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: 523680
# Created Thu Apr 25 01:08:16 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 120 observations of 120
# Arc: 12.25y
# First observation: 2011/11/10
# Last observation: 2024/02/11
# Chi-squared of fit: 44.31 DOF: 234 RMS: 0.11
# Min/Max residuals: -0.27 0.45
# Exact a, adot, b, bdot, g, gdot:
1.506291E-05 2.358272E-02 -8.907031E-06 -1.511517E-02 2.427446E-02 3.571388E-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
9.723558 109.332440 0.868059 0.079420 -0.463346 2455876.090986
# Heliocentric elements and errors
Epoch: 2455876.5000 = 2011/11/11
Mean Anomaly: 7.39642 +/- 0.000
Argument of Peri: 141.39728 +/- 0.000
Long of Asc Node: 302.88001 +/- 0.000
Inclination: 33.60795 +/- 0.000
Eccentricity: 0.44250361 +/- 0.0000
Semi-Major Axis: 73.21186105 +/- 0.0000
Time of Perihelion: 2451175.5071 +/- 0.0
Perihelion: 40.81534833 +/- 0.0000
Aphelion: 105.60837377 +/- 0.0000
Period (y) 626.4413 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -12.77548817 +/- 0.0000
Ecliptic Y 39.04615153 +/- 0.0000
Ecliptic Z 6.95732216 +/- 0.0000
Ecliptic XDOT -0.00274039 +/- 0.0000
Ecliptic YDOT -0.00022919 +/- 0.0000
Ecliptic ZDOT -0.00161220 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.66788137 +/- 0.0000
Geocenter to KBO 41.19549051 +/- 0.0000
# Hcoef: 5.44
The following table shows the complete astrometric record for 523680. 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 (523680) followed by the observatory code and reference code for the source of the astrometry.
2011 11 10.59022 07 30 09.965 +31 39 44.73 22.0G 523680 F51 C~2kPh 2011 12 16.55438 07 27 51.240 +31 45 06.22 21.7G 523680 F51 C~2kPh 2012 10 18.60166 07 36 02.325 +30 33 25.07 21.9g 523680 F51 C~1vXA 2012 10 18.61541 07 36 02.316 +30 33 25.59 21.7r 523680 F51 C~1vXA 2012 10 18.62760 07 36 02.333 +30 33 25.16 21.8r 523680 F51 C~1vXA 2012 10 31.54234 07 35 58.376 +30 34 31.15 21.9G 523680 F51 C~2kPh 2012 11 28.49664 07 34 48.896 +30 38 13.65 21.6G 523680 F51 C~2kPh 2012 12 23.54593 07 32 50.298 +30 41 38.39 22.0g 523680 F51 C~1vXA 2012 12 23.55450 07 32 50.251 +30 41 38.42 21.6w 523680 F51 C~1vXA 2012 12 23.56894 07 32 50.175 +30 41 38.46 21.8w 523680 F51 C~1vXA 2013 01 01.52010 07 31 59.997 +30 42 32.25 21.7G 523680 F51 C~2kPh 2013 04 12.25294 07 26 08.094 +30 26 55.13 22.4G 523680 F51 C~2kPh 2013 12 04.48029 07 39 54.310 +29 34 15.06 21.5G 523680 F51 C~2kPh 2013 12 26.38498 07 38 07.897 +29 37 07.23 21.8w 523680 F51 C~1vXA 2013 12 26.40040 07 38 07.818 +29 37 07.42 21.7w 523680 F51 C~1vXA 2013 12 26.41585 07 38 07.746 +29 37 07.66 21.9w 523680 F51 C~1vXA 2014 01 24.30416 07 35 23.834 +29 39 04.44 21.6w 523680 F51 C~1vXA 2014 01 24.31540 07 35 23.768 +29 39 04.53 21.6w 523680 F51 C~1vXA 2014 01 24.32665 07 35 23.714 +29 39 04.51 21.6w 523680 F51 C~1vXA 2014 01 24.33791 07 35 23.652 +29 39 04.42 21.7w 523680 F51 C~1vXA 2014 02 20.23646 07 33 08.421 +29 37 33.86 21.9w 523680 F51 C~1vXA 2014 02 20.24770 07 33 08.367 +29 37 33.99 21.7w 523680 F51 C~1vXA 2014 02 20.25895 07 33 08.302 +29 37 34.12 21.9w 523680 F51 C~1vXA 2014 02 20.27218 07 33 08.264 +29 37 33.98 21.8w 523680 F51 C~1vXA 2014 02 27.37058 07 32 40.324 +29 36 32.60 22.0G 523680 F51 C~2kPh 2014 03 18.34244 07 31 48.101 +29 32 32.93 22.5G 523680 F51 C~2kPh 2014 10 01.59828 07 46 08.877 +28 25 41.04 21.7G 523680 F51 C~2kPh 2014 12 26.52800 07 43 30.885 +28 31 58.35 21.4w 523680 F51 C~1vXA 2014 12 26.54036 07 43 30.816 +28 31 58.22 21.7w 523680 F51 C~1vXA 2014 12 26.55274 07 43 30.741 +28 31 58.20 21.7w 523680 F51 C~1vXA 2014 12 26.56510 07 43 30.681 +28 31 58.40 21.5w 523680 F51 C~1vXA 2015 01 20.33292 07 41 12.441 +28 34 09.18 21.8w 523680 F51 C~1vXA 2015 01 20.34483 07 41 12.366 +28 34 09.22 21.7w 523680 F51 C~1vXA 2015 01 20.35678 07 41 12.296 +28 34 09.25 21.8w 523680 F51 C~1vXA 2015 01 20.36875 07 41 12.228 +28 34 09.31 21.7w 523680 F51 C~1vXA 2015 01 22.29765 07 41 01.376 +28 34 14.47 21.9w 523680 F51 C~1vXA 2015 01 22.30952 07 41 01.310 +28 34 14.39 21.9w 523680 F51 C~1vXA 2015 01 22.32143 07 41 01.243 +28 34 14.49 21.7w 523680 F51 C~1vXA 2015 01 22.33333 07 41 01.179 +28 34 14.46 21.6w 523680 F51 C~1vXA 2015 01 28.29740 07 40 28.091 +28 34 24.54 21.6r 523680 F51 C~1vXA 2015 01 28.30566 07 40 28.045 +28 34 24.16 21.6r 523680 F51 C~1vXA 2015 01 28.30971 07 40 28.034 +28 34 24.37 21.8r 523680 F51 C~1vXA 2015 01 28.31787 07 40 27.976 +28 34 24.34 21.4r 523680 F51 C~1vXA 2015 01 28.32196 07 40 27.965 +28 34 24.47 21.8r 523680 F51 C~1vXA 2015 01 28.33009 07 40 27.923 +28 34 24.58 21.9r 523680 F51 C~1vXA 2015 01 28.33417 07 40 27.887 +28 34 24.60 21.8r 523680 F51 C~1vXA 2015 10 28.57423 07 51 43.434 +27 20 43.60 22.4G 523680 F51 C~2kPh 2015 12 02.62339 07 50 32.936 +27 23 30.84 21.7G 523680 F51 C~2kPh 2016 01 07.37520 07 47 41.718 +27 27 54.74 21.9G 523680 F51 C~2kPh 2016 02 09.31182 07 44 42.524 +27 29 34.12 22.5G 523680 F51 C~2kPh 2016 03 31.27296 07 42 07.146 +27 22 32.67 21.9G 523680 F51 C~2kPh 2016 11 10.53395 07 56 28.682 +26 16 17.87 21.7G 523680 F51 C~2kPh 2016 12 25.52699 07 53 50.971 +26 20 59.34 21.7G 523680 F51 C~2kPh 2017 01 08.50956 07 52 36.953 +26 22 38.87 21.3G 523680 F51 C~2kPh 2017 01 16.47633 07 51 53.063 +26 23 26.35 21.9G 523680 F51 C~2kPh 2017 01 18.31285 07 51 42.929 +26 23 35.93 21.8G 523680 F51 C~2kPh 2017 01 28.44113 07 50 47.528 +26 24 18.14 21.4G 523680 F51 C~2kPh 2017 01 28.45343 07 50 47.454 +26 24 18.17 21.7G 523680 F51 C~2kPh 2017 01 28.46576 07 50 47.387 +26 24 18.19 21.7G 523680 F51 C~2kPh 2017 01 28.47813 07 50 47.319 +26 24 18.32 21.8G 523680 F51 C~2kPh 2017 04 10.27786 07 47 08.456 +26 16 35.60 21.6G 523680 F51 C~2kPh 2017 10 28.62298 08 01 27.989 +25 11 09.36 21.9G 523680 F51 C~2kPh 2017 10 28.63066 08 01 27.981 +25 11 09.37 22.1G 523680 F51 C~2kPh 2017 11 21.56409 08 00 57.619 +25 11 43.93 21.8G 523680 F51 C~2kPh 2017 12 23.42488 07 58 58.050 +25 15 05.49 21.8G 523680 F51 C~2kPh 2017 12 23.43777 07 58 57.987 +25 15 05.58 21.9G 523680 F51 C~2kPh 2017 12 23.45074 07 58 57.925 +25 15 05.73 21.8G 523680 F51 C~2kPh 2018 01 08.37942 07 57 36.100 +25 17 03.69 21.8G 523680 F51 C~2kPh 2018 01 11.55275 07 57 18.944 +25 17 25.55 21.8G 523680 F51 C~2kPh 2018 01 11.56437 07 57 18.893 +25 17 25.62 21.7G 523680 F51 C~2kPh 2018 01 11.57603 07 57 18.832 +25 17 25.63 21.7G 523680 F51 C~2kPh 2018 01 11.58766 07 57 18.757 +25 17 25.78 21.8G 523680 F51 C~2kPh 2020 01 26.35405 08 05 33.397 +23 08 06.92 21.8w 523680 F51 C~3i0u 2020 01 26.36626 08 05 33.327 +23 08 06.99 21.6w 523680 F51 C~3i0u 2020 01 26.37859 08 05 33.252 +23 08 07.08 21.6w 523680 F51 C~3i0u 2020 01 26.39095 08 05 33.196 +23 08 07.03 21.6w 523680 F51 C~3i0u 2020 03 22.35750 08 01 48.670 +23 08 58.24 21.8w 523680 F51 C~3pJ6 2020 03 22.37004 08 01 48.637 +23 08 58.20 21.9w 523680 F51 C~3pJ6 2020 03 22.39516 08 01 48.584 +23 08 57.86 22.0w 523680 F51 C~3pJ6 2020 10 19.60240 08 15 00.152 +21 58 24.47 22.0w 523680 F51 C~4Ijw 2020 10 19.62125 08 15 00.183 +21 58 24.38 22.0w 523680 F51 C~4Ijw 2020 10 19.63067 08 15 00.189 +21 58 24.48 22.0w 523680 F51 C~4Ijw 2020 12 09.414860 08 13 52.398 +21 57 14.32 21.9G 523680 G37 C~4TuJ 2020 12 09.466790 08 13 52.218 +21 57 14.53 523680 G37 C~4TuJ 2020 12 09.511130 08 13 52.054 +21 57 14.78 523680 G37 C~4TuJ 2021 01 11.408260 08 11 22.640 +22 01 03.95 21.7G 523680 G37 C~4YAZ 2021 01 11.449000 08 11 22.426 +22 01 04.31 523680 G37 C~4YAZ 2021 01 11.489540 08 11 22.216 +22 01 04.66 523680 G37 C~4YAZ 2021 01 16.37730 08 10 56.763 +22 01 43.25 21.8w 523680 F51 C~4YAZ 2021 01 16.39081 08 10 56.670 +22 01 43.35 21.5w 523680 F51 C~4YAZ 2021 01 16.40329 08 10 56.616 +22 01 43.34 21.6w 523680 F51 C~4YAZ 2021 01 16.41580 08 10 56.539 +22 01 43.64 21.6w 523680 F51 C~4YAZ 2021 11 08.553765 08 19 23.365 +20 52 02.74 21.8w 523680 F51 C~5FYc 2021 11 08.565440 08 19 23.339 +20 52 02.60 21.8w 523680 F51 C~5FYc 2021 11 08.577087 08 19 23.330 +20 52 02.60 21.8w 523680 F51 C~5FYc 2021 11 08.588778 08 19 23.316 +20 52 02.59 21.7w 523680 F51 C~5FYc 2022 01 31.324233 08 14 08.427 +20 58 30.63 21.7w 523680 F52 C~5V3Q 2022 01 31.335659 08 14 08.375 +20 58 30.72 21.6w 523680 F52 C~5V3Q 2022 01 31.347084 08 14 08.309 +20 58 30.81 21.5w 523680 F52 C~5V3Q 2022 03 01.236774 08 11 55.807 +21 01 06.06 21.8w 523680 F52 C~5V3Q 2022 03 01.249446 08 11 55.761 +21 01 06.03 21.7w 523680 F52 C~5V3Q 2022 03 01.262309 08 11 55.699 +21 01 06.04 21.7w 523680 F52 C~5V3Q 2022 03 01.275088 08 11 55.657 +21 01 06.10 21.7w 523680 F52 C~5V3Q 2023 12 07.478780 08 26 54.035 +18 42 51.11 21.9w 523680 F52 C~7d6D 2023 12 07.490372 08 26 53.989 +18 42 51.39 21.7w 523680 F52 C~7d6D 2023 12 07.502030 08 26 53.952 +18 42 51.07 21.9w 523680 F52 C~7d6D 2023 12 07.513630 08 26 53.921 +18 42 51.09 22.0w 523680 F52 C~7d6D 2024 01 10.73473 08 24 33.08 +18 46 03.7 21.7w 523680 O18 C~7liX 2024 01 10.74339 08 24 33.04 +18 46 03.9 22.0w 523680 O18 C~7liX 2024 01 10.75213 08 24 33.00 +18 46 04.0 22.1w 523680 O18 C~7liX 2024 01 19.563512 08 23 49.159 +18 47 20.28 22.2w 523680 F52 C~7liX 2024 01 19.576016 08 23 49.061 +18 47 20.32 22.2w 523680 F52 C~7liX 2024 01 19.601104 08 23 48.931 +18 47 20.70 22.0w 523680 F52 C~7liX 2024 01 31.476638 08 22 49.017 +18 49 06.81 21.6w 523680 F52 C~7mlh 2024 01 31.489080 08 22 48.941 +18 49 06.96 21.7w 523680 F52 C~7mlh 2024 01 31.513883 08 22 48.820 +18 49 06.92 21.5w 523680 F52 C~7mlh 2024 02 11.478486 08 21 55.028 +18 50 40.70 21.6w 523680 F52 C~7uNG 2024 02 11.491507 08 21 54.975 +18 50 40.89 21.9w 523680 F52 C~7uNG 2024 02 11.504520 08 21 54.916 +18 50 40.88 21.8w 523680 F52 C~7uNG 2024 02 11.517524 08 21 54.845 +18 50 40.80 21.7w 523680 F52 C~7uNG
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 0.04 0.00 -0.20
2 0.0985 0.00 -0.04 0.00 -0.16
3 0.9391 0.00 0.11 0.00 -0.01
4 0.9392 0.00 -0.10 0.00 0.45
5 0.9392 0.00 0.10 0.00 -0.03
6 0.9745 0.00 -0.08 0.00 0.05
7 1.0511 0.00 -0.02 0.00 -0.11
8 1.1197 0.00 0.01 0.00 0.04
9 1.1197 0.00 0.02 0.00 0.01
10 1.1197 0.00 0.08 0.00 -0.04
11 1.1442 0.00 -0.03 0.00 -0.19
12 1.4200 0.00 -0.25 0.00 -0.19
13 2.0668 0.00 -0.09 0.00 -0.04
14 2.1267 0.00 -0.00 0.00 0.04
15 2.1268 0.00 0.09 0.00 0.12
16 2.1268 0.00 0.29 0.00 0.25
17 2.2059 0.00 -0.07 0.00 -0.02
18 2.2060 0.00 -0.10 0.00 0.06
19 2.2060 0.00 0.05 0.00 0.03
20 2.2060 0.00 0.08 0.00 -0.07
21 2.2797 0.00 0.09 0.00 -0.23
22 2.2797 0.00 0.00 0.00 -0.02
23 2.2797 0.00 -0.25 0.00 0.19
24 2.2798 0.00 0.03 0.00 0.15
25 2.2992 0.00 -0.16 0.00 0.08
26 2.3511 0.00 -0.06 0.00 0.14
27 2.8912 0.00 -0.03 0.00 -0.17
28 3.1265 0.00 0.09 0.00 0.25
29 3.1265 0.00 0.06 0.00 0.04
30 3.1265 0.00 -0.07 0.00 -0.07
31 3.1266 0.00 0.03 0.00 0.05
32 3.1944 0.00 0.10 0.00 -0.03
33 3.1944 0.00 -0.00 0.00 -0.02
34 3.1944 0.00 -0.03 0.00 -0.03
35 3.1945 0.00 -0.02 0.00 -0.01
36 3.1997 0.00 -0.01 0.00 0.08
37 3.1998 0.00 0.02 0.00 -0.04
38 3.1998 0.00 0.03 0.00 0.03
39 3.1998 0.00 0.08 0.00 -0.03
40 3.2162 0.00 -0.06 0.00 0.19
41 3.2162 0.00 -0.06 0.00 -0.20
42 3.2162 0.00 0.11 0.00 0.00
43 3.2162 0.00 -0.08 0.00 -0.04
44 3.2162 0.00 0.10 0.00 0.09
45 3.2163 0.00 0.14 0.00 0.19
46 3.2163 0.00 -0.06 0.00 0.20
47 3.9644 0.00 0.00 0.00 -0.19
48 4.0603 0.00 0.10 0.00 0.03
49 4.1582 0.00 -0.13 0.00 0.06
50 4.2484 0.00 -0.02 0.00 -0.01
51 4.3879 0.00 -0.08 0.00 -0.21
52 5.0019 0.00 -0.08 0.00 -0.02
53 5.1251 0.00 0.05 0.00 -0.12
54 5.1634 0.00 -0.12 0.00 -0.06
55 5.1852 0.00 -0.08 0.00 -0.08
56 5.1902 0.00 -0.00 0.00 -0.11
57 5.2179 0.00 0.12 0.00 -0.04
58 5.2180 0.00 0.01 0.00 -0.04
59 5.2180 0.00 0.02 0.00 -0.06
60 5.2180 0.00 0.01 0.00 0.03
61 5.4146 0.00 -0.26 0.00 -0.00
62 5.9659 0.00 0.03 0.00 -0.02
63 5.9659 0.00 -0.07 0.00 0.00
64 6.0314 0.00 -0.04 0.00 -0.13
65 6.1186 0.00 -0.03 0.00 -0.03
66 6.1187 0.00 -0.03 0.00 -0.04
67 6.1187 0.00 -0.00 0.00 0.01
68 6.1623 0.00 -0.05 0.00 -0.05
69 6.1710 0.00 -0.13 0.00 0.01
70 6.1710 0.00 0.06 0.00 0.00
71 6.1711 0.00 0.10 0.00 -0.06
72 6.1711 0.00 -0.06 0.00 0.01
73 8.2102 0.00 0.09 0.00 0.03
74 8.2102 0.00 0.02 0.00 0.02
75 8.2102 0.00 -0.11 0.00 0.02
76 8.2103 0.00 0.04 0.00 -0.11
77 8.3635 0.00 0.17 0.00 0.10
78 8.3635 0.00 0.06 0.00 0.14
79 8.3636 0.00 0.03 0.00 -0.04
80 8.9419 0.00 -0.14 0.00 -0.18
81 8.9419 0.00 0.02 0.00 -0.11
82 8.9419 0.00 -0.04 0.00 0.08
83 9.0810 0.00 -0.13 0.00 0.00
84 9.0811 0.00 0.03 0.00 -0.04
85 9.0812 0.00 0.01 0.00 -0.01
86 9.1713 0.00 0.03 0.00 -0.01
87 9.1714 0.00 0.02 0.00 0.03
88 9.1715 0.00 0.05 0.00 0.07
89 9.1849 0.00 0.16 0.00 0.02
90 9.1849 0.00 -0.16 0.00 0.01
91 9.1850 0.00 0.03 0.00 -0.10
92 9.1850 0.00 -0.13 0.00 0.10
93 9.9958 0.00 0.30 0.00 0.14
94 9.9958 0.00 0.05 0.00 0.05
95 9.9959 0.00 0.06 0.00 0.09
96 9.9959 0.00 -0.01 0.00 0.13
97 10.2251 0.00 -0.05 0.00 0.03
98 10.2252 0.00 0.06 0.00 0.03
99 10.2252 0.00 -0.04 0.00 0.03
100 10.3043 0.00 0.08 0.00 0.07
101 10.3043 0.00 0.14 0.00 0.00
102 10.3044 0.00 -0.04 0.00 -0.02
103 10.3044 0.00 0.08 0.00 0.00
104 12.0736 0.00 0.01 0.00 -0.02
105 12.0736 0.00 -0.14 0.00 0.24
106 12.0737 0.00 -0.15 0.00 -0.11
107 12.0737 0.00 -0.07 0.00 -0.11
108 12.1674 0.00 -0.14 0.00 -0.15
109 12.1674 0.00 -0.10 0.00 -0.02
110 12.1675 0.00 -0.05 0.00 0.01
111 12.1916 0.00 0.27 0.00 0.02
112 12.1916 0.00 -0.24 0.00 -0.04
113 12.1917 0.00 -0.27 0.00 0.12
114 12.2242 0.00 0.18 0.00 0.03
115 12.2242 0.00 -0.01 0.00 0.07
116 12.2243 0.00 0.06 0.00 -0.19
117 12.2543 0.00 0.02 0.00 -0.00
118 12.2543 0.00 0.17 0.00 0.09
119 12.2544 0.00 0.23 0.00 -0.03
120 12.2544 0.00 0.11 0.00 -0.21
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.
523680 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 73.586 73.586 73.586 ecceobj 0.445 0.445 0.445 incobj 33.606 33.606 33.606 qmin 39.910 39.910 39.909 qmax 107.052 107.053 107.061 amean 72.674 72.674 72.674 amin 71.798 71.796 71.765 amax 73.885 73.887 73.868 emean 0.439 0.439 0.439 emin 0.426 0.426 0.428 emax 0.451 0.451 0.451 imean 35.057 35.058 35.044 imin 34.685 34.686 34.685 imax 35.418 35.436 35.386 excite_mean 0.723 0.723 0.723 fracstop 1.000 1.000 1.000 cjmean 2.699 2.699 2.699 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 196.5 196.5 196.6 kozaiamp 57.4 57.7 58.3