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: 530955 # Created Sun Nov 24 02:07:23 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 120 observations of 120 # Arc: 13.98y # First observation: 2010/05/06 # Last observation: 2024/04/27 # Chi-squared of fit: 127.53 DOF: 234 RMS: 0.18 # Min/Max residuals: -0.61 1.54 # Exact a, adot, b, bdot, g, gdot: 1.718572E-05 2.671886E-02 7.468134E-06 1.198435E-02 2.470990E-02 -3.944130E-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 10.450610 117.923894 -0.964022 -0.054735 0.296509 2455322.825276 # Heliocentric elements and errors Epoch: 2455322.5000 = 2010/05/06 Mean Anomaly: 353.34106 +/- 0.000 Argument of Peri: 44.78903 +/- 0.000 Long of Asc Node: 96.87775 +/- 0.000 Inclination: 25.95609 +/- 0.000 Eccentricity: 0.46167151 +/- 0.0000 Semi-Major Axis: 73.20183465 +/- 0.0000 Time of Perihelion: 2459553.8986 +/- 0.0 Perihelion: 39.40663334 +/- 0.0000 Aphelion: 106.99703596 +/- 0.0000 Period (y) 626.3126 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -19.34459665 +/- 0.0000 Ecliptic Y 34.44415381 +/- 0.0000 Ecliptic Z 7.34102722 +/- 0.0000 Ecliptic XDOT -0.00229994 +/- 0.0000 Ecliptic YDOT -0.00197295 +/- 0.0000 Ecliptic ZDOT 0.00122653 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.18097273 +/- 0.0000 Geocenter to KBO 40.46975260 +/- 0.0000 # Hcoef: 6.06
The following table shows the complete astrometric record for 530955. 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 (530955) followed by the observatory code and reference code for the source of the astrometry.
2010 05 06.32451 08 09 41.307 +30 48 02.68 21.9G 530955 F51 C~2qb0 2010 05 11.26889 08 09 56.951 +30 46 36.86 22.5G 530955 F51 C~2qb0 2010 05 11.27779 08 09 56.973 +30 46 36.70 22.4G 530955 F51 C~2qb0 2010 05 12.26835 08 10 00.425 +30 46 18.88 22.2G 530955 F51 C~2qb0 2010 05 12.27699 08 10 00.458 +30 46 18.51 21.8G 530955 F51 C~2qb0 2010 11 08.64733 08 26 12.250 +30 28 22.37 21.9G 530955 F51 C~2qb0 2010 11 09.63363 08 26 12.024 +30 28 46.60 22.3G 530955 F51 C~2qb0 2011 12 16.52039 08 32 50.217 +31 02 49.24 21.8G 530955 F51 C~2qb0 2011 12 16.55848 08 32 50.058 +31 02 50.71 21.8i 530955 F51 C~1w3o 2011 12 23.63588 08 32 20.641 +31 06 36.95 22.2r 530955 F51 C~1w3o 2012 01 05.58016 08 31 18.134 +31 13 20.66 22.1G 530955 F51 C~2qb0 2012 01 28.46517 08 29 11.764 +31 23 46.07 22.0w 530955 F51 C~1w3o 2012 01 28.47918 08 29 11.683 +31 23 46.24 22.1w 530955 F51 C~1w3o 2012 01 28.49314 08 29 11.603 +31 23 46.53 22.1w 530955 F51 C~1w3o 2012 01 28.50707 08 29 11.528 +31 23 47.03 22.1w 530955 F51 C~1w3o 2012 04 04.31599 08 24 48.045 +31 32 47.38 21.9G 530955 F51 C~2qb0 2013 02 01.43422 08 36 55.438 +31 41 20.90 21.7r 530955 F51 C~1w3o 2013 02 01.45917 08 36 55.292 +31 41 21.09 21.2i 530955 F51 C~1w3o 2013 02 08.32775 08 36 17.010 +31 43 49.36 22.4G 530955 F51 C~2qb0 2013 02 14.31611 08 35 44.636 +31 45 41.11 21.8r 530955 F51 C~1w3p 2013 02 14.32816 08 35 44.563 +31 45 41.55 22.0r 530955 F51 C~1w3p 2013 12 25.63135 08 48 30.990 +31 35 50.60 22.4G 530955 F51 C~2qb0 2013 12 25.64170 08 48 30.908 +31 35 50.88 21.9G 530955 F51 C~2qb0 2014 01 21.53596 08 46 14.316 +31 50 17.33 21.9r 530955 F51 C~1w3p 2014 03 02.24436 08 42 41.620 +32 03 35.99 21.9w 530955 F51 C~1w3p 2014 03 02.25583 08 42 41.584 +32 03 35.91 22.0w 530955 F51 C~1w3p 2014 03 02.26730 08 42 41.546 +32 03 36.39 21.9w 530955 F51 C~1w3p 2014 03 02.27876 08 42 41.479 +32 03 36.25 21.9w 530955 F51 C~1w3p 2014 12 30.46724 08 56 28.894 +31 49 37.94 22.0G 530955 F51 C~2qb0 2015 02 13.29415 08 52 28.541 +32 11 37.87 22.3G 530955 F51 C~2qb0 2015 02 13.30748 08 52 28.448 +32 11 38.24 22.5G 530955 F51 C~2qb0 2015 02 13.32090 08 52 28.388 +32 11 38.38 22.4G 530955 F51 C~2qb0 2015 02 13.33425 08 52 28.347 +32 11 38.94 22.5G 530955 F51 C~2qb0 2015 03 23.32967 08 49 39.702 +32 17 52.53 21.8G 530955 F51 C~2qb0 2015 03 23.34354 08 49 39.672 +32 17 52.65 22.0G 530955 F51 C~2qb0 2015 03 23.35842 08 49 39.620 +32 17 52.76 21.8G 530955 F51 C~2qb0 2015 03 23.37227 08 49 39.587 +32 17 52.55 21.6G 530955 F51 C~2qb0 2015 03 24.37161 08 49 36.673 +32 17 51.39 21.9G 530955 F51 C~2qb0 2015 03 24.38424 08 49 36.626 +32 17 51.21 21.9G 530955 F51 C~2qb0 2015 03 24.39677 08 49 36.595 +32 17 51.20 22.0G 530955 F51 C~2qb0 2015 03 24.40934 08 49 36.556 +32 17 51.12 22.2G 530955 F51 C~2qb0 2015 12 07.51060 09 06 08.518 +31 44 45.61 22.2G 530955 F51 C~2qb0 2015 12 07.52282 09 06 08.487 +31 44 46.16 22.0G 530955 F51 C~2qb0 2015 12 07.53506 09 06 08.463 +31 44 46.50 22.1G 530955 F51 C~2qb0 2015 12 07.54732 09 06 08.441 +31 44 47.12 22.3G 530955 F51 C~2qb0 2016 01 13.43416 09 03 45.218 +32 06 58.70 22.0G 530955 F51 C~2qb0 2016 01 13.44498 09 03 45.155 +32 06 59.09 21.9G 530955 F51 C~2qb0 2016 01 13.45571 09 03 45.098 +32 06 59.28 22.0G 530955 F51 C~2qb0 2016 01 13.46647 09 03 45.048 +32 06 59.79 22.2G 530955 F51 C~2qb0 2016 01 14.51713 09 03 39.568 +32 07 35.72 21.8G 530955 F51 C~2qb0 2016 01 14.53069 09 03 39.496 +32 07 36.05 22.0G 530955 F51 C~2qb0 2016 01 14.54437 09 03 39.427 +32 07 36.73 21.5G 530955 F51 C~2qb0 2016 01 17.40099 09 03 24.365 +32 09 12.94 20.9G 530955 F51 C~2qb0 2016 02 06.37714 09 01 33.115 +32 19 04.48 22.1G 530955 F51 C~2qb0 2016 02 06.38770 09 01 33.057 +32 19 04.81 22.2G 530955 F51 C~2qb0 2016 02 06.39823 09 01 32.988 +32 19 05.04 22.1G 530955 F51 C~2qb0 2016 02 06.40885 09 01 32.934 +32 19 05.29 22.2G 530955 F51 C~2qb0 2016 02 14.33857 09 00 48.622 +32 22 11.14 21.9G 530955 F51 C~2qb0 2016 02 14.35030 09 00 48.555 +32 22 11.43 21.6G 530955 F51 C~2qb0 2016 02 14.36192 09 00 48.463 +32 22 11.17 21.5G 530955 F51 C~2qb0 2016 02 29.30615 08 59 30.384 +32 26 28.97 530955 F51 C~2qb0 2016 02 29.31852 08 59 30.328 +32 26 29.07 530955 F51 C~2qb0 2016 02 29.33101 08 59 30.250 +32 26 29.29 530955 F51 C~2qb0 2016 02 29.34363 08 59 30.194 +32 26 29.48 530955 F51 C~2qb0 2016 03 04.24447 08 59 11.660 +32 27 15.18 21.9G 530955 F51 C~2qb0 2016 03 04.25677 08 59 11.593 +32 27 15.34 22.2G 530955 F51 C~2qb0 2016 03 04.26917 08 59 11.526 +32 27 15.38 21.9G 530955 F51 C~2qb0 2016 03 04.28158 08 59 11.482 +32 27 15.59 530955 F51 C~2qb0 2016 05 02.32332 08 57 18.612 +32 20 52.92 21.8G 530955 F51 C~2qb0 2016 05 29.29388 08 58 33.021 +32 09 22.12 22.7G 530955 F51 C~2qb0 2016 05 29.30704 08 58 33.097 +32 09 21.86 22.0G 530955 F51 C~2qb0 2016 11 08.62351 09 14 40.031 +31 36 50.44 21.7G 530955 F51 C~2qb0 2016 11 08.63425 09 14 39.932 +31 36 50.02 21.9G 530955 F51 C~2qb0 2017 01 31.52023 09 10 29.903 +32 24 46.33 21.8G 530955 F51 C~2qb0 2017 01 31.53095 09 10 29.839 +32 24 46.37 21.6G 530955 F51 C~2qb0 2017 01 31.54169 09 10 29.772 +32 24 46.83 22.4G 530955 F51 C~2qb0 2017 01 31.55241 09 10 29.732 +32 24 46.94 22.1G 530955 F51 C~2qb0 2017 02 14.47768 09 09 11.509 +32 30 47.56 21.8G 530955 F51 C~2qb0 2017 02 14.49057 09 09 11.440 +32 30 47.74 22.6G 530955 F51 C~2qb0 2017 02 14.51639 09 09 11.313 +32 30 48.38 22.5G 530955 F51 C~2qb0 2017 03 28.35589 09 06 05.896 +32 37 33.88 22.4G 530955 F51 C~2qb0 2017 03 28.37831 09 06 05.835 +32 37 33.66 22.0G 530955 F51 C~2qb0 2017 03 28.38955 09 06 05.810 +32 37 33.76 21.9G 530955 F51 C~2qb0 2018 01 17.58424 09 20 17.196 +32 22 45.57 22.1G 530955 F51 C~2qb0 2018 01 17.59522 09 20 17.149 +32 22 46.08 22.3G 530955 F51 C~2qb0 2018 01 17.60618 09 20 17.073 +32 22 46.10 22.0G 530955 F51 C~2qb0 2018 01 17.61710 09 20 16.988 +32 22 46.24 22.1G 530955 F51 C~2qb0 2018 03 19.24821 09 15 03.323 +32 44 30.03 21.9G 530955 F51 C~2qb0 2018 03 19.25922 09 15 03.288 +32 44 30.06 21.7G 530955 F51 C~2qb0 2018 03 19.27024 09 15 03.229 +32 44 30.03 22.1G 530955 F51 C~2qb0 2018 03 19.28128 09 15 03.198 +32 44 30.13 22.3G 530955 F51 C~2qb0 2018 04 10.13799 09 14 01.334 +32 43 09.57 21.9R 530955 G37 C~2bGn 2018 04 10.26692 09 14 01.098 +32 43 08.46 530955 G37 C~2bGn 2020 12 24.48127 09 47 24.910 +32 10 23.57 21.6i 530955 F51 C~4TuZ 2020 12 24.49299 09 47 24.910 +32 10 24.35 21.7i 530955 F51 C~4TuZ 2020 12 24.51660 09 47 24.817 +32 10 25.38 21.7i 530955 F51 C~4TuZ 2021 03 20.149470 09 40 29.393 +32 52 41.39 22.0G 530955 G37 C~4mlv 2021 03 20.189360 09 40 29.213 +32 52 41.53 530955 G37 C~4mlv 2021 03 20.228420 09 40 29.045 +32 52 41.84 530955 G37 C~4mlv 2021 11 10.592337 09 56 02.674 +31 41 12.86 22.0w 530955 F51 C~5FZr 2021 11 10.603301 09 56 02.706 +31 41 13.13 21.8w 530955 F51 C~5FZr 2021 11 10.614286 09 56 02.731 +31 41 13.28 22.0w 530955 F51 C~5FZr 2022 12 02.554816 10 04 44.950 +31 46 46.31 21.8w 530955 F52 C~69Pv 2022 12 02.566172 10 04 44.946 +31 46 46.63 21.9w 530955 F52 C~69Pv 2022 12 02.577569 10 04 44.943 +31 46 47.15 21.7w 530955 F52 C~69Pv 2022 12 02.588980 10 04 44.954 +31 46 47.44 21.8w 530955 F52 C~69Pv 2023 11 24.599031 10 12 57.116 +31 34 34.69 21.9w 530955 F51 C~7b1V 2023 11 24.609970 10 12 57.125 +31 34 35.01 21.9w 530955 F51 C~7b1V 2023 11 24.621527 10 12 57.132 +31 34 35.26 22.0w 530955 F51 C~7b1V 2024 02 01.590426 10 10 12.130 +32 21 16.69 21.9w 530955 F52 C~7uOD 2024 02 01.600823 10 10 12.084 +32 21 16.84 21.8w 530955 F52 C~7uOD 2024 02 01.611199 10 10 12.021 +32 21 17.45 21.7w 530955 F52 C~7uOD 2024 02 01.621576 10 10 11.957 +32 21 17.58 22.0w 530955 F52 C~7uOD 2024 02 13.558802 10 09 08.454 +32 28 28.79 21.7w 530955 F52 C~7uOD 2024 02 13.569257 10 09 08.380 +32 28 29.06 21.8w 530955 F52 C~7uOD 2024 02 13.579727 10 09 08.327 +32 28 29.58 21.7w 530955 F52 C~7uOD 2024 02 13.590166 10 09 08.277 +32 28 29.76 21.9w 530955 F52 C~7uOD 2024 04 27.363050 10 04 06.906 +32 37 45.01 21.6i 530955 F52 C~80wY 2024 04 27.372853 10 04 06.898 +32 37 44.89 21.6i 530955 F52 C~80wY 2024 04 27.392471 10 04 06.878 +32 37 44.49 21.5i 530955 F52 C~80wY
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 -0.01 0.00 0.04
2 0.0135 0.00 0.06 0.00 0.05
3 0.0136 0.00 -0.06 0.00 0.05
4 0.0163 0.00 0.14 0.00 0.02
5 0.0163 0.00 0.18 0.00 -0.19
6 0.5101 0.00 -0.18 0.00 0.04
7 0.5128 0.00 -0.09 0.00 -0.00
8 1.6131 0.00 0.11 0.00 -0.07
9 1.6132 0.00 -0.01 0.00 0.18
10 1.6326 0.00 -0.55 0.00 0.02
11 1.6681 0.00 -0.06 0.00 -0.17
12 1.7307 0.00 -0.14 0.00 0.26
13 1.7307 0.00 -0.15 0.00 0.10
14 1.7308 0.00 -0.14 0.00 0.06
15 1.7308 0.00 -0.06 0.00 0.24
16 1.9137 0.00 0.15 0.00 0.00
17 2.7436 0.00 -0.01 0.00 0.26
18 2.7437 0.00 -0.06 0.00 -0.13
19 2.7625 0.00 0.19 0.00 -0.18
20 2.7789 0.00 0.10 0.00 0.05
21 2.7789 0.00 -0.03 0.00 0.28
22 3.6394 0.00 0.36 0.00 0.03
23 3.6395 0.00 -0.19 0.00 -0.04
24 3.7131 0.00 0.12 0.00 0.22
25 3.8218 0.00 -0.29 0.00 -0.01
26 3.8219 0.00 -0.03 0.00 -0.21
27 3.8219 0.00 0.19 0.00 0.15
28 3.8219 0.00 -0.01 0.00 -0.11
29 4.6520 0.00 0.33 0.00 -0.01
30 4.7747 0.00 -0.04 0.00 -0.07
31 4.7748 0.00 -0.33 0.00 0.02
32 4.7748 0.00 -0.10 0.00 -0.12
33 4.7748 0.00 0.40 0.00 0.16
34 4.8789 0.00 -0.09 0.00 -0.19
35 4.8789 0.00 0.10 0.00 -0.05
36 4.8789 0.00 0.01 0.00 0.08
37 4.8790 0.00 0.15 0.00 -0.11
38 4.8817 0.00 0.10 0.00 0.14
39 4.8818 0.00 -0.04 0.00 -0.02
40 4.8818 0.00 0.05 0.00 -0.00
41 4.8818 0.00 0.02 0.00 -0.05
42 5.5885 0.00 0.00 0.00 -0.12
43 5.5885 0.00 -0.04 0.00 -0.00
44 5.5885 0.00 0.02 0.00 -0.10
45 5.5886 0.00 0.12 0.00 0.09
46 5.6896 0.00 0.04 0.00 -0.03
47 5.6896 0.00 -0.04 0.00 -0.01
48 5.6896 0.00 -0.05 0.00 -0.19
49 5.6896 0.00 0.05 0.00 -0.05
50 5.6925 0.00 -0.10 0.00 0.02
51 5.6926 0.00 -0.09 0.00 -0.11
52 5.6926 0.00 -0.03 0.00 0.10
53 5.7004 0.00 0.29 0.00 0.34
54 5.7551 0.00 -0.07 0.00 -0.05
55 5.7551 0.00 -0.03 0.00 0.01
56 5.7552 0.00 -0.16 0.00 -0.03
57 5.7552 0.00 -0.05 0.00 -0.05
58 5.7769 0.00 0.02 0.00 -0.06
59 5.7769 0.00 0.00 0.00 -0.02
60 5.7770 0.00 -0.40 0.00 -0.53
61 5.8179 0.00 0.07 0.00 -0.03
62 5.8179 0.00 0.15 0.00 -0.09
63 5.8180 0.00 -0.09 0.00 -0.04
64 5.8180 0.00 0.02 0.00 -0.01
65 5.8287 0.00 0.03 0.00 -0.03
66 5.8287 0.00 -0.11 0.00 -0.01
67 5.8287 0.00 -0.24 0.00 -0.11
68 5.8288 0.00 -0.02 0.00 -0.03
69 5.9904 0.00 0.12 0.00 0.06
70 6.0643 0.00 -0.18 0.00 -0.15
71 6.0643 0.00 0.15 0.00 -0.02
72 6.5114 0.00 1.54 0.00 0.67
73 6.5115 0.00 -0.13 0.00 -0.03
74 6.7411 0.00 0.01 0.00 0.16
75 6.7412 0.00 -0.03 0.00 -0.11
76 6.7412 0.00 -0.11 0.00 0.04
77 6.7412 0.00 0.21 0.00 -0.15
78 6.7793 0.00 -0.18 0.00 0.13
79 6.7794 0.00 -0.13 0.00 0.02
80 6.7794 0.00 0.14 0.00 0.10
81 6.8940 0.00 -0.22 0.00 0.10
82 6.8941 0.00 -0.15 0.00 -0.04
83 6.8941 0.00 -0.04 0.00 0.10
84 7.7023 0.00 0.17 0.00 -0.12
85 7.7023 0.00 0.33 0.00 0.00
86 7.7023 0.00 0.05 0.00 -0.36
87 7.7024 0.00 -0.36 0.00 -0.61
88 7.8684 0.00 -0.09 0.00 -0.01
89 7.8684 0.00 0.03 0.00 -0.02
90 7.8684 0.00 -0.20 0.00 -0.09
91 7.8685 0.00 -0.01 0.00 -0.03
92 7.9283 0.00 -0.14 0.00 -0.07
93 7.9287 0.00 -0.17 0.00 0.19
94 10.6370 0.00 -0.27 0.00 -0.15
95 10.6370 0.00 0.25 0.00 0.14
96 10.6371 0.00 -0.08 0.00 0.19
97 10.8715 0.00 -0.02 0.00 -0.03
98 10.8716 0.00 -0.16 0.00 -0.12
99 10.8717 0.00 -0.16 0.00 -0.02
100 11.5161 0.00 -0.21 0.00 0.16
101 11.5162 0.00 -0.09 0.00 0.16
102 11.5162 0.00 -0.08 0.00 0.03
103 12.5756 0.00 -0.02 0.00 0.11
104 12.5756 0.00 -0.07 0.00 0.02
105 12.5756 0.00 -0.10 0.00 0.13
106 12.5757 0.00 0.07 0.00 0.01
107 13.5531 0.00 -0.03 0.00 0.06
108 13.5531 0.00 -0.08 0.00 0.03
109 13.5532 0.00 -0.17 0.00 -0.08
110 13.7420 0.00 0.09 0.00 0.15
111 13.7420 0.00 0.22 0.00 -0.10
112 13.7421 0.00 0.08 0.00 0.11
113 13.7421 0.00 -0.07 0.00 -0.15
114 13.7748 0.00 0.24 0.00 0.07
115 13.7748 0.00 0.00 0.00 -0.00
116 13.7748 0.00 0.08 0.00 0.18
117 13.7749 0.00 0.19 0.00 0.02
118 13.9768 0.00 0.00 0.00 -0.11
119 13.9769 0.00 0.07 0.00 -0.04
120 13.9769 0.00 0.13 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.
530955 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 73.931 73.931 73.932 ecceobj 0.466 0.466 0.466 incobj 25.906 25.906 25.906 qmin 38.235 38.244 38.236 qmax 111.164 110.913 110.981 amean 73.682 73.649 73.704 amin 72.640 72.653 72.673 amax 75.099 74.953 75.074 emean 0.466 0.465 0.464 emin 0.449 0.450 0.450 emax 0.481 0.480 0.480 imean 24.275 24.297 24.407 imin 23.823 23.807 23.809 imax 25.046 25.015 25.077 excite_mean 0.622 0.621 0.622 fracstop 1.000 1.000 1.000 cjmean 2.932 2.932 2.932 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 180.1 181.3 180.1 kozaiamp 136.8 138.8 137.3