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: 609221 # Created Sun Dec 22 02:07:41 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 120 observations of 120 # Arc: 20.08y # First observation: 2004/11/09 # Last observation: 2024/12/07 # Chi-squared of fit: 71.37 DOF: 234 RMS: 0.14 # Min/Max residuals: -0.54 0.51 # Exact a, adot, b, bdot, g, gdot: 1.483897E-05 2.570280E-02 -1.017425E-06 1.823742E-05 2.517532E-02 -2.575932E-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 -0.500653 39.448116 -0.131209 -0.008495 -0.984090 2453318.881743 # Heliocentric elements and errors Epoch: 2453318.5000 = 2004/11/09 Mean Anomaly: 353.55871 +/- 0.000 Argument of Peri: 282.52229 +/- 0.000 Long of Asc Node: 124.56695 +/- 0.000 Inclination: 0.49056 +/- 0.000 Eccentricity: 0.07170237 +/- 0.0000 Semi-Major Axis: 43.82205350 +/- 0.0000 Time of Perihelion: 2455214.3678 +/- 0.0 Perihelion: 40.67990854 +/- 0.0000 Aphelion: 46.96419845 +/- 0.0000 Period (y) 290.0997 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.34368650 +/- 0.0000 Ecliptic Y 25.96496219 +/- 0.0000 Ecliptic Z -0.34712879 +/- 0.0000 Ecliptic XDOT -0.00179881 +/- 0.0000 Ecliptic YDOT 0.00213349 +/- 0.0000 Ecliptic ZDOT 0.00000232 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.70291014 +/- 0.0000 Geocenter to KBO 39.72149234 +/- 0.0000 # Hcoef: 6.01
The following table shows the complete astrometric record for 609221. 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 (609221) followed by the observatory code and reference code for the source of the astrometry.
2004 11 09.38100 02 28 51.31 +14 09 53.5 22.2g 609221 568 C~0VDw 2004 11 09.40749 02 28 51.17 +14 09 53.1 22.4g 609221 568 C~0VDw 2004 11 09.43348 02 28 51.04 +14 09 52.3 22.5g 609221 568 C~0VDw 2004 11 10.29631 02 28 46.86 +14 09 31.9 22.3g 609221 568 C~0VDw 2005 10 25.50591 02 35 51.70 +14 43 30.8 21.9r 609221 568 C~0VDw 2005 10 25.53845 02 35 51.54 +14 43 30.1 21.7r 609221 568 C~0VDw 2005 10 25.57214 02 35 51.37 +14 43 29.3 22.1r 609221 568 C~0VDw 2005 10 26.54602 02 35 46.61 +14 43 06.9 22.0r 609221 568 C~0VDw 2006 10 21.97770 02 41 57.45 +15 12 00.2 609221 950 C~0VDw 2006 10 22.06374 02 41 57.03 +15 11 58.3 609221 950 C~0VDw 2006 10 22.13981 02 41 56.65 +15 11 56.7 609221 950 C~0VDw 2006 11 24.24560 02 39 15.02 +14 59 31.7 609221 695 C~0VDw 2006 11 24.35087 02 39 14.53 +14 59 29.5 609221 695 C~0VDw 2010 10 09.42104 03 06 19.438 +16 58 23.70 22.2G 609221 F51 C~2r7F 2010 10 09.42242 03 06 19.442 +16 58 23.68 22.1G 609221 F51 C~2r7F 2010 10 09.43714 03 06 19.379 +16 58 23.45 22.3G 609221 F51 C~2r7F 2010 10 09.43851 03 06 19.360 +16 58 23.40 22.1G 609221 F51 C~2r7F 2010 10 09.45325 03 06 19.317 +16 58 23.06 22.3G 609221 F51 C~2r7F 2010 10 09.45463 03 06 19.308 +16 58 23.12 22.4G 609221 F51 C~2r7F 2010 10 09.46935 03 06 19.242 +16 58 22.85 22.0G 609221 F51 C~2r7F 2010 10 09.47073 03 06 19.247 +16 58 22.80 22.2G 609221 F51 C~2r7F 2010 10 30.53514 03 04 42.819 +16 51 42.53 21.3G 609221 F51 C~2r7F 2010 10 30.54705 03 04 42.748 +16 51 42.18 21.5G 609221 F51 C~2r7F 2011 09 11.56506 03 13 39.141 +17 28 08.09 22.1G 609221 F51 C~2r7F 2011 10 24.53820 03 11 09.353 +17 17 58.25 22.1G 609221 F51 C~2r7F 2011 10 24.55348 03 11 09.277 +17 17 58.03 21.8G 609221 F51 C~2r7F 2011 10 24.56869 03 11 09.209 +17 17 57.71 22.0G 609221 F51 C~2r7F 2011 10 24.58388 03 11 09.128 +17 17 57.28 21.8G 609221 F51 C~2r7F 2011 12 25.18791 03 06 22.61 +16 58 56.5 21.9R 609221 688 C~0bd1 2011 12 25.24494 03 06 22.41 +16 58 56.4 609221 688 C~0bd1 2012 10 18.39754 03 17 31.743 +17 43 04.95 22.0G 609221 F51 C~2r7F 2012 10 18.41268 03 17 31.664 +17 43 04.66 21.9G 609221 F51 C~2r7F 2012 11 07.39473 03 15 55.034 +17 36 49.51 21.9G 609221 F51 C~2r7F 2013 01 17.32418 03 11 17.104 +17 19 09.66 21.8G 609221 F51 C~2r7F 2013 08 22.55414 03 25 40.668 +18 14 19.01 22.2G 609221 F51 C~2r7F 2013 10 25.54285 03 22 58.734 +18 03 50.55 22.6G 609221 F51 C~2r7F 2014 10 03.61254 03 30 29.428 +18 31 27.33 22.0G 609221 F51 C~2r7F 2014 10 25.59799 03 28 59.462 +18 25 59.59 22.6G 609221 F51 C~2r7F 2014 12 10.43903 03 25 10.975 +18 12 16.08 22.1G 609221 F51 C~2r7F 2015 01 11.33301 03 23 16.677 +18 05 32.52 22.5G 609221 F51 C~2r7F 2015 01 11.34582 03 23 16.640 +18 05 32.39 22.0G 609221 F51 C~2r7F 2015 01 11.35856 03 23 16.613 +18 05 32.32 22.4G 609221 F51 C~2r7F 2015 01 11.37134 03 23 16.574 +18 05 32.11 22.4G 609221 F51 C~2r7F 2015 01 14.32337 03 23 10.127 +18 05 10.32 22.2G 609221 F51 C~2r7F 2015 01 14.33618 03 23 10.094 +18 05 10.15 22.2G 609221 F51 C~2r7F 2015 01 14.34895 03 23 10.065 +18 05 10.10 22.3G 609221 F51 C~2r7F 2015 01 14.36171 03 23 10.041 +18 05 10.05 22.3G 609221 F51 C~2r7F 2015 07 26.58694 03 36 33.937 +18 53 31.23 22.7G 609221 F51 C~2r7F 2015 12 13.26160 03 30 58.642 +18 33 22.07 22.2G 609221 F51 C~2r7F 2015 12 13.41916 03 30 57.908 +18 33 19.77 21.7G 609221 F51 C~2r7F 2015 12 13.43330 03 30 57.839 +18 33 19.33 22.0G 609221 F51 C~2r7F 2015 12 13.44752 03 30 57.768 +18 33 19.13 22.5G 609221 F51 C~2r7F 2015 12 13.46171 03 30 57.721 +18 33 19.03 22.0G 609221 F51 C~2r7F 2016 01 08.34154 03 29 20.962 +18 27 49.40 22.9G 609221 F51 C~2r7F 2016 01 08.35516 03 29 20.927 +18 27 49.13 22.2G 609221 F51 C~2r7F 2016 01 08.36877 03 29 20.889 +18 27 48.93 22.4G 609221 F51 C~2r7F 2016 01 08.38245 03 29 20.857 +18 27 49.11 22.4G 609221 F51 C~2r7F 2016 01 24.34581 03 28 48.673 +18 26 05.33 22.5G 609221 F51 C~2r7F 2016 10 07.44964 03 42 13.864 +19 11 58.34 21.8G 609221 F51 C~2r7F 2016 10 07.46266 03 42 13.814 +19 11 58.05 22.1G 609221 F51 C~2r7F 2016 10 07.47568 03 42 13.777 +19 11 58.08 21.8G 609221 F51 C~2r7F 2016 10 07.48874 03 42 13.724 +19 11 57.86 21.9G 609221 F51 C~2r7F 2016 10 25.59009 03 40 59.323 +19 07 46.88 21.6G 609221 F51 C~2r7F 2016 12 24.37052 03 36 07.563 +18 51 35.73 21.4G 609221 F51 C~2r7F 2017 08 05.59898 03 48 47.236 +19 33 51.06 22.1G 609221 F51 C~2r7F 2017 08 05.60308 03 48 47.247 +19 33 51.05 22.0G 609221 F51 C~2r7F 2017 08 05.60718 03 48 47.270 +19 33 50.98 22.2G 609221 F51 C~2r7F 2017 08 05.61130 03 48 47.276 +19 33 51.06 22.2G 609221 F51 C~2r7F 2017 10 17.61089 03 47 37.370 +19 29 31.07 21.9G 609221 F51 C~2r7F 2017 11 17.49840 03 45 08.810 +19 21 33.75 22.4G 609221 F51 C~2r7F 2017 11 17.51044 03 45 08.748 +19 21 33.79 22.0G 609221 F51 C~2r7F 2017 11 17.52251 03 45 08.696 +19 21 33.35 22.3G 609221 F51 C~2r7F 2017 11 17.53462 03 45 08.634 +19 21 33.26 22.4G 609221 F51 C~2r7F 2017 12 08.28142 03 43 22.045 +19 15 52.69 21.7G 609221 F51 C~2r7F 2017 12 08.29609 03 43 21.970 +19 15 52.52 21.8G 609221 F51 C~2r7F 2017 12 08.31082 03 43 21.905 +19 15 52.28 22.2G 609221 F51 C~2r7F 2017 12 08.32560 03 43 21.830 +19 15 52.08 22.1G 609221 F51 C~2r7F 2017 12 09.27293 03 43 17.186 +19 15 37.13 21.9G 609221 F51 C~2r7F 2017 12 09.28581 03 43 17.152 +19 15 37.13 21.7G 609221 F51 C~2r7F 2017 12 09.29938 03 43 17.065 +19 15 36.76 21.9G 609221 F51 C~2r7F 2017 12 09.30014 03 43 17.078 +19 15 36.83 22.0G 609221 F51 C~2r7F 2017 12 09.31300 03 43 17.007 +19 15 36.59 22.3G 609221 F51 C~2r7F 2017 12 09.31377 03 43 16.995 +19 15 36.44 21.8G 609221 F51 C~2r7F 2021 01 16.33409 03 58 53.735 +20 04 44.54 22.3w 609221 F51 C~4Ty3 2021 01 16.34653 03 58 53.698 +20 04 44.26 22.4w 609221 F51 C~4Ty4 2021 01 16.35891 03 58 53.659 +20 04 44.23 22.0w 609221 F51 C~4Ty4 2021 01 16.37136 03 58 53.634 +20 04 44.13 22.3w 609221 F51 C~4Ty4 2021 10 28.393854 04 11 09.654 +20 38 26.93 22.4w 609221 F52 C~5B8X 2021 10 28.416662 04 11 09.558 +20 38 26.23 22.0w 609221 F52 C~5B8X 2021 10 28.428078 04 11 09.517 +20 38 26.38 21.9w 609221 F52 C~5B8X 2022 12 01.474265 04 14 27.229 +20 47 12.27 21.9w 609221 F52 C~69WT 2022 12 01.486488 04 14 27.162 +20 47 12.23 21.8w 609221 F52 C~69WT 2022 12 01.498767 04 14 27.087 +20 47 12.05 21.9w 609221 F52 C~69WT 2022 12 01.511001 04 14 27.032 +20 47 11.96 21.8w 609221 F52 C~69WT 2023 10 16.466690 04 24 15.467 +21 11 17.29 21.9w 609221 F51 C~7MV4 2023 10 16.479041 04 24 15.424 +21 11 17.31 22.0w 609221 F51 C~7MV4 2023 10 16.491449 04 24 15.385 +21 11 17.08 22.0w 609221 F51 C~7MV4 2023 10 22.439726 04 23 53.445 +21 10 24.81 21.8w 609221 F52 C~7Qum 2023 10 22.452544 04 23 53.382 +21 10 24.54 22.0w 609221 F52 C~7Qum 2023 10 22.465375 04 23 53.342 +21 10 24.46 22.2w 609221 F52 C~7Qum 2023 11 08.551376 04 22 37.640 +21 07 25.23 21.8w 609221 F51 C~7WR5 2023 11 08.564309 04 22 37.577 +21 07 25.15 21.9w 609221 F51 C~7WR5 2023 11 08.594441 04 22 37.420 +21 07 24.67 21.9w 609221 F51 C~7WR5 2023 11 17.82568 04 21 50.82 +21 05 34.6 22.1w 609221 O18 C~7WtG 2023 11 17.83106 04 21 50.78 +21 05 34.6 22.1w 609221 O18 C~7WtG 2023 11 17.83645 04 21 50.77 +21 05 34.6 22.0w 609221 O18 C~7WtG 2023 12 04.319356 04 20 23.503 +21 02 08.72 22.2w 609221 F51 C~7b73 2023 12 04.335234 04 20 23.406 +21 02 08.73 22.0w 609221 F51 C~7b73 2023 12 04.349411 04 20 23.337 +21 02 08.65 21.9w 609221 F51 C~7b73 2023 12 04.364035 04 20 23.256 +21 02 08.47 22.1w 609221 F51 C~7b73 2024 01 01.246281 04 18 06.302 +20 56 46.82 22.1w 609221 F51 C~7gh2 2024 01 01.259218 04 18 06.244 +20 56 46.98 22.1w 609221 F51 C~7gh2 2024 01 01.272167 04 18 06.209 +20 56 46.77 22.0w 609221 F51 C~7gh2 2024 09 04.585446 04 31 23.683 +21 27 46.35 22.1w 609221 F52 C~8Flr 2024 09 04.597977 04 31 23.688 +21 27 46.39 22.1w 609221 F52 C~8Flr 2024 09 04.610512 04 31 23.712 +21 27 46.13 22.2w 609221 F52 C~8Flr 2024 12 07.324861 04 26 14.526 +21 16 05.24 21.9w 609221 F52 C~8WHw 2024 12 07.335774 04 26 14.467 +21 16 05.04 21.8w 609221 F52 C~8WHw 2024 12 07.346721 04 26 14.404 +21 16 04.95 21.6w 609221 F52 C~8WHw 2024 12 07.357678 04 26 14.355 +21 16 04.93 21.7w 609221 F52 C~8WHw
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 0.29
2 0.0001 0.00 0.07 0.00 0.51
3 0.0001 0.00 0.05 0.00 0.32
4 0.0025 0.00 0.19 0.00 0.22
5 0.9586 0.00 0.05 0.00 0.04
6 0.9587 0.00 0.07 0.00 0.10
7 0.9588 0.00 0.02 0.00 0.09
8 0.9614 0.00 -0.01 0.00 0.24
9 1.9482 0.00 -0.39 0.00 -0.29
10 1.9485 0.00 -0.40 0.00 -0.29
11 1.9487 0.00 -0.54 0.00 -0.19
12 2.0393 0.00 -0.06 0.00 -0.11
13 2.0396 0.00 0.02 0.00 -0.07
14 5.9139 0.00 -0.09 0.00 0.01
15 5.9139 0.00 0.05 0.00 0.01
16 5.9139 0.00 0.03 0.00 0.03
17 5.9139 0.00 -0.17 0.00 0.01
18 5.9140 0.00 0.10 0.00 -0.09
19 5.9140 0.00 0.06 0.00 -0.00
20 5.9140 0.00 -0.01 0.00 -0.02
21 5.9140 0.00 0.15 0.00 -0.05
22 5.9717 0.00 0.17 0.00 -0.08
23 5.9717 0.00 0.00 0.00 -0.18
24 6.8369 0.00 0.18 0.00 -0.36
25 6.9546 0.00 0.03 0.00 -0.09
26 6.9546 0.00 -0.01 0.00 -0.02
27 6.9547 0.00 0.07 0.00 -0.05
28 6.9547 0.00 -0.05 0.00 -0.18
29 7.1234 0.00 -0.11 0.00 -0.20
30 7.1235 0.00 -0.15 0.00 0.45
31 7.9398 0.00 0.05 0.00 0.02
32 7.9399 0.00 -0.10 0.00 -0.01
33 7.9946 0.00 -0.11 0.00 0.08
34 8.1888 0.00 -0.04 0.00 0.05
35 8.7835 0.00 0.18 0.00 -0.11
36 8.9587 0.00 0.04 0.00 0.13
37 9.8980 0.00 0.25 0.00 0.03
38 9.9582 0.00 -0.08 0.00 0.10
39 10.0837 0.00 0.16 0.00 -0.01
40 10.1710 0.00 0.06 0.00 -0.03
41 10.1710 0.00 -0.03 0.00 -0.05
42 10.1711 0.00 0.02 0.00 -0.02
43 10.1711 0.00 -0.10 0.00 -0.13
44 10.1792 0.00 0.05 0.00 -0.04
45 10.1792 0.00 -0.03 0.00 -0.11
46 10.1792 0.00 -0.06 0.00 -0.07
47 10.1793 0.00 -0.01 0.00 -0.03
48 10.7083 0.00 0.00 0.00 -0.20
49 11.0907 0.00 0.14 0.00 -0.12
50 11.0911 0.00 0.12 0.00 0.05
51 11.0912 0.00 0.07 0.00 -0.16
52 11.0912 0.00 -0.00 0.00 -0.14
53 11.0913 0.00 0.28 0.00 -0.01
54 11.1621 0.00 0.02 0.00 0.04
55 11.1621 0.00 0.08 0.00 -0.10
56 11.1622 0.00 0.09 0.00 -0.17
57 11.1622 0.00 0.19 0.00 0.14
58 11.2059 0.00 -0.15 0.00 0.22
59 11.9098 0.00 -0.04 0.00 -0.03
60 11.9099 0.00 -0.08 0.00 -0.17
61 11.9099 0.00 0.06 0.00 0.02
62 11.9099 0.00 -0.03 0.00 -0.05
63 11.9595 0.00 0.07 0.00 -0.22
64 12.1232 0.00 0.08 0.00 -0.04
65 12.7371 0.00 -0.09 0.00 0.06
66 12.7371 0.00 -0.08 0.00 0.02
67 12.7371 0.00 0.11 0.00 -0.08
68 12.7371 0.00 0.04 0.00 -0.03
69 12.9370 0.00 -0.16 0.00 0.18
70 13.0215 0.00 -0.09 0.00 -0.05
71 13.0216 0.00 -0.06 0.00 0.19
72 13.0216 0.00 0.12 0.00 -0.04
73 13.0216 0.00 0.15 0.00 0.07
74 13.0784 0.00 -0.08 0.00 -0.01
75 13.0785 0.00 -0.11 0.00 0.04
76 13.0785 0.00 0.02 0.00 0.03
77 13.0786 0.00 0.00 0.00 0.06
78 13.0812 0.00 -0.16 0.00 -0.11
79 13.0812 0.00 0.29 0.00 0.09
80 13.0812 0.00 -0.01 0.00 -0.07
81 13.0812 0.00 0.25 0.00 0.01
82 13.0813 0.00 0.14 0.00 -0.03
83 13.0813 0.00 0.02 0.00 -0.17
84 16.1860 0.00 -0.14 0.00 0.13
85 16.1861 0.00 -0.18 0.00 -0.06
86 16.1861 0.00 -0.26 0.00 0.00
87 16.1861 0.00 -0.12 0.00 -0.01
88 16.9665 0.00 -0.09 0.00 0.29
89 16.9666 0.00 0.02 0.00 -0.14
90 16.9666 0.00 0.18 0.00 0.14
91 18.0591 0.00 0.03 0.00 -0.03
92 18.0592 0.00 0.02 0.00 0.09
93 18.0592 0.00 -0.12 0.00 0.08
94 18.0592 0.00 0.05 0.00 0.15
95 18.9325 0.00 0.05 0.00 -0.06
96 18.9325 0.00 0.06 0.00 0.06
97 18.9325 0.00 0.13 0.00 -0.07
98 18.9488 0.00 -0.06 0.00 0.11
99 18.9489 0.00 -0.23 0.00 -0.05
100 18.9489 0.00 -0.07 0.00 -0.01
101 18.9957 0.00 0.03 0.00 0.08
102 18.9957 0.00 0.05 0.00 0.15
103 18.9958 0.00 -0.06 0.00 0.03
104 19.0211 0.00 0.03 0.00 -0.03
105 19.0211 0.00 -0.15 0.00 0.04
106 19.0211 0.00 0.13 0.00 0.10
107 19.0662 0.00 -0.04 0.00 -0.30
108 19.0663 0.00 -0.21 0.00 -0.09
109 19.0663 0.00 -0.10 0.00 0.00
110 19.0663 0.00 -0.13 0.00 0.00
111 19.1427 0.00 -0.06 0.00 -0.22
112 19.1427 0.00 -0.09 0.00 0.06
113 19.1428 0.00 0.23 0.00 -0.02
114 19.8199 0.00 -0.08 0.00 0.10
115 19.8199 0.00 -0.11 0.00 0.12
116 19.8199 0.00 0.15 0.00 -0.15
117 20.0765 0.00 0.04 0.00 0.14
118 20.0765 0.00 0.04 0.00 0.06
119 20.0766 0.00 -0.03 0.00 0.10
120 20.0766 0.00 0.12 0.00 0.20
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.
609221 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.355 44.355 44.355 ecceobj 0.082 0.082 0.082 incobj 0.491 0.491 0.491 qmin 39.510 39.511 39.510 qmax 48.700 48.721 48.704 amean 43.988 43.988 43.988 amin 43.642 43.640 43.642 amax 44.365 44.365 44.364 emean 0.082 0.082 0.082 emin 0.064 0.064 0.064 emax 0.099 0.098 0.099 imean 1.465 1.465 1.465 imin 0.516 0.516 0.515 imax 2.201 2.201 2.201 excite_mean 0.086 0.086 0.086 fracstop 1.000 1.000 1.000 cjmean 3.092 3.092 3.092 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 199.1 199.2 199.2 kozaiamp 180.0 180.0 180.0