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: 20CM3
# Created Fri Apr 19 01:18:35 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 118 observations of 118
# Arc: 12.15y
# First observation: 2010/01/06
# Last observation: 2022/03/02
# Chi-squared of fit: 150.47 DOF: 230 RMS: 0.20
# Min/Max residuals: -0.71 0.84
# Exact a, adot, b, bdot, g, gdot:
1.513430E-05 2.309466E-02 1.957606E-06 3.817383E-03 2.280586E-02 -9.256375E-03
# Covariance matrix:
3.2145E-13 -8.4604E-14 3.7613E-14 -1.2327E-14 -1.6994E-14 -2.0459E-13
-8.4604E-14 2.6583E-14 -1.2971E-14 4.2516E-15 1.3986E-14 7.0171E-14
3.7613E-14 -1.2971E-14 1.0440E-13 -1.3615E-14 -7.7897E-15 -3.6294E-14
-1.2327E-14 4.2516E-15 -1.3615E-14 2.2232E-15 2.5587E-15 1.1897E-14
-1.6994E-14 1.3986E-14 -7.7897E-15 2.5587E-15 6.3513E-14 3.9565E-14
-2.0459E-13 7.0171E-14 -3.6294E-14 1.1897E-14 3.9565E-14 1.9633E-13
# lat0 lon0 xBary yBary zBary JD0
5.782504 128.577191 0.378856 0.091860 -0.906954 2455202.930929
# Heliocentric elements and errors
Epoch: 2455202.5000 = 2010/01/06
Mean Anomaly: 337.09564 +/- 0.003
Argument of Peri: 100.46556 +/- 0.003
Long of Asc Node: 97.37002 +/- 0.000
Inclination: 10.99004 +/- 0.000
Eccentricity: 0.51202078 +/- 0.0000
Semi-Major Axis: 71.64209054 +/- 0.0061
Time of Perihelion: 2469294.2974 +/- 26.4
Perihelion: 34.95985114 +/- 0.0039
Aphelion: 108.32432994 +/- 0.0095
Period (y) 606.4019 +/- 0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -27.47234668 +/- 0.0003
Ecliptic Y 35.05044730 +/- 0.0004
Ecliptic Z 4.41789941 +/- 0.0001
Ecliptic XDOT -0.00144634 +/- 0.0000
Ecliptic YDOT -0.00262370 +/- 0.0000
Ecliptic ZDOT 0.00034392 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.75273320 +/- 0.0003
Geocenter to KBO 43.84869318 +/- 0.0005
# Hcoef: 6.60
The following table shows the complete astrometric record for 20CM3. 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 (20CM3) followed by the observatory code and reference code for the source of the astrometry.
2010 01 06.430163 08 50 35.617 +23 41 32.57 22.3G 20CM3 F51 C~4JRL 2010 01 07.650657 08 50 30.293 +23 41 59.54 22.9G 20CM3 F51 C~4JRL 2012 01 26.508709 09 00 55.686 +23 29 27.36 22.2G 20CM3 F51 C~4JRL 2012 01 26.521495 09 00 55.609 +23 29 27.97 22.9G 20CM3 F51 C~4JRL 2012 01 26.546374 09 00 55.510 +23 29 28.68 22.2G 20CM3 F51 C~4JRL 2012 02 13.323800 08 59 29.608 +23 35 47.42 22.5G 20CM3 F51 C~4JRL 2012 02 13.338374 08 59 29.523 +23 35 47.71 22.5G 20CM3 F51 C~4JRL 2012 02 13.352961 08 59 29.478 +23 35 47.60 22.8G 20CM3 F51 C~4JRL 2014 05 18.276742 09 08 38.114 +23 17 42.95 22.8G 20CM3 F51 C~4JRL 2014 05 27.274568 09 09 00.952 +23 15 04.08 22.6G 20CM3 F51 C~4JRL 2014 12 02.515583 09 22 29.861 +22 30 54.66 23.2G 20CM3 F51 C~4JRL 2014 12 26.452066 09 21 35.580 +22 39 16.64 23.2G 20CM3 F51 C~4JRL 2014 12 26.671807 09 21 34.852 +22 39 21.81 21.0G 20CM3 F51 C~4JRL 2014 12 30.659027 09 21 21.285 +22 40 59.03 22.4G 20CM3 F51 C~4JRL 2015 01 17.412407 09 20 09.007 +22 48 32.91 22.9G 20CM3 F51 C~4JRL 2015 01 17.424427 09 20 08.950 +22 48 33.04 22.3G 20CM3 F51 C~4JRL 2015 01 17.436450 09 20 08.897 +22 48 33.42 22.4G 20CM3 F51 C~4JRL 2015 01 17.448516 09 20 08.849 +22 48 33.63 23.0G 20CM3 F51 C~4JRL 2015 01 17.573500 09 20 08.263 +22 48 37.12 22.4G 20CM3 F51 C~4JRL 2015 01 17.585844 09 20 08.202 +22 48 37.52 22.5G 20CM3 F51 C~4JRL 2015 01 17.598194 09 20 08.152 +22 48 37.50 22.6G 20CM3 F51 C~4JRL 2015 01 20.377043 09 19 55.484 +22 49 49.60 23.0G 20CM3 F51 C~4JRL 2015 01 20.389090 09 19 55.419 +22 49 49.86 22.9G 20CM3 F51 C~4JRL 2015 01 20.401145 09 19 55.361 +22 49 50.14 23.0G 20CM3 F51 C~4JRL 2015 01 20.413374 09 19 55.309 +22 49 50.69 22.3G 20CM3 F51 C~4JRL 2015 01 22.397991 09 19 46.083 +22 50 41.90 23.0G 20CM3 F51 C~4JRL 2015 01 22.410150 09 19 46.019 +22 50 41.84 22.9G 20CM3 F51 C~4JRL 2015 01 22.422316 09 19 45.951 +22 50 42.42 22.3G 20CM3 F51 C~4JRL 2015 01 22.434488 09 19 45.916 +22 50 42.82 22.6G 20CM3 F51 C~4JRL 2015 03 14.261492 09 15 51.542 +23 08 02.78 22.6G 20CM3 F51 C~4JRL 2015 03 14.275071 09 15 51.475 +23 08 02.90 22.3G 20CM3 F51 C~4JRL 2015 03 14.289311 09 15 51.426 +23 08 03.33 22.5G 20CM3 F51 C~4JRL 2015 03 14.302250 09 15 51.361 +23 08 02.98 23.0G 20CM3 F51 C~4JRL 2015 03 15.242226 09 15 47.890 +23 08 14.41 22.9G 20CM3 F51 C~4JRL 2015 03 15.255381 09 15 47.829 +23 08 14.46 22.6G 20CM3 F51 C~4JRL 2015 03 15.268170 09 15 47.785 +23 08 14.55 22.4G 20CM3 F51 C~4JRL 2015 03 15.280947 09 15 47.740 +23 08 14.92 22.7G 20CM3 F51 C~4JRL 2016 01 07.634388 09 27 13.417 +22 29 17.12 22.3G 20CM3 F51 C~4JRL 2016 01 08.414209 09 27 10.334 +22 29 37.91 22.1G 20CM3 F51 C~4JRL 2016 01 08.428731 09 27 10.292 +22 29 38.36 22.3G 20CM3 F51 C~4JRL 2016 01 31.364419 09 25 26.945 +22 39 44.58 22.8G 20CM3 F51 C~4JRL 2016 01 31.379321 09 25 26.879 +22 39 45.09 23.1G 20CM3 F51 C~4JRL 2016 01 31.394155 09 25 26.798 +22 39 45.47 23.3G 20CM3 F51 C~4JRL 2016 01 31.408991 09 25 26.760 +22 39 45.94 22.8G 20CM3 F51 C~4JRL 2016 02 03.377061 09 25 12.217 +22 41 01.42 22.7G 20CM3 F51 C~4JRL 2016 02 03.389772 09 25 12.171 +22 41 01.69 23.5G 20CM3 F51 C~4JRL 2016 02 03.401981 09 25 12.157 +22 41 02.38 22.0G 20CM3 F51 C~4JRL 2016 02 27.458105 09 23 15.830 +22 50 02.99 22.6G 20CM3 F51 C~4JRL 2016 03 03.327124 09 22 53.999 +22 51 31.20 22.4G 20CM3 F51 C~4JRL 2016 12 23.613280 09 34 28.511 +22 07 02.04 23.3G 20CM3 F51 C~4JRL 2016 12 23.625823 09 34 28.490 +22 07 02.21 23.1G 20CM3 F51 C~4JRL 2016 12 23.638439 09 34 28.471 +22 07 02.62 22.2G 20CM3 F51 C~4JRL 2016 12 23.651103 09 34 28.400 +22 07 03.58 23.4G 20CM3 F51 C~4JRL 2017 01 21.615090 09 32 37.639 +22 19 50.20 22.9G 20CM3 F51 C~4JRL 2017 01 25.431865 09 32 19.886 +22 21 34.41 22.3G 20CM3 F51 C~4JRL 2017 02 02.387544 09 31 41.591 +22 25 07.65 21.2G 20CM3 F51 C~4JRL 2017 02 02.388662 09 31 41.529 +22 25 07.52 21.7G 20CM3 F51 C~4JRL 2017 02 04.522529 09 31 31.092 +22 26 03.16 23.2G 20CM3 F51 C~4JRL 2017 02 04.535057 09 31 31.025 +22 26 03.08 22.4G 20CM3 F51 C~4JRL 2017 02 04.547544 09 31 30.964 +22 26 03.58 22.2G 20CM3 F51 C~4JRL 2017 02 04.560076 09 31 30.891 +22 26 04.02 22.2G 20CM3 F51 C~4JRL 2017 02 05.610873 09 31 25.726 +22 26 30.77 22.4G 20CM3 F51 C~4JRL 2017 02 22.333130 09 30 03.884 +22 33 08.28 23.4G 20CM3 F51 C~4JRL 2017 02 22.346793 09 30 03.857 +22 33 09.47 22.6G 20CM3 F51 C~4JRL 2017 02 22.360675 09 30 03.807 +22 33 09.95 22.6G 20CM3 F51 C~4JRL 2017 11 20.611166 09 41 37.928 +21 39 13.26 22.4G 20CM3 F51 C~4JRL 2018 02 12.353137 09 37 27.218 +22 12 20.01 23.3G 20CM3 F51 C~4JRL 2018 02 12.366394 09 37 27.156 +22 12 20.41 23.0G 20CM3 F51 C~4JRL 2018 02 12.379728 09 37 27.099 +22 12 20.75 22.6G 20CM3 F51 C~4JRL 2018 02 12.393334 09 37 27.027 +22 12 20.90 22.7G 20CM3 F51 C~4JRL 2018 03 08.308598 09 35 33.594 +22 20 59.62 22.4G 20CM3 F51 C~4JRL 2018 03 18.273072 09 34 52.713 +22 23 30.78 22.0G 20CM3 F51 C~4JRL 2019 01 06.657264 09 46 52.271 +21 36 46.00 23.2G 20CM3 F51 C~4JRL 2019 02 04.409485 09 44 46.454 +21 50 26.96 22.5G 20CM3 F51 C~4JRL 2019 11 09.628734 09 54 26.194 +20 59 11.08 22.7G 20CM3 F51 C~4JRL 2019 11 09.632634 09 54 26.181 +20 59 10.89 22.6G 20CM3 F51 C~4JRL 2019 11 09.636530 09 54 26.185 +20 59 11.05 22.4G 20CM3 F51 C~4JRL 2019 11 09.640424 09 54 26.213 +20 59 11.00 22.3G 20CM3 F51 C~4JRL 2019 12 24.484807 09 54 14.401 +21 10 50.15 22.6G 20CM3 F51 C~4JRL 2019 12 24.496549 09 54 14.388 +21 10 50.01 22.7G 20CM3 F51 C~4JRL 2019 12 24.508428 09 54 14.368 +21 10 50.22 23.0G 20CM3 F51 C~4JRL 2019 12 27.479838 09 54 06.711 +21 12 05.79 22.2G 20CM3 F51 C~4JRL 2020 01 18.431625 09 52 49.513 +21 22 21.90 22.5G 20CM3 F51 C~4JRL 2020 01 26.526690 09 52 13.726 +21 26 21.94 21.9G 20CM3 F51 C~4JRL 2020 01 26.542127 09 52 13.639 +21 26 22.15 22.8G 20CM3 F51 C~4JRL 2020 01 26.556222 09 52 13.579 +21 26 22.61 22.8G 20CM3 F51 C~4JRL 2020 01 26.570328 09 52 13.512 +21 26 23.04 22.1G 20CM3 F51 C~4JRL 2020 01 27.538376 09 52 09.052 +21 26 51.83 22.3G 20CM3 F51 C~4JRL 2020 01 27.550839 09 52 08.972 +21 26 52.02 22.7G 20CM3 F51 C~4JRL 2020 01 27.563260 09 52 08.874 +21 26 52.75 23.2G 20CM3 F51 C~4JRL 2020 01 27.575693 09 52 08.863 +21 26 52.98 23.8G 20CM3 F51 C~4JRL 2020 02 02.29223 09 51 41.83 +21 29 40.4 20CM3 G37 C~3qVE 2020 02 02.32536 09 51 41.67 +21 29 41.5 20CM3 G37 C~3qVE 2020 02 02.35339 09 51 41.53 +21 29 42.3 20CM3 G37 C~3qVE 2020 02 02.37994 09 51 41.40 +21 29 43.0 20CM3 G37 C~3qVE 2020 02 02.40819 09 51 41.26 +21 29 43.8 20CM3 G37 C~3qVE 2020 02 14.19850 09 50 43.28 +21 35 15.6 22.3R 20CM3 G37 C~3qVE 2020 02 14.23069 09 50 43.12 +21 35 16.5 22.4R 20CM3 G37 C~3qVE 2020 02 14.29681 09 50 42.79 +21 35 18.3 22.4R 20CM3 G37 C~3qVE 2020 02 14.32443 09 50 42.65 +21 35 19.0 22.4R 20CM3 G37 C~3qVE 2020 02 14.34454 09 50 42.54 +21 35 19.5 22.3R 20CM3 G37 C~3qVE 2020 02 14.36464 09 50 42.44 +21 35 20.1 22.3R 20CM3 G37 C~3qVE 2020 02 14.38540 09 50 42.34 +21 35 20.7 22.1R 20CM3 G37 C~3qVE 2020 02 14.40519 09 50 42.24 +21 35 21.2 22.3R 20CM3 G37 C~3qVE 2020 02 14.42503 09 50 42.14 +21 35 21.8 22.4R 20CM3 G37 C~3qVE 2020 02 18.17323 09 50 23.50 +21 37 00.9 22.3R 20CM3 G37 C~3qVE 2020 02 18.22360 09 50 23.25 +21 37 02.2 22.2R 20CM3 G37 C~3qVE 2020 03 02.18295 09 49 20.02 +21 42 12.5 20CM3 G37 C~3qVE 2020 03 02.27138 09 49 19.59 +21 42 14.4 20CM3 G37 C~3qVE 2020 03 23.435454 09 47 49.348 +21 48 16.26 23.2G 20CM3 F51 C~4JRL 2020 04 18.356002 09 46 39.699 +21 50 34.35 22.3G 20CM3 F51 C~4JRL 2020 10 17.45462 09 59 50.74 +20 39 04.4 20CM3 G37 C~4JRL 2020 10 17.48362 09 59 50.86 +20 39 04.2 20CM3 G37 C~4JRL 2020 10 20.46642 10 00 03.05 +20 38 40.5 20CM3 G37 C~4JRL 2020 10 23.629477 10 00 15.142 +20 38 20.70 23.3G 20CM3 F51 C~4JRL 2022 03 02.233840 10 03 04.789 +20 59 28.80 22.5G 20CM3 G37 C~5SJI 2022 03 02.290120 10 03 04.510 +20 59 29.97 20CM3 G37 C~5SJI 2022 03 02.344100 10 03 04.238 +20 59 31.02 20CM3 G37 C~5SJI
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 0.23 0.00 0.09
2 0.0033 0.00 -0.21 0.00 -0.01
3 2.0536 0.00 -0.04 0.00 -0.16
4 2.0536 0.00 -0.25 0.00 0.16
5 2.0537 0.00 0.09 0.00 0.30
6 2.1024 0.00 0.07 0.00 0.16
7 2.1024 0.00 -0.15 0.00 0.17
8 2.1025 0.00 0.24 0.00 -0.23
9 4.3610 0.00 0.14 0.00 -0.03
10 4.3856 0.00 0.20 0.00 0.33
11 4.9037 0.00 0.16 0.00 -0.26
12 4.9693 0.00 -0.12 0.00 0.02
13 4.9699 0.00 -0.01 0.00 -0.08
14 4.9808 0.00 0.60 0.00 -0.07
15 5.0294 0.00 0.04 0.00 0.10
16 5.0294 0.00 0.01 0.00 -0.09
17 5.0294 0.00 0.04 0.00 -0.02
18 5.0295 0.00 0.15 0.00 -0.13
19 5.0298 0.00 -0.02 0.00 0.13
20 5.0299 0.00 -0.08 0.00 0.21
21 5.0299 0.00 0.02 0.00 -0.13
22 5.0375 0.00 0.11 0.00 0.01
23 5.0375 0.00 -0.02 0.00 -0.04
24 5.0376 0.00 -0.04 0.00 -0.08
25 5.0376 0.00 0.04 0.00 0.15
26 5.0430 0.00 0.06 0.00 0.17
27 5.0431 0.00 -0.03 0.00 -0.20
28 5.0431 0.00 -0.18 0.00 0.06
29 5.0431 0.00 0.16 0.00 0.14
30 5.1823 0.00 0.02 0.00 -0.01
31 5.1823 0.00 -0.20 0.00 -0.06
32 5.1824 0.00 -0.12 0.00 0.19
33 5.1824 0.00 -0.35 0.00 -0.32
34 5.1850 0.00 -0.04 0.00 -0.07
35 5.1850 0.00 -0.21 0.00 -0.17
36 5.1850 0.00 -0.15 0.00 -0.24
37 5.1851 0.00 -0.10 0.00 -0.02
38 6.0019 0.00 -0.28 0.00 -0.26
39 6.0041 0.00 -0.31 0.00 0.05
40 6.0041 0.00 -0.05 0.00 0.12
41 6.0669 0.00 -0.13 0.00 -0.11
42 6.0669 0.00 -0.02 0.00 0.02
43 6.0670 0.00 -0.14 0.00 0.01
44 6.0670 0.00 0.39 0.00 0.10
45 6.0751 0.00 -0.57 0.00 -0.18
46 6.0752 0.00 -0.31 0.00 -0.23
47 6.0752 0.00 0.40 0.00 0.15
48 6.1411 0.00 -0.32 0.00 -0.33
49 6.1544 0.00 0.05 0.00 -0.07
50 6.9629 0.00 0.05 0.00 -0.13
51 6.9629 0.00 0.29 0.00 -0.26
52 6.9629 0.00 0.56 0.00 -0.16
53 6.9630 0.00 0.05 0.00 0.50
54 7.0423 0.00 -0.02 0.00 -0.05
55 7.0527 0.00 0.08 0.00 -0.00
56 7.0745 0.00 0.25 0.00 0.30
57 7.0745 0.00 -0.60 0.00 0.14
58 7.0803 0.00 -0.02 0.00 0.12
59 7.0804 0.00 -0.09 0.00 -0.28
60 7.0804 0.00 -0.07 0.00 -0.10
61 7.0804 0.00 -0.22 0.00 0.02
62 7.0833 0.00 -0.11 0.00 -0.32
63 7.1291 0.00 -0.02 0.00 -0.24
64 7.1291 0.00 0.57 0.00 0.66
65 7.1292 0.00 0.83 0.00 0.84
66 7.8718 0.00 -0.27 0.00 -0.08
67 8.1011 0.00 -0.15 0.00 -0.05
68 8.1011 0.00 -0.07 0.00 0.01
69 8.1012 0.00 0.08 0.00 0.01
70 8.1012 0.00 0.03 0.00 -0.19
71 8.1667 0.00 0.16 0.00 -0.06
72 8.1940 0.00 -0.35 0.00 -0.23
73 8.9999 0.00 0.05 0.00 -0.19
74 9.0787 0.00 0.03 0.00 -0.03
75 9.8404 0.00 0.21 0.00 0.03
76 9.8404 0.00 -0.10 0.00 -0.18
77 9.8404 0.00 -0.15 0.00 -0.04
78 9.8404 0.00 0.16 0.00 -0.11
79 9.9632 0.00 -0.30 0.00 0.41
80 9.9632 0.00 -0.05 0.00 -0.02
81 9.9633 0.00 0.09 0.00 -0.11
82 9.9714 0.00 -0.32 0.00 0.07
83 10.0315 0.00 -0.12 0.00 -0.16
84 10.0537 0.00 0.21 0.00 0.13
85 10.0537 0.00 -0.01 0.00 -0.12
86 10.0537 0.00 0.08 0.00 -0.07
87 10.0538 0.00 0.06 0.00 -0.06
88 10.0564 0.00 0.20 0.00 0.11
89 10.0565 0.00 -0.12 0.00 -0.07
90 10.0565 0.00 -0.71 0.00 0.29
91 10.0565 0.00 0.01 0.00 0.16
92 10.0722 0.00 0.04 0.00 -0.07
93 10.0723 0.00 0.08 0.00 0.06
94 10.0723 0.00 0.03 0.00 0.05
95 10.0724 0.00 0.03 0.00 -0.02
96 10.0725 0.00 0.01 0.00 -0.04
97 10.1048 0.00 -0.01 0.00 0.02
98 10.1049 0.00 0.02 0.00 0.04
99 10.1050 0.00 0.08 0.00 0.05
100 10.1051 0.00 0.08 0.00 -0.00
101 10.1052 0.00 -0.04 0.00 -0.04
102 10.1052 0.00 -0.02 0.00 0.02
103 10.1053 0.00 0.05 0.00 0.06
104 10.1053 0.00 0.05 0.00 0.03
105 10.1054 0.00 0.06 0.00 0.10
106 10.1157 0.00 0.03 0.00 -0.03
107 10.1158 0.00 0.08 0.00 -0.05
108 10.1513 0.00 -0.07 0.00 -0.13
109 10.1515 0.00 -0.14 0.00 -0.16
110 10.2095 0.00 0.19 0.00 -0.15
111 10.2804 0.00 0.08 0.00 0.17
112 10.7790 0.00 0.00 0.00 0.14
113 10.7791 0.00 -0.02 0.00 0.18
114 10.7872 0.00 0.12 0.00 0.11
115 10.7959 0.00 0.00 0.00 0.02
116 12.1500 0.00 0.15 0.00 0.14
117 12.1502 0.00 0.13 0.00 -0.04
118 12.1503 0.00 0.05 0.00 -0.28
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.
20CM3 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 72.043 72.042 72.044 ecceobj 0.512 0.512 0.512 incobj 10.964 10.964 10.964 qmin 34.429 34.099 34.228 qmax 111.983 112.626 112.784 amean 71.891 72.117 72.138 amin 69.634 70.502 70.830 amax 73.765 73.853 73.843 emean 0.507 0.512 0.511 emin 0.487 0.494 0.498 emax 0.523 0.528 0.527 imean 10.429 10.029 9.898 imin 9.402 9.132 8.955 imax 11.239 10.840 10.806 excite_mean 0.538 0.541 0.540 fracstop 1.000 1.000 1.000 cjmean 3.039 3.036 3.038 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 180.9 175.9 177.3 kozaiamp 179.9 180.0 179.9