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: 523783 # Created Fri Nov 22 02:07:22 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 121 observations of 121 # Arc: 14.39y # First observation: 2010/02/12 # Last observation: 2024/07/03 # Chi-squared of fit: 142.14 DOF: 236 RMS: 0.19 # Min/Max residuals: -1.05 1.24 # Exact a, adot, b, bdot, g, gdot: 2.765623E-05 1.504045E-01 -7.078747E-07 1.227050E-03 8.447577E-02 -4.449401E-02 # 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 -1.887882 139.983336 -0.057725 -0.032615 -0.989695 2455239.795606 # Heliocentric elements and errors Epoch: 2455240.5000 = 2010/02/13 Mean Anomaly: 308.78989 +/- 0.000 Argument of Peri: 10.84622 +/- 0.000 Long of Asc Node: 213.68578 +/- 0.000 Inclination: 1.81822 +/- 0.000 Eccentricity: 0.30112491 +/- 0.0000 Semi-Major Axis: 14.52339276 +/- 0.0000 Time of Perihelion: 2458116.2675 +/- 0.0 Perihelion: 10.15003749 +/- 0.0000 Aphelion: 18.89674803 +/- 0.0000 Period (y) 55.3491 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -9.85291928 +/- 0.0000 Ecliptic Y 8.19722295 +/- 0.0000 Ecliptic Z -0.39000204 +/- 0.0000 Ecliptic XDOT -0.00202903 +/- 0.0000 Ecliptic YDOT -0.00465342 +/- 0.0000 Ecliptic ZDOT 0.00008719 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 12.82298885 +/- 0.0000 Geocenter to KBO 11.83784043 +/- 0.0000 # Hcoef: 11.96
The following table shows the complete astrometric record for 523783. 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 (523783) followed by the observatory code and reference code for the source of the astrometry.
2010 02 12.29484 09 27 07.66 +13 01 37.3 22.2i 523783 568 C~5H0l 2010 02 12.30506 09 27 07.51 +13 01 38.1 22.7r 523783 568 C~5H0l 2010 02 12.31313 09 27 07.38 +13 01 38.6 22.7r 523783 568 C~5H0l 2011 01 30.40426 10 04 56.579 +09 52 32.25 23.1G 523783 F51 C~2kRQ 2011 01 30.41906 10 04 56.396 +09 52 33.24 22.9G 523783 F51 C~2kRQ 2011 01 30.43513 10 04 56.189 +09 52 34.35 22.9G 523783 F51 C~2kRQ 2011 01 30.44989 10 04 56.003 +09 52 35.31 23.2G 523783 F51 C~2kRQ 2011 02 04.45063 10 03 49.415 +09 58 31.37 22.7G 523783 F51 C~2kRQ 2011 02 04.46491 10 03 49.217 +09 58 32.76 23.0G 523783 F51 C~2kRQ 2011 02 04.47932 10 03 49.025 +09 58 33.46 23.5G 523783 F51 C~2kRQ 2011 02 04.49374 10 03 48.833 +09 58 34.74 23.3G 523783 F51 C~2kRQ 2011 02 05.56614 10 03 34.184 +09 59 53.55 21.9G 523783 F51 C~2kRQ 2012 02 13.48734 10 39 04.478 +06 45 23.31 23.1G 523783 F51 C~2kRQ 2012 03 16.31568 10 31 39.120 +07 30 39.87 22.7G 523783 F51 C~2kRQ 2013 02 08.59841 11 19 49.979 +02 46 22.92 22.1G 523783 F51 C~2kRQ 2013 02 13.58646 11 18 50.281 +02 52 34.71 21.5G 523783 F51 C~2kRQ 2013 02 15.47448 11 18 26.598 +02 55 04.14 22.4w 523783 F51 C~1vYA 2013 02 15.48816 11 18 26.432 +02 55 05.52 22.6w 523783 F51 C~1vYA 2013 02 15.51551 11 18 26.078 +02 55 07.44 22.4w 523783 F51 C~1vYA 2013 03 05.41882 11 14 20.057 +03 21 19.09 22.4w 523783 F51 C~1vYA 2013 03 05.43376 11 14 19.830 +03 21 20.38 22.3w 523783 F51 C~1vYA 2013 03 05.44869 11 14 19.608 +03 21 21.85 22.2w 523783 F51 C~1vYA 2013 04 03.34062 11 07 44.103 +04 05 03.79 22.2G 523783 F51 C~2kRQ 2013 04 03.35573 11 07 43.908 +04 05 05.91 22.3G 523783 F51 C~2kRQ 2013 04 03.37085 11 07 43.735 +04 05 06.54 22.9G 523783 F51 C~2kRQ 2013 12 14.63596 12 02 25.716 -01 27 36.50 22.5w 523783 F51 C~1vYA 2013 12 14.63996 12 02 25.750 -01 27 36.95 22.2w 523783 F51 C~1vYA 2013 12 14.64396 12 02 25.763 -01 27 37.12 22.4w 523783 F51 C~1vYA 2013 12 14.64797 12 02 25.820 -01 27 37.40 22.5w 523783 F51 C~1vYA 2014 03 24.41853 11 53 03.699 -00 29 08.44 22.2G 523783 F51 C~2kRQ 2014 03 24.43083 11 53 03.522 -00 29 07.15 22.1G 523783 F51 C~2kRQ 2014 03 24.44316 11 53 03.305 -00 29 05.91 20.9G 523783 F51 C~2kRQ 2014 04 28.31166 11 45 50.715 +00 21 14.62 22.0G 523783 F51 C~2kRQ 2014 04 28.32395 11 45 50.608 +00 21 15.48 22.2G 523783 F51 C~2kRQ 2014 04 28.33623 11 45 50.504 +00 21 16.22 22.3G 523783 F51 C~2kRQ 2014 04 28.34850 11 45 50.376 +00 21 17.01 22.1G 523783 F51 C~2kRQ 2014 05 04.30370 11 45 01.608 +00 27 20.60 22.2G 523783 F51 C~2kRQ 2014 05 04.31567 11 45 01.497 +00 27 22.27 22.1G 523783 F51 C~2kRQ 2014 05 04.32773 11 45 01.410 +00 27 22.73 22.3G 523783 F51 C~2kRQ 2014 05 24.26742 11 43 34.634 +00 39 41.11 22.4w 523783 F51 C~1vYA 2014 05 24.28070 11 43 34.615 +00 39 41.21 22.3w 523783 F51 C~1vYA 2014 05 24.29397 11 43 34.587 +00 39 41.80 22.6w 523783 F51 C~1vYA 2014 05 24.30724 11 43 34.571 +00 39 41.85 22.5w 523783 F51 C~1vYA 2015 01 23.54789 12 48 27.088 -06 03 59.26 22.7w 523783 F51 C~1vYA 2015 01 23.56326 12 48 27.096 -06 03 59.43 22.5w 523783 F51 C~1vYA 2015 01 23.57866 12 48 27.085 -06 03 59.29 22.6w 523783 F51 C~1vYA 2015 01 23.59403 12 48 27.096 -06 03 59.39 22.5w 523783 F51 C~1vYA 2015 01 25.54087 12 48 26.820 -06 03 59.84 22.5G 523783 F51 C~2kRQ 2015 01 25.55614 12 48 26.804 -06 03 59.89 22.6G 523783 F51 C~2kRQ 2015 01 25.57147 12 48 26.795 -06 03 59.80 22.6G 523783 F51 C~2kRQ 2015 01 25.58677 12 48 26.788 -06 03 59.95 22.6G 523783 F51 C~2kRQ 2015 02 02.58825 12 48 11.540 -06 02 31.90 21.2G 523783 F51 C~2kRQ 2015 02 15.51937 12 47 01.422 -05 55 15.87 22.5w 523783 F51 C~1vYA 2015 02 15.54527 12 47 01.232 -05 55 15.13 22.4w 523783 F51 C~1vYA 2015 02 15.55816 12 47 01.130 -05 55 14.17 22.6w 523783 F51 C~1vYA 2015 02 16.50441 12 46 53.908 -05 54 28.66 21.7G 523783 F51 C~2kRQ 2015 02 16.51712 12 46 53.809 -05 54 28.07 22.3G 523783 F51 C~2kRQ 2015 02 16.52979 12 46 53.707 -05 54 27.33 22.3G 523783 F51 C~2kRQ 2015 02 16.54248 12 46 53.606 -05 54 26.87 22.4G 523783 F51 C~2kRQ 2015 02 27.54433 12 45 10.872 -05 43 34.13 22.5w 523783 F51 C~1vYA 2015 02 27.55688 12 45 10.718 -05 43 33.34 22.6w 523783 F51 C~1vYA 2015 02 27.56942 12 45 10.584 -05 43 32.15 22.5w 523783 F51 C~1vYA 2015 03 30.41974 12 38 16.817 -04 58 36.13 21.6G 523783 F51 C~2kRQ 2015 04 13.38465 12 34 51.877 -04 35 45.22 21.9w 523783 F51 C~1vYA 2015 04 13.39550 12 34 51.720 -04 35 44.28 22.0w 523783 F51 C~1vYA 2015 04 13.40632 12 34 51.562 -04 35 43.29 21.9w 523783 F51 C~1vYA 2015 04 13.41717 12 34 51.403 -04 35 42.06 22.0w 523783 F51 C~1vYA 2015 05 23.26771 12 27 52.698 -03 46 34.77 22.6G 523783 F51 C~2kRQ 2015 05 23.27981 12 27 52.654 -03 46 33.85 23.0G 523783 F51 C~2kRQ 2015 05 23.29188 12 27 52.581 -03 46 33.69 21.7G 523783 F51 C~2kRQ 2015 05 23.30399 12 27 52.517 -03 46 32.76 22.2G 523783 F51 C~2kRQ 2015 05 24.29915 12 27 47.345 -03 45 52.04 22.5G 523783 F51 C~2kRQ 2016 02 09.63729 13 35 37.460 -10 24 42.42 22.1G 523783 F51 C~2kRQ 2016 02 09.64526 13 35 37.451 -10 24 42.39 22.2G 523783 F51 C~2kRQ 2016 02 09.65327 13 35 37.423 -10 24 42.19 22.1G 523783 F51 C~2kRQ 2016 02 09.66120 13 35 37.408 -10 24 42.22 22.1G 523783 F51 C~2kRQ 2016 02 12.65819 13 35 32.330 -10 24 07.60 22.4G 523783 F51 C~2kRQ 2016 02 13.65979 13 35 29.870 -10 23 51.72 21.7G 523783 F51 C~2kRQ 2016 02 20.59611 13 35 03.339 -10 21 05.94 22.6G 523783 F51 C~2kRQ 2016 03 04.53703 13 33 30.609 -10 11 40.94 22.1G 523783 F51 C~2kRQ 2016 03 04.53766 13 33 30.599 -10 11 40.85 22.4G 523783 F51 C~2kRQ 2016 03 04.54941 13 33 30.493 -10 11 40.42 22.4G 523783 F51 C~2kRQ 2016 03 04.55006 13 33 30.478 -10 11 40.38 21.9G 523783 F51 C~2kRQ 2016 03 04.56175 13 33 30.361 -10 11 39.51 22.2G 523783 F51 C~2kRQ 2016 03 04.56240 13 33 30.366 -10 11 39.62 21.9G 523783 F51 C~2kRQ 2016 03 04.57471 13 33 30.252 -10 11 38.96 22.0G 523783 F51 C~2kRQ 2016 03 12.51209 13 32 08.701 -10 03 24.59 20.4G 523783 F51 C~2kRQ 2016 03 12.52474 13 32 08.490 -10 03 23.17 21.4G 523783 F51 C~2kRQ 2016 03 12.53739 13 32 08.368 -10 03 22.75 21.6G 523783 F51 C~2kRQ 2016 03 14.47746 13 31 45.994 -10 01 06.72 22.6G 523783 F51 C~2kRQ 2016 04 15.44459 13 24 12.358 -09 14 44.64 21.0G 523783 F51 C~2kRQ 2016 04 16.41293 13 23 57.610 -09 13 13.19 21.3G 523783 F51 C~2kRQ 2016 04 16.42465 13 23 57.423 -09 13 11.72 22.3G 523783 F51 C~2kRR 2016 04 16.43634 13 23 57.249 -09 13 10.82 21.5G 523783 F51 C~2kRR 2016 04 16.44798 13 23 57.061 -09 13 09.78 22.4G 523783 F51 C~2kRR 2016 04 28.37355 13 21 00.260 -08 54 40.86 22.1G 523783 F51 C~2kRR 2016 05 01.37554 13 20 17.987 -08 50 13.62 21.6G 523783 F51 C~2kRR 2016 05 01.38723 13 20 17.874 -08 50 12.72 21.6G 523783 F51 C~2kRR 2016 05 01.39889 13 20 17.698 -08 50 11.45 22.0G 523783 F51 C~2kRR 2016 05 01.41056 13 20 17.526 -08 50 10.34 22.0G 523783 F51 C~2kRR 2017 02 24.61063 14 25 56.873 -14 26 48.45 21.9G 523783 F51 C~2kRR 2017 02 24.62765 14 25 56.858 -14 26 47.93 22.3G 523783 F51 C~2kRR 2017 02 24.63831 14 25 56.834 -14 26 47.72 22.2G 523783 F51 C~2kRR 2017 02 24.64902 14 25 56.792 -14 26 47.49 22.3G 523783 F51 C~2kRR 2017 03 22.47256 14 23 05.185 -14 10 43.41 22.0G 523783 F51 C~2kRR 2017 04 19.43155 14 16 42.617 -13 36 31.49 22.4G 523783 F51 C~2kRR 2017 04 20.43556 14 16 26.940 -13 35 06.92 21.6G 523783 F51 C~2kRR 2017 04 20.44660 14 16 26.753 -13 35 05.91 21.4G 523783 F51 C~2kRR 2017 04 20.45762 14 16 26.581 -13 35 05.14 21.5G 523783 F51 C~2kRR 2017 04 20.46869 14 16 26.398 -13 35 04.16 21.7G 523783 F51 C~2kRR 2017 05 16.33240 14 09 50.035 -12 59 06.57 21.7G 523783 F51 C~2kRR 2017 05 16.34339 14 09 49.864 -12 59 05.66 22.2G 523783 F51 C~2kRR 2017 05 27.31933 14 07 26.925 -12 45 51.34 22.7G 523783 F51 C~2kRR 2017 05 27.33190 14 07 26.772 -12 45 50.63 22.4G 523783 F51 C~2kRR 2017 05 27.34446 14 07 26.621 -12 45 49.67 22.3G 523783 F51 C~2kRR 2018 04 10.33093 15 14 50.595 -17 31 45.12 21.9R 523783 G37 C~2bHJ 2018 04 10.40686 15 14 49.615 -17 31 41.05 523783 G37 C~2bHJ 2018 05 19.46190 15 04 50.832 -16 48 28.41 21.9G 523783 F51 C~2kRR 2024 07 03.337350 20 01 26.200 -18 30 19.02 22.7G 523783 G37 C~89KH 2024 07 03.377500 20 01 25.609 -18 30 20.88 523783 G37 C~89KH 2024 07 03.415150 20 01 25.052 -18 30 22.21 523783 G37 C~89KH
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 0.16 0.00 0.15
2 0.0000 0.00 0.12 0.00 0.23
3 0.0001 0.00 -0.09 0.00 0.17
4 0.9640 0.00 -0.25 0.00 0.05
5 0.9641 0.00 -0.05 0.00 0.01
6 0.9641 0.00 0.05 0.00 0.01
7 0.9641 0.00 0.20 0.00 -0.06
8 0.9778 0.00 -0.13 0.00 -0.22
9 0.9779 0.00 -0.12 0.00 0.12
10 0.9779 0.00 0.00 0.00 -0.23
11 0.9780 0.00 0.13 0.00 -0.00
12 0.9809 0.00 0.17 0.00 0.05
13 2.0019 0.00 0.07 0.00 -0.07
14 2.0890 0.00 -0.05 0.00 -0.00
15 2.9906 0.00 -0.02 0.00 -0.03
16 3.0042 0.00 -0.31 0.00 -0.37
17 3.0094 0.00 -0.08 0.00 0.05
18 3.0094 0.00 0.11 0.00 0.34
19 3.0095 0.00 0.16 0.00 0.07
20 3.0585 0.00 0.08 0.00 0.11
21 3.0586 0.00 -0.03 0.00 0.01
22 3.0586 0.00 -0.06 0.00 0.09
23 3.1377 0.00 -0.00 0.00 -0.47
24 3.1377 0.00 -0.13 0.00 0.41
25 3.1378 0.00 0.07 0.00 -0.20
26 3.8367 0.00 0.01 0.00 -0.01
27 3.8367 0.00 -0.02 0.00 -0.20
28 3.8367 0.00 -0.37 0.00 -0.12
29 3.8367 0.00 -0.05 0.00 -0.14
30 4.1099 0.00 0.02 0.00 -0.04
31 4.1099 0.00 0.10 0.00 0.04
32 4.1099 0.00 -0.40 0.00 0.07
33 4.2054 0.00 -0.12 0.00 -0.03
34 4.2054 0.00 -0.00 0.00 0.02
35 4.2055 0.00 0.16 0.00 -0.06
36 4.2055 0.00 -0.04 0.00 -0.08
37 4.2218 0.00 0.04 0.00 -1.05
38 4.2218 0.00 -0.25 0.00 -0.05
39 4.2219 0.00 -0.16 0.00 -0.27
40 4.2764 0.00 0.16 0.00 0.08
41 4.2765 0.00 0.18 0.00 -0.05
42 4.2765 0.00 0.07 0.00 0.32
43 4.2766 0.00 0.13 0.00 0.14
44 4.9453 0.00 -0.09 0.00 0.05
45 4.9453 0.00 0.05 0.00 -0.08
46 4.9453 0.00 -0.09 0.00 0.10
47 4.9454 0.00 0.10 0.00 0.04
48 4.9507 0.00 -0.07 0.00 0.12
49 4.9507 0.00 -0.13 0.00 0.04
50 4.9508 0.00 -0.08 0.00 0.10
51 4.9508 0.00 0.01 0.00 -0.08
52 4.9727 0.00 0.05 0.00 -0.05
53 5.0081 0.00 -0.15 0.00 0.25
54 5.0082 0.00 0.05 0.00 -0.22
55 5.0083 0.00 0.03 0.00 0.13
56 5.0108 0.00 -0.16 0.00 0.12
57 5.0109 0.00 -0.10 0.00 0.09
58 5.0109 0.00 -0.09 0.00 0.21
59 5.0109 0.00 -0.05 0.00 0.04
60 5.0411 0.00 0.19 0.00 -0.02
61 5.0411 0.00 -0.03 0.00 -0.10
62 5.0411 0.00 0.06 0.00 0.22
63 5.1256 0.00 0.10 0.00 0.02
64 5.1638 0.00 0.15 0.00 0.23
65 5.1639 0.00 0.17 0.00 0.13
66 5.1639 0.00 0.18 0.00 0.07
67 5.1639 0.00 0.17 0.00 0.26
68 5.2730 0.00 -0.27 0.00 -0.27
69 5.2731 0.00 0.11 0.00 0.14
70 5.2731 0.00 0.04 0.00 -0.20
71 5.2731 0.00 0.12 0.00 0.22
72 5.2759 0.00 -0.14 0.00 0.17
73 5.9914 0.00 -0.05 0.00 -0.03
74 5.9914 0.00 -0.01 0.00 -0.07
75 5.9914 0.00 -0.25 0.00 0.06
76 5.9914 0.00 -0.29 0.00 -0.03
77 5.9996 0.00 0.17 0.00 0.13
78 6.0024 0.00 -0.16 0.00 0.24
79 6.0214 0.00 1.24 0.00 -0.51
80 6.0568 0.00 0.06 0.00 0.05
81 6.0568 0.00 0.00 0.00 0.10
82 6.0568 0.00 0.10 0.00 -0.12
83 6.0568 0.00 -0.04 0.00 -0.12
84 6.0569 0.00 -0.12 0.00 0.10
85 6.0569 0.00 0.05 0.00 -0.04
86 6.0569 0.00 0.10 0.00 -0.07
87 6.0786 0.00 0.47 0.00 -0.05
88 6.0787 0.00 -0.48 0.00 0.50
89 6.0787 0.00 -0.09 0.00 0.05
90 6.0840 0.00 0.11 0.00 0.20
91 6.1715 0.00 0.18 0.00 0.13
92 6.1742 0.00 -0.02 0.00 -0.18
93 6.1742 0.00 -0.08 0.00 0.18
94 6.1742 0.00 0.04 0.00 -0.03
95 6.1743 0.00 -0.06 0.00 -0.10
96 6.2069 0.00 0.11 0.00 -0.10
97 6.2151 0.00 -0.68 0.00 -0.21
98 6.2152 0.00 0.12 0.00 -0.34
99 6.2152 0.00 -0.03 0.00 -0.10
100 6.2152 0.00 -0.12 0.00 -0.01
101 7.0344 0.00 -0.38 0.00 -0.29
102 7.0344 0.00 0.02 0.00 -0.02
103 7.0345 0.00 0.06 0.00 0.03
104 7.0345 0.00 -0.18 0.00 0.10
105 7.1052 0.00 0.29 0.00 0.03
106 7.1818 0.00 0.03 0.00 -0.07
107 7.1845 0.00 0.16 0.00 0.10
108 7.1845 0.00 0.01 0.00 0.18
109 7.1846 0.00 0.08 0.00 0.02
110 7.1846 0.00 -0.00 0.00 0.07
111 7.2554 0.00 0.07 0.00 -0.11
112 7.2554 0.00 -0.11 0.00 -0.05
113 7.2855 0.00 -0.13 0.00 0.09
114 7.2855 0.00 -0.12 0.00 -0.04
115 7.2856 0.00 -0.09 0.00 0.09
116 8.1562 0.00 -0.03 0.00 0.09
117 8.1564 0.00 -0.08 0.00 0.01
118 8.2633 0.00 -0.09 0.00 -0.11
119 14.3875 0.00 0.22 0.00 0.21
120 14.3876 0.00 0.02 0.00 -0.13
121 14.3877 0.00 -0.21 0.00 -0.05
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.
523783 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 14.585 14.585 14.585 ecceobj 0.298 0.298 0.298 incobj 1.815 1.815 1.815 qmin 9.927 9.924 9.931 qmax 19.747 19.755 19.738 amean 14.711 14.712 14.710 amin 14.585 14.585 14.585 amax 14.837 14.840 14.835 emean 0.314 0.315 0.314 emin 0.298 0.298 0.298 emax 0.331 0.331 0.331 imean 2.385 2.381 2.389 imin 2.057 2.049 2.064 imax 2.714 2.714 2.714 excite_mean 0.317 0.317 0.317 fracstop 0.000 0.000 0.000 cjmean 3.370 3.370 3.370 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 27.1 27.2 27.0 kozaiamp 16.7 16.8 16.6