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: 612149
# Created Sun Apr 28 01:09:08 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 122 observations of 122
# Arc: 18.18y
# First observation: 2000/02/05
# Last observation: 2018/04/10
# Chi-squared of fit: 149.44 DOF: 238 RMS: 0.20
# Min/Max residuals: -0.77 0.73
# Exact a, adot, b, bdot, g, gdot:
1.430782E-05 1.832683E-02 1.937451E-06 3.723992E-03 2.142686E-02 1.571576E-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
1.553383 162.170509 0.431150 0.023902 -0.889599 2451579.921233
# Heliocentric elements and errors
Epoch: 2451580.5000 = 2000/02/06
Mean Anomaly: 131.05068 +/- 0.000
Argument of Peri: 227.79196 +/- 0.000
Long of Asc Node: 154.20553 +/- 0.000
Inclination: 11.61474 +/- 0.000
Eccentricity: 0.11096805 +/- 0.0000
Semi-Major Axis: 44.06812658 +/- 0.0000
Time of Perihelion: 2412682.9644 +/- 0.0
Perihelion: 39.17797260 +/- 0.0000
Aphelion: 48.95828056 +/- 0.0000
Period (y) 292.5466 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -45.12100351 +/- 0.0000
Ecliptic Y 14.96987601 +/- 0.0000
Ecliptic Z 1.26526609 +/- 0.0000
Ecliptic XDOT -0.00090149 +/- 0.0000
Ecliptic YDOT -0.00216462 +/- 0.0000
Ecliptic ZDOT 0.00048121 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 47.55626425 +/- 0.0000
Geocenter to KBO 46.67037212 +/- 0.0000
# Hcoef: 6.08
The following table shows the complete astrometric record for 612149. 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 (612149) followed by the observatory code and reference code for the source of the astrometry.
2000 02 05.42049 10 56 37.95 +08 25 52.0 21.9R 612149 695 Cb1115 2000 02 05.52549 10 56 37.57 +08 25 54.5 612149 695 Cb1115 2000 03 01.30425 10 55 00.83 +08 36 58.6 21.9R 612149 695 Cb1115 2000 03 01.38808 10 55 00.52 +08 37 00.8 612149 695 Cb1115 2000 03 01.39586 10 55 00.45 +08 37 01.2 612149 695 Cb1115 2001 03 25.17406 10 57 42.23 +08 35 02.5 22.8R 612149 695 Ch1183 2002 02 08.37609 11 04 53.91 +08 02 29.8 22.2R 612149 695 Cg5554 2002 02 08.50852 11 04 53.42 +08 02 33.2 612149 695 Cg5554 2002 02 13.347949 11 04 35.67 +08 04 39.8 22.2V 612149 645 C~1PqX 2002 02 13.348779 11 04 35.67 +08 04 39.9 22.1V 612149 645 C~1PqX 2002 02 13.351266 11 04 35.66 +08 04 39.9 22.9V 612149 645 C~1PqX 2002 03 05.227998 11 03 16.96 +08 13 44.5 22.8V 612149 645 C~1PqX 2002 03 05.228827 11 03 16.95 +08 13 44.5 21.9V 612149 645 C~1PqX 2002 03 05.231315 11 03 16.94 +08 13 44.5 23.6V 612149 645 C~1PqX 2002 03 12.245339 11 02 48.50 +08 16 55.8 22.0V 612149 645 C~2FZD 2002 03 12.246168 11 02 48.52 +08 16 55.8 22.0V 612149 645 C~2FZD 2002 03 12.248656 11 02 48.50 +08 16 55.8 24.1V 612149 645 C~2FZD 2002 04 11.20322 11 00 58.78 +08 28 51.4 21.3R 612149 695 Cg5554 2002 04 11.26419 11 00 58.60 +08 28 52.5 612149 695 Cg5554 2004 03 19.20061 11 10 46.49 +07 54 50.0 23.0R 612149 688 Ck2009 2004 03 19.29196 11 10 46.12 +07 54 52.5 612149 688 Ck2009 2006 01 16.28522 11 22 46.15 +07 02 23.3 22.2R 612149 250 S~06AM 2006 01 16.28962 11 22 46.14 +07 02 23.4 612149 250 S~06AM 2006 01 16.29402 11 22 46.13 +07 02 23.5 612149 250 S~06AM 2006 01 16.35114 11 22 46.01 +07 02 24.6 612149 250 S~06AM 2007 02 15.40023 11 25 28.27 +07 00 53.6 23.1R 612149 688 Cu2276 2007 02 15.47470 11 25 27.95 +07 00 55.6 612149 688 Cu2276 2010 12 15.58734 11 43 29.589 +05 50 57.88 23.3G 612149 F51 C~36iP 2011 03 11.36052 11 40 27.087 +06 18 47.65 23.3G 612149 F51 C~36iP 2011 04 02.30488 11 39 01.039 +06 28 33.76 23.2G 612149 F51 C~36iP 2011 04 02.32003 11 39 00.990 +06 28 33.79 22.5G 612149 F51 C~36iP 2011 04 02.33617 11 39 00.920 +06 28 34.44 22.5G 612149 F51 C~36iP 2011 04 02.35128 11 39 00.874 +06 28 34.63 22.4G 612149 F51 C~36iP 2011 06 24.31300 11 36 51.343 +06 39 33.38 22.5G 612149 F51 C~36iP 2012 02 14.61437 11 46 05.352 +05 53 41.98 22.1G 612149 F51 C~36iP 2012 02 26.41944 11 45 23.777 +05 59 04.09 23.0G 612149 F51 C~36iP 2012 03 27.32923 11 43 26.892 +06 12 51.74 23.1G 612149 F51 C~36iP 2012 03 27.34368 11 43 26.816 +06 12 52.34 23.1G 612149 F51 C~36iP 2012 03 27.35813 11 43 26.791 +06 12 52.41 23.6G 612149 F51 C~36iP 2012 03 27.37260 11 43 26.715 +06 12 53.08 23.1G 612149 F51 C~36iP 2013 04 04.37027 11 47 02.661 +06 02 31.12 22.9G 612149 F51 C~36iP 2013 04 04.38501 11 47 02.595 +06 02 31.96 22.4G 612149 F51 C~36iP 2014 02 28.40958 11 53 24.387 +05 32 48.46 23.6G 612149 F51 C~36iP 2014 02 28.42208 11 53 24.343 +05 32 49.27 23.2G 612149 F51 C~36iP 2014 02 28.44682 11 53 24.253 +05 32 49.70 22.6G 612149 F51 C~36iP 2014 03 24.35839 11 51 51.185 +05 43 57.66 22.7G 612149 F51 C~36iP 2014 03 24.37051 11 51 51.152 +05 43 57.91 23.5G 612149 F51 C~36iP 2014 03 24.38262 11 51 51.097 +05 43 58.48 22.9G 612149 F51 C~36iP 2014 03 24.39480 11 51 51.026 +05 43 58.98 23.6G 612149 F51 C~36iP 2014 04 30.26214 11 49 42.877 +05 57 30.18 23.1G 612149 F51 C~36iP 2014 04 30.27434 11 49 42.846 +05 57 30.36 22.9G 612149 F51 C~36iP 2014 04 30.28659 11 49 42.834 +05 57 30.24 23.0G 612149 F51 C~36iP 2014 04 30.29890 11 49 42.769 +05 57 30.57 22.9G 612149 F51 C~36iP 2014 06 28.27486 11 48 56.858 +05 59 00.56 22.5G 612149 F51 C~36iP 2014 06 28.27881 11 48 56.837 +05 59 00.47 22.7G 612149 F51 C~36iP 2014 06 28.28279 11 48 56.853 +05 59 00.30 22.9G 612149 F51 C~36iP 2014 12 10.62972 11 59 21.252 +04 57 13.03 22.9G 612149 F51 C~36iP 2015 01 19.58955 11 59 19.819 +05 02 50.38 23.1G 612149 F51 C~36iP 2015 01 21.56226 11 59 16.568 +05 03 26.72 18.4G 612149 F51 C~36iP 2015 01 21.57380 11 59 16.543 +05 03 26.80 19.9G 612149 F51 C~36iP 2015 01 21.58541 11 59 16.522 +05 03 27.07 22.5G 612149 F51 C~36iP 2015 02 16.45928 11 58 11.129 +05 13 22.22 22.8G 612149 F51 C~36iP 2015 02 16.47219 11 58 11.102 +05 13 22.74 22.6G 612149 F51 C~36iP 2015 02 16.48507 11 58 11.060 +05 13 23.01 22.7G 612149 F51 C~36iP 2015 02 16.49803 11 58 11.007 +05 13 23.36 23.2G 612149 F51 C~36iP 2015 02 18.54425 11 58 04.306 +05 14 17.88 23.0G 612149 F51 C~36iP 2015 02 19.50428 11 58 01.100 +05 14 43.62 22.5G 612149 F51 C~36iP 2015 03 23.47841 11 56 00.463 +05 29 35.87 22.5G 612149 F51 C~36iP 2015 03 23.49097 11 56 00.414 +05 29 36.32 21.8G 612149 F51 C~36iP 2015 03 23.50354 11 56 00.372 +05 29 36.59 22.8G 612149 F51 C~36iP 2015 03 23.51613 11 56 00.309 +05 29 36.84 22.8G 612149 F51 C~36iP 2015 07 09.27535 11 53 13.964 +05 42 54.00 22.8G 612149 F51 C~36iP 2016 01 13.54292 12 03 29.241 +04 47 16.51 23.4G 612149 F51 C~36iP 2016 01 16.55407 12 03 25.796 +04 48 03.15 22.3G 612149 F51 C~36iP 2016 01 16.56619 12 03 25.775 +04 48 03.30 22.5G 612149 F51 C~36iP 2016 01 16.57830 12 03 25.765 +04 48 03.42 22.6G 612149 F51 C~36iP 2016 01 16.59050 12 03 25.729 +04 48 03.64 23.2G 612149 F51 C~36iP 2016 02 09.49078 12 02 36.165 +04 56 21.40 22.9G 612149 F51 C~36iP 2016 02 09.50295 12 02 36.126 +04 56 21.44 23.0G 612149 F51 C~36iP 2016 02 09.51509 12 02 36.096 +04 56 21.84 22.5G 612149 F51 C~36iP 2016 02 09.52729 12 02 36.052 +04 56 22.03 22.6G 612149 F51 C~36iP 2016 04 05.36887 11 59 12.026 +05 21 33.39 22.6G 612149 F51 C~36iP 2016 04 05.38239 11 59 11.944 +05 21 34.39 22.1G 612149 F51 C~36iP 2016 04 05.39417 11 59 11.930 +05 21 34.32 22.7G 612149 F51 C~36iP 2016 04 05.40812 11 59 11.884 +05 21 34.48 22.3G 612149 F51 C~36iP 2017 01 27.62881 12 07 07.543 +04 37 46.27 23.1G 612149 F51 C~36iP 2017 01 27.63818 12 07 07.537 +04 37 46.09 23.3G 612149 F51 C~36iP 2017 01 27.64746 12 07 07.521 +04 37 46.31 22.4G 612149 F51 C~36iP 2017 01 27.65668 12 07 07.501 +04 37 46.99 22.6G 612149 F51 C~36iP 2017 02 21.51051 12 05 59.350 +04 47 53.08 23.0G 612149 F51 C~36iP 2017 03 01.239965 12 05 32.24 +04 51 27.1 612149 W84 C~3i9V 2017 03 01.240984 12 05 32.25 +04 51 27.0 612149 W84 C~3i9V 2017 03 01.242396 12 05 32.25 +04 51 27.1 612149 W84 C~3i9V 2017 03 04.48125 12 05 20.325 +04 52 57.99 22.8G 612149 F51 C~36iP 2017 03 28.45777 12 03 47.218 +05 04 05.10 22.6G 612149 F51 C~36iP 2017 03 29.39081 12 03 43.574 +05 04 29.55 22.3G 612149 F51 C~36iP 2017 04 03.45766 12 03 23.993 +05 06 39.91 22.8G 612149 F51 C~36iP 2017 04 16.30066 12 02 36.847 +05 11 41.16 23.0G 612149 F51 C~36iP 2017 04 16.31276 12 02 36.802 +05 11 41.37 23.4G 612149 F51 C~36iP 2017 04 16.32481 12 02 36.757 +05 11 41.56 22.7G 612149 F51 C~36iP 2017 04 16.33688 12 02 36.726 +05 11 42.31 23.2G 612149 F51 C~36iP 2017 04 20.36420 12 02 22.979 +05 13 05.67 23.3G 612149 F51 C~36iP 2017 04 20.38554 12 02 22.898 +05 13 06.25 22.3G 612149 F51 C~36iP 2017 04 20.39621 12 02 22.868 +05 13 06.28 23.1G 612149 F51 C~36iP 2017 04 27.30551 12 02 00.874 +05 15 16.26 23.2G 612149 F51 C~36iP 2017 04 27.31917 12 02 00.818 +05 15 16.09 23.0G 612149 F51 C~36iP 2017 04 27.33292 12 02 00.807 +05 15 16.09 22.7G 612149 F51 C~36iP 2017 04 27.34672 12 02 00.749 +05 15 16.55 23.0G 612149 F51 C~36iP 2018 01 14.60304 12 11 27.906 +04 19 48.70 23.2G 612149 F51 C~36iP 2018 01 14.61478 12 11 27.889 +04 19 48.85 22.6G 612149 F51 C~36iP 2018 01 14.62658 12 11 27.893 +04 19 49.13 23.6G 612149 F51 C~36iP 2018 01 14.63858 12 11 27.868 +04 19 49.24 23.1G 612149 F51 C~36iP 2018 02 12.51272 12 10 30.466 +04 29 45.98 23.0G 612149 F51 C~36iP 2018 02 12.52523 12 10 30.453 +04 29 46.45 23.0G 612149 F51 C~36iP 2018 02 12.55029 12 10 30.366 +04 29 46.75 22.7G 612149 F51 C~36iP 2018 03 19.39048 12 08 26.997 +04 45 46.91 22.4G 612149 F51 C~36iP 2018 03 19.40344 12 08 26.962 +04 45 47.43 22.4G 612149 F51 C~36iP 2018 03 19.41640 12 08 26.894 +04 45 47.40 22.8G 612149 F51 C~36iP 2018 03 19.42943 12 08 26.870 +04 45 47.75 22.8G 612149 F51 C~36iP 2018 04 10.17871 12 07 02.690 +04 55 15.86 23.6R 612149 G37 C~2bGP 2018 04 10.23088 12 07 02.452 +04 55 17.63 612149 G37 C~2bGP 2018 04 10.28189 12 07 02.275 +04 55 17.94 612149 G37 C~2bGP
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 -0.09 0.00 0.22
2 0.0003 0.00 -0.07 0.00 0.07
3 0.0681 0.00 -0.04 0.00 0.07
4 0.0684 0.00 0.54 0.00 -0.03
5 0.0684 0.00 -0.03 0.00 0.16
6 1.1328 0.00 0.38 0.00 0.07
7 2.0095 0.00 -0.31 0.00 0.14
8 2.0098 0.00 -0.41 0.00 0.13
9 2.0231 0.00 0.27 0.00 -0.39
10 2.0231 0.00 0.32 0.00 -0.31
11 2.0231 0.00 0.31 0.00 -0.38
12 2.0775 0.00 0.05 0.00 0.02
13 2.0775 0.00 -0.05 0.00 -0.01
14 2.0775 0.00 -0.05 0.00 -0.08
15 2.0967 0.00 -0.23 0.00 0.12
16 2.0967 0.00 0.12 0.00 0.10
17 2.0967 0.00 -0.02 0.00 0.03
18 2.1787 0.00 -0.45 0.00 0.32
19 2.1789 0.00 -0.25 0.00 0.22
20 4.1171 0.00 0.34 0.00 0.08
21 4.1174 0.00 0.26 0.00 0.19
22 5.9462 0.00 0.05 0.00 -0.38
23 5.9463 0.00 0.04 0.00 -0.36
24 5.9463 0.00 0.03 0.00 -0.34
25 5.9464 0.00 0.00 0.00 -0.30
26 7.0280 0.00 -0.05 0.00 0.26
27 7.0282 0.00 -0.77 0.00 0.26
28 10.8588 0.00 0.10 0.00 -0.09
29 11.0936 0.00 0.49 0.00 0.12
30 11.1537 0.00 -0.05 0.00 0.17
31 11.1537 0.00 0.08 0.00 -0.17
32 11.1538 0.00 -0.04 0.00 0.08
33 11.1538 0.00 0.13 0.00 -0.11
34 11.3810 0.00 0.03 0.00 0.19
35 12.0252 0.00 -0.12 0.00 -0.01
36 12.0575 0.00 0.13 0.00 0.07
37 12.1394 0.00 0.06 0.00 -0.19
38 12.1394 0.00 -0.23 0.00 0.03
39 12.1395 0.00 0.25 0.00 -0.28
40 12.1395 0.00 -0.03 0.00 0.02
41 13.1607 0.00 0.05 0.00 -0.32
42 13.1608 0.00 -0.10 0.00 0.16
43 14.0643 0.00 -0.12 0.00 -0.32
44 14.0643 0.00 -0.07 0.00 0.14
45 14.0644 0.00 -0.02 0.00 -0.13
46 14.1299 0.00 -0.08 0.00 -0.25
47 14.1299 0.00 0.15 0.00 -0.33
48 14.1299 0.00 0.05 0.00 -0.08
49 14.1300 0.00 -0.28 0.00 0.09
50 14.2309 0.00 -0.05 0.00 0.15
51 14.2309 0.00 -0.01 0.00 0.14
52 14.2310 0.00 0.33 0.00 -0.17
53 14.2310 0.00 -0.13 0.00 -0.03
54 14.3925 0.00 0.24 0.00 0.20
55 14.3925 0.00 -0.16 0.00 0.16
56 14.3925 0.00 0.01 0.00 0.04
57 14.8452 0.00 -0.03 0.00 0.12
58 14.9546 0.00 0.19 0.00 -0.05
59 14.9600 0.00 0.05 0.00 0.23
60 14.9600 0.00 -0.01 0.00 0.10
61 14.9601 0.00 -0.02 0.00 0.15
62 15.0309 0.00 0.03 0.00 -0.16
63 15.0309 0.00 0.26 0.00 0.02
64 15.0310 0.00 0.27 0.00 -0.05
65 15.0310 0.00 0.12 0.00 -0.04
66 15.0366 0.00 0.22 0.00 -0.05
67 15.0392 0.00 0.19 0.00 -0.15
68 15.1268 0.00 -0.06 0.00 0.01
69 15.1268 0.00 -0.04 0.00 0.12
70 15.1269 0.00 0.09 0.00 0.05
71 15.1269 0.00 -0.10 0.00 -0.04
72 15.4219 0.00 -0.20 0.00 0.09
73 15.9374 0.00 0.05 0.00 0.15
74 15.9456 0.00 -0.03 0.00 -0.11
75 15.9456 0.00 -0.10 0.00 -0.16
76 15.9457 0.00 -0.01 0.00 -0.23
77 15.9457 0.00 -0.31 0.00 -0.21
78 16.0111 0.00 -0.09 0.00 0.20
79 16.0112 0.00 -0.15 0.00 -0.06
80 16.0112 0.00 -0.07 0.00 0.04
81 16.0112 0.00 -0.21 0.00 -0.08
82 16.1641 0.00 -0.12 0.00 -0.19
83 16.1642 0.00 -0.57 0.00 0.48
84 16.1642 0.00 -0.10 0.00 0.12
85 16.1642 0.00 0.01 0.00 -0.06
86 16.9780 0.00 -0.19 0.00 0.13
87 16.9780 0.00 0.02 0.00 -0.24
88 16.9780 0.00 0.06 0.00 -0.21
89 16.9781 0.00 0.05 0.00 0.28
90 17.0461 0.00 0.17 0.00 0.09
91 17.0673 0.00 -0.11 0.00 0.05
92 17.0673 0.00 0.10 0.00 -0.08
93 17.0673 0.00 0.17 0.00 -0.02
94 17.0761 0.00 0.04 0.00 -0.17
95 17.1418 0.00 0.05 0.00 0.18
96 17.1443 0.00 -0.03 0.00 0.01
97 17.1582 0.00 0.11 0.00 -0.17
98 17.1934 0.00 0.00 0.00 0.01
99 17.1934 0.00 -0.03 0.00 -0.04
100 17.1934 0.00 -0.06 0.00 -0.11
101 17.1935 0.00 0.12 0.00 0.38
102 17.2045 0.00 -0.06 0.00 -0.00
103 17.2046 0.00 -0.19 0.00 0.15
104 17.2046 0.00 -0.09 0.00 -0.03
105 17.2235 0.00 0.19 0.00 0.23
106 17.2235 0.00 -0.01 0.00 -0.18
107 17.2236 0.00 0.46 0.00 -0.42
108 17.2236 0.00 0.23 0.00 -0.20
109 17.9416 0.00 -0.12 0.00 -0.02
110 17.9417 0.00 -0.19 0.00 -0.05
111 17.9417 0.00 0.06 0.00 0.06
112 17.9417 0.00 -0.13 0.00 -0.01
113 18.0208 0.00 -0.23 0.00 -0.00
114 18.0208 0.00 0.13 0.00 0.15
115 18.0209 0.00 -0.07 0.00 -0.18
116 18.1163 0.00 -0.08 0.00 0.15
117 18.1163 0.00 0.17 0.00 0.31
118 18.1163 0.00 -0.07 0.00 -0.08
119 18.1164 0.00 0.35 0.00 -0.09
120 18.1759 0.00 0.20 0.00 0.20
121 18.1761 0.00 -0.42 0.00 0.73
122 18.1762 0.00 -0.19 0.00 -0.17
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.
612149 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.056 44.056 44.056 ecceobj 0.111 0.111 0.111 incobj 11.616 11.616 11.616 qmin 38.500 38.498 38.503 qmax 50.219 50.188 50.218 amean 44.219 44.219 44.218 amin 43.865 43.862 43.866 amax 44.598 44.601 44.610 emean 0.112 0.112 0.112 emin 0.099 0.099 0.099 emax 0.126 0.126 0.126 imean 10.918 10.918 10.918 imin 10.340 10.341 10.340 imax 11.530 11.530 11.530 excite_mean 0.220 0.220 0.220 fracstop 1.000 1.000 1.000 cjmean 3.046 3.046 3.046 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 187.8 187.7 187.7 kozaiamp 180.0 179.9 180.0