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: 500879
# Created Wed Dec 25 02:07:09 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 121 observations of 121
# Arc: 9.44y
# First observation: 2011/01/30
# Last observation: 2020/07/08
# Chi-squared of fit: 124.39 DOF: 236 RMS: 0.18
# Min/Max residuals: -0.64 0.55
# Exact a, adot, b, bdot, g, gdot:
1.446200E-05 1.725968E-02 -2.048080E-06 -3.668425E-03 1.989631E-02 7.092455E-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
7.048328 -123.473773 0.949144 -0.033775 0.273049 2455592.109726
# Heliocentric elements and errors
Epoch: 2455592.5000 = 2011/01/31
Mean Anomaly: 46.47126 +/- 0.000
Argument of Peri: 59.76882 +/- 0.000
Long of Asc Node: 85.99570 +/- 0.000
Inclination: 13.73832 +/- 0.000
Eccentricity: 0.38211540 +/- 0.0000
Semi-Major Axis: 58.95735461 +/- 0.0000
Time of Perihelion: 2434247.9316 +/- 0.0
Perihelion: 36.42884123 +/- 0.0000
Aphelion: 81.48586799 +/- 0.0000
Period (y) 452.7049 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -28.14720782 +/- 0.0000
Ecliptic Y -40.85538201 +/- 0.0000
Ecliptic Z 6.16719440 +/- 0.0000
Ecliptic XDOT 0.00141163 +/- 0.0000
Ecliptic YDOT -0.00216348 +/- 0.0000
Ecliptic ZDOT -0.00038121 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 49.99434991 +/- 0.0000
Geocenter to KBO 50.26029508 +/- 0.0000
# Hcoef: 5.81
The following table shows the complete astrometric record for 500879. 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 (500879) followed by the observatory code and reference code for the source of the astrometry.
2011 01 30.608960 15 43 34.784 -12 30 57.71 22.1G 500879 F51 C~42z5 2011 05 31.387698 15 39 33.707 -12 10 29.76 22.4G 500879 F51 C~42z5 2011 06 06.396610 15 39 10.059 -12 09 35.73 22.5G 500879 F51 C~42z5 2011 06 06.411061 15 39 10.022 -12 09 35.28 22.3G 500879 F51 C~42z5 2011 06 06.425482 15 39 09.961 -12 09 34.86 22.7G 500879 F51 C~42z5 2011 06 06.461142 15 39 09.810 -12 09 34.99 20.7G 500879 F51 C~42z5 2012 05 21.480473 15 44 00.615 -12 38 19.14 23.4G 500879 F51 C~42z5 2013 04 09.53941 15 50 24.999 -13 12 49.09 22.6r 500879 568 C~1XRc 2013 04 10.50850 15 50 22.104 -13 12 36.67 22.7r 500879 568 C~1XRc 2013 04 10.54891 15 50 21.975 -13 12 36.15 22.8r 500879 568 C~1XRc 2013 04 15.549878 15 50 06.274 -13 11 31.25 23.3G 500879 F51 C~42z6 2013 04 19.56175 15 49 52.813 -13 10 38.85 22.7r 500879 568 C~1XRc 2013 05 07.43997 15 48 45.914 -13 06 47.14 22.7r 500879 568 C~1XRc 2013 05 07.48420 15 48 45.737 -13 06 46.61 22.7r 500879 568 C~1XRc 2013 05 07.52439 15 48 45.574 -13 06 46.08 22.7r 500879 568 C~1XRc 2013 05 08.443966 15 48 41.906 -13 06 34.89 22.7G 500879 F51 C~42z6 2013 05 08.458047 15 48 41.859 -13 06 34.82 22.5G 500879 F51 C~42z6 2013 05 08.472146 15 48 41.795 -13 06 34.71 22.6G 500879 F51 C~42z6 2013 05 08.486276 15 48 41.740 -13 06 34.69 22.5G 500879 F51 C~42z6 2013 05 09.48456 15 48 37.745 -13 06 21.81 500879 568 C~1XRc 2013 06 04.37273 15 46 53.073 -13 01 46.16 22.7r 500879 568 C~1XRc 2013 06 04.378719 15 46 53.043 -13 01 46.06 22.7G 500879 F51 C~42z6 2013 06 04.393720 15 46 52.991 -13 01 46.42 22.8G 500879 F51 C~42z6 2013 06 04.408361 15 46 52.944 -13 01 45.93 23.5G 500879 F51 C~42z6 2013 06 17.352162 15 46 04.421 -13 00 14.55 21.9G 500879 F51 C~42z6 2013 07 02.32839 15 45 16.282 -12 59 19.65 22.8r 500879 568 C~1XRc 2013 07 03.36611 15 45 13.353 -12 59 18.02 22.7r 500879 568 C~1XRc 2014 02 28.568436 15 55 11.687 -13 44 08.87 22.7G 500879 F51 C~42z6 2014 03 06.58112 15 55 09.907 -13 43 28.56 22.8r 500879 568 C~1XRc 2014 04 05.59546 15 54 20.288 -13 38 29.51 23.0r 500879 568 C~1XRc 2014 04 05.60128 15 54 20.267 -13 38 29.56 23.0r 500879 568 C~1XRc 2014 04 05.60639 15 54 20.242 -13 38 29.62 22.8r 500879 568 C~1XRc 2014 04 30.42867 15 52 58.848 -13 33 20.21 22.7r 500879 568 C~1XRc 2014 04 30.47995 15 52 58.650 -13 33 19.52 22.9r 500879 568 C~1XRc 2014 04 30.53172 15 52 58.446 -13 33 18.93 22.6r 500879 568 C~1XRc 2014 05 04.454352 15 52 43.438 -13 32 30.63 22.5G 500879 F51 C~42z6 2014 05 04.466284 15 52 43.401 -13 32 29.98 22.0G 500879 F51 C~42z6 2014 05 04.478203 15 52 43.360 -13 32 29.73 22.5G 500879 F51 C~42z6 2014 05 05.49140 15 52 39.403 -13 32 17.45 22.9r 500879 568 C~1XRc 2014 05 06.42350 15 52 35.762 -13 32 06.00 22.7r 500879 568 C~1XRc 2014 05 06.43939 15 52 35.699 -13 32 05.80 22.9r 500879 568 C~1XRc 2014 05 06.49023 15 52 35.501 -13 32 05.20 22.6r 500879 568 C~1XRc 2014 05 06.56630 15 52 35.192 -13 32 04.30 500879 568 C~1XRc 2014 05 22.54556 15 51 30.845 -13 29 01.15 22.8r 500879 568 C~1XRc 2014 05 25.50454 15 51 18.814 -13 28 30.45 22.7r 500879 568 C~2LSW 2014 06 21.387856 15 49 36.201 -13 25 06.09 22.8G 500879 F51 C~42z6 2014 07 01.37930 15 49 04.311 -13 24 31.36 22.8r 500879 568 C~1XRc 2014 07 18.34894 15 48 22.415 -13 24 33.43 23.0r 500879 568 C~1XRc 2014 07 26.273173 15 48 09.106 -13 25 01.73 22.8G 500879 F51 C~42z6 2014 07 26.28482 15 48 09.096 -13 25 01.87 22.8r 500879 568 C~1XRc 2014 07 26.297114 15 48 09.081 -13 25 02.03 22.8G 500879 F51 C~42z6 2014 07 26.309051 15 48 09.059 -13 25 01.83 22.5G 500879 F51 C~42z6 2015 02 27.591776 15 58 50.546 -14 08 12.05 23.1G 500879 F51 C~42z6 2015 03 22.60757 15 58 32.265 -14 05 16.46 22.7r 500879 568 C~1XRc 2015 03 31.581913 15 58 14.507 -14 03 44.45 23.2G 500879 F51 C~42z6 2015 04 21.53176 15 57 14.189 -13 59 40.04 22.7r 500879 568 C~1XRc 2015 04 21.58936 15 57 13.992 -13 59 39.25 22.8r 500879 568 C~1XRc 2015 04 24.606878 15 57 03.552 -13 59 02.59 22.7G 500879 F51 C~42z6 2015 04 25.549606 15 57 00.184 -13 58 51.36 22.2G 500879 F51 C~42z6 2015 06 16.408817 15 53 37.752 -13 50 13.67 22.5G 500879 F51 C~42z6 2015 06 17.384043 15 53 34.237 -13 50 08.21 23.3G 500879 F51 C~42z6 2015 06 23.361470 15 53 13.329 -13 49 37.86 22.6G 500879 F51 C~42z6 2015 08 11.32974 15 51 36.457 -13 51 14.35 22.8r 500879 568 C~2LSW 2016 02 19.657548 16 02 23.325 -14 32 08.39 23.0G 500879 F51 C~42z6 2016 04 01.560241 16 01 49.754 -14 27 08.37 23.8G 500879 F51 C~42z6 2016 04 03.533504 16 01 45.050 -14 26 47.25 23.1G 500879 F51 C~42z6 2016 04 03.545402 16 01 45.008 -14 26 47.12 24.1G 500879 F51 C~42z6 2016 04 03.557322 16 01 44.960 -14 26 47.11 22.7G 500879 F51 C~42z6 2016 04 03.569259 16 01 44.966 -14 26 46.53 22.9G 500879 F51 C~42z6 2016 04 14.541450 16 01 14.578 -14 24 45.37 23.0G 500879 F51 C~42z6 2016 04 14.553359 16 01 14.531 -14 24 44.99 22.3G 500879 F51 C~42z6 2016 04 14.565252 16 01 14.495 -14 24 44.79 23.4G 500879 F51 C~42z6 2016 04 14.577126 16 01 14.478 -14 24 44.79 22.5G 500879 F51 C~42z6 2016 04 15.545126 16 01 11.460 -14 24 33.72 22.9G 500879 F51 C~42z6 2016 05 29.38862 15 58 25.822 -14 16 33.21 23.0w 500879 568 C~2LSW 2016 05 30.42964 15 58 21.644 -14 16 23.88 22.8w 500879 568 C~2LSW 2016 06 07.430720 15 57 50.058 -14 15 18.19 22.6G 500879 F51 C~42z6 2016 06 28.360336 15 56 35.700 -14 13 25.35 22.1G 500879 F51 C~42z6 2016 06 28.371730 15 56 35.667 -14 13 24.98 22.3G 500879 F51 C~42z6 2016 06 28.394533 15 56 35.620 -14 13 25.50 22.3G 500879 F51 C~42z6 2017 01 31.65347 16 05 28.125 -14 55 04.14 23.0w 500879 568 C~2LSW 2017 02 03.64979 16 05 34.791 -14 55 09.10 500879 568 C~2LSW 2017 04 04.594546 16 05 20.567 -14 49 52.15 23.6G 500879 F51 C~42z6 2017 06 24.378727 16 00 28.652 -14 37 18.34 22.8G 500879 F51 C~42z6 2017 07 15.269634 15 59 28.997 -14 36 42.56 22.7G 500879 F51 C~42z6 2018 03 18.578330 16 09 27.356 -15 15 03.96 22.6G 500879 F51 C~42z6 2018 03 18.589773 16 09 27.340 -15 15 03.44 22.6G 500879 F51 C~42z6 2018 03 18.612520 16 09 27.316 -15 15 03.54 23.6G 500879 F51 C~42z6 2018 07 11.332155 16 03 15.854 -14 59 46.51 22.1G 500879 F51 C~42z6 2018 07 11.345130 16 03 15.814 -14 59 46.37 22.4G 500879 F51 C~42z6 2018 07 11.371057 16 03 15.782 -14 59 46.73 22.3G 500879 F51 C~42z6 2019 05 30.434864 16 09 17.458 -15 25 45.44 23.3G 500879 F51 C~42z6 2019 06 01.411678 16 09 09.594 -15 25 28.92 23.0G 500879 F51 C~42z6 2019 06 01.423751 16 09 09.566 -15 25 28.97 22.8G 500879 F51 C~42z6 2019 06 01.435827 16 09 09.485 -15 25 28.88 23.6G 500879 F51 C~42z6 2019 06 08.366501 16 08 42.192 -15 24 36.28 23.6G 500879 F51 C~42z6 2019 06 08.376905 16 08 42.159 -15 24 36.27 23.1G 500879 F51 C~42z6 2019 06 08.387301 16 08 42.097 -15 24 35.83 23.2G 500879 F51 C~42z6 2019 06 08.397676 16 08 42.078 -15 24 35.79 22.6G 500879 F51 C~42z6 2019 06 25.379649 16 07 39.762 -15 23 00.12 23.0G 500879 F51 C~42z6 2019 07 06.310191 16 07 05.242 -15 22 27.83 22.7G 500879 F51 C~42z6 2019 07 06.323123 16 07 05.207 -15 22 27.74 23.5G 500879 F51 C~42z6 2019 07 06.336033 16 07 05.175 -15 22 27.65 23.0G 500879 F51 C~42z6 2019 07 06.348957 16 07 05.160 -15 22 27.94 22.6G 500879 F51 C~42z6 2020 05 28.409853 16 12 56.098 -15 47 57.90 22.5G 500879 F51 C~42z6 2020 05 28.422115 16 12 56.047 -15 47 58.45 23.5G 500879 F51 C~42z6 2020 05 28.434391 16 12 55.986 -15 47 58.17 23.3G 500879 F51 C~42z6 2020 05 28.446665 16 12 55.935 -15 47 58.04 22.6G 500879 F51 C~42z6 2020 06 14.400627 16 11 49.801 -15 45 57.10 23.0G 500879 F51 C~42z6 2020 06 17.357151 16 11 38.877 -15 45 40.67 23.0G 500879 F51 C~42z6 2020 06 17.369032 16 11 38.832 -15 45 40.67 22.6G 500879 F51 C~42z6 2020 06 17.380888 16 11 38.762 -15 45 40.90 22.9G 500879 F51 C~42z6 2020 06 21.349636 16 11 24.494 -15 45 20.44 23.0G 500879 F51 C~42z6 2020 06 21.361981 16 11 24.447 -15 45 20.23 22.7G 500879 F51 C~42z6 2020 06 21.374336 16 11 24.391 -15 45 20.33 23.4G 500879 F51 C~42z6 2020 06 21.386647 16 11 24.365 -15 45 20.26 22.7G 500879 F51 C~42z6 2020 06 23.338980 16 11 17.527 -15 45 11.02 22.9G 500879 F51 C~42z6 2020 06 23.348665 16 11 17.484 -15 45 11.42 22.7G 500879 F51 C~42z6 2020 06 23.358389 16 11 17.450 -15 45 11.17 22.2G 500879 F51 C~42z6 2020 06 23.368278 16 11 17.408 -15 45 11.05 22.8G 500879 F51 C~42z6 2020 07 08.301139 16 10 30.346 -15 44 28.40 22.5G 500879 F51 C~42z6
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 -0.14
2 0.3307 0.00 -0.26 0.00 -0.37
3 0.3471 0.00 -0.05 0.00 -0.21
4 0.3472 0.00 0.25 0.00 0.12
5 0.3472 0.00 0.19 0.00 0.42
6 0.3473 0.00 0.02 0.00 -0.01
7 1.3056 0.00 -0.13 0.00 -0.26
8 2.1901 0.00 0.01 0.00 0.06
9 2.1927 0.00 -0.03 0.00 0.07
10 2.1929 0.00 -0.09 0.00 0.07
11 2.2065 0.00 0.10 0.00 0.18
12 2.2175 0.00 0.00 0.00 0.02
13 2.2665 0.00 -0.06 0.00 0.14
14 2.2666 0.00 -0.03 0.00 0.11
15 2.2667 0.00 -0.03 0.00 0.14
16 2.2692 0.00 -0.15 0.00 -0.13
17 2.2693 0.00 -0.00 0.00 -0.23
18 2.2693 0.00 -0.10 0.00 -0.30
19 2.2693 0.00 -0.06 0.00 -0.46
20 2.2721 0.00 -0.05 0.00 0.06
21 2.3430 0.00 0.08 0.00 0.12
22 2.3430 0.00 -0.01 0.00 0.17
23 2.3430 0.00 0.11 0.00 -0.32
24 2.3431 0.00 0.28 0.00 0.05
25 2.3785 0.00 0.27 0.00 -0.04
26 2.4195 0.00 -0.04 0.00 0.10
27 2.4223 0.00 -0.01 0.00 0.15
28 3.0800 0.00 -0.05 0.00 0.14
29 3.0964 0.00 0.02 0.00 0.02
30 3.1786 0.00 0.14 0.00 0.26
31 3.1786 0.00 0.06 0.00 0.14
32 3.1786 0.00 -0.10 0.00 0.02
33 3.2466 0.00 0.06 0.00 0.03
34 3.2467 0.00 0.05 0.00 0.08
35 3.2469 0.00 -0.02 0.00 0.02
36 3.2576 0.00 0.05 0.00 -0.42
37 3.2577 0.00 0.20 0.00 0.08
38 3.2577 0.00 0.30 0.00 0.18
39 3.2605 0.00 0.07 0.00 0.00
40 3.2630 0.00 0.07 0.00 0.04
41 3.2631 0.00 0.08 0.00 0.05
42 3.2632 0.00 0.15 0.00 0.03
43 3.2634 0.00 0.07 0.00 -0.00
44 3.3072 0.00 -0.06 0.00 -0.01
45 3.3153 0.00 0.03 0.00 0.13
46 3.3889 0.00 -0.36 0.00 -0.08
47 3.4162 0.00 0.01 0.00 0.06
48 3.4627 0.00 -0.05 0.00 0.05
49 3.4844 0.00 -0.11 0.00 0.09
50 3.4844 0.00 -0.00 0.00 0.01
51 3.4844 0.00 0.04 0.00 -0.10
52 3.4845 0.00 -0.03 0.00 0.16
53 4.0766 0.00 0.19 0.00 -0.15
54 4.1396 0.00 -0.03 0.00 0.05
55 4.1642 0.00 -0.02 0.00 -0.20
56 4.2216 0.00 -0.03 0.00 -0.04
57 4.2217 0.00 0.01 0.00 0.04
58 4.2300 0.00 0.38 0.00 0.00
59 4.2326 0.00 -0.08 0.00 -0.23
60 4.3745 0.00 -0.05 0.00 0.12
61 4.3772 0.00 0.12 0.00 -0.10
62 4.3936 0.00 -0.64 0.00 0.06
63 4.5276 0.00 -0.05 0.00 -0.05
64 5.0542 0.00 0.42 0.00 0.02
65 5.1689 0.00 0.01 0.00 -0.15
66 5.1743 0.00 0.05 0.00 0.12
67 5.1744 0.00 -0.14 0.00 0.13
68 5.1744 0.00 -0.41 0.00 0.01
69 5.1744 0.00 0.14 0.00 0.46
70 5.2045 0.00 0.00 0.00 -0.23
71 5.2045 0.00 -0.14 0.00 0.02
72 5.2045 0.00 -0.13 0.00 0.08
73 5.2046 0.00 0.18 0.00 -0.06
74 5.2072 0.00 -0.25 0.00 -0.09
75 5.3273 0.00 0.05 0.00 -0.01
76 5.3301 0.00 0.02 0.00 0.01
77 5.3520 0.00 -0.16 0.00 0.03
78 5.4093 0.00 -0.12 0.00 -0.12
79 5.4093 0.00 -0.06 0.00 0.21
80 5.4094 0.00 0.33 0.00 -0.38
81 6.0042 0.00 0.05 0.00 -0.06
82 6.0124 0.00 0.17 0.00 -0.07
83 6.1766 0.00 -0.35 0.00 -0.23
84 6.3977 0.00 -0.64 0.00 0.12
85 6.4549 0.00 0.16 0.00 -0.00
86 7.1293 0.00 -0.05 0.00 -0.05
87 7.1293 0.00 -0.08 0.00 0.38
88 7.1294 0.00 -0.01 0.00 0.11
89 7.4435 0.00 -0.01 0.00 0.08
90 7.4435 0.00 -0.10 0.00 0.21
91 7.4436 0.00 0.45 0.00 -0.16
92 8.3281 0.00 -0.21 0.00 -0.18
93 8.3335 0.00 0.07 0.00 0.13
94 8.3335 0.00 0.39 0.00 -0.01
95 8.3335 0.00 -0.09 0.00 -0.02
96 8.3525 0.00 -0.06 0.00 -0.04
97 8.3525 0.00 0.07 0.00 -0.10
98 8.3526 0.00 -0.25 0.00 0.27
99 8.3526 0.00 0.08 0.00 0.23
100 8.3991 0.00 -0.20 0.00 0.05
101 8.4290 0.00 0.06 0.00 -0.10
102 8.4291 0.00 0.11 0.00 -0.03
103 8.4291 0.00 0.20 0.00 0.03
104 8.4291 0.00 0.55 0.00 -0.28
105 9.3246 0.00 0.09 0.00 0.47
106 9.3246 0.00 0.08 0.00 -0.19
107 9.3246 0.00 -0.09 0.00 -0.01
108 9.3247 0.00 -0.11 0.00 0.02
109 9.3711 0.00 -0.48 0.00 0.15
110 9.3792 0.00 0.02 0.00 -0.14
111 9.3792 0.00 0.01 0.00 -0.20
112 9.3793 0.00 -0.38 0.00 -0.50
113 9.3901 0.00 0.11 0.00 -0.11
114 9.3902 0.00 0.07 0.00 0.04
115 9.3902 0.00 -0.10 0.00 -0.12
116 9.3902 0.00 0.17 0.00 -0.11
117 9.3956 0.00 0.15 0.00 0.31
118 9.3956 0.00 0.02 0.00 -0.13
119 9.3956 0.00 0.03 0.00 0.08
120 9.3956 0.00 -0.08 0.00 0.15
121 9.4365 0.00 -0.23 0.00 -0.01
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.
500879 quality flag:2 Type: SCATNEAR11:4EEEEEE SCATNEAR axisobj 58.720 58.720 58.719 ecceobj 0.381 0.381 0.381 incobj 13.753 13.753 13.753 qmin 35.590 35.897 35.817 qmax 83.813 83.790 83.707 amean 59.108 59.100 59.098 amin 58.278 58.292 58.290 amax 60.129 60.121 60.119 emean 0.381 0.380 0.380 emin 0.366 0.368 0.364 emax 0.398 0.394 0.393 imean 12.311 12.499 12.478 imin 11.538 12.018 11.961 imax 12.980 13.002 13.217 excite_mean 0.437 0.437 0.437 fracstop 1.000 1.000 1.000 cjmean 3.040 3.040 3.040 libcent 0 -180.0 179.9 -180.0 libamp 0 -180.0 158.6 -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 170.9 179.8 171.4 kozaiamp 179.9 180.0 180.0