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: 523686
# Created Sun Dec 22 02:07:19 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 121 observations of 121
# Arc: 8.18y
# First observation: 2010/04/12
# Last observation: 2018/06/18
# Chi-squared of fit: 31.60 DOF: 236 RMS: 0.09
# Min/Max residuals: -0.30 0.35
# Exact a, adot, b, bdot, g, gdot:
2.329105E-05 8.013054E-02 8.543441E-06 3.067986E-02 5.677291E-02 5.427429E-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
4.078008 -141.302316 0.286904 0.068475 -0.961061 2455298.993716
# Heliocentric elements and errors
Epoch: 2455298.5000 = 2010/04/12
Mean Anomaly: 28.24577 +/- 0.000
Argument of Peri: 337.00084 +/- 0.000
Long of Asc Node: 207.87353 +/- 0.000
Inclination: 21.36245 +/- 0.000
Eccentricity: 0.09014905 +/- 0.0000
Semi-Major Axis: 20.13300794 +/- 0.0000
Time of Perihelion: 2452709.6177 +/- 0.0
Perihelion: 18.31803644 +/- 0.0000
Aphelion: 21.94797944 +/- 0.0000
Period (y) 90.3382 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -14.63924432 +/- 0.0000
Ecliptic Y -11.36573810 +/- 0.0000
Ecliptic Z 1.25279854 +/- 0.0000
Ecliptic XDOT 0.00229633 +/- 0.0000
Ecliptic YDOT -0.00310742 +/- 0.0000
Ecliptic ZDOT 0.00149434 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 18.57569000 +/- 0.0000
Geocenter to KBO 17.61404101 +/- 0.0000
# Hcoef: 9.05
The following table shows the complete astrometric record for 523686. 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 (523686) followed by the observatory code and reference code for the source of the astrometry.
2010 04 12.49295 14 30 34.476 -10 32 02.34 21.6G 523686 F51 C~2kPp 2010 05 10.38798 14 26 11.464 -10 01 26.23 21.4G 523686 F51 C~2kPp 2010 05 11.38480 14 26 02.157 -10 00 24.59 21.0G 523686 F51 C~2kPp 2010 05 11.39681 14 26 02.057 -10 00 23.74 20.7G 523686 F51 C~2kPp 2010 08 05.29403 14 20 54.403 -09 25 10.24 21.3G 523686 F51 C~2kPp 2010 08 05.30142 14 20 54.437 -09 25 10.50 22.3G 523686 F51 C~2kPp 2010 08 08.28303 14 21 07.914 -09 26 11.49 21.1G 523686 F51 C~2kPp 2011 01 22.66996 14 53 07.542 -11 12 46.40 21.3G 523686 F51 C~2kPp 2011 04 13.43662 14 50 19.279 -10 15 52.04 21.6G 523686 F51 C~2kPp 2011 04 15.50387 14 50 01.128 -10 13 38.03 22.1G 523686 F51 C~2kPp 2011 07 04.28589 14 39 37.207 -09 11 12.35 22.0G 523686 F51 C~2kPp 2012 04 21.50639 15 08 38.586 -09 46 58.79 21.5G 523686 F51 C~2kPp 2012 04 27.53267 15 07 42.960 -09 40 43.90 22.1G 523686 F51 C~2kPp 2012 04 27.54327 15 07 42.853 -09 40 43.27 21.7G 523686 F51 C~2kPp 2012 04 28.42177 15 07 34.612 -09 39 49.37 21.7G 523686 F51 C~2kPp 2012 05 01.47015 15 07 05.657 -09 36 43.52 21.4G 523686 F51 C~2kPp 2013 04 15.50081 15 28 53.855 -09 30 04.62 21.7G 523686 F51 C~2kPp 2013 04 15.51508 15 28 53.730 -09 30 03.46 21.7G 523686 F51 C~2kPp 2013 04 15.52931 15 28 53.603 -09 30 02.83 22.0G 523686 F51 C~2kPp 2013 04 15.54359 15 28 53.501 -09 30 01.75 22.1G 523686 F51 C~2kPp 2013 04 23.50210 15 27 46.205 -09 21 56.47 21.4G 523686 F51 C~2kPp 2013 07 13.29254 15 17 06.715 -08 32 52.30 22.2G 523686 F51 C~2kPp 2014 02 28.55384 15 50 42.036 -09 45 43.59 21.9w 523686 F51 C~1vXG 2014 02 28.56578 15 50 42.030 -09 45 42.96 22.0w 523686 F51 C~1vXG 2014 02 28.57772 15 50 42.064 -09 45 42.39 21.9w 523686 F51 C~1vXG 2014 02 28.58964 15 50 42.060 -09 45 42.06 21.9w 523686 F51 C~1vXG 2014 05 04.45237 15 45 17.826 -08 44 55.08 21.7w 523686 F51 C~1vXG 2014 05 04.46430 15 45 17.718 -08 44 54.18 21.6w 523686 F51 C~1vXG 2014 05 04.47623 15 45 17.603 -08 44 53.68 21.7w 523686 F51 C~1vXG 2014 05 04.48817 15 45 17.492 -08 44 53.01 21.8w 523686 F51 C~1vXG 2014 05 08.42492 15 44 40.530 -08 41 17.22 21.3i 523686 F51 C~1vXG 2014 05 08.43713 15 44 40.402 -08 41 16.51 21.4i 523686 F51 C~1vXG 2014 05 08.44935 15 44 40.299 -08 41 16.01 21.0i 523686 F51 C~1vXG 2014 05 08.46156 15 44 40.173 -08 41 15.34 21.3i 523686 F51 C~1vXG 2014 05 22.41600 15 42 25.530 -08 29 35.94 22.0w 523686 F51 C~1vXG 2014 05 22.42979 15 42 25.407 -08 29 35.31 21.5w 523686 F51 C~1vXG 2014 05 22.44323 15 42 25.254 -08 29 34.88 21.7w 523686 F51 C~1vXG 2014 05 22.45665 15 42 25.128 -08 29 34.24 21.5w 523686 F51 C~1vXG 2014 05 24.43576 15 42 05.994 -08 28 04.89 21.7G 523686 F51 C~2kPp 2014 05 24.44839 15 42 05.876 -08 28 04.28 21.5G 523686 F51 C~2kPp 2014 06 21.34798 15 37 59.747 -08 12 37.89 21.6w 523686 F51 C~1vXG 2014 06 21.36061 15 37 59.648 -08 12 37.65 21.6w 523686 F51 C~1vXG 2014 06 21.37324 15 37 59.550 -08 12 37.23 21.8w 523686 F51 C~1vXG 2014 06 29.38985 15 37 03.476 -08 10 21.47 21.7G 523686 F51 C~2kPp 2014 06 29.40296 15 37 03.385 -08 10 21.26 21.1G 523686 F51 C~2kPp 2014 07 27.28134 15 35 09.223 -08 10 30.57 21.9w 523686 F51 C~1vXG 2014 07 27.29349 15 35 09.200 -08 10 30.97 21.8w 523686 F51 C~1vXG 2014 07 27.30561 15 35 09.186 -08 10 31.00 21.6w 523686 F51 C~1vXG 2014 07 27.31770 15 35 09.157 -08 10 31.23 21.6w 523686 F51 C~1vXG 2015 03 30.58091 16 08 13.796 -08 49 11.36 22.0w 523686 F51 C~2HP3 2015 03 30.59356 16 08 13.750 -08 49 10.43 21.9w 523686 F51 C~2HP3 2015 03 30.60620 16 08 13.694 -08 49 09.86 22.0w 523686 F51 C~2HP3 2015 03 30.61883 16 08 13.628 -08 49 09.00 21.6w 523686 F51 C~2HP3 2015 04 23.55002 16 05 45.751 -08 25 37.48 21.5G 523686 F51 C~2kPp 2015 04 23.56276 16 05 45.656 -08 25 36.79 21.4G 523686 F51 C~2kPp 2015 06 16.40610 15 57 29.779 -07 46 23.20 22.0G 523686 F51 C~2kPp 2015 06 17.38116 15 57 21.439 -07 46 01.02 21.7G 523686 F51 C~2kPp 2015 06 23.38888 15 56 32.152 -07 44 02.30 21.6G 523686 F51 C~2kPp 2015 06 24.35540 15 56 24.604 -07 43 46.37 21.5G 523686 F51 C~2kPp 2016 03 17.62222 16 26 54.767 -08 27 56.62 21.9G 523686 F51 C~2kPp 2016 03 17.63079 16 26 54.767 -08 27 56.05 22.2G 523686 F51 C~2kPp 2016 03 17.63930 16 26 54.748 -08 27 55.66 22.3G 523686 F51 C~2kPp 2016 04 04.52620 16 26 05.860 -08 10 38.42 22.0G 523686 F51 C~2kPp 2016 04 04.53935 16 26 05.797 -08 10 37.56 21.6G 523686 F51 C~2kPp 2016 04 04.55250 16 26 05.734 -08 10 36.75 22.3G 523686 F51 C~2kPp 2016 04 04.56564 16 26 05.681 -08 10 36.04 21.7G 523686 F51 C~2kPp 2016 04 15.51405 16 25 06.415 -07 59 49.72 21.8G 523686 F51 C~2kPp 2016 04 15.52603 16 25 06.349 -07 59 49.09 22.1G 523686 F51 C~2kPp 2016 04 15.53800 16 25 06.254 -07 59 48.42 21.8G 523686 F51 C~2kPp 2016 04 15.54996 16 25 06.174 -07 59 47.73 21.8G 523686 F51 C~2kPp 2016 05 04.51152 16 22 42.358 -07 42 06.72 21.7G 523686 F51 C~2kPp 2016 05 04.52344 16 22 42.258 -07 42 06.12 22.0G 523686 F51 C~2kPp 2016 05 04.52420 16 22 42.241 -07 42 06.04 21.7G 523686 F51 C~2kPp 2016 05 04.53610 16 22 42.137 -07 42 05.35 21.7G 523686 F51 C~2kPp 2016 05 04.53687 16 22 42.145 -07 42 05.37 21.9G 523686 F51 C~2kPp 2016 05 04.54879 16 22 42.032 -07 42 04.43 21.6G 523686 F51 C~2kPp 2016 05 15.49568 16 21 02.514 -07 33 02.59 21.3G 523686 F51 C~2kPp 2016 06 05.36423 16 17 41.359 -07 19 32.18 21.7G 523686 F51 C~2kPp 2016 06 05.37482 16 17 41.256 -07 19 31.87 21.6G 523686 F51 C~2kPp 2016 06 05.38549 16 17 41.154 -07 19 31.61 21.7G 523686 F51 C~2kPp 2016 06 05.39611 16 17 41.052 -07 19 31.18 21.6G 523686 F51 C~2kPp 2016 06 07.44610 16 17 21.527 -07 18 30.48 22.1G 523686 F51 C~2kPp 2016 06 07.45721 16 17 21.413 -07 18 30.17 22.1G 523686 F51 C~2kPp 2016 06 07.46832 16 17 21.309 -07 18 29.91 21.9G 523686 F51 C~2kPp 2016 06 07.47947 16 17 21.199 -07 18 29.53 21.9G 523686 F51 C~2kPp 2016 06 29.37460 16 14 11.074 -07 11 41.07 21.9G 523686 F51 C~2kPp 2016 06 29.38507 16 14 10.995 -07 11 40.93 21.9G 523686 F51 C~2kPp 2016 06 29.39553 16 14 10.923 -07 11 40.86 21.8G 523686 F51 C~2kPp 2016 06 29.40608 16 14 10.831 -07 11 40.81 22.1G 523686 F51 C~2kPp 2016 07 06.38059 16 13 20.845 -07 11 05.80 22.2G 523686 F51 C~2kPp 2016 07 31.27036 16 11 24.391 -07 15 07.08 22.4G 523686 F51 C~2kPp 2016 07 31.28232 16 11 24.367 -07 15 07.44 22.3G 523686 F51 C~2kPp 2016 07 31.29430 16 11 24.329 -07 15 07.60 22.1G 523686 F51 C~2kPp 2016 07 31.30622 16 11 24.298 -07 15 07.83 22.0G 523686 F51 C~2kPp 2017 04 26.54434 16 42 04.206 -07 14 16.30 22.0G 523686 F51 C~2kPp 2017 04 26.55537 16 42 04.120 -07 14 15.74 21.8G 523686 F51 C~2kPp 2017 04 26.56638 16 42 04.033 -07 14 15.19 22.1G 523686 F51 C~2kPp 2017 04 26.57735 16 42 03.961 -07 14 14.57 22.1G 523686 F51 C~2kPp 2017 05 02.38778 16 41 19.67 -07 09 01.0 21.6R 523686 G37 C~2HP3 2017 05 02.45290 16 41 19.14 -07 08 57.8 523686 G37 C~2HP3 2017 05 22.48128 16 38 21.367 -06 53 18.61 21.6G 523686 F51 C~2kPp 2017 05 22.49401 16 38 21.249 -06 53 18.09 22.3G 523686 F51 C~2kPp 2017 05 22.50669 16 38 21.119 -06 53 17.61 21.8G 523686 F51 C~2kPp 2017 06 23.35032 16 33 19.873 -06 39 03.98 21.7G 523686 F51 C~2kPp 2017 06 23.35419 16 33 19.836 -06 39 03.87 22.0G 523686 F51 C~2kPp 2017 06 23.36425 16 33 19.753 -06 39 03.88 21.6G 523686 F51 C~2kPp 2017 06 23.36813 16 33 19.715 -06 39 03.74 21.5G 523686 F51 C~2kPp 2017 06 23.37820 16 33 19.633 -06 39 03.68 21.7G 523686 F51 C~2kPp 2017 06 23.38207 16 33 19.587 -06 39 03.72 21.8G 523686 F51 C~2kPp 2017 06 23.39211 16 33 19.497 -06 39 03.46 21.9G 523686 F51 C~2kPp 2017 06 23.39598 16 33 19.469 -06 39 03.50 21.8G 523686 F51 C~2kPp 2017 08 08.26609 16 28 58.233 -06 45 52.11 22.0G 523686 F51 C~2kPp 2017 08 08.27736 16 28 58.217 -06 45 52.51 22.7G 523686 F51 C~2kPp 2017 08 08.28858 16 28 58.193 -06 45 52.75 22.2G 523686 F51 C~2kPp 2018 06 17.36458 16 52 21.677 -06 04 11.49 21.9w 523686 F51 C~2g3y 2018 06 17.37565 16 52 21.576 -06 04 11.23 22.0w 523686 F51 C~2g3y 2018 06 17.39779 16 52 21.362 -06 04 10.89 22.0w 523686 F51 C~2g3y 2018 06 18.36402 16 52 12.308 -06 03 55.58 22.2w 523686 F51 C~2g3y 2018 06 18.37767 16 52 12.159 -06 03 55.35 22.0w 523686 F51 C~2g3y 2018 06 18.39129 16 52 12.042 -06 03 54.92 21.9w 523686 F51 C~2g3y 2018 06 18.40491 16 52 11.902 -06 03 54.92 22.2w 523686 F51 C~2g3y
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 0.06
2 0.0764 0.00 0.08 0.00 -0.01
3 0.0791 0.00 -0.08 0.00 -0.02
4 0.0791 0.00 0.13 0.00 0.09
5 0.3143 0.00 -0.01 0.00 -0.03
6 0.3143 0.00 0.04 0.00 -0.15
7 0.3225 0.00 -0.09 0.00 0.21
8 0.7808 0.00 0.35 0.00 -0.25
9 1.0019 0.00 0.21 0.00 -0.06
10 1.0076 0.00 -0.14 0.00 0.01
11 1.2260 0.00 -0.07 0.00 0.02
12 2.0260 0.00 0.05 0.00 -0.11
13 2.0425 0.00 -0.03 0.00 0.01
14 2.0426 0.00 -0.11 0.00 -0.01
15 2.0450 0.00 0.00 0.00 -0.12
16 2.0533 0.00 -0.09 0.00 -0.10
17 3.0089 0.00 0.15 0.00 -0.16
18 3.0090 0.00 0.03 0.00 0.13
19 3.0090 0.00 -0.11 0.00 -0.11
20 3.0090 0.00 0.12 0.00 0.09
21 3.0308 0.00 -0.04 0.00 -0.12
22 3.2520 0.00 -0.06 0.00 -0.07
23 3.8824 0.00 -0.05 0.00 0.02
24 3.8825 0.00 -0.30 0.00 0.12
25 3.8825 0.00 0.06 0.00 0.15
26 3.8825 0.00 -0.15 0.00 -0.05
27 4.0601 0.00 -0.00 0.00 -0.15
28 4.0602 0.00 0.07 0.00 0.09
29 4.0602 0.00 0.04 0.00 -0.07
30 4.0602 0.00 0.08 0.00 -0.07
31 4.0710 0.00 0.07 0.00 0.09
32 4.0710 0.00 -0.08 0.00 0.14
33 4.0711 0.00 0.15 0.00 -0.02
34 4.0711 0.00 0.03 0.00 -0.00
35 4.1093 0.00 0.04 0.00 0.15
36 4.1093 0.00 0.24 0.00 0.14
37 4.1094 0.00 -0.06 0.00 -0.04
38 4.1094 0.00 0.04 0.00 -0.02
39 4.1148 0.00 0.01 0.00 -0.05
40 4.1149 0.00 0.11 0.00 -0.00
41 4.1913 0.00 -0.03 0.00 0.06
42 4.1913 0.00 -0.05 0.00 0.03
43 4.1913 0.00 -0.06 0.00 0.19
44 4.2133 0.00 -0.02 0.00 -0.06
45 4.2133 0.00 -0.09 0.00 -0.02
46 4.2896 0.00 0.02 0.00 0.21
47 4.2897 0.00 -0.02 0.00 -0.03
48 4.2897 0.00 0.09 0.00 0.10
49 4.2897 0.00 -0.04 0.00 0.03
50 4.9640 0.00 -0.07 0.00 -0.01
51 4.9640 0.00 0.07 0.00 0.18
52 4.9640 0.00 0.06 0.00 0.01
53 4.9641 0.00 -0.10 0.00 0.13
54 5.0296 0.00 -0.07 0.00 0.09
55 5.0296 0.00 0.05 0.00 0.04
56 5.1770 0.00 0.01 0.00 0.13
57 5.1797 0.00 0.03 0.00 -0.12
58 5.1962 0.00 0.02 0.00 -0.02
59 5.1988 0.00 0.03 0.00 0.01
60 5.9305 0.00 -0.13 0.00 -0.01
61 5.9306 0.00 0.02 0.00 0.08
62 5.9306 0.00 -0.13 0.00 -0.00
63 5.9796 0.00 -0.06 0.00 -0.08
64 5.9796 0.00 -0.09 0.00 -0.00
65 5.9796 0.00 -0.12 0.00 0.03
66 5.9797 0.00 0.00 0.00 -0.04
67 6.0096 0.00 0.01 0.00 0.12
68 6.0097 0.00 0.19 0.00 0.05
69 6.0097 0.00 -0.07 0.00 0.02
70 6.0097 0.00 -0.10 0.00 0.01
71 6.0617 0.00 0.02 0.00 -0.06
72 6.0617 0.00 0.10 0.00 -0.09
73 6.0617 0.00 -0.05 0.00 -0.05
74 6.0617 0.00 -0.03 0.00 0.02
75 6.0617 0.00 0.19 0.00 -0.04
76 6.0618 0.00 0.08 0.00 0.27
77 6.0917 0.00 0.02 0.00 -0.11
78 6.1489 0.00 -0.01 0.00 0.00
79 6.1489 0.00 -0.01 0.00 -0.01
80 6.1489 0.00 0.02 0.00 -0.08
81 6.1489 0.00 0.05 0.00 0.03
82 6.1546 0.00 0.07 0.00 0.01
83 6.1546 0.00 -0.03 0.00 -0.00
84 6.1546 0.00 0.02 0.00 -0.06
85 6.1547 0.00 -0.02 0.00 -0.00
86 6.2146 0.00 -0.10 0.00 -0.07
87 6.2146 0.00 -0.06 0.00 -0.01
88 6.2147 0.00 0.08 0.00 -0.03
89 6.2147 0.00 -0.06 0.00 -0.07
90 6.2338 0.00 -0.11 0.00 0.09
91 6.3019 0.00 0.00 0.00 -0.00
92 6.3020 0.00 0.12 0.00 -0.12
93 6.3020 0.00 0.02 0.00 -0.03
94 6.3020 0.00 0.03 0.00 -0.02
95 7.0392 0.00 0.01 0.00 0.02
96 7.0392 0.00 -0.05 0.00 -0.03
97 7.0392 0.00 -0.12 0.00 -0.09
98 7.0392 0.00 0.02 0.00 -0.07
99 7.0552 0.00 -0.02 0.00 0.16
100 7.0553 0.00 -0.02 0.00 -0.07
101 7.1102 0.00 -0.01 0.00 0.01
102 7.1102 0.00 0.08 0.00 0.02
103 7.1102 0.00 -0.03 0.00 -0.02
104 7.1974 0.00 -0.05 0.00 0.00
105 7.1974 0.00 -0.09 0.00 0.06
106 7.1975 0.00 0.01 0.00 -0.07
107 7.1975 0.00 -0.04 0.00 0.02
108 7.1975 0.00 0.08 0.00 -0.04
109 7.1975 0.00 -0.09 0.00 -0.13
110 7.1975 0.00 -0.10 0.00 0.01
111 7.1975 0.00 -0.00 0.00 -0.08
112 7.3231 0.00 -0.12 0.00 0.00
113 7.3232 0.00 -0.02 0.00 -0.08
114 7.3232 0.00 -0.05 0.00 -0.01
115 8.1803 0.00 -0.05 0.00 -0.06
116 8.1804 0.00 0.03 0.00 0.02
117 8.1804 0.00 0.01 0.00 0.00
118 8.1831 0.00 0.23 0.00 -0.03
119 8.1831 0.00 -0.05 0.00 -0.01
120 8.1832 0.00 0.14 0.00 0.21
121 8.1832 0.00 -0.00 0.00 0.00
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.
523686 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 20.096 20.096 20.096 ecceobj 0.089 0.089 0.089 incobj 21.377 21.377 21.377 qmin 18.284 18.284 18.284 qmax 22.809 22.810 22.808 amean 20.321 20.321 20.321 amin 20.096 20.096 20.096 amax 20.547 20.547 20.546 emean 0.100 0.100 0.100 emin 0.089 0.089 0.089 emax 0.110 0.110 0.110 imean 21.631 21.631 21.631 imin 21.553 21.553 21.554 imax 21.708 21.708 21.708 excite_mean 0.382 0.382 0.382 fracstop 0.000 0.000 0.000 cjmean 3.007 3.007 3.007 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 337.6 337.6 337.6 kozaiamp 1.5 1.5 1.5