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: 548141
# Created Sun Dec 22 02:07:34 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 124 observations of 124
# Arc: 14.23y
# First observation: 2010/02/04
# Last observation: 2024/04/27
# Chi-squared of fit: 74.18 DOF: 242 RMS: 0.14
# Min/Max residuals: -0.34 0.50
# Exact a, adot, b, bdot, g, gdot:
1.884170E-05 4.809138E-02 6.127498E-06 1.567428E-02 4.001602E-02 -3.282266E-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
7.846913 145.958740 0.179496 0.132984 -0.964997 2455232.055876
# Heliocentric elements and errors
Epoch: 2455232.5000 = 2010/02/05
Mean Anomaly: 309.29925 +/- 0.000
Argument of Peri: 82.23128 +/- 0.000
Long of Asc Node: 123.67564 +/- 0.000
Inclination: 19.58642 +/- 0.000
Eccentricity: 0.08878766 +/- 0.0000
Semi-Major Axis: 27.34876424 +/- 0.0000
Time of Perihelion: 2462589.7725 +/- 0.0
Perihelion: 24.92053155 +/- 0.0000
Aphelion: 29.77699694 +/- 0.0000
Period (y) 143.0259 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -21.21678467 +/- 0.0000
Ecliptic Y 14.54905663 +/- 0.0000
Ecliptic Z 3.41195652 +/- 0.0000
Ecliptic XDOT -0.00153358 +/- 0.0000
Ecliptic YDOT -0.00292730 +/- 0.0000
Ecliptic ZDOT 0.00103165 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 25.95130677 +/- 0.0000
Geocenter to KBO 24.99006159 +/- 0.0000
# Hcoef: 8.00
The following table shows the complete astrometric record for 548141. 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 (548141) followed by the observatory code and reference code for the source of the astrometry.
2010 02 04.55511 10 04 06.897 +20 14 00.72 22.3G 548141 F51 C~344z 2010 02 04.56449 10 04 06.818 +20 14 01.30 22.2G 548141 F51 C~344z 2010 02 09.39545 10 03 31.225 +20 18 09.68 22.5G 548141 F51 C~344z 2010 05 31.27812 09 57 05.973 +20 44 40.01 22.0G 548141 F51 C~344z 2010 05 31.28728 09 57 05.999 +20 44 40.27 22.7G 548141 F51 C~344z 2010 06 01.28245 09 57 09.865 +20 44 10.39 22.2G 548141 F51 C~344z 2010 06 05.29757 09 57 26.776 +20 42 06.21 21.7G 548141 F51 C~344z 2010 06 05.30608 09 57 26.830 +20 42 06.25 22.0G 548141 F51 C~344z 2011 02 03.42826 10 16 37.948 +20 03 35.28 21.9G 548141 F51 C~344z 2011 02 03.43980 10 16 37.877 +20 03 36.06 22.2G 548141 F51 C~344z 2011 02 04.42369 10 16 30.918 +20 04 29.17 21.5G 548141 F51 C~344z 2011 02 04.43523 10 16 30.860 +20 04 29.81 23.1G 548141 F51 C~344z 2012 02 03.60570 10 29 03.050 +19 50 56.75 21.9G 548141 F51 C~344z 2012 02 03.61714 10 29 02.971 +19 50 57.35 21.7G 548141 F51 C~344z 2012 02 04.54700 10 28 56.594 +19 51 48.95 21.9G 548141 F51 C~344z 2012 02 04.55999 10 28 56.527 +19 51 49.97 22.4G 548141 F51 C~344z 2012 02 14.52996 10 27 45.384 +20 00 57.46 22.8G 548141 F51 C~344z 2012 02 14.54343 10 27 45.253 +20 00 58.36 22.1G 548141 F51 C~344z 2012 02 15.35739 10 27 39.301 +20 01 42.01 21.7G 548141 F51 C~344z 2012 02 15.37124 10 27 39.194 +20 01 42.84 21.8G 548141 F51 C~344z 2012 02 15.38509 10 27 39.093 +20 01 43.55 22.2G 548141 F51 C~344z 2012 02 15.39912 10 27 38.979 +20 01 44.28 21.9G 548141 F51 C~344z 2012 12 29.55209 10 44 17.941 +19 03 12.10 22.2G 548141 F51 C~344z 2013 02 13.37465 10 40 18.055 +19 44 57.88 21.7G 548141 F51 C~344z 2013 02 13.38846 10 40 17.966 +19 44 58.78 22.1G 548141 F51 C~344z 2013 02 13.40228 10 40 17.849 +19 44 59.60 21.8G 548141 F51 C~344z 2013 02 13.41625 10 40 17.761 +19 45 00.31 22.4G 548141 F51 C~344z 2013 03 19.44239 10 36 09.149 +20 12 03.78 21.9G 548141 F51 C~344z 2013 03 19.45341 10 36 09.064 +20 12 04.03 21.7G 548141 F51 C~344z 2014 01 25.62189 10 54 50.691 +19 07 22.67 20.5G 548141 F51 C~344z 2014 03 25.50325 10 48 02.274 +19 57 45.61 21.0G 548141 F51 C~344z 2014 05 16.29827 10 44 43.087 +20 04 49.57 22.2G 548141 F51 C~344z 2014 05 23.26973 10 44 44.137 +20 02 24.55 22.2G 548141 F51 C~344z 2014 05 23.28257 10 44 44.151 +20 02 24.27 22.2G 548141 F51 C~344z 2014 05 23.29546 10 44 44.156 +20 02 24.00 22.1G 548141 F51 C~344z 2014 05 23.30834 10 44 44.162 +20 02 23.59 22.2G 548141 F51 C~344z 2015 02 20.56509 11 04 37.666 +19 10 06.43 21.8G 548141 F51 C~344z 2015 02 20.57867 11 04 37.566 +19 10 06.95 21.4G 548141 F51 C~344z 2015 02 20.59228 11 04 37.463 +19 10 08.04 21.7G 548141 F51 C~344z 2015 02 20.60603 11 04 37.374 +19 10 08.71 21.9G 548141 F51 C~344z 2015 02 23.35911 11 04 17.585 +19 12 45.86 21.7G 548141 F51 C~344z 2015 02 23.37166 11 04 17.490 +19 12 46.56 22.2G 548141 F51 C~344z 2015 02 23.38426 11 04 17.399 +19 12 47.22 21.9G 548141 F51 C~344z 2015 02 23.39682 11 04 17.303 +19 12 48.06 22.2G 548141 F51 C~344z 2015 03 28.29738 11 00 19.567 +19 38 17.48 22.5G 548141 F51 C~344z 2015 03 28.31001 11 00 19.488 +19 38 17.80 21.7G 548141 F51 C~344z 2015 03 28.32263 11 00 19.411 +19 38 17.98 22.1G 548141 F51 C~344z 2015 03 28.33549 11 00 19.331 +19 38 18.70 22.5G 548141 F51 C~344z 2015 04 07.40089 10 59 16.331 +19 43 07.81 22.4G 548141 F51 C~344z 2015 04 07.41401 10 59 16.267 +19 43 08.13 22.0G 548141 F51 C~344z 2015 04 07.42730 10 59 16.192 +19 43 08.67 21.7G 548141 F51 C~344z 2015 04 07.44069 10 59 16.129 +19 43 09.22 22.1G 548141 F51 C~344z 2015 04 09.26710 10 59 05.632 +19 43 50.60 21.4G 548141 F51 C~344z 2016 01 03.52612 11 21 00.619 +17 57 54.14 21.4G 548141 F51 C~344z 2016 02 03.46293 11 19 04.324 +18 27 03.12 22.0G 548141 F51 C~344z 2016 02 03.47588 11 19 04.250 +18 27 04.10 21.9G 548141 F51 C~344z 2016 02 03.48893 11 19 04.174 +18 27 05.05 22.1G 548141 F51 C~344z 2016 02 03.50228 11 19 04.096 +18 27 05.68 21.9G 548141 F51 C~344z 2016 03 07.49182 11 15 20.174 +18 59 16.81 21.9G 548141 F51 C~344z 2016 03 07.50538 11 15 20.068 +18 59 17.52 21.7G 548141 F51 C~344z 2016 03 07.51894 11 15 19.971 +18 59 18.41 21.9G 548141 F51 C~344z 2016 03 07.53247 11 15 19.867 +18 59 19.10 21.8G 548141 F51 C~344z 2016 03 08.38675 11 15 13.571 +19 00 03.05 21.5G 548141 F51 C~344z 2016 03 10.35238 11 14 59.018 +19 01 42.49 21.9G 548141 F51 C~344z 2016 03 10.36530 11 14 58.914 +19 01 43.12 21.9G 548141 F51 C~344z 2016 03 10.37823 11 14 58.826 +19 01 43.82 22.1G 548141 F51 C~344z 2016 03 10.39128 11 14 58.726 +19 01 44.45 22.2G 548141 F51 C~344z 2016 04 04.29342 11 12 04.530 +19 18 16.64 22.3G 548141 F51 C~3450 2016 04 04.30609 11 12 04.447 +19 18 17.03 22.1G 548141 F51 C~3450 2016 04 04.31881 11 12 04.355 +19 18 17.35 21.9G 548141 F51 C~3450 2016 04 04.33157 11 12 04.283 +19 18 17.82 22.1G 548141 F51 C~3450 2017 02 01.64470 11 31 40.997 +17 56 56.93 22.7G 548141 F51 C~3450 2017 02 22.40355 11 29 33.873 +18 18 21.19 22.9G 548141 F51 C~3450 2017 02 22.41623 11 29 33.786 +18 18 22.02 21.5G 548141 F51 C~3450 2017 03 28.30644 11 25 28.884 +18 47 00.58 22.0G 548141 F51 C~3450 2017 03 28.31964 11 25 28.786 +18 47 01.00 22.1G 548141 F51 C~3450 2017 03 28.33287 11 25 28.698 +18 47 01.56 22.2G 548141 F51 C~3450 2017 03 28.34626 11 25 28.598 +18 47 01.97 21.8G 548141 F51 C~3450 2017 04 25.36312 11 22 42.919 +18 57 59.93 22.2G 548141 F51 C~3450 2017 04 25.39011 11 22 42.804 +18 58 00.12 22.5G 548141 F51 C~3450 2017 04 25.40347 11 22 42.754 +18 58 00.15 22.0G 548141 F51 C~3450 2017 12 31.56388 11 45 34.298 +16 55 03.22 22.0G 548141 F51 C~3450 2018 01 14.49658 11 45 16.570 +17 06 41.69 21.8G 548141 F51 C~3450 2018 01 14.51012 11 45 16.552 +17 06 42.38 22.6G 548141 F51 C~3450 2018 01 14.52361 11 45 16.517 +17 06 43.15 22.1G 548141 F51 C~3450 2018 01 14.53712 11 45 16.485 +17 06 43.93 21.9G 548141 F51 C~3450 2018 02 10.43187 11 43 25.530 +17 33 50.72 22.1G 548141 F51 C~3450 2018 02 10.44470 11 43 25.458 +17 33 51.49 22.7G 548141 F51 C~3450 2018 03 10.35107 11 40 18.603 +18 01 55.38 22.1G 548141 F51 C~3450 2018 03 10.36289 11 40 18.514 +18 01 56.18 21.9G 548141 F51 C~3450 2018 03 10.37471 11 40 18.435 +18 01 56.63 22.0G 548141 F51 C~3450 2018 03 10.38654 11 40 18.327 +18 01 57.28 21.3G 548141 F51 C~3450 2020 04 18.43207 12 00 50.852 +17 18 10.75 22.1w 548141 F51 C~3qGH 2020 04 18.44576 12 00 50.777 +17 18 11.00 22.0w 548141 F51 C~3qGH 2020 04 18.45944 12 00 50.683 +17 18 11.60 21.6w 548141 F51 C~3qGH 2020 04 18.47316 12 00 50.590 +17 18 11.27 21.7w 548141 F51 C~3qGH 2021 03 18.547765 12 17 00.798 +16 18 09.20 22.2w 548141 F51 C~4gT1 2021 03 18.558718 12 17 00.706 +16 18 09.86 22.0w 548141 F51 C~4gT1 2021 04 09.476473 12 14 22.249 +16 34 44.24 21.9w 548141 F51 C~4moT 2021 04 09.488100 12 14 22.159 +16 34 44.54 21.9w 548141 F51 C~4moU 2021 04 09.499721 12 14 22.098 +16 34 45.06 22.0w 548141 F51 C~4moU 2021 04 09.511317 12 14 22.016 +16 34 45.51 21.8w 548141 F51 C~4moU 2022 02 27.434104 12 31 40.017 +15 15 44.73 21.8w 548141 F52 C~5V4R 2022 02 27.444948 12 31 39.944 +15 15 45.37 22.0w 548141 F52 C~5V4R 2022 02 27.455795 12 31 39.871 +15 15 45.75 21.9w 548141 F52 C~5V4R 2023 03 16.397575 12 42 15.783 +14 47 21.78 21.8w 548141 F52 C~6bq2 2023 03 16.409797 12 42 15.694 +14 47 22.46 21.7w 548141 F52 C~6bq2 2023 03 16.422013 12 42 15.597 +14 47 23.15 21.6w 548141 F52 C~6bq2 2023 03 16.434329 12 42 15.513 +14 47 23.81 21.7w 548141 F52 C~6bq2 2023 05 14.368131 12 35 45.294 +15 19 34.16 22.1w 548141 F51 C~6peg 2023 05 14.379069 12 35 45.228 +15 19 34.19 21.8w 548141 F51 C~6peg 2023 05 14.390089 12 35 45.162 +15 19 34.22 21.8w 548141 F51 C~6peg 2023 05 14.401069 12 35 45.114 +15 19 34.10 21.9w 548141 F51 C~6peg 2024 02 10.485219 12 57 38.333 +13 22 56.51 21.7w 548141 F52 C~7uQF 2024 02 10.496951 12 57 38.286 +13 22 57.17 21.9w 548141 F52 C~7uQF 2024 02 10.508622 12 57 38.260 +13 22 57.91 21.8w 548141 F52 C~7uQF 2024 02 10.520308 12 57 38.223 +13 22 58.66 21.8w 548141 F52 C~7uQF 2024 04 09.315346 12 51 42.131 +14 20 28.80 21.6w 548141 F52 C~7za8 2024 04 09.326492 12 51 42.053 +14 20 29.32 21.8w 548141 F52 C~7za8 2024 04 09.337655 12 51 41.967 +14 20 29.54 21.9w 548141 F52 C~7za8 2024 04 09.348786 12 51 41.899 +14 20 30.29 21.8w 548141 F52 C~7za8 2024 04 27.262895 12 49 37.374 +14 30 02.55 21.8w 548141 F51 C~80x8 2024 04 27.275402 12 49 37.288 +14 30 02.88 21.8w 548141 F51 C~80x8 2024 04 27.300426 12 49 37.137 +14 30 03.70 21.8w 548141 F51 C~80x8
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 0.00
2 0.0000 0.00 -0.10 0.00 0.10
3 0.0133 0.00 0.20 0.00 -0.24
4 0.3168 0.00 -0.01 0.00 -0.15
5 0.3169 0.00 -0.13 0.00 0.38
6 0.3196 0.00 0.17 0.00 -0.29
7 0.3306 0.00 -0.20 0.00 -0.27
8 0.3306 0.00 0.05 0.00 0.05
9 0.9962 0.00 -0.19 0.00 -0.04
10 0.9963 0.00 -0.01 0.00 0.12
11 0.9990 0.00 -0.06 0.00 0.07
12 0.9990 0.00 0.32 0.00 0.09
13 1.9960 0.00 0.04 0.00 0.15
14 1.9961 0.00 0.05 0.00 0.11
15 1.9986 0.00 -0.25 0.00 -0.20
16 1.9986 0.00 0.11 0.00 0.10
17 2.0259 0.00 0.21 0.00 -0.10
18 2.0260 0.00 -0.24 0.00 0.08
19 2.0282 0.00 -0.01 0.00 0.05
20 2.0282 0.00 -0.06 0.00 0.14
21 2.0283 0.00 -0.02 0.00 0.10
22 2.0283 0.00 -0.15 0.00 0.07
23 2.8994 0.00 0.13 0.00 0.08
24 3.0248 0.00 -0.17 0.00 -0.06
25 3.0249 0.00 0.01 0.00 0.06
26 3.0249 0.00 -0.23 0.00 0.10
27 3.0249 0.00 -0.01 0.00 0.03
28 3.1181 0.00 0.12 0.00 -0.03
29 3.1181 0.00 -0.01 0.00 -0.18
30 3.9728 0.00 0.16 0.00 0.40
31 4.1340 0.00 0.18 0.00 -0.26
32 4.2758 0.00 0.02 0.00 -0.01
33 4.2949 0.00 -0.09 0.00 -0.02
34 4.2949 0.00 0.02 0.00 0.02
35 4.2950 0.00 -0.01 0.00 0.06
36 4.2950 0.00 -0.03 0.00 -0.04
37 5.0431 0.00 -0.08 0.00 -0.01
38 5.0432 0.00 -0.10 0.00 -0.27
39 5.0432 0.00 -0.16 0.00 0.05
40 5.0433 0.00 -0.00 0.00 -0.07
41 5.0508 0.00 0.06 0.00 0.07
42 5.0508 0.00 0.02 0.00 0.06
43 5.0509 0.00 0.05 0.00 0.00
44 5.0509 0.00 0.00 0.00 0.13
45 5.1410 0.00 -0.21 0.00 0.16
46 5.1410 0.00 -0.11 0.00 0.05
47 5.1410 0.00 0.02 0.00 -0.20
48 5.1411 0.00 0.13 0.00 0.09
49 5.1686 0.00 -0.03 0.00 -0.17
50 5.1687 0.00 0.19 0.00 -0.15
51 5.1687 0.00 0.25 0.00 0.07
52 5.1687 0.00 0.50 0.00 0.31
53 5.1737 0.00 -0.01 0.00 -0.05
54 5.9109 0.00 0.38 0.00 -0.08
55 5.9956 0.00 -0.03 0.00 -0.29
56 5.9957 0.00 -0.02 0.00 -0.11
57 5.9957 0.00 -0.03 0.00 0.04
58 5.9957 0.00 -0.04 0.00 -0.16
59 6.0861 0.00 0.03 0.00 -0.09
60 6.0861 0.00 -0.02 0.00 -0.08
61 6.0861 0.00 0.05 0.00 0.11
62 6.0862 0.00 0.02 0.00 0.10
63 6.0885 0.00 0.11 0.00 0.01
64 6.0939 0.00 -0.08 0.00 -0.06
65 6.0939 0.00 -0.18 0.00 -0.08
66 6.0940 0.00 -0.04 0.00 -0.02
67 6.0940 0.00 -0.07 0.00 -0.05
68 6.1622 0.00 -0.03 0.00 -0.09
69 6.1622 0.00 -0.05 0.00 -0.06
70 6.1623 0.00 -0.20 0.00 -0.11
71 6.1623 0.00 -0.05 0.00 -0.00
72 6.9927 0.00 0.15 0.00 0.22
73 7.0496 0.00 0.19 0.00 0.09
74 7.0496 0.00 0.22 0.00 0.15
75 7.1424 0.00 -0.03 0.00 0.03
76 7.1424 0.00 -0.10 0.00 -0.05
77 7.1424 0.00 -0.01 0.00 0.01
78 7.1425 0.00 -0.08 0.00 -0.09
79 7.2192 0.00 -0.22 0.00 0.06
80 7.2193 0.00 -0.05 0.00 0.04
81 7.2193 0.00 0.14 0.00 -0.04
82 7.9042 0.00 0.09 0.00 0.18
83 7.9423 0.00 -0.34 0.00 0.01
84 7.9424 0.00 -0.12 0.00 -0.05
85 7.9424 0.00 -0.15 0.00 -0.02
86 7.9425 0.00 -0.13 0.00 0.01
87 8.0161 0.00 0.03 0.00 0.09
88 8.0161 0.00 0.07 0.00 0.04
89 8.0925 0.00 -0.05 0.00 -0.10
90 8.0926 0.00 -0.06 0.00 0.05
91 8.0926 0.00 0.07 0.00 -0.15
92 8.0926 0.00 -0.23 0.00 -0.15
93 10.2009 0.00 -0.03 0.00 0.07
94 10.2009 0.00 0.14 0.00 0.02
95 10.2010 0.00 0.03 0.00 0.31
96 10.2010 0.00 -0.07 0.00 -0.33
97 11.1157 0.00 0.01 0.00 0.02
98 11.1157 0.00 -0.16 0.00 0.09
99 11.1757 0.00 -0.03 0.00 -0.05
100 11.1757 0.00 -0.14 0.00 -0.15
101 11.1758 0.00 0.18 0.00 -0.03
102 11.1758 0.00 0.18 0.00 0.01
103 12.0626 0.00 -0.02 0.00 0.29
104 12.0627 0.00 -0.11 0.00 0.23
105 12.0627 0.00 -0.20 0.00 -0.09
106 13.1084 0.00 0.26 0.00 0.03
107 13.1084 0.00 0.22 0.00 -0.02
108 13.1085 0.00 0.06 0.00 -0.05
109 13.1085 0.00 0.10 0.00 -0.12
110 13.2699 0.00 0.25 0.00 0.06
111 13.2699 0.00 0.05 0.00 0.09
112 13.2699 0.00 -0.13 0.00 0.13
113 13.2699 0.00 -0.06 0.00 0.01
114 14.0149 0.00 -0.03 0.00 -0.04
115 14.0149 0.00 -0.13 0.00 -0.12
116 14.0149 0.00 0.08 0.00 -0.12
117 14.0150 0.00 0.13 0.00 -0.11
118 14.1759 0.00 -0.02 0.00 0.07
119 14.1760 0.00 0.05 0.00 0.12
120 14.1760 0.00 -0.00 0.00 -0.12
121 14.1760 0.00 0.21 0.00 0.17
122 14.2251 0.00 -0.17 0.00 -0.19
123 14.2251 0.00 -0.22 0.00 -0.14
124 14.2252 0.00 -0.00 0.00 0.12
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.
548141 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 27.463 27.463 27.463 ecceobj 0.088 0.088 0.088 incobj 19.559 19.559 19.559 qmin 22.374 22.341 24.491 qmax 32.099 32.213 31.243 amean 27.611 27.342 27.810 amin 26.418 26.597 27.122 amax 28.585 28.460 28.731 emean 0.107 0.095 0.076 emin 0.028 0.026 0.015 emax 0.158 0.176 0.117 imean 16.885 17.653 17.615 imin 15.610 15.876 16.761 imax 18.061 18.955 18.423 excite_mean 0.312 0.320 0.313 fracstop 0.039 0.118 0.198 cjmean 2.908 2.909 2.908 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 207.4 214.0 109.6 kozaiamp 126.6 177.7 177.4