00 0.07
86 7.3529 0.00 -0.08 0.00 0.00
87 7.3529 0.00 -0.14 0.00 -0.04
88 7.3530 0.00 -0.10 0.00 0.05
89 7.3530 0.00 -0.02 0.00 -0.08
90 7.3530 0.00 0.04 0.00 -0.36
91 7.3531 0.00 -0.09 0.00 -0.20
92 7.3531 0.00 0.00 0.00 -0.04
93 7.3531 0.00 -0.26 0.00 -0.01
94 7.3531 0.00 -0.27 0.00 0.07
95 10.1054 0.00 0.07 0.00 0.06
96 10.1054 0.00 -0.05 0.00 -0.15
97 10.1054 0.00 0.03 0.00 0.04
98 10.1054 0.00 -0.29 0.00 0.03
99 10.1788 0.00 -0.02 0.00 -0.05
100 10.1788 0.00 -0.06 0.00 -0.05
101 10.1789 0.00 -0.10 0.00 -0.09
102 10.3401 0.00 0.06 0.00 -0.12
103 10.3402 0.00 -0.04 0.00 -0.02
104 10.3402 0.00 0.03 0.00 -0.07
105 11.1811 0.00 0.06 0.00 0.16
106 11.1811 0.00 0.33 0.00 0.16
107 11.1811 0.00 0.32 0.00 0.22
108 11.9889 0.00 0.13 0.00 0.07
109 11.9890 0.00 -0.07 0.00 0.04
110 11.9890 0.00 -0.08 0.00 0.07
111 11.9891 0.00 -0.23 0.00 0.06
112 13.2423 0.00 -0.19 0.00 -0.03
113 13.2423 0.00 0.11 0.00 -0.05
114 13.2424 0.00 0.15 0.00 -0.12
115 14.0614 0.00 -0.27 0.00 -0.12
116 14.0614 0.00 0.02 0.00 -0.10
117 14.0615 0.00 -0.08 0.00 0.10
118 14.2526 0.00 0.02 0.00 0.16
119 14.2526 0.00 0.05 0.00 -0.02
120 14.2527 0.00 0.07 0.00 -0.07
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.
535020 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 42.941 42.941 42.941 ecceobj 0.083 0.083 0.083 incobj 21.395 21.395 21.395 qmin 38.157 38.155 38.160 qmax 47.313 47.317 47.309 amean 42.625 42.625 42.625 amin 42.271 42.274 42.271 amax 42.992 42.983 42.991 emean 0.086 0.086 0.086 emin 0.072 0.072 0.072 emax 0.102 0.102 0.102 imean 19.933 19.933 19.933 imin 19.454 19.454 19.455 imax 20.417 20.413 20.418 excite_mean 0.352 0.352 0.352 fracstop 1.000 1.000 1.000 cjmean 2.935 2.935 2.935 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 183.2 183.2 183.3 kozaiamp 180.0 180.0 179.9