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: 524179
# Created Sun Apr 21 01:08:32 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 121 observations of 121
# Arc: 21.08y
# First observation: 1999/03/20
# Last observation: 2020/04/19
# Chi-squared of fit: 254.05 DOF: 236 RMS: 0.26
# Min/Max residuals: -0.93 1.61
# Exact a, adot, b, bdot, g, gdot:
2.090472E-05 3.148459E-02 4.573496E-06 1.149273E-03 2.767862E-02 -1.830424E-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
2.540874 -174.897742 0.101588 0.044035 -0.997897 2451257.815983
# Heliocentric elements and errors
Epoch: 2451258.5000 = 1999/03/21
Mean Anomaly: 348.04256 +/- 0.000
Argument of Peri: 68.89516 +/- 0.000
Long of Asc Node: 135.28596 +/- 0.000
Inclination: 3.24347 +/- 0.000
Eccentricity: 0.22321339 +/- 0.0000
Semi-Major Axis: 47.30060580 +/- 0.0000
Time of Perihelion: 2455205.2022 +/- 0.0
Perihelion: 36.74247733 +/- 0.0000
Aphelion: 57.85873427 +/- 0.0000
Period (y) 325.3181 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -36.94608774 +/- 0.0000
Ecliptic Y -3.19791019 +/- 0.0000
Ecliptic Z 1.60186313 +/- 0.0000
Ecliptic XDOT 0.00046001 +/- 0.0000
Ecliptic YDOT -0.00307658 +/- 0.0000
Ecliptic ZDOT 0.00010556 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.11884831 +/- 0.0000
Geocenter to KBO 36.12904473 +/- 0.0000
# Hcoef: 6.80
The following table shows the complete astrometric record for 524179. 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 (524179) followed by the observatory code and reference code for the source of the astrometry.
1999 03 20.31524 12 22 45.66 +00 18 20.0 22.9V 524179 645 cv2247 1999 03 22.30972 12 22 35.91 +00 19 25.6 22.9V 524179 645 cv2247 2001 03 26.36019 12 35 42.36 -00 56 41.2 23.2R 524179 695 Cd1722 2001 03 26.43943 12 35 41.97 -00 56 38.7 524179 695 Cd1722 2001 04 24.21991 12 33 24.80 -00 42 03.9 21.9R 524179 688 Cd1722 2001 04 24.33478 12 33 24.32 -00 41 59.6 524179 688 Cd1722 2001 05 29.26561 12 31 29.80 -00 31 15.9 22.1R 524179 695 Cd1722 2001 05 29.32104 12 31 29.66 -00 31 15.0 524179 695 Cd1722 2002 03 18.37628 12 43 09.37 -01 40 37.5 21.9R 524179 695 Cf4951 2002 03 20.43875 12 42 59.47 -01 39 30.5 524179 695 Cf4951 2002 03 20.50151 12 42 59.21 -01 39 28.5 524179 695 Cf4951 2003 03 06.46192 12 50 52.57 -02 26 24.7 22.0R 524179 662 Ch5853 2003 03 06.51316 12 50 52.36 -02 26 23.0 524179 662 Ch5853 2004 03 18.39671 12 56 45.94 -02 59 23.2 22.5R 524179 688 Ck2063 2004 03 18.47315 12 56 45.62 -02 59 20.8 524179 688 Ck2063 2008 05 03.27183 13 20 37.64 -05 13 25.4 524179 695 Cz0380 2008 05 04.25686 13 20 33.16 -05 12 59.8 524179 695 Cz0380 2012 04 13.44306 13 50 03.083 -07 55 12.46 22.2G 524179 F51 C~2rXd 2012 04 28.37187 13 48 47.667 -07 48 06.41 22.6G 524179 F51 C~2rXe 2013 04 10.42231 13 57 18.909 -08 33 47.38 22.5G 524179 F51 C~2rXe 2013 04 10.43594 13 57 18.827 -08 33 46.88 22.9G 524179 F51 C~2rXe 2013 04 10.44962 13 57 18.745 -08 33 46.45 22.2G 524179 F51 C~2rXe 2013 04 10.46333 13 57 18.689 -08 33 46.27 22.4G 524179 F51 C~2rXe 2013 04 15.49159 13 56 53.425 -08 31 21.73 22.4G 524179 F51 C~2rXe 2013 04 22.41495 13 56 18.338 -08 28 05.01 22.0G 524179 F51 C~2rXe 2013 05 03.37787 13 55 23.196 -08 23 04.91 22.2w 524179 F51 C~1vV5 2013 05 03.39141 13 55 23.133 -08 23 04.57 22.2w 524179 F51 C~1vV5 2013 05 03.40499 13 55 23.064 -08 23 04.50 22.1w 524179 F51 C~1vV5 2013 05 03.41854 13 55 23.009 -08 23 03.80 22.3w 524179 F51 C~1vV5 2014 03 27.52945 14 05 25.930 -09 16 45.46 22.2w 524179 F51 C~1vV5 2014 03 27.54079 14 05 25.846 -09 16 45.02 22.3w 524179 F51 C~1vV5 2014 03 27.55164 14 05 25.810 -09 16 44.68 22.2w 524179 F51 C~1vV5 2014 03 27.56247 14 05 25.769 -09 16 44.22 22.4w 524179 F51 C~1vV5 2014 04 05.52189 14 04 44.445 -09 12 40.75 22.2w 524179 F51 C~1vV5 2014 04 05.54300 14 04 44.349 -09 12 40.25 22.3w 524179 F51 C~1vV5 2014 04 05.55357 14 04 44.293 -09 12 39.93 22.1w 524179 F51 C~1vV5 2014 04 23.43260 14 03 15.002 -09 04 19.49 22.5G 524179 F51 C~2rXe 2014 04 28.44139 14 02 49.506 -09 02 01.61 524179 F51 C~2rXe 2014 04 28.45432 14 02 49.431 -09 02 01.31 22.1G 524179 F51 C~2rXe 2014 04 28.46722 14 02 49.380 -09 02 00.90 22.4G 524179 F51 C~2rXe 2014 04 29.44310 14 02 44.426 -09 01 34.54 22.1w 524179 F51 C~1vV5 2014 04 29.45610 14 02 44.381 -09 01 34.37 22.3w 524179 F51 C~1vV5 2014 04 29.46913 14 02 44.305 -09 01 34.00 22.0w 524179 F51 C~1vV5 2014 04 29.48214 14 02 44.233 -09 01 33.62 22.5w 524179 F51 C~1vV5 2014 05 09.35584 14 01 55.146 -08 57 16.86 22.4G 524179 F51 C~2rXe 2014 05 09.38119 14 01 55.002 -08 57 15.97 21.7G 524179 F51 C~2rXe 2014 05 09.39388 14 01 54.947 -08 57 15.81 21.3G 524179 F51 C~2rXe 2014 05 20.33525 14 01 04.102 -08 53 01.03 22.7w 524179 F51 C~1vV5 2014 05 20.34818 14 01 04.056 -08 53 00.55 22.5w 524179 F51 C~1vV5 2014 05 20.36111 14 01 04.004 -08 53 00.43 22.5w 524179 F51 C~1vV5 2014 05 20.37403 14 01 03.936 -08 53 00.04 22.8w 524179 F51 C~1vV5 2014 05 21.33107 14 00 59.736 -08 52 39.75 22.7w 524179 F51 C~1vV5 2014 05 21.34458 14 00 59.679 -08 52 39.36 22.4w 524179 F51 C~1vV5 2014 05 21.35806 14 00 59.618 -08 52 39.13 22.5w 524179 F51 C~1vV5 2014 05 21.37151 14 00 59.569 -08 52 38.79 22.5w 524179 F51 C~1vV5 2014 05 31.38059 14 00 18.645 -08 49 26.06 22.1G 524179 F51 C~2rXe 2014 06 20.37781 13 59 17.927 -08 45 14.55 23.6G 524179 F51 C~2rXe 2014 06 30.35735 13 59 00.246 -08 44 26.31 22.8G 524179 F51 C~2rXe 2015 03 17.54974 14 13 07.683 -09 56 42.93 22.5G 524179 F51 C~2rXe 2015 03 17.56282 14 13 07.644 -09 56 42.52 23.5G 524179 F51 C~2rXe 2015 03 17.57584 14 13 07.593 -09 56 42.49 23.5G 524179 F51 C~2rXe 2015 03 17.58886 14 13 07.532 -09 56 42.24 22.8G 524179 F51 C~2rXe 2015 03 19.51737 14 13 00.311 -09 55 56.60 22.5G 524179 F51 C~2rXe 2015 03 19.53415 14 13 00.241 -09 55 56.03 22.3G 524179 F51 C~2rXe 2015 03 19.56003 14 13 00.159 -09 55 55.61 22.3G 524179 F51 C~2rXe 2015 04 23.39066 14 10 18.204 -09 40 31.35 22.0w 524179 F51 C~1vV5 2015 04 23.40316 14 10 18.130 -09 40 30.93 22.4w 524179 F51 C~1vV5 2015 04 23.41568 14 10 18.065 -09 40 30.65 22.2w 524179 F51 C~1vV5 2015 04 23.42817 14 10 18.001 -09 40 30.16 22.1w 524179 F51 C~1vV5 2015 04 24.48860 14 10 12.569 -09 40 01.16 22.7G 524179 F51 C~2rXe 2015 04 24.50072 14 10 12.499 -09 40 01.00 22.2G 524179 F51 C~2rXe 2015 04 24.51282 14 10 12.450 -09 40 00.66 22.8G 524179 F51 C~2rXe 2015 04 25.45560 14 10 07.626 -09 39 35.06 22.1w 524179 F51 C~1vV5 2015 04 25.46782 14 10 07.569 -09 39 34.65 22.1w 524179 F51 C~1vV5 2015 04 25.47993 14 10 07.506 -09 39 34.12 22.3w 524179 F51 C~1vV5 2015 04 25.49244 14 10 07.448 -09 39 33.96 22.3w 524179 F51 C~1vV5 2015 04 26.42667 14 10 02.680 -09 39 08.73 22.6G 524179 F51 C~2rXe 2015 05 22.37561 14 07 56.277 -09 28 30.85 22.1w 524179 F51 C~1vV5 2015 05 22.38890 14 07 56.221 -09 28 30.46 22.4w 524179 F51 C~1vV5 2015 05 22.40215 14 07 56.167 -09 28 30.33 22.6w 524179 F51 C~1vV5 2016 01 12.65692 14 20 41.071 -10 40 19.44 23.0G 524179 F51 C~2rXe 2016 02 10.57547 14 21 18.834 -10 40 42.90 22.6G 524179 F51 C~2rXe 2016 02 20.64383 14 21 10.872 -10 39 04.66 23.1G 524179 F51 C~2rXe 2016 03 06.51578 14 20 40.604 -10 35 14.30 20.9G 524179 F51 C~2rXe 2016 03 06.52737 14 20 40.593 -10 35 14.35 21.5G 524179 F51 C~2rXe 2016 03 06.53899 14 20 40.567 -10 35 13.99 22.5G 524179 F51 C~2rXe 2016 03 06.55064 14 20 40.527 -10 35 13.78 22.1G 524179 F51 C~2rXe 2016 03 13.35911 14 20 19.99 -10 32 58.7 22.2R 524179 G37 C~1pPW 2016 03 13.44056 14 20 19.70 -10 32 56.9 524179 G37 C~1pPW 2016 03 13.53792 14 20 19.391 -10 32 54.60 23.1G 524179 F51 C~2rXe 2016 03 13.55036 14 20 19.329 -10 32 54.44 22.3G 524179 F51 C~2rXe 2016 03 13.56274 14 20 19.279 -10 32 54.14 22.7G 524179 F51 C~2rXe 2016 03 13.57518 14 20 19.261 -10 32 53.73 22.6G 524179 F51 C~2rXe 2016 04 05.46837 14 18 45.933 -10 23 41.31 22.3G 524179 F51 C~2rXe 2016 04 05.48068 14 18 45.874 -10 23 41.18 22.5G 524179 F51 C~2rXe 2016 04 05.49298 14 18 45.814 -10 23 40.80 22.3G 524179 F51 C~2rXe 2016 04 05.50529 14 18 45.763 -10 23 40.53 22.4G 524179 F51 C~2rXe 2016 04 30.40940 14 16 41.161 -10 12 34.66 22.6G 524179 F51 C~2rXe 2016 04 30.42199 14 16 41.101 -10 12 34.23 22.4G 524179 F51 C~2rXe 2016 04 30.43462 14 16 41.028 -10 12 34.02 22.5G 524179 F51 C~2rXe 2016 04 30.44723 14 16 40.978 -10 12 33.53 22.1G 524179 F51 C~2rXe 2016 05 07.39123 14 16 05.773 -10 09 36.35 22.4G 524179 F51 C~2rXe 2016 05 07.40227 14 16 05.734 -10 09 35.79 22.4G 524179 F51 C~2rXe 2016 05 07.41332 14 16 05.665 -10 09 35.77 22.4G 524179 F51 C~2rXe 2016 05 07.42438 14 16 05.602 -10 09 35.57 22.1G 524179 F51 C~2rXe 2017 03 22.46211 14 26 49.646 -11 04 07.20 20.7G 524179 F51 C~2rXe 2017 04 05.48618 14 25 49.960 -10 58 26.82 22.6G 524179 F51 C~2rXe 2017 05 27.30819 14 21 35.214 -10 37 14.67 23.5G 524179 F51 C~2rXe 2017 05 27.32062 14 21 35.137 -10 37 14.24 23.2G 524179 F51 C~2rXe 2017 05 27.33319 14 21 35.078 -10 37 13.89 22.0G 524179 F51 C~2rXe 2017 05 27.34574 14 21 35.031 -10 37 13.64 22.5G 524179 F51 C~2rXe 2018 04 12.48987 14 32 21.648 -11 29 33.70 22.2G 524179 F51 C~2rXe 2018 04 12.50095 14 32 21.604 -11 29 33.41 22.3G 524179 F51 C~2rXe 2018 04 12.52096 14 32 21.509 -11 29 32.91 22.2G 524179 F51 C~2rXe 2018 04 12.53204 14 32 21.441 -11 29 32.78 22.1G 524179 F51 C~2rXe 2018 05 19.158800 14 29 16.65 -11 14 27.1 22.7G 524179 705 C~2r9h 2018 05 19.224150 14 29 16.34 -11 14 25.4 22.2G 524179 705 C~2r9h 2018 05 19.259970 14 29 16.18 -11 14 24.9 21.0G 524179 705 C~2r9h 2020 04 19.46894 14 45 53.085 -12 32 15.38 22.2w 524179 F51 C~3si2 2020 04 19.48163 14 45 53.015 -12 32 15.41 22.2w 524179 F51 C~3si2 2020 04 19.50701 14 45 52.891 -12 32 14.32 22.2w 524179 F51 C~3si2
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 -0.87 0.00 -0.50
2 0.0055 0.00 -0.74 0.00 -0.43
3 2.0179 0.00 -0.04 0.00 -0.25
4 2.0181 0.00 0.05 0.00 -0.34
5 2.0969 0.00 1.02 0.00 0.36
6 2.0972 0.00 1.47 0.00 1.61
7 2.1929 0.00 -0.02 0.00 -0.26
8 2.1930 0.00 -0.46 0.00 0.14
9 2.9954 0.00 -0.04 0.00 -0.26
10 3.0010 0.00 -0.43 0.00 0.19
11 3.0012 0.00 0.26 0.00 0.15
12 3.9621 0.00 0.02 0.00 -0.49
13 3.9622 0.00 0.16 0.00 -0.31
14 4.9968 0.00 -0.18 0.00 0.33
15 4.9970 0.00 0.47 0.00 0.32
16 9.1224 0.00 -0.26 0.00 -0.25
17 9.1251 0.00 -0.06 0.00 -0.09
18 13.0681 0.00 -0.03 0.00 -0.33
19 13.1090 0.00 -0.21 0.00 0.01
20 14.0592 0.00 0.03 0.00 -0.21
21 14.0592 0.00 -0.16 0.00 -0.10
22 14.0592 0.00 -0.35 0.00 -0.07
23 14.0593 0.00 -0.15 0.00 -0.28
24 14.0730 0.00 -0.61 0.00 -0.03
25 14.0920 0.00 -0.01 0.00 -0.21
26 14.1220 0.00 -0.01 0.00 0.07
27 14.1220 0.00 0.07 0.00 0.06
28 14.1221 0.00 0.06 0.00 -0.23
29 14.1221 0.00 0.26 0.00 0.11
30 15.0204 0.00 0.25 0.00 0.12
31 15.0205 0.00 -0.25 0.00 0.25
32 15.0205 0.00 -0.05 0.00 0.31
33 15.0205 0.00 0.06 0.00 0.48
34 15.0451 0.00 -0.02 0.00 0.18
35 15.0451 0.00 0.09 0.00 0.09
36 15.0451 0.00 0.03 0.00 0.12
37 15.0941 0.00 -0.07 0.00 -0.34
38 15.1078 0.00 -0.01 0.00 0.10
39 15.1078 0.00 -0.13 0.00 0.05
40 15.1079 0.00 0.11 0.00 0.11
41 15.1105 0.00 -0.03 0.00 0.09
42 15.1106 0.00 0.30 0.00 -0.09
43 15.1106 0.00 0.17 0.00 -0.08
44 15.1107 0.00 0.10 0.00 -0.05
45 15.1377 0.00 0.03 0.00 0.03
46 15.1378 0.00 -0.24 0.00 0.29
47 15.1378 0.00 -0.13 0.00 0.13
48 15.1677 0.00 -0.09 0.00 -0.05
49 15.1678 0.00 0.09 0.00 0.15
50 15.1678 0.00 0.19 0.00 -0.00
51 15.1679 0.00 0.04 0.00 0.11
52 15.1705 0.00 -0.01 0.00 -0.07
53 15.1705 0.00 0.04 0.00 0.03
54 15.1705 0.00 0.03 0.00 -0.02
55 15.1706 0.00 0.20 0.00 0.03
56 15.1980 0.00 -0.39 0.00 -0.27
57 15.2527 0.00 -0.27 0.00 0.12
58 15.2801 0.00 -0.25 0.00 -0.35
59 15.9924 0.00 -0.12 0.00 -0.08
60 15.9925 0.00 0.04 0.00 0.03
61 15.9925 0.00 0.01 0.00 -0.24
62 15.9925 0.00 -0.17 0.00 -0.29
63 15.9978 0.00 -0.09 0.00 0.19
64 15.9979 0.00 -0.16 0.00 0.36
65 15.9979 0.00 0.13 0.00 0.17
66 16.0933 0.00 0.19 0.00 -0.02
67 16.0933 0.00 0.06 0.00 0.06
68 16.0934 0.00 0.06 0.00 0.00
69 16.0934 0.00 0.07 0.00 0.15
70 16.0963 0.00 -0.04 0.00 0.22
71 16.0963 0.00 -0.14 0.00 0.05
72 16.0964 0.00 0.07 0.00 0.06
73 16.0989 0.00 -0.09 0.00 0.03
74 16.0990 0.00 0.01 0.00 0.10
75 16.0990 0.00 0.01 0.00 0.30
76 16.0990 0.00 0.12 0.00 0.12
77 16.1016 0.00 0.12 0.00 0.04
78 16.1726 0.00 0.16 0.00 0.15
79 16.1727 0.00 0.22 0.00 0.26
80 16.1727 0.00 0.31 0.00 0.11
81 16.8168 0.00 -0.04 0.00 0.04
82 16.8960 0.00 0.22 0.00 -0.93
83 16.9236 0.00 -0.01 0.00 0.03
84 16.9643 0.00 -0.42 0.00 0.10
85 16.9643 0.00 -0.09 0.00 -0.16
86 16.9643 0.00 0.01 0.00 -0.02
87 16.9644 0.00 -0.10 0.00 -0.02
88 16.9830 0.00 0.23 0.00 -0.23
89 16.9832 0.00 0.01 0.00 -0.15
90 16.9835 0.00 0.17 0.00 0.05
91 16.9835 0.00 -0.12 0.00 -0.05
92 16.9836 0.00 -0.24 0.00 -0.01
93 16.9836 0.00 0.13 0.00 0.13
94 17.0463 0.00 -0.05 0.00 0.13
95 17.0463 0.00 -0.05 0.00 -0.07
96 17.0463 0.00 -0.07 0.00 -0.01
97 17.0464 0.00 0.05 0.00 -0.07
98 17.1146 0.00 -0.06 0.00 0.02
99 17.1146 0.00 0.02 0.00 0.12
100 17.1146 0.00 -0.08 0.00 0.00
101 17.1147 0.00 0.15 0.00 0.17
102 17.1337 0.00 0.01 0.00 -0.10
103 17.1337 0.00 0.27 0.00 0.18
104 17.1337 0.00 0.08 0.00 -0.07
105 17.1338 0.00 -0.02 0.00 -0.15
106 18.0072 0.00 0.08 0.00 -0.33
107 18.0456 0.00 -0.23 0.00 -0.16
108 18.1875 0.00 0.19 0.00 -0.31
109 18.1876 0.00 -0.14 0.00 -0.12
110 18.1876 0.00 -0.18 0.00 -0.02
111 18.1876 0.00 -0.04 0.00 -0.01
112 19.0641 0.00 -0.13 0.00 0.07
113 19.0642 0.00 0.03 0.00 0.08
114 19.0642 0.00 0.08 0.00 0.07
115 19.0642 0.00 -0.12 0.00 -0.08
116 19.1645 0.00 -0.04 0.00 -0.17
117 19.1647 0.00 0.12 0.00 0.10
118 19.1648 0.00 0.36 0.00 -0.19
119 21.0846 0.00 -0.01 0.00 0.15
120 21.0846 0.00 -0.09 0.00 -0.19
121 21.0847 0.00 -0.02 0.00 0.28
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.
524179 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.344 47.344 47.344 ecceobj 0.224 0.224 0.224 incobj 3.242 3.242 3.242 qmin 35.670 35.670 35.670 qmax 60.715 60.720 60.730 amean 47.797 47.797 47.797 amin 47.229 47.232 47.227 amax 48.481 48.480 48.481 emean 0.237 0.237 0.237 emin 0.220 0.220 0.220 emax 0.254 0.253 0.254 imean 1.763 1.763 1.762 imin 1.320 1.321 1.320 imax 2.051 2.052 2.051 excite_mean 0.239 0.239 0.239 fracstop 1.000 1.000 1.000 cjmean 3.077 3.077 3.077 libcent 0 272.7 272.6 272.6 libamp 0 44.6 44.6 44.6 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 188.5 188.5 188.4 kozaiamp 180.0 180.0 180.0