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: 17FT232 # Created Tue Sep 30 01:11:39 2025 # Orbit generated from Bernstein formalism # Fitting 112 observations of 113 # Arc: 3.17y # First observation: 2014/11/18 # Last observation: 2018/01/17 Preliminary a, adot, b, bdot, g, gdot: 0.000051 0.028748 0.000028 -0.005314 0.026830 0.000000 # Chi-squared of fit: 57.84 DOF: 218 RMS: 0.13 # Min/Max residuals: -0.42 0.29 # Exact a, adot, b, bdot, g, gdot: 1.656651E-05 2.791703E-02 -3.102548E-06 -5.152873E-03 2.602206E-02 -8.084069E-04 # Covariance matrix: 1.0524E-13 1.1515E-13 3.8154E-14 -2.9126E-14 2.0430E-13 1.7556E-12 1.1515E-13 3.3507E-13 8.1448E-14 -7.7909E-14 4.1308E-13 4.6057E-12 3.8154E-14 8.1448E-14 4.8784E-14 -3.4421E-14 1.1239E-13 1.1501E-12 -2.9126E-14 -7.7909E-14 -3.4421E-14 3.4845E-14 -9.6969E-14 -1.1358E-12 2.0430E-13 4.1308E-13 1.1239E-13 -9.6969E-14 5.8546E-13 5.7807E-12 1.7556E-12 4.6057E-12 1.1501E-12 -1.1358E-12 5.7807E-12 6.6982E-11 # lat0 lon0 xBary yBary zBary JD0 -9.260125 151.301582 0.984503 0.015593 0.094624 2456980.041948 # Heliocentric elements and errors Epoch: 2456980.5000 = 2014/11/19 Mean Anomaly: 345.07263 +/- 0.070 Argument of Peri: 242.62091 +/- 0.102 Long of Asc Node: 289.28373 +/- 0.001 Inclination: 14.11373 +/- 0.000 Eccentricity: 0.17019153 +/- 0.0002 Semi-Major Axis: 45.75929280 +/- 0.0055 Time of Perihelion: 2461668.6135 +/- 22.0 Perihelion: 37.97144894 +/- 0.0084 Aphelion: 53.54713666 +/- 0.0095 Period (y) 309.5474 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -32.71508426 +/- 0.0010 Ecliptic Y 19.03108258 +/- 0.0005 Ecliptic Z -6.18401587 +/- 0.0002 Ecliptic XDOT -0.00126456 +/- 0.0000 Ecliptic YDOT -0.00266359 +/- 0.0000 Ecliptic ZDOT -0.00052129 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.34971831 +/- 0.0009 Geocenter to KBO 38.42893157 +/- 0.0011 # Hcoef: 8.42
The following table shows the complete astrometric record for 17FT232. 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 (17FT232) followed by the observatory code and reference code for the source of the astrometry.
2014 11 18.541170 10 00 11.76 +02 20 35.4 17FT232 T09 C~81C5 2014 11 18.585210 10 00 11.80 +02 20 34.3 17FT232 T09 C~81C5 2015 01 16.58435 09 58 26.61 +02 13 10.3 24.0z 17FT232 T09 C~8eWW 2015 01 16.59163 09 58 26.59 +02 13 10.5 23.7z 17FT232 T09 C~8eWW 2015 01 16.60268 09 58 26.54 +02 13 10.7 23.7z 17FT232 T09 C~8eWW 2015 01 16.61055 09 58 26.51 +02 13 10.7 23.9z 17FT232 T09 C~8eWW 2015 01 16.61862 09 58 26.47 +02 13 10.7 23.6z 17FT232 T09 C~8eWW 2015 01 16.62595 09 58 26.43 +02 13 10.7 23.6z 17FT232 T09 C~8eWW 2015 01 16.63677 09 58 26.40 +02 13 11.0 23.9z 17FT232 T09 C~8eWW 2015 01 16.64412 09 58 26.36 +02 13 11.0 23.7z 17FT232 T09 C~8eWW 2015 01 16.65856 09 58 26.30 +02 13 11.0 23.9z 17FT232 T09 C~8eWW 2015 01 18.49174 09 58 18.55 +02 13 31.0 23.4y 17FT232 T09 C~8r8G 2015 01 18.49633 09 58 18.53 +02 13 31.0 23.4y 17FT232 T09 C~8r8G 2015 01 18.50092 09 58 18.51 +02 13 31.0 23.4y 17FT232 T09 C~8r8G 2015 01 19.36917 09 58 14.78 +02 13 41.2 24.2z 17FT232 T09 C~8eWW 2015 01 19.37375 09 58 14.74 +02 13 41.2 24.0z 17FT232 T09 C~8eWW 2015 01 19.37836 09 58 14.74 +02 13 41.2 24.0z 17FT232 T09 C~8eWW 2015 01 19.39214 09 58 14.66 +02 13 41.5 23.8z 17FT232 T09 C~8eWW 2015 01 19.39673 09 58 14.64 +02 13 41.3 24.0z 17FT232 T09 C~8eWW 2015 01 19.40130 09 58 14.63 +02 13 41.7 24.2z 17FT232 T09 C~8eWW 2015 01 19.40585 09 58 14.61 +02 13 41.7 24.1z 17FT232 T09 C~8eWW 2015 01 19.41043 09 58 14.59 +02 13 41.7 23.3z 17FT232 T09 C~8eWW 2015 01 20.38015 09 58 10.37 +02 13 53.2 25.3g 17FT232 T09 C~8eWW 2015 01 20.39453 09 58 10.30 +02 13 53.4 24.9g 17FT232 T09 C~8eWW 2015 01 20.39935 09 58 10.27 +02 13 53.6 24.8g 17FT232 T09 C~8eWW 2015 01 20.40416 09 58 10.25 +02 13 53.7 24.7g 17FT232 T09 C~8eWW 2015 01 20.40897 09 58 10.23 +02 13 53.7 24.8g 17FT232 T09 C~8eWW 2015 01 20.41375 09 58 10.21 +02 13 53.9 24.8g 17FT232 T09 C~8eWW 2015 01 21.55881 09 58 05.15 +02 14 08.2 23.9i 17FT232 T09 C~8eWW 2015 01 21.56266 09 58 05.11 +02 14 08.3 23.9i 17FT232 T09 C~8eWW 2015 01 21.56653 09 58 05.11 +02 14 08.3 24.1i 17FT232 T09 C~8eWW 2015 01 21.57534 09 58 05.07 +02 14 08.5 23.8i 17FT232 T09 C~8eWW 2015 01 21.58764 09 58 05.01 +02 14 08.5 24.0i 17FT232 T09 C~8eWW 2015 01 21.59154 09 58 04.99 +02 14 08.7 24.1i 17FT232 T09 C~8eWW 2015 01 21.59540 09 58 04.98 +02 14 08.7 24.0i 17FT232 T09 C~8eWW 2015 01 21.60268 09 58 04.94 +02 14 08.8 24.0i 17FT232 T09 C~8eWW 2015 01 21.61354 09 58 04.90 +02 14 08.8 23.7i 17FT232 T09 C~8eWW 2015 01 21.61742 09 58 04.87 +02 14 09.0 23.9i 17FT232 T09 C~8eWW 2015 01 21.62126 09 58 04.86 +02 14 09.2 24.2i 17FT232 T09 C~8eWW 2015 01 21.62851 09 58 04.82 +02 14 08.8 24.2i 17FT232 T09 C~8eWW 2015 01 21.63940 09 58 04.77 +02 14 09.3 24.0i 17FT232 T09 C~8eWW 2015 01 21.64327 09 58 04.77 +02 14 09.3 24.2i 17FT232 T09 C~8eWW 2015 01 21.64723 09 58 04.72 +02 14 09.3 24.0i 17FT232 T09 C~8eWW 2015 01 21.65451 09 58 04.70 +02 14 09.7 23.9i 17FT232 T09 C~8eWW 2015 01 27.55100 09 57 37.67 +02 15 34.8 24.3y 17FT232 T09 C~94uP 2015 01 27.55498 09 57 37.66 +02 15 35.3 23.6y 17FT232 T09 C~94uP 2015 01 27.55889 09 57 37.63 +02 15 35.0 23.6y 17FT232 T09 C~94uP 2015 01 27.58016 09 57 37.55 +02 15 35.5 23.2y 17FT232 T09 C~94uP 2015 01 27.59951 09 57 37.45 +02 15 35.6 23.9y 17FT232 T09 C~94uP 2015 01 27.62220 09 57 37.33 +02 15 36.1 24.2y 17FT232 T09 C~94uP 2015 01 27.62950 09 57 37.31 +02 15 36.3 23.2y 17FT232 T09 C~94uP 2015 01 27.64034 09 57 37.26 +02 15 36.0 23.2y 17FT232 T09 C~94uP 2015 01 27.64422 09 57 37.24 +02 15 36.3 23.5y 17FT232 T09 C~94uP 2015 01 27.64814 09 57 37.22 +02 15 36.3 23.7y 17FT232 T09 C~94uP 2015 01 27.65203 09 57 37.20 +02 15 36.5 23.6y 17FT232 T09 C~94uP 2016 03 04.43361 10 00 21.24 +01 37 47.2 24.0i 17FT232 T09 C~89Uf 2016 03 04.44465 10 00 21.16 +01 37 47.7 23.9i 17FT232 T09 C~89Uf 2016 03 04.46608 10 00 21.05 +01 37 48.2 23.3i 17FT232 T09 C~89Uf 2016 03 07.29376 10 00 07.50 +01 39 06.5 25.1g 17FT232 T09 C~8COw 2016 03 07.30381 10 00 07.46 +01 39 06.6 25.4g 17FT232 T09 C~8COw 2016 03 07.30953 10 00 07.43 +01 39 06.6 25.6g 17FT232 T09 C~8COw 2016 03 07.31343 10 00 07.41 +01 39 07.0 25.7g 17FT232 T09 C~8COw 2016 03 07.31730 10 00 07.39 +01 39 07.0 25.7g 17FT232 T09 C~8COw 2016 03 07.32114 10 00 07.38 +01 39 07.0 25.5g 17FT232 T09 C~8COw 2016 03 07.32499 10 00 07.36 +01 39 07.1 25.1g 17FT232 T09 C~8COw 2016 03 07.32886 10 00 07.32 +01 39 07.3 25.8g 17FT232 T09 C~8COw 2016 03 09.30474 09 59 58.01 +01 40 02.4 26.0r 17FT232 T09 C~89Uf 2016 03 09.32455 09 59 57.92 +01 40 02.7 25.9r 17FT232 T09 C~89Uf 2016 03 09.33236 09 59 57.89 +01 40 03.2 25.9r 17FT232 T09 C~89Uf 2016 03 09.33622 09 59 57.88 +01 40 03.4 26.0r 17FT232 T09 C~89Uf 2016 03 09.34016 09 59 57.84 +01 40 03.2 25.4r 17FT232 T09 C~89Uf 2016 03 12.39839 09 59 43.75 +01 41 29.4 23.9z 17FT232 T09 C~8COw 2016 03 12.41304 09 59 43.67 +01 41 29.7 23.8z 17FT232 T09 C~8COw 2016 03 12.42790 09 59 43.60 +01 41 30.1 23.4z 17FT232 T09 C~8COw 2016 03 12.43532 09 59 43.56 +01 41 30.2 23.6z 17FT232 T09 C~8COw 2016 03 12.43918 09 59 43.53 +01 41 30.2 23.5z 17FT232 T09 C~8COw 2016 03 12.44690 09 59 43.51 +01 41 30.7 23.7z 17FT232 T09 C~8COw 2016 03 12.45077 09 59 43.51 +01 41 30.7 23.6z 17FT232 T09 C~8COw 2016 03 12.45461 09 59 43.48 +01 41 30.9 24.0z 17FT232 T09 C~8COw 2016 03 12.45847 09 59 43.47 +01 41 30.9 23.6z 17FT232 T09 C~8COw 2016 03 12.46234 09 59 43.44 +01 41 31.1 23.7z 17FT232 T09 C~8COw 2016 03 12.46618 09 59 43.43 +01 41 30.9 23.6z 17FT232 T09 C~8COw 2016 03 12.47004 09 59 43.42 +01 41 31.2 24.3z 17FT232 T09 C~8COw 2016 03 12.47390 09 59 43.39 +01 41 31.4 23.5z 17FT232 T09 C~8COw 2016 03 15.45540 09 59 30.05 +01 42 55.5 23.5y 17FT232 T09 C~8COw 2016 03 15.46963 09 59 29.98 +01 42 55.4 23.5y 17FT232 T09 C~8COx 2016 03 15.48397 09 59 29.92 +01 42 56.5 23.5y 17FT232 T09 C~8COx 2016 03 15.49503 09 59 29.89 +01 42 56.7 23.5y 17FT232 T09 C~8COx 2016 03 15.50659 09 59 29.83 +01 42 57.4 23.8y 17FT232 T09 C~8COx 2016 03 15.51045 09 59 29.80 +01 42 56.9 23.6y 17FT232 T09 C~8COx 2016 03 15.51431 09 59 29.76 +01 42 57.0 23.6y 17FT232 T09 C~8COx 2016 03 15.52770 09 59 29.72 +01 42 57.2 23.8y 17FT232 T09 C~8COx 2017 01 28.51763 10 09 01.63 +00 32 34.9 23.8z 17FT232 T09 C~7xUH 2017 01 28.52565 10 09 01.60 +00 32 35.0 23.7z 17FT232 T09 C~7xUH 2017 01 28.53098 10 09 01.56 +00 32 35.2 23.8z 17FT232 T09 C~7xUH 2017 01 28.54169 10 09 01.52 +00 32 35.4 23.4z 17FT232 T09 C~7xUH 2017 01 28.55510 10 09 01.45 +00 32 35.5 23.8z 17FT232 T09 C~7xUH 2017 01 28.57125 10 09 01.37 +00 32 35.7 24.1z 17FT232 T09 C~7xUH 2017 01 28.58466 10 09 01.32 +00 32 35.9 23.8z 17FT232 T09 C~7xUH 2017 02 02.38415 10 08 38.64 +00 33 56.5 24.8r 17FT232 T09 C~7xUH 2017 02 02.50623 10 08 38.05 +00 33 58.8 24.3r 17FT232 T09 C~7xUH 2017 02 02.51130 10 08 38.02 +00 33 59.0 24.3r 17FT232 T09 C~7xUH 2017 02 02.52702 10 08 37.95 +00 33 59.2 24.2r 17FT232 T09 C~7xUH 2017 02 02.53379 10 08 37.91 +00 33 59.3 24.2r 17FT232 T09 C~7xUH 2017 03 22.39453 10 04 47.00 +00 54 20.9 23.7z 17FT232 T09 C~7xUH 2017 03 22.44588 10 04 46.78 +00 54 22.4 23.9z 17FT232 T09 C~7xUH 2017 03 22.47157 10 04 46.67 +00 54 22.9 23.6z 17FT232 T09 C~7xUH 2017 03 22.49332 10 04 46.58 +00 54 23.4 24.1z 17FT232 T09 C~7xUH 2018 01 17.45784 10 15 36.12 -00 21 33.5 24.5i 17FT232 T09 C~81C5 2018 01 17.47798 10 15 36.03 -00 21 33.5 24.8i 17FT232 T09 C~81C5 2018 01 17.48868 10 15 35.99 -00 21 33.5 24.9i 17FT232 T09 C~81C5 2018 01 17.54265 10 15 35.77 -00 21 33.0 24.9i 17FT232 T09 C~81C5 2018 01 17.56953 10 15 35.66 -00 21 32.7 25.2i 17FT232 T09 C~81C5
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 0.08 0.00 -0.01
2 0.0001 0.95 0.03 -0.82 -0.03
3 0.1617 -1321.53 0.03 -967.25 -0.10
4 0.1617 -1321.88 0.14 -967.16 0.08
5 0.1617 -1322.65 0.07 -967.24 0.14
6 0.1617 -1323.07 0.15 -967.39 0.09
7 0.1617 -1323.64 0.10 -967.60 -0.02
8 0.1618 -1324.20 0.00 -967.81 -0.14
9 0.1618 -1324.72 0.16 -967.69 0.12
10 0.1618 -1325.28 0.06 -967.90 0.01
11 0.1619 -1326.13 0.13 -968.21 -0.12
12 0.1669 -1441.98 0.09 -990.00 0.06
13 0.1669 -1442.26 0.11 -990.10 0.01
14 0.1669 -1442.54 0.13 -990.21 -0.04
15 0.1693 -1498.49 0.11 -1000.16 0.14
16 0.1693 -1499.06 -0.15 -1000.37 -0.01
17 0.1693 -1499.06 0.15 -1000.37 0.04
18 0.1693 -1500.28 -0.17 -1000.50 0.07
19 0.1694 -1500.50 -0.08 -1000.80 -0.17
20 0.1694 -1500.78 -0.05 -1000.47 0.21
21 0.1694 -1501.06 -0.04 -1000.58 0.16
22 0.1694 -1501.34 -0.01 -1000.68 0.11
23 0.1720 -1564.63 0.17 -1011.97 -0.04
24 0.1721 -1565.69 0.08 -1012.15 -0.05
25 0.1721 -1566.18 -0.09 -1012.12 0.04
26 0.1721 -1566.49 -0.09 -1012.13 0.08
27 0.1721 -1566.77 -0.05 -1012.24 0.03
28 0.1721 -1567.12 -0.08 -1012.16 0.17
29 0.1753 -1643.20 0.15 -1025.21 0.06
30 0.1753 -1643.79 -0.18 -1025.33 -0.01
31 0.1753 -1643.79 0.08 -1025.33 0.03
32 0.1753 -1644.42 0.05 -1025.35 0.11
33 0.1753 -1645.27 0.04 -1025.67 -0.06
34 0.1754 -1645.62 -0.04 -1025.58 0.07
35 0.1754 -1645.76 0.08 -1025.64 0.06
36 0.1754 -1646.36 -0.02 -1025.75 0.03
37 0.1754 -1646.92 0.16 -1025.96 -0.06
38 0.1754 -1647.41 -0.07 -1025.93 0.02
39 0.1754 -1647.62 -0.02 -1025.79 0.20
40 0.1755 -1648.04 0.05 -1026.38 -0.30
41 0.1755 -1648.92 -0.08 -1026.17 0.03
42 0.1755 -1648.92 0.18 -1026.17 0.07
43 0.1755 -1649.62 -0.25 -1026.43 -0.14
44 0.1755 -1650.04 -0.18 -1026.16 0.21
45 0.1917 -2059.46 -0.17 -1087.74 -0.22
46 0.1917 -2059.77 -0.20 -1087.33 0.23
47 0.1917 -2060.09 -0.23 -1087.76 -0.17
48 0.1918 -2061.39 0.02 -1087.71 0.10
49 0.1918 -2062.83 -0.01 -1088.14 -0.14
50 0.1919 -2064.69 -0.22 -1088.30 -0.07
51 0.1919 -2065.04 -0.04 -1088.22 0.09
52 0.1919 -2065.64 0.14 -1088.76 -0.35
53 0.1919 -2066.02 0.04 -1088.58 -0.13
54 0.1919 -2066.30 0.04 -1088.69 -0.20
55 0.1920 -2066.65 -0.03 -1088.61 -0.07
56 1.2920 1030.08 0.29 -2357.00 0.13
57 1.2920 1028.78 -0.13 -2356.95 0.19
58 1.2921 1027.06 -0.16 -2357.06 0.08
59 1.2998 809.32 -0.16 -2354.63 0.18
60 1.2998 808.73 0.02 -2354.75 0.06
61 1.2998 808.31 0.04 -2354.91 -0.10
62 1.2999 807.88 -0.08 -2354.64 0.16
63 1.2999 807.60 -0.06 -2354.74 0.06
64 1.2999 807.46 0.10 -2354.79 0.00
65 1.2999 807.15 0.08 -2354.80 -0.01
66 1.2999 806.52 -0.25 -2354.83 -0.04
67 1.3053 656.46 -0.19 -2351.93 -0.06
68 1.3054 655.09 -0.04 -2352.12 -0.27
69 1.3054 654.49 -0.04 -2351.81 0.03
70 1.3054 654.28 0.05 -2351.68 0.16
71 1.3054 653.79 -0.14 -2352.07 -0.24
72 1.3138 425.71 0.09 -2345.06 0.19
73 1.3138 424.48 -0.04 -2345.20 0.02
74 1.3139 423.36 -0.05 -2345.19 -0.01
75 1.3139 422.76 -0.09 -2345.30 -0.14
76 1.3139 422.34 -0.22 -2345.46 -0.30
77 1.3139 421.89 -0.10 -2345.10 0.05
78 1.3139 421.89 0.19 -2345.10 0.04
79 1.3139 421.40 -0.01 -2345.07 0.06
80 1.3139 421.26 0.13 -2345.12 -0.00
81 1.3140 420.76 -0.07 -2345.09 0.02
82 1.3140 420.69 0.15 -2345.33 -0.23
83 1.3140 420.45 0.19 -2345.10 -0.01
84 1.3140 419.96 -0.01 -2345.07 0.02
85 1.3221 203.16 0.02 -2336.08 0.08
86 1.3222 202.21 0.10 -2336.55 -0.42
87 1.3222 200.98 -0.08 -2335.83 0.25
88 1.3223 200.49 0.23 -2335.80 0.25
89 1.3223 199.40 ( -0.02) -2335.46 ( 0.55)
90 1.3223 199.15 0.01 -2336.08 -0.08
91 1.3223 198.56 -0.30 -2336.20 -0.21
92 1.3223 197.92 0.03 -2336.22 -0.27
93 2.1957 9717.99 -0.04 -3295.04 -0.00
94 2.1957 9717.53 0.08 -3295.10 0.02
95 2.1957 9716.89 -0.17 -3295.12 0.05
96 2.1958 9716.26 -0.03 -3295.15 0.13
97 2.1958 9715.24 -0.09 -3295.42 -0.00
98 2.1958 9714.04 -0.12 -3295.65 -0.07
99 2.1959 9713.27 0.07 -3295.73 -0.01
100 2.2090 9365.63 -0.06 -3339.26 -0.15
101 2.2093 9356.51 0.02 -3340.20 -0.02
102 2.2094 9356.02 -0.09 -3340.17 0.06
103 2.2094 9354.96 0.04 -3340.35 0.02
104 2.2094 9354.36 -0.05 -3340.46 -0.04
105 2.3405 5677.06 0.17 -3406.95 0.15
106 2.3406 5673.44 0.10 -3406.70 0.15
107 2.3407 5671.71 0.15 -3406.81 -0.08
108 2.3407 5670.27 0.21 -3406.81 -0.19
109 3.1647 16427.30 0.03 -4271.45 0.21
110 3.1648 16426.03 -0.03 -4271.92 0.00
111 3.1648 16425.46 0.05 -4272.13 -0.06
112 3.1650 16422.17 0.02 -4272.82 -0.03
113 3.1650 16420.51 -0.02 -4273.12 0.04
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.
17FT232 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.429 45.441 45.418 ecceobj 0.163 0.163 0.163 incobj 14.123 14.124 14.123 qmin 37.055 37.361 37.262 qmax 54.339 54.113 54.159 amean 45.492 45.492 45.493 amin 45.111 45.104 45.086 amax 45.941 45.947 45.962 emean 0.169 0.164 0.164 emin 0.154 0.152 0.149 emax 0.184 0.178 0.180 imean 15.566 15.753 15.723 imin 14.952 15.258 15.129 imax 15.917 16.162 16.312 excite_mean 0.317 0.317 0.317 fracstop 1.000 1.000 1.000 cjmean 2.996 2.996 2.996 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 180.1 186.2 180.5 kozaiamp 180.0 180.0 180.0