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: 612951
# Created Sun Dec 22 02:07:48 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 122 observations of 122
# Arc: 14.24y
# First observation: 2003/12/21
# Last observation: 2018/03/18
# Chi-squared of fit: 105.85 DOF: 238 RMS: 0.16
# Min/Max residuals: -0.59 0.94
# Exact a, adot, b, bdot, g, gdot:
2.241309E-05 5.857916E-02 6.044778E-07 -6.653754E-04 3.907684E-02 -5.760847E-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
0.307297 148.296875 0.844630 0.002733 -0.498911 2452994.923071
# Heliocentric elements and errors
Epoch: 2452994.5000 = 2003/12/21
Mean Anomaly: 353.94576 +/- 0.000
Argument of Peri: 176.76543 +/- 0.000
Long of Asc Node: 351.62490 +/- 0.000
Inclination: 0.70796 +/- 0.000
Eccentricity: 0.51845422 +/- 0.0000
Semi-Major Axis: 52.87441404 +/- 0.0000
Time of Perihelion: 2455356.1945 +/- 0.0
Perihelion: 25.46145089 +/- 0.0000
Aphelion: 80.28737720 +/- 0.0000
Period (y) 384.4825 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -21.75600942 +/- 0.0000
Ecliptic Y 14.43133958 +/- 0.0000
Ecliptic Z 0.13726842 +/- 0.0000
Ecliptic XDOT -0.00181795 +/- 0.0000
Ecliptic YDOT -0.00371010 +/- 0.0000
Ecliptic ZDOT -0.00004863 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 26.10767066 +/- 0.0000
Geocenter to KBO 25.59069422 +/- 0.0000
# Hcoef: 8.42
The following table shows the complete astrometric record for 612951. 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 (612951) followed by the observatory code and reference code for the source of the astrometry.
2003 12 21.422328 10 02 16.29 +12 21 15.6 21.6V 612951 645 C~1SKz 2003 12 21.423158 10 02 16.29 +12 21 15.6 22.2V 612951 645 C~1SKz 2003 12 21.425645 10 02 16.28 +12 21 15.6 23.8V 612951 645 C~1SKz 2003 12 25.428404 10 02 05.07 +12 22 17.4 22.0V 612951 645 C~2JxC 2003 12 25.429233 10 02 05.08 +12 22 17.6 21.7V 612951 645 C~2JxC 2003 12 25.431721 10 02 05.06 +12 22 17.4 23.0V 612951 645 C~2JxC 2005 03 11.21141 10 07 34.73 +11 49 34.9 22.3R 612951 695 Cn0310 2005 03 11.27561 10 07 34.32 +11 49 37.1 612951 695 Cn0310 2005 03 12.28074 10 07 27.90 +11 50 11.6 612951 695 Cn0310 2005 04 12.18642 10 04 52.96 +12 03 54.9 22.2R 612951 695 Cn3133 2005 04 12.25321 10 04 52.74 +12 03 56.2 612951 695 Cn3133 2005 04 13.19754 10 04 49.66 +12 04 12.1 612951 695 Cn3133 2005 06 06.97769 10 05 24.13 +12 00 08.6 22.1R 612951 304 Cn6541 2005 06 07.01891 10 05 24.33 +12 00 07.6 612951 304 Cn6541 2005 12 01.40876 10 28 04.86 +09 51 06.3 22.0R 612951 695 Cp9906 2005 12 01.45052 10 28 04.92 +09 51 05.9 612951 695 Cp9906 2005 12 02.42200 10 28 06.20 +09 50 58.6 612951 695 Cp9906 2006 04 27.02594 10 17 14.90 +10 52 25.4 20.7R 612951 807 Cr3594 2006 04 27.14349 10 17 14.69 +10 52 26.5 612951 807 Cr3594 2006 04 28.02829 10 17 13.13 +10 52 34.9 612951 807 Cr3594 2008 04 04.20179 10 44 46.70 +08 06 09.3 21.8R 612951 688 Cy5742 2008 04 04.29867 10 44 46.13 +08 06 11.9 612951 688 Cy5742 2011 03 09.49288 11 27 06.479 +03 33 22.24 22.6G 612951 F51 C~2r7F 2011 03 11.35844 11 26 53.798 +03 34 42.22 20.3G 612951 F51 C~2r7F 2011 04 02.30072 11 24 28.997 +03 49 59.34 22.9G 612951 F51 C~2r7F 2011 04 02.31584 11 24 28.897 +03 49 59.88 22.7G 612951 F51 C~2r7F 2011 04 02.33204 11 24 28.779 +03 50 00.68 22.9G 612951 F51 C~2r7F 2011 04 02.34713 11 24 28.704 +03 50 01.28 22.6G 612951 F51 C~2r7F 2012 02 26.53506 11 41 25.766 +01 58 14.90 21.6G 612951 F51 C~2r7F 2012 03 20.37272 11 38 53.698 +02 14 27.83 22.2G 612951 F51 C~2r7F 2012 03 20.38736 11 38 53.597 +02 14 28.29 22.4G 612951 F51 C~2r7F 2012 03 20.40197 11 38 53.489 +02 14 29.10 22.1G 612951 F51 C~2r7F 2012 03 20.41658 11 38 53.375 +02 14 29.68 21.6G 612951 F51 C~2r7F 2012 03 29.30965 11 37 54.52 +02 20 46.6 22.8R 612951 688 C~0fDi 2012 03 29.35531 11 37 54.20 +02 20 49.1 612951 688 C~0fDi 2013 03 08.44845 11 53 17.088 +00 38 21.65 22.1G 612951 F51 C~2r7F 2013 03 08.46254 11 53 17.000 +00 38 22.28 22.0G 612951 F51 C~2r7F 2013 03 08.47663 11 53 16.893 +00 38 22.88 22.2G 612951 F51 C~2r7F 2013 03 08.49077 11 53 16.806 +00 38 23.46 22.5G 612951 F51 C~2r7F 2013 04 04.37160 11 50 18.378 +00 57 31.15 20.7G 612951 F51 C~2r7F 2013 04 04.41577 11 50 18.040 +00 57 32.48 19.6G 612951 F51 C~2r7F 2013 04 05.33664 11 50 12.253 +00 58 09.88 22.8G 612951 F51 C~2r7F 2013 04 05.35099 11 50 12.151 +00 58 10.56 22.3G 612951 F51 C~2r7F 2013 04 05.36535 11 50 12.068 +00 58 11.04 22.6G 612951 F51 C~2r7F 2013 04 05.37979 11 50 11.975 +00 58 11.59 22.5G 612951 F51 C~2r7F 2014 02 10.48899 12 08 40.245 -01 04 14.13 22.2G 612951 F51 C~2r7F 2014 03 24.43149 12 04 28.244 -00 37 20.50 21.2G 612951 F51 C~2r7F 2014 04 23.33168 12 01 22.941 -00 17 26.61 23.0G 612951 F51 C~2r7F 2014 04 29.26420 12 00 53.042 -00 14 13.52 22.8G 612951 F51 C~2r7F 2014 04 29.27607 12 00 52.995 -00 14 13.08 22.7G 612951 F51 C~2r7F 2014 04 29.28799 12 00 52.936 -00 14 12.84 22.8G 612951 F51 C~2r7F 2014 05 24.26873 11 59 28.280 -00 05 07.19 22.7G 612951 F51 C~2r7F 2014 05 24.28202 11 59 28.266 -00 05 06.92 22.9G 612951 F51 C~2r7F 2014 05 24.29528 11 59 28.211 -00 05 07.03 22.7G 612951 F51 C~2r7F 2014 05 24.30856 11 59 28.182 -00 05 06.70 22.4G 612951 F51 C~2r7F 2014 05 25.32905 11 59 26.350 -00 04 54.84 22.5G 612951 F51 C~2r7F 2014 05 25.34047 11 59 26.321 -00 04 54.72 21.8G 612951 F51 C~2r7F 2014 05 25.35191 11 59 26.304 -00 04 54.63 22.4G 612951 F51 C~2r7F 2014 05 25.36338 11 59 26.274 -00 04 54.52 22.6G 612951 F51 C~2r7F 2014 11 29.62635 12 20 21.298 -02 21 44.12 22.9G 612951 F51 C~2r7F 2015 02 16.50912 12 20 56.148 -02 26 33.68 23.6G 612951 F51 C~2r7F 2015 02 16.52180 12 20 56.102 -02 26 33.62 22.7G 612951 F51 C~2r7F 2015 02 16.53447 12 20 56.031 -02 26 33.22 22.4G 612951 F51 C~2r7F 2015 02 16.54718 12 20 55.968 -02 26 32.78 22.3G 612951 F51 C~2r7F 2015 02 27.54962 12 19 58.098 -02 20 26.19 22.3G 612951 F51 C~2r7F 2015 02 27.56218 12 19 58.029 -02 20 25.72 22.6G 612951 F51 C~2r7F 2015 02 27.57468 12 19 57.945 -02 20 25.50 22.7G 612951 F51 C~2r7F 2015 02 27.58721 12 19 57.886 -02 20 24.89 22.5G 612951 F51 C~2r7F 2015 03 30.42569 12 16 40.358 -01 59 23.12 22.5G 612951 F51 C~2r7F 2015 04 13.41519 12 15 09.833 -01 49 41.36 22.4G 612951 F51 C~2r7F 2016 01 08.65049 12 34 47.359 -03 57 47.93 22.4G 612951 F51 C~2r7F 2016 02 03.57036 12 34 19.831 -03 55 15.92 22.4G 612951 F51 C~2r7F 2016 02 03.58220 12 34 19.804 -03 55 15.91 22.4G 612951 F51 C~2r7F 2016 02 03.59406 12 34 19.775 -03 55 15.50 22.4G 612951 F51 C~2r7F 2016 02 03.60623 12 34 19.740 -03 55 15.27 22.2G 612951 F51 C~2r7F 2016 02 10.52587 12 33 57.010 -03 52 55.53 22.4G 612951 F51 C~2r7F 2016 02 10.53881 12 33 56.960 -03 52 55.59 22.6G 612951 F51 C~2r7F 2016 02 10.55179 12 33 56.908 -03 52 54.95 22.5G 612951 F51 C~2r7F 2016 02 10.56478 12 33 56.855 -03 52 54.74 22.4G 612951 F51 C~2r7F 2016 03 01.48392 12 32 22.336 -03 43 04.77 22.0G 612951 F51 C~2r7F 2016 03 13.43112 12 31 10.340 -03 35 30.60 22.2G 612951 F51 C~2r7F 2016 03 13.44618 12 31 10.252 -03 35 29.97 22.2G 612951 F51 C~2r7F 2016 03 13.46123 12 31 10.156 -03 35 29.42 22.2G 612951 F51 C~2r7F 2016 03 13.47629 12 31 10.053 -03 35 28.78 22.3G 612951 F51 C~2r7F 2016 04 01.36683 12 29 05.890 -03 22 20.53 22.1G 612951 F51 C~2r7F 2016 04 01.37914 12 29 05.810 -03 22 20.10 22.0G 612951 F51 C~2r7F 2016 04 01.39144 12 29 05.721 -03 22 19.45 22.3G 612951 F51 C~2r7F 2016 04 01.40377 12 29 05.636 -03 22 19.00 22.0G 612951 F51 C~2r7F 2016 04 02.37061 12 28 59.239 -03 21 37.93 22.2G 612951 F51 C~2r7F 2016 04 02.38227 12 28 59.154 -03 21 37.84 22.2G 612951 F51 C~2r7F 2016 04 02.39396 12 28 59.072 -03 21 37.26 22.5G 612951 F51 C~2r7F 2016 04 02.40564 12 28 58.990 -03 21 36.63 22.4G 612951 F51 C~2r7F 2016 04 10.35024 12 28 07.013 -03 16 05.24 22.6G 612951 F51 C~2r7F 2016 04 10.36314 12 28 06.924 -03 16 04.58 22.6G 612951 F51 C~2r7F 2016 04 10.37612 12 28 06.847 -03 16 03.99 22.6G 612951 F51 C~2r7F 2016 04 10.45096 12 28 06.338 -03 16 01.19 22.8G 612951 F51 C~2r7F 2016 04 10.46425 12 28 06.267 -03 16 00.50 22.7G 612951 F51 C~2r7F 2016 04 10.47750 12 28 06.166 -03 15 59.90 23.0G 612951 F51 C~2r7F 2016 04 10.49065 12 28 06.080 -03 15 59.40 22.0G 612951 F51 C~2r7F 2016 05 04.35773 12 25 48.895 -03 01 20.75 22.7G 612951 F51 C~2r7F 2017 01 26.61965 12 46 55.047 -05 17 46.96 22.8G 612951 F51 C~2r7F 2017 02 21.55212 12 45 34.242 -05 09 40.35 22.9G 612951 F51 C~2r7F 2017 03 19.38929 12 43 08.091 -04 54 32.97 22.6G 612951 F51 C~2r7F 2017 03 27.45648 12 42 15.420 -04 49 03.27 22.4G 612951 F51 C~2r7F 2017 03 27.46889 12 42 15.332 -04 49 02.77 22.8G 612951 F51 C~2r7F 2017 03 27.48133 12 42 15.246 -04 49 02.25 22.5G 612951 F51 C~2r7F 2017 03 27.49372 12 42 15.158 -04 49 01.64 22.6G 612951 F51 C~2r7F 2017 04 20.32071 12 39 40.388 -04 32 45.72 22.6G 612951 F51 C~2r7F 2017 04 20.33308 12 39 40.311 -04 32 45.34 22.0G 612951 F51 C~2r7F 2017 04 20.34549 12 39 40.242 -04 32 45.12 21.9G 612951 F51 C~2r7F 2017 04 20.35790 12 39 40.163 -04 32 44.58 22.7G 612951 F51 C~2r7F 2018 03 18.41044 12 55 40.810 -06 16 01.78 22.0G 612951 F51 C~2r7F 2018 03 18.42162 12 55 40.722 -06 16 01.26 22.3G 612951 F51 C~2r7F 2018 03 18.42227 12 55 40.725 -06 16 01.47 22.5G 612951 F51 C~2r7F 2018 03 18.43348 12 55 40.648 -06 16 00.92 22.4G 612951 F51 C~2r7F 2018 03 18.43413 12 55 40.662 -06 16 00.68 22.1G 612951 F51 C~2r7G 2018 03 18.44534 12 55 40.587 -06 16 00.64 22.8G 612951 F51 C~2r7G 2018 03 18.44599 12 55 40.576 -06 16 00.60 22.3G 612951 F51 C~2r7G 2018 03 18.46952 12 55 40.432 -06 15 59.35 22.3G 612951 F51 C~2r7G 2018 03 18.48133 12 55 40.351 -06 15 59.12 22.7G 612951 F51 C~2r7G 2018 03 18.49318 12 55 40.263 -06 15 58.60 23.6G 612951 F51 C~2r7G 2018 03 18.50510 12 55 40.214 -06 15 58.11 22.4G 612951 F51 C~2r7G
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 -0.26
2 0.0000 0.00 0.22 0.00 -0.27
3 0.0000 0.00 0.17 0.00 -0.31
4 0.0110 0.00 -0.15 0.00 -0.12
5 0.0110 0.00 0.04 0.00 0.07
6 0.0110 0.00 -0.14 0.00 -0.18
7 1.2205 0.00 -0.14 0.00 0.15
8 1.2207 0.00 0.01 0.00 0.12
9 1.2234 0.00 -0.04 0.00 -0.00
10 1.3080 0.00 -0.20 0.00 0.03
11 1.3082 0.00 -0.04 0.00 0.18
12 1.3108 0.00 0.01 0.00 0.11
13 1.4608 0.00 0.11 0.00 -0.08
14 1.4609 0.00 0.38 0.00 -0.01
15 1.9466 0.00 -0.15 0.00 0.26
16 1.9467 0.00 -0.07 0.00 0.18
17 1.9493 0.00 -0.01 0.00 0.13
18 2.3480 0.00 -0.10 0.00 0.23
19 2.3483 0.00 0.18 0.00 0.24
20 2.3507 0.00 -0.03 0.00 0.62
21 4.2869 0.00 0.15 0.00 -0.11
22 4.2871 0.00 -0.59 0.00 -0.52
23 7.2144 0.00 -0.08 0.00 0.03
24 7.2195 0.00 -0.11 0.00 -0.48
25 7.2796 0.00 0.08 0.00 -0.11
26 7.2797 0.00 0.00 0.00 -0.16
27 7.2797 0.00 -0.24 0.00 0.01
28 7.2797 0.00 0.07 0.00 0.02
29 8.1837 0.00 -0.22 0.00 -0.14
30 8.2463 0.00 0.02 0.00 -0.08
31 8.2463 0.00 0.01 0.00 -0.25
32 8.2464 0.00 -0.10 0.00 -0.07
33 8.2464 0.00 -0.30 0.00 -0.12
34 8.2707 0.00 0.37 0.00 0.33
35 8.2709 0.00 0.08 0.00 0.94
36 9.2129 0.00 -0.01 0.00 -0.07
37 9.2130 0.00 0.09 0.00 -0.04
38 9.2130 0.00 -0.09 0.00 -0.03
39 9.2131 0.00 0.04 0.00 -0.05
40 9.2867 0.00 0.52 0.00 0.50
41 9.2868 0.00 -0.26 0.00 0.03
42 9.2893 0.00 0.01 0.00 0.03
43 9.2893 0.00 -0.14 0.00 0.13
44 9.2894 0.00 0.00 0.00 0.03
45 9.2894 0.00 0.00 0.00 -0.01
46 10.1412 0.00 0.03 0.00 -0.28
47 10.2560 0.00 0.11 0.00 -0.27
48 10.3379 0.00 -0.18 0.00 -0.17
49 10.3541 0.00 -0.10 0.00 0.01
50 10.3542 0.00 0.07 0.00 0.08
51 10.3542 0.00 0.06 0.00 -0.04
52 10.4226 0.00 0.17 0.00 -0.07
53 10.4226 0.00 0.36 0.00 0.04
54 10.4227 0.00 -0.06 0.00 -0.23
55 10.4227 0.00 -0.10 0.00 -0.06
56 10.4255 0.00 0.05 0.00 -0.00
57 10.4255 0.00 -0.07 0.00 -0.01
58 10.4255 0.00 -0.01 0.00 -0.04
59 10.4256 0.00 -0.14 0.00 -0.06
60 10.9410 0.00 0.11 0.00 0.01
61 11.1570 0.00 -0.09 0.00 0.13
62 11.1570 0.00 0.15 0.00 -0.19
63 11.1570 0.00 0.01 0.00 -0.17
64 11.1571 0.00 0.00 0.00 -0.11
65 11.1872 0.00 -0.01 0.00 0.02
66 11.1872 0.00 0.06 0.00 0.03
67 11.1873 0.00 -0.11 0.00 -0.20
68 11.1873 0.00 0.11 0.00 -0.05
69 11.2717 0.00 0.02 0.00 -0.14
70 11.3100 0.00 0.03 0.00 0.08
71 12.0499 0.00 -0.10 0.00 0.23
72 12.1209 0.00 -0.15 0.00 -0.06
73 12.1209 0.00 -0.02 0.00 -0.26
74 12.1209 0.00 0.08 0.00 -0.06
75 12.1210 0.00 0.10 0.00 -0.04
76 12.1399 0.00 0.09 0.00 0.13
77 12.1399 0.00 0.09 0.00 -0.22
78 12.1400 0.00 0.06 0.00 0.12
79 12.1400 0.00 0.01 0.00 0.03
80 12.1946 0.00 0.22 0.00 -0.26
81 12.2273 0.00 -0.12 0.00 -0.00
82 12.2273 0.00 0.02 0.00 0.02
83 12.2273 0.00 0.04 0.00 -0.03
84 12.2274 0.00 -0.04 0.00 0.01
85 12.2791 0.00 0.00 0.00 0.05
86 12.2791 0.00 0.05 0.00 -0.04
87 12.2792 0.00 -0.03 0.00 0.09
88 12.2792 0.00 -0.05 0.00 0.02
89 12.2819 0.00 0.13 0.00 0.25
90 12.2819 0.00 0.04 0.00 -0.15
91 12.2819 0.00 -0.00 0.00 -0.06
92 12.2820 0.00 -0.05 0.00 0.07
93 12.3037 0.00 0.03 0.00 -0.01
94 12.3037 0.00 -0.03 0.00 0.12
95 12.3038 0.00 0.09 0.00 0.18
96 12.3040 0.00 -0.18 0.00 -0.10
97 12.3040 0.00 0.06 0.00 0.05
98 12.3041 0.00 -0.15 0.00 0.11
99 12.3041 0.00 -0.15 0.00 0.07
100 12.3694 0.00 -0.03 0.00 0.14
101 13.1012 0.00 0.04 0.00 -0.14
102 13.1722 0.00 -0.08 0.00 0.00
103 13.2429 0.00 0.05 0.00 0.13
104 13.2650 0.00 0.07 0.00 0.02
105 13.2650 0.00 0.01 0.00 0.00
106 13.2650 0.00 -0.02 0.00 0.01
107 13.2651 0.00 -0.09 0.00 0.10
108 13.3303 0.00 -0.09 0.00 0.15
109 13.3304 0.00 -0.09 0.00 0.05
110 13.3304 0.00 0.04 0.00 -0.21
111 13.3304 0.00 0.02 0.00 -0.15
112 14.2395 0.00 0.07 0.00 0.06
113 14.2396 0.00 -0.19 0.00 0.16
114 14.2396 0.00 -0.08 0.00 -0.08
115 14.2396 0.00 -0.17 0.00 0.04
116 14.2396 0.00 0.10 0.00 0.26
117 14.2396 0.00 0.05 0.00 -0.13
118 14.2396 0.00 -0.06 0.00 -0.11
119 14.2397 0.00 0.02 0.00 0.24
120 14.2397 0.00 -0.07 0.00 0.02
121 14.2398 0.00 -0.26 0.00 0.09
122 14.2398 0.00 0.14 0.00 0.13
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.
612951 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 52.002 52.001 52.002 ecceobj 0.510 0.510 0.510 incobj 0.711 0.711 0.711 qmin 25.043 25.001 25.094 qmax 78.761 78.761 78.762 amean 51.582 50.961 51.696 amin 50.912 50.027 51.180 amax 52.203 52.203 52.203 emean 0.507 0.503 0.508 emin 0.500 0.494 0.504 emax 0.513 0.513 0.513 imean 2.044 2.221 2.050 imin 1.991 1.991 1.991 imax 2.118 2.447 2.134 excite_mean 0.508 0.504 0.509 fracstop 0.001 0.002 0.001 cjmean 2.838 2.838 2.838 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 186.7 202.5 187.8 kozaiamp 13.9 24.8 15.8