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: 523965
# Created Sun Nov 24 02:07:20 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 122 observations of 122
# Arc: 25.10y
# First observation: 1998/12/12
# Last observation: 2024/01/19
# Chi-squared of fit: 663.14 DOF: 238 RMS: 0.41
# Min/Max residuals: -1.56 1.70
# Exact a, adot, b, bdot, g, gdot:
1.736903E-05 2.515678E-02 6.660389E-06 2.480459E-03 2.378582E-02 -7.230761E-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
3.695123 80.019194 -0.019879 0.063153 -0.981486 2451160.415971
# Heliocentric elements and errors
Epoch: 2451160.5000 = 1998/12/13
Mean Anomaly: 336.96933 +/- 0.000
Argument of Peri: 89.16334 +/- 0.000
Long of Asc Node: 47.27291 +/- 0.000
Inclination: 6.65153 +/- 0.000
Eccentricity: 0.41928589 +/- 0.0000
Semi-Major Axis: 64.36949146 +/- 0.0000
Time of Perihelion: 2463228.1494 +/- 0.0
Perihelion: 37.38027224 +/- 0.0000
Aphelion: 91.35871068 +/- 0.0000
Period (y) 516.4500 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 7.43000072 +/- 0.0000
Ecliptic Y 42.29122466 +/- 0.0000
Ecliptic Z 2.70977776 +/- 0.0000
Ecliptic XDOT -0.00299988 +/- 0.0000
Ecliptic YDOT -0.00032515 +/- 0.0000
Ecliptic ZDOT 0.00023126 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.02455852 +/- 0.0000
Geocenter to KBO 42.04208682 +/- 0.0000
# Hcoef: 6.21
The following table shows the complete astrometric record for 523965. 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 (523965) followed by the observatory code and reference code for the source of the astrometry.
1998 12 12.91524 05 15 19.72 +26 44 53.9 22.2R 523965 950 Ca3641 1998 12 13.02631 05 15 19.18 +26 44 53.6 21.6R 523965 950 Ca3641 1998 12 13.07074 05 15 18.93 +26 44 53.5 523965 950 Ca3641 1998 12 13.86534 05 15 14.68 +26 44 50.0 523965 950 Ca3641 1998 12 14.19124 05 15 12.93 +26 44 48.6 523965 950 Ca3641 1999 01 18.10075 05 12 24.30 +26 41 32.2 523965 709 Ca7793 1999 01 19.12019 05 12 20.28 +26 41 25.1 23.6R 523965 709 Ca3641 1999 01 19.16583 05 12 20.02 +26 41 25.3 22.1R 523965 709 Ca3641 1999 01 19.21161 05 12 19.97 +26 41 24.0 22.5R 523965 709 Ca3641 1999 01 19.25780 05 12 19.70 +26 41 24.7 22.1R 523965 709 Ca3641 1999 02 09.11133 05 11 17.13 +26 39 17.6 21.2R 523965 709 Ca7793 1999 02 09.13961 05 11 16.97 +26 39 17.4 21.5R 523965 709 Ca7793 1999 02 09.15659 05 11 16.97 +26 39 17.6 21.3R 523965 709 Ca7793 1999 02 09.19602 05 11 16.95 +26 39 18.2 22.3R 523965 709 Ca7793 1999 02 09.20162 05 11 16.81 +26 39 17.7 21.8R 523965 709 Ca7793 1999 02 09.24669 05 11 16.69 +26 39 17.9 21.4R 523965 709 Ca7793 1999 02 09.25229 05 11 16.76 +26 39 17.7 21.5R 523965 709 Ca7793 1999 02 10.11227 05 11 15.09 +26 39 10.8 22.5R 523965 709 Ca7793 1999 02 10.15723 05 11 15.04 +26 39 10.7 22.5R 523965 709 Ca7793 1999 02 10.20213 05 11 14.90 +26 39 09.9 21.3R 523965 709 Ca7793 1999 02 10.23580 05 11 14.85 +26 39 10.1 21.2R 523965 709 Ca7793 1999 11 30.35300 05 22 55.21 +27 00 12.0 22.3V 523965 695 Ca7793 1999 11 30.36009 05 22 55.17 +27 00 11.9 22.3V 523965 695 Ca7793 1999 11 30.51407 05 22 54.36 +27 00 11.7 23.6V 523965 695 Ca7793 1999 11 30.52117 05 22 54.33 +27 00 11.7 22.8V 523965 695 Ca7793 1999 12 07.34787 05 22 18.38 +26 59 57.1 22.0R 523965 709 Ca8501 1999 12 07.39154 05 22 18.23 +26 59 57.0 21.8R 523965 709 Ca8501 1999 12 13.27262 05 21 46.74 +26 59 39.6 22.9R 523965 709 Ca7793 1999 12 13.31629 05 21 46.33 +26 59 38.9 22.6R 523965 709 Ca7793 1999 12 13.35995 05 21 46.18 +26 59 37.9 23.1R 523965 709 Ca7793 1999 12 13.40362 05 21 45.86 +26 59 38.2 22.3R 523965 709 Ca7793 2000 01 29.11885 05 18 08.78 +26 55 37.2 523965 705 Ca9919 2000 01 29.14444 05 18 08.73 +26 55 36.8 523965 705 Ca9919 2000 01 29.17582 05 18 08.64 +26 55 36.7 523965 705 Ca9919 2000 11 28.43001 05 29 36.66 +27 13 49.7 22.7R 523965 695 Cc3588 2000 11 29.32058 05 29 32.07 +27 13 49.2 22.8R 523965 695 Cc3588 2000 11 29.42294 05 29 31.54 +27 13 49.1 22.5R 523965 695 Cc3588 2001 11 21.32534 05 36 55.98 +27 26 20.4 523965 696 Ce1624 2001 11 21.34685 05 36 55.89 +27 26 20.9 523965 696 Ce1624 2007 09 16.51956 06 20 47.00 +28 07 37.6 22.5R 523965 675 Cy6664 2007 09 17.46998 06 20 49.22 +28 07 44.2 523965 675 Cy6664 2013 04 11.25046 06 49 31.621 +28 24 56.42 22.3w 523965 F51 C~1vV3 2013 04 11.25511 06 49 31.625 +28 24 56.22 22.4w 523965 F51 C~1vV3 2013 04 11.26436 06 49 31.647 +28 24 56.12 22.5w 523965 F51 C~1vV3 2013 12 04.44433 07 04 34.437 +28 18 22.71 22.0w 523965 F51 C~1vV3 2013 12 04.45832 07 04 34.392 +28 18 22.91 22.1w 523965 F51 C~1vV3 2013 12 04.47231 07 04 34.321 +28 18 23.17 21.9w 523965 F51 C~1vV3 2013 12 26.37499 07 02 38.801 +28 22 46.18 22.1G 523965 F51 C~2qaP 2013 12 26.39042 07 02 38.701 +28 22 46.26 22.2G 523965 F51 C~2qaP 2013 12 26.40585 07 02 38.616 +28 22 46.44 22.5G 523965 F51 C~2qaP 2014 01 24.29820 06 59 53.870 +28 26 43.07 22.4G 523965 F51 C~2qaP 2014 01 24.30945 06 59 53.838 +28 26 43.30 22.2G 523965 F51 C~2qaP 2014 01 24.32068 06 59 53.775 +28 26 43.08 21.6G 523965 F51 C~2qaP 2014 01 24.33195 06 59 53.698 +28 26 43.24 21.7G 523965 F51 C~2qaP 2014 12 26.51975 07 10 39.939 +28 17 15.44 22.7G 523965 F51 C~2qaP 2014 12 26.53207 07 10 39.886 +28 17 15.70 22.0G 523965 F51 C~2qaP 2014 12 26.54436 07 10 39.789 +28 17 15.63 22.7G 523965 F51 C~2qaP 2014 12 26.55673 07 10 39.732 +28 17 15.89 22.2G 523965 F51 C~2qaP 2015 01 18.28981 07 08 28.616 +28 21 06.49 22.3w 523965 F51 C~1vV3 2015 01 18.30314 07 08 28.523 +28 21 06.89 22.1w 523965 F51 C~1vV3 2015 01 18.31641 07 08 28.455 +28 21 07.06 22.1w 523965 F51 C~1vV3 2015 01 18.32977 07 08 28.373 +28 21 06.83 22.6w 523965 F51 C~1vV3 2015 01 20.32497 07 08 17.109 +28 21 22.36 22.1w 523965 F51 C~1vV3 2015 01 20.33690 07 08 17.041 +28 21 22.43 22.0w 523965 F51 C~1vV3 2015 01 20.34881 07 08 16.973 +28 21 22.55 22.0w 523965 F51 C~1vV3 2015 01 20.36076 07 08 16.902 +28 21 22.54 22.0w 523965 F51 C~1vV3 2015 01 22.30096 07 08 06.081 +28 21 36.47 22.2w 523965 F51 C~1vV3 2015 01 22.31283 07 08 06.002 +28 21 36.61 22.0w 523965 F51 C~1vV3 2015 01 22.32474 07 08 05.937 +28 21 36.75 22.2w 523965 F51 C~1vV3 2016 01 07.33964 07 17 37.583 +28 12 21.44 22.8G 523965 F51 C~2qaP 2016 01 07.34997 07 17 37.514 +28 12 21.90 22.5G 523965 F51 C~2qaP 2016 01 07.36033 07 17 37.437 +28 12 22.30 21.7G 523965 F51 C~2qaP 2016 01 07.37068 07 17 37.397 +28 12 22.35 21.5G 523965 F51 C~2qaP 2016 02 09.27788 07 14 37.302 +28 16 41.82 22.5G 523965 F51 C~2qaP 2016 02 09.29212 07 14 37.245 +28 16 42.06 22.3G 523965 F51 C~2qaP 2016 02 09.30643 07 14 37.176 +28 16 42.36 22.3G 523965 F51 C~2qaP 2016 03 13.14367 07 12 48.99 +28 16 21.5 22.2R 523965 G37 C~1pPV 2016 03 13.24061 07 12 48.83 +28 16 21.0 523965 G37 C~1pPV 2016 03 31.24650 07 12 38.210 +28 14 13.83 22.7G 523965 F51 C~2qaP 2016 03 31.26814 07 12 38.214 +28 14 13.58 22.9G 523965 F51 C~2qaP 2016 03 31.27893 07 12 38.219 +28 14 13.53 22.5G 523965 F51 C~2qaP 2016 12 25.52077 07 26 53.770 +28 00 41.72 22.1G 523965 F51 C~2qaP 2016 12 25.53109 07 26 53.719 +28 00 41.88 22.2G 523965 F51 C~2qaP 2016 12 25.54140 07 26 53.661 +28 00 41.99 22.1G 523965 F51 C~2qaP 2017 01 16.47373 07 24 47.385 +28 05 26.24 22.3G 523965 F51 C~2qaP 2017 01 16.48557 07 24 47.357 +28 05 26.64 22.2G 523965 F51 C~2qaP 2017 11 13.300793 07 37 53.39 +27 38 23.0 523965 W84 C~3n9Q 2017 11 13.342674 07 37 53.31 +27 38 23.7 523965 W84 C~3n9Q 2017 11 13.344086 07 37 53.30 +27 38 23.8 523965 W84 C~3n9Q 2018 01 08.39764 07 33 45.677 +27 53 04.48 21.8G 523965 F51 C~2qaP 2018 01 15.32999 07 33 05.302 +27 54 36.65 22.0G 523965 F51 C~2qaP 2018 01 15.34250 07 33 05.231 +27 54 36.78 22.1G 523965 F51 C~2qaP 2018 01 15.35499 07 33 05.150 +27 54 37.00 22.0G 523965 F51 C~2qaP 2018 01 15.36747 07 33 05.077 +27 54 37.11 21.9G 523965 F51 C~2qaP 2020 12 09.411660 08 00 55.136 +27 00 07.23 22.1G 523965 G37 C~4TuK 2020 12 09.463350 08 00 54.912 +27 00 08.44 523965 G37 C~4TuK 2020 12 09.507910 08 00 54.729 +27 00 08.99 523965 G37 C~4TuK 2021 01 17.38872 07 57 32.081 +27 12 04.59 21.6w 523965 F51 C~4YAa 2021 01 17.39996 07 57 32.012 +27 12 04.76 21.9w 523965 F51 C~4YAa 2021 01 17.41130 07 57 31.950 +27 12 05.13 21.9w 523965 F51 C~4YAa 2022 01 07.375024 08 06 46.634 +26 50 43.95 21.5w 523965 F52 C~5MSq 2022 01 07.387243 08 06 46.554 +26 50 44.04 21.8w 523965 F52 C~5MSq 2022 01 07.399477 08 06 46.468 +26 50 44.20 21.8w 523965 F52 C~5MSq 2022 01 07.411648 08 06 46.411 +26 50 44.38 21.7w 523965 F52 C~5MSq 2022 12 01.494384 08 17 46.886 +26 17 49.48 22.2w 523965 F51 C~69PB 2022 12 01.505856 08 17 46.866 +26 17 49.50 21.9w 523965 F51 C~69PB 2022 12 01.517270 08 17 46.827 +26 17 49.83 21.8w 523965 F51 C~69PB 2022 12 01.532144 08 17 46.770 +26 17 50.05 22.0w 523965 F51 C~69PB 2023 01 16.382735 08 14 13.189 +26 33 14.03 22.0w 523965 F52 C~6mnD 2023 01 16.394273 08 14 13.129 +26 33 14.17 21.9w 523965 F52 C~6mnD 2023 01 16.405751 08 14 13.069 +26 33 14.49 21.8w 523965 F52 C~6mnD 2023 01 16.417277 08 14 13.005 +26 33 14.61 21.6w 523965 F52 C~6mnD 2023 02 20.141640 08 11 02.273 +26 41 42.20 21.9G 523965 G37 C~6Ikh 2023 02 20.186380 08 11 02.033 +26 41 42.71 523965 G37 C~6Ikh 2023 02 20.232040 08 11 01.810 +26 41 42.87 523965 G37 C~6Ikh 2023 10 17.565558 08 26 04.469 +25 46 28.25 22.0w 523965 F51 C~7MBl 2023 10 17.590883 08 26 04.518 +25 46 28.54 21.9w 523965 F51 C~7MBl 2023 10 17.603067 08 26 04.558 +25 46 28.53 21.9w 523965 F51 C~7MBl 2024 01 19.562184 08 22 13.282 +26 12 04.85 21.7w 523965 F52 C~7liY 2024 01 19.574697 08 22 13.207 +26 12 05.13 21.8w 523965 F52 C~7liY 2024 01 19.587200 08 22 13.135 +26 12 05.22 21.7w 523965 F52 C~7liY 2024 01 19.599779 08 22 13.073 +26 12 05.46 21.8w 523965 F52 C~7liY
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 -0.06 0.00 -1.04
2 0.0003 0.00 0.85 0.00 -0.90
3 0.0004 0.00 0.70 0.00 -0.81
4 0.0026 0.00 0.24 0.00 -0.86
5 0.0035 0.00 0.37 0.00 -0.86
6 0.0991 0.00 0.45 0.00 0.08
7 0.1019 0.00 -0.00 0.00 -0.55
8 0.1020 0.00 -1.20 0.00 -0.06
9 0.1021 0.00 0.77 0.00 -1.07
10 0.1022 0.00 -0.55 0.00 -0.07
11 0.1593 0.00 0.72 0.00 0.30
12 0.1594 0.00 -0.77 0.00 0.26
13 0.1595 0.00 -0.23 0.00 0.56
14 0.1596 0.00 0.73 0.00 1.39
15 0.1596 0.00 -1.19 0.00 0.92
16 0.1597 0.00 -1.56 0.00 1.39
17 0.1597 0.00 -0.33 0.00 1.22
18 0.1621 0.00 0.38 0.00 -0.86
19 0.1622 0.00 1.01 0.00 -0.71
20 0.1623 0.00 0.28 0.00 -1.25
21 0.1624 0.00 0.55 0.00 -0.85
22 0.9649 0.00 -0.30 0.00 0.31
23 0.9649 0.00 -0.34 0.00 0.22
24 0.9654 0.00 -0.35 0.00 0.33
25 0.9654 0.00 -0.24 0.00 0.34
26 0.9841 0.00 -0.01 0.00 0.64
27 0.9842 0.00 1.29 0.00 0.66
28 1.0003 0.00 1.70 0.00 0.84
29 1.0004 0.00 -0.88 0.00 0.29
30 1.0005 0.00 0.44 0.00 -0.56
31 1.0007 0.00 -0.79 0.00 -0.10
32 1.1286 0.00 -0.77 0.00 0.06
33 1.1286 0.00 -0.25 0.00 -0.19
34 1.1287 0.00 -0.03 0.00 -0.10
35 1.9617 0.00 -0.35 0.00 -0.05
36 1.9641 0.00 -0.37 0.00 0.00
37 1.9644 0.00 -0.24 0.00 -0.02
38 2.9416 0.00 -0.12 0.00 0.50
39 2.9416 0.00 0.11 0.00 0.96
40 8.7600 0.00 0.18 0.00 -0.05
41 8.7626 0.00 0.02 0.00 -0.29
42 14.3281 0.00 0.20 0.00 -0.01
43 14.3281 0.00 0.11 0.00 -0.16
44 14.3281 0.00 0.13 0.00 -0.16
45 14.9775 0.00 -0.31 0.00 0.10
46 14.9775 0.00 0.02 0.00 0.11
47 14.9776 0.00 -0.05 0.00 0.19
48 15.0375 0.00 -0.01 0.00 0.06
49 15.0376 0.00 -0.17 0.00 -0.03
50 15.0376 0.00 -0.10 0.00 -0.02
51 15.1167 0.00 -0.22 0.00 -0.13
52 15.1168 0.00 0.23 0.00 0.04
53 15.1168 0.00 0.20 0.00 -0.24
54 15.1168 0.00 -0.03 0.00 -0.14
55 16.0372 0.00 -0.15 0.00 -0.02
56 16.0373 0.00 0.12 0.00 0.10
57 16.0373 0.00 -0.27 0.00 -0.12
58 16.0373 0.00 -0.06 0.00 -0.00
59 16.0996 0.00 0.12 0.00 -0.06
60 16.0996 0.00 -0.12 0.00 0.23
61 16.0997 0.00 0.00 0.00 0.29
62 16.0997 0.00 -0.07 0.00 -0.05
63 16.1052 0.00 -0.05 0.00 0.15
64 16.1052 0.00 -0.05 0.00 0.13
65 16.1052 0.00 -0.05 0.00 0.16
66 16.1053 0.00 -0.09 0.00 0.06
67 16.1106 0.00 0.02 0.00 -0.02
68 16.1106 0.00 -0.16 0.00 0.03
69 16.1106 0.00 -0.13 0.00 0.09
70 17.0689 0.00 0.34 0.00 -0.43
71 17.0690 0.00 0.22 0.00 -0.10
72 17.0690 0.00 -0.02 0.00 0.18
73 17.0690 0.00 0.30 0.00 0.11
74 17.1591 0.00 -0.12 0.00 -0.30
75 17.1591 0.00 0.05 0.00 -0.12
76 17.1592 0.00 0.05 0.00 0.13
77 17.2491 0.00 -0.30 0.00 0.27
78 17.2494 0.00 -0.21 0.00 0.27
79 17.2986 0.00 0.07 0.00 -0.00
80 17.2987 0.00 0.01 0.00 -0.05
81 17.2987 0.00 0.03 0.00 -0.00
82 18.0359 0.00 -0.05 0.00 -0.09
83 18.0359 0.00 0.06 0.00 -0.07
84 18.0359 0.00 0.06 0.00 -0.11
85 18.0960 0.00 -0.14 0.00 0.05
86 18.0960 0.00 0.48 0.00 0.32
87 18.9196 0.00 -0.09 0.00 -0.19
88 18.9197 0.00 0.06 0.00 -0.10
89 18.9197 0.00 -0.04 0.00 -0.02
90 19.0732 0.00 -0.16 0.00 -0.24
91 19.0922 0.00 0.05 0.00 -0.01
92 19.0922 0.00 0.10 0.00 -0.04
93 19.0922 0.00 -0.01 0.00 0.02
94 19.0923 0.00 0.00 0.00 -0.03
95 21.9918 0.00 0.03 0.00 -0.06
96 21.9919 0.00 -0.11 0.00 0.18
97 21.9920 0.00 -0.07 0.00 -0.10
98 22.0985 0.00 0.04 0.00 -0.00
99 22.0985 0.00 0.00 0.00 -0.02
100 22.0986 0.00 0.08 0.00 0.17
101 23.0704 0.00 0.27 0.00 0.19
102 23.0704 0.00 0.11 0.00 0.05
103 23.0705 0.00 -0.13 0.00 -0.03
104 23.0705 0.00 0.05 0.00 -0.09
105 23.9687 0.00 -0.15 0.00 0.10
106 23.9688 0.00 0.07 0.00 -0.10
107 23.9688 0.00 -0.00 0.00 0.02
108 23.9688 0.00 -0.19 0.00 -0.04
109 24.0944 0.00 -0.20 0.00 0.11
110 24.0944 0.00 -0.09 0.00 0.03
111 24.0944 0.00 0.01 0.00 0.13
112 24.0945 0.00 0.06 0.00 0.03
113 24.1895 0.00 0.35 0.00 0.03
114 24.1897 0.00 0.03 0.00 0.12
115 24.1898 0.00 0.04 0.00 -0.14
116 24.8450 0.00 -0.04 0.00 -0.26
117 24.8451 0.00 -0.20 0.00 -0.06
118 24.8451 0.00 -0.04 0.00 -0.11
119 25.1024 0.00 0.02 0.00 -0.02
120 25.1024 0.00 -0.01 0.00 0.02
121 25.1025 0.00 -0.01 0.00 -0.13
122 25.1025 0.00 0.15 0.00 -0.14
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.
523965 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 64.766 64.766 64.767 ecceobj 0.423 0.423 0.423 incobj 6.649 6.649 6.649 qmin 36.584 36.548 36.588 qmax 93.571 93.667 93.613 amean 64.182 64.106 64.343 amin 63.012 63.211 63.421 amax 65.411 65.402 65.471 emean 0.418 0.418 0.419 emin 0.404 0.406 0.408 emax 0.431 0.432 0.431 imean 6.227 6.213 6.226 imin 5.812 5.755 5.781 imax 6.699 6.803 6.710 excite_mean 0.432 0.432 0.433 fracstop 1.000 1.000 1.000 cjmean 3.106 3.105 3.106 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 174.4 174.8 174.6 kozaiamp 179.9 179.9 180.0