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: 91554 # Created Sun Dec 22 02:06:51 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 121 observations of 123 # Arc: 25.15y # First observation: 1999/09/08 # Last observation: 2024/11/01 # Chi-squared of fit: 178.77 DOF: 236 RMS: 0.21 # Min/Max residuals: -0.60 0.63 # Exact a, adot, b, bdot, g, gdot: 2.172593E-05 4.479116E-02 1.071901E-05 1.970506E-02 3.326148E-02 1.812568E-04 # 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 -9.527289 -39.070484 -0.408320 -0.151451 -0.900945 2451429.813113 # Heliocentric elements and errors Epoch: 2451430.5000 = 1999/09/09 Mean Anomaly: 0.27798 +/- 0.000 Argument of Peri: 335.85093 +/- 0.000 Long of Asc Node: 341.69190 +/- 0.000 Inclination: 25.46628 +/- 0.000 Eccentricity: 0.70083145 +/- 0.0000 Semi-Major Axis: 103.50073998 +/- 0.0000 Time of Perihelion: 2451133.5165 +/- 0.0 Perihelion: 30.96416584 +/- 0.0000 Aphelion: 176.03731412 +/- 0.0000 Period (y) 1052.9879 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 23.99427534 +/- 0.0000 Ecliptic Y -18.94419796 +/- 0.0000 Ecliptic Z -4.97590484 +/- 0.0000 Ecliptic XDOT 0.00253952 +/- 0.0000 Ecliptic YDOT 0.00269223 +/- 0.0000 Ecliptic ZDOT 0.00159720 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.97364732 +/- 0.0000 Geocenter to KBO 30.06483690 +/- 0.0000 # Hcoef: 7.49
The following table shows the complete astrometric record for 91554. 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 (91554) followed by the observatory code and reference code for the source of the astrometry.
1999 09 08.31237 21 46 29.13 -23 31 21.3 22.5R 91554 568 Ca9937 1999 09 08.36468 21 46 28.81 -23 31 21.9 22.4R 91554 568 Ca9937 1999 09 08.42001 21 46 28.47 -23 31 21.8 22.4R 91554 568 Ca9937 1999 09 10.32683 21 46 17.18 -23 31 37.6 22.4R 91554 568 Ca9937 1999 09 10.34707 21 46 17.04 -23 31 37.8 22.4R 91554 568 Ca9937 1999 10 08.23745 21 44 02.43 -23 31 00.7 22.4R 91554 568 Ca9937 1999 10 08.24916 21 44 02.40 -23 31 00.5 22.7R 91554 568 Ca9937 1999 11 10.24441 21 43 13.50 -23 18 29.1 22.7R 91554 568 Ca9937 1999 11 11.29588 21 43 14.31 -23 17 53.0 22.2R 91554 568 Ca9937 1999 11 13.29373 21 43 16.25 -23 16 42.0 22.6R 91554 568 Ca9937 2000 05 30.57977 22 02 47.32 -21 03 43.8 22.6R 91554 568 Cb6506 2000 05 31.59053 22 02 47.25 -21 03 49.8 22.7R 91554 568 Cb6506 2000 06 01.57429 22 02 47.04 -21 03 56.4 22.6R 91554 568 Cb6506 2001 07 23.39894 22 08 27.086 -19 20 46.82 91554 568 Cl5551 2001 07 23.46769 22 08 26.708 -19 20 48.60 91554 568 Cl5551 2002 11 05.26734 22 08 11.66 -17 38 35.3 22.5R 91554 568 Cl9133 2002 11 06.28959 22 08 10.86 -17 38 15.3 91554 568 Cl9133 2004 08 23.14103 22 29 18.66 -13 34 35.4 21.9R 91554 304 Cl4067 2004 08 23.27769 22 29 17.81 -13 34 38.6 91554 304 Cl4067 2006 06 11.34509 22 48 29.65 -09 23 35.7 21.9R 91554 250 S~06GZ 2006 06 11.40707 22 48 29.65 -09 23 35.1 91554 250 S~06GZ 2006 06 11.41146 22 48 29.65 -09 23 35.1 91554 250 S~06GZ 2006 06 11.41586 22 48 29.65 -09 23 35.0 91554 250 S~06GZ 2006 06 21.32949 22 48 24.83 -09 22 44.8 22.5R 91554 304 C~2iGM 2006 06 21.37248 22 48 24.81 -09 22 45.2 91554 304 C~2iGM 2009 09 26.332411 23 02 03.64 -04 03 43.9 22.4V 91554 645 C~1hIP 2009 09 26.333241 23 02 03.63 -04 03 43.9 22.7V 91554 645 C~1hIP 2009 09 26.335729 23 02 03.62 -04 03 44.0 23.4V 91554 645 C~1hIP 2010 09 15.44491 23 09 48.798 -02 06 57.08 22.7G 91554 F51 C~3rVP 2010 09 15.45487 23 09 48.721 -02 06 57.60 23.1G 91554 F51 C~3rVP 2010 09 15.46479 23 09 48.678 -02 06 57.52 22.7G 91554 F51 C~3rVP 2010 09 15.47494 23 09 48.624 -02 06 58.14 22.9G 91554 F51 C~3rVP 2010 09 16.48425 23 09 42.907 -02 07 23.20 22.2G 91554 F51 C~3rVP 2010 09 16.49565 23 09 42.827 -02 07 23.57 23.6G 91554 F51 C~3rVP 2010 09 16.50711 23 09 42.799 -02 07 23.59 22.5G 91554 F51 C~3rVP 2010 09 16.51866 23 09 42.706 -02 07 24.37 22.6G 91554 F51 C~3rVP 2011 06 08.59352 23 21 35.634 -00 09 39.62 23.5G 91554 F51 C~3rVP 2011 06 08.59748 23 21 35.629 -00 09 39.40 22.1G 91554 F51 C~3rVP 2011 06 08.60144 23 21 35.654 -00 09 39.10 22.9G 91554 F51 C~3rVP 2011 09 02.42568 23 17 37.914 -00 11 19.10 22.1G 91554 F51 C~3rVP 2011 09 02.43997 23 17 37.846 -00 11 19.36 22.3G 91554 F51 C~3rVP 2011 09 02.45429 23 17 37.767 -00 11 19.72 22.3G 91554 F51 C~3rVP 2013 08 15.50397 23 31 48.457 +03 27 11.04 22.3G 91554 F51 C~3rVP 2013 08 15.51953 23 31 48.408 +03 27 10.88 22.4G 91554 F51 C~3rVP 2013 08 15.53511 23 31 48.318 +03 27 10.81 22.3G 91554 F51 C~3rVP 2013 08 15.55065 23 31 48.248 +03 27 10.52 22.9G 91554 F51 C~3rVP 2013 09 03.42814 23 30 11.906 +03 21 31.05 23.0G 91554 F51 C~3rVP 2013 09 03.44303 23 30 11.830 +03 21 30.73 22.8G 91554 F51 C~3rVP 2013 09 03.45795 23 30 11.750 +03 21 30.40 22.9G 91554 F51 C~3rVP 2013 09 03.47286 23 30 11.660 +03 21 30.14 22.6G 91554 F51 C~3rVP 2014 08 06.53175 23 38 34.898 +05 11 00.70 21.9G 91554 F51 C~3rVP 2014 08 06.54337 23 38 34.821 +05 11 00.33 21.7G 91554 F51 C~3rVP 2014 08 06.55515 23 38 34.828 +05 11 00.28 21.9G 91554 F51 C~3rVP 2014 08 06.56677 23 38 34.751 +05 11 00.26 22.3G 91554 F51 C~3rVP 2014 08 31.40995 23 36 38.547 +05 05 30.40 22.8G 91554 F51 C~3rVP 2014 08 31.42164 23 36 38.498 +05 05 29.97 22.6G 91554 F51 C~3rVP 2014 08 31.43335 23 36 38.426 +05 05 29.78 22.7G 91554 F51 C~3rVP 2014 08 31.44513 23 36 38.363 +05 05 29.52 22.9G 91554 F51 C~3rVP 2014 10 01.44347 23 33 50.203 +04 52 53.49 20.3G 91554 F51 C~3rVP 2014 10 01.45496 23 33 50.142 +04 52 52.85 21.7G 91554 F51 C~3rVP 2014 10 01.46649 23 33 50.074 +04 52 52.70 21.6G 91554 F51 C~3rVP 2014 10 01.47805 23 33 50.002 +04 52 51.86 22.1G 91554 F51 C~3rVP 2014 12 12.21239 23 30 33.420 +04 31 38.60 23.3G 91554 F51 C~3rVP 2014 12 12.22328 23 30 33.418 +04 31 38.40 22.9G 91554 F51 C~3rVP 2014 12 12.23416 23 30 33.405 +04 31 38.81 22.9G 91554 F51 C~3rVP 2015 07 25.51390 23 45 14.175 +06 50 25.96 22.9G 91554 F51 C~3rVP 2015 07 25.52642 23 45 14.144 +06 50 25.87 22.6G 91554 F51 C~3rVP 2015 07 25.53901 23 45 14.106 +06 50 26.02 23.1G 91554 F51 C~3rVP 2015 07 25.55161 23 45 14.065 +06 50 26.09 23.2G 91554 F51 C~3rVP 2015 07 28.57099 23 45 05.265 +06 50 35.87 22.9G 91554 F51 C~3rVP 2015 07 28.58371 23 45 05.236 +06 50 35.56 22.9G 91554 F51 C~3rVP 2015 07 28.59641 23 45 05.191 +06 50 35.56 22.8G 91554 F51 C~3rVP 2015 07 28.60911 23 45 05.141 +06 50 35.53 23.0G 91554 F51 C~3rVP 2015 08 07.57796 23 44 30.734 +06 50 23.60 23.0G 91554 F51 C~3rVP 2015 08 21.52696 23 43 30.704 +06 48 18.58 22.7G 91554 F51 C~3rVP 2015 08 21.53956 23 43 30.626 +06 48 18.20 22.3G 91554 F51 C~3rVP 2015 08 21.55218 23 43 30.578 +06 48 18.47 22.2G 91554 F51 C~3rVP 2015 09 23.34173 23 40 38.344 +06 37 01.92 23.5G 91554 F51 C~3rVP 2015 09 23.35213 23 40 38.288 +06 37 01.42 23.6G 91554 F51 C~3rVP 2015 09 23.37301 23 40 38.162 +06 37 00.92 22.9G 91554 F51 C~3rVP 2015 10 08.40506 23 39 18.756 +06 30 10.39 22.4G 91554 F51 C~3rVP 2015 10 08.41777 23 39 18.698 +06 30 10.49 22.8G 91554 F51 C~3rVP 2015 10 09.38152 23 39 13.859 +06 29 43.58 22.7G 91554 F51 C~3rVP 2015 10 09.39416 23 39 13.790 +06 29 43.14 22.3G 91554 F51 C~3rVP 2015 10 09.40677 23 39 13.731 +06 29 42.95 22.3G 91554 F51 C~3rVP 2015 10 09.41938 23 39 13.671 +06 29 42.36 22.3G 91554 F51 C~3rVP 2015 11 06.25865 23 37 17.113 +06 17 39.16 22.8G 91554 F51 C~3rVP 2015 11 07.21230 23 37 14.179 +06 17 17.94 22.2G 91554 F51 C~3rVP 2015 11 07.22094 23 37 14.142 +06 17 17.87 23.1G 91554 F51 C~3rVP 2015 11 07.23496 23 37 14.059 +06 17 17.26 21.7G 91554 F51 C~3rVP 2015 11 07.24359 23 37 14.039 +06 17 17.19 22.4G 91554 F51 C~3rVP 2015 11 07.24628 23 37 14.059 +06 17 17.10 23.3G 91554 F51 C~3rVP 2015 12 02.21670 23 36 27.926 +06 10 37.98 22.7G 91554 F51 C~3rVP 2015 12 02.22904 23 36 27.935 +06 10 38.01 21.6G 91554 F51 C~3rVP 2015 12 02.24137 23 36 27.932 +06 10 38.19 22.8G 91554 F51 C~3rVP 2015 12 02.25368 23 36 27.887 +06 10 37.56 22.8G 91554 F51 C~3rVP 2017 07 22.356551 23 56 55.35 +09 59 39.5 91554 W84 C~3fGN 2017 07 22.358218 23 56 55.35 +09 59 39.4 91554 W84 C~3fGN 2017 11 11.073449 23 48 43.75 +09 27 05.9 91554 W84 C~3oI0 2017 11 11.074711 23 48 43.75 +09 27 05.9 91554 W84 C~3fGN 2019 06 11.58218 00 08 02.617 +12 38 19.12 23.4G 91554 F51 C~3rVP 2019 06 11.58733 00 08 02.634 +12 38 18.97 23.0G 91554 F51 C~3rVP 2019 06 11.59247 00 08 02.645 +12 38 19.43 22.8G 91554 F51 C~3rVP 2019 06 11.59763 00 08 02.667 +12 38 20.07 23.3G 91554 F51 C~3rVP 2019 10 24.30142 00 01 15.636 +12 36 52.48 23.2G 91554 F51 C~3rVP 2019 10 24.31220 00 01 15.593 +12 36 52.02 22.9G 91554 F51 C~3rVP 2019 10 24.32307 00 01 15.532 +12 36 51.69 22.7G 91554 F51 C~3rVP 2019 10 24.33408 00 01 15.483 +12 36 51.42 22.5G 91554 F51 C~3rVP 2019 10 25.25574 00 01 11.400 +12 36 23.60 22.4G 91554 F51 C~3rVP 2019 10 25.26730 00 01 11.348 +12 36 23.28 23.1G 91554 F51 C~3rVP 2019 10 25.27886 00 01 11.296 +12 36 23.18 22.4G 91554 F51 C~3rVP 2019 10 25.29051 00 01 11.244 +12 36 22.58 22.1G 91554 F51 C~3rVP 2019 11 17.22265 23 59 48.781 +12 25 33.59 22.9G 91554 F51 C~3rVP 2019 11 17.23340 23 59 48.742 +12 25 33.95 22.8G 91554 F51 C~3rVP 2019 11 17.24426 23 59 48.729 +12 25 33.24 22.9G 91554 F51 C~3rVP 2019 11 17.25509 23 59 48.709 +12 25 32.80 23.3G 91554 F51 C~3rVP 2019 11 29.30108 23 59 23.470 +12 20 54.78 22.8G 91554 F51 C~3rVP 2019 11 29.31133 23 59 23.443 +12 20 54.98 23.3G 91554 F51 C~3rVP 2019 11 29.32160 23 59 23.426 +12 20 54.48 22.8G 91554 F51 C~3rVP 2019 11 29.33186 23 59 23.413 +12 20 54.44 22.5G 91554 F51 C~3rVP 2024 11 01.107210 00 27 51.980 +19 20 00.43 23.1G 91554 G37 C~8USG 2024 11 01.153720 00 27 51.772 +19 19 58.91 91554 G37 C~8USG 2024 11 01.199770 00 27 51.582 +19 19 57.36 91554 G37 C~8USG
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 0.01 0.00 -0.29
2 0.0001 0.00 0.02 0.00 -0.42
3 0.0003 0.00 -0.00 0.00 0.17
4 0.0055 0.00 0.55 0.00 0.28
5 0.0056 0.00 0.27 0.00 0.24
6 0.0819 0.00 0.12 0.00 0.24
7 0.0820 0.00 0.31 0.00 0.31
8 0.1723 0.00 -0.19 0.00 -0.06
9 0.1752 0.00 -0.00 0.00 -0.26
10 0.1806 0.00 -0.06 0.00 -0.16
11 0.7263 0.00 0.33 0.00 0.19
12 0.7290 0.00 0.41 0.00 0.20
13 0.7317 0.00 0.20 0.00 0.01
14 1.8729 0.00 -0.40 0.00 -0.08
15 1.8731 0.00 -0.46 0.00 -0.23
16 3.1594 0.00 -0.24 0.00 0.14
17 3.1622 0.00 -0.27 0.00 -0.08
18 4.9578 0.00 -0.25 0.00 0.17
19 4.9582 0.00 -0.33 0.00 0.13
20 6.7571 0.00 -0.13 0.00 -0.57
21 6.7573 0.00 -0.17 0.00 -0.51
22 6.7573 0.00 -0.17 0.00 -0.55
23 6.7573 0.00 -0.17 0.00 -0.49
24 6.7844 0.00 ( 5.55) 0.00 ( -4.03)
25 6.7846 0.00 ( 6.02) 0.00 ( -4.52)
26 10.0507 0.00 0.41 0.00 -0.27
27 10.0507 0.00 0.33 0.00 -0.25
28 10.0507 0.00 0.38 0.00 -0.29
29 11.0202 0.00 0.24 0.00 0.32
30 11.0202 0.00 -0.06 0.00 0.05
31 11.0203 0.00 0.15 0.00 0.38
32 11.0203 0.00 0.22 0.00 0.02
33 11.0231 0.00 0.01 0.00 0.21
34 11.0231 0.00 -0.21 0.00 0.13
35 11.0231 0.00 0.35 0.00 0.40
36 11.0232 0.00 -0.05 0.00 -0.10
37 11.7489 0.00 -0.04 0.00 0.04
38 11.7489 0.00 -0.19 0.00 0.15
39 11.7489 0.00 0.11 0.00 0.35
40 11.9839 0.00 -0.21 0.00 0.13
41 11.9839 0.00 -0.02 0.00 0.20
42 11.9840 0.00 0.02 0.00 0.17
43 13.9362 0.00 -0.08 0.00 -0.04
44 13.9362 0.00 0.30 0.00 0.00
45 13.9363 0.00 0.06 0.00 0.14
46 13.9363 0.00 0.13 0.00 0.06
47 13.9880 0.00 -0.05 0.00 0.01
48 13.9880 0.00 0.05 0.00 0.02
49 13.9881 0.00 0.09 0.00 0.02
50 13.9881 0.00 -0.03 0.00 0.08
51 14.9109 0.00 0.26 0.00 0.22
52 14.9110 0.00 -0.19 0.00 -0.08
53 14.9110 0.00 0.63 0.00 -0.06
54 14.9110 0.00 0.18 0.00 -0.01
55 14.9790 0.00 0.05 0.00 0.22
56 14.9791 0.00 0.25 0.00 0.02
57 14.9791 0.00 0.11 0.00 0.06
58 14.9791 0.00 0.11 0.00 0.03
59 15.0640 0.00 0.11 0.00 0.44
60 15.0640 0.00 0.12 0.00 0.11
61 15.0641 0.00 0.03 0.00 0.27
62 15.0641 0.00 -0.12 0.00 -0.25
63 15.2605 0.00 0.20 0.00 0.10
64 15.2605 0.00 0.06 0.00 -0.11
65 15.2606 0.00 -0.25 0.00 0.29
66 15.8773 0.00 0.11 0.00 0.13
67 15.8774 0.00 0.18 0.00 -0.02
68 15.8774 0.00 0.15 0.00 0.08
69 15.8775 0.00 0.08 0.00 0.09
70 15.8857 0.00 0.02 0.00 0.22
71 15.8858 0.00 0.19 0.00 -0.11
72 15.8858 0.00 0.11 0.00 -0.14
73 15.8858 0.00 -0.04 0.00 -0.20
74 15.9131 0.00 -0.27 0.00 0.28
75 15.9513 0.00 0.16 0.00 -0.04
76 15.9513 0.00 -0.10 0.00 -0.25
77 15.9514 0.00 0.09 0.00 0.18
78 16.0411 0.00 -0.12 0.00 0.09
79 16.0412 0.00 -0.10 0.00 -0.14
80 16.0412 0.00 -0.25 0.00 -0.09
81 16.0824 0.00 -0.38 0.00 -0.33
82 16.0824 0.00 -0.27 0.00 0.13
83 16.0851 0.00 -0.13 0.00 0.08
84 16.0851 0.00 -0.20 0.00 -0.01
85 16.0851 0.00 -0.11 0.00 0.16
86 16.0852 0.00 -0.05 0.00 -0.08
87 16.1614 0.00 -0.01 0.00 -0.03
88 16.1640 0.00 0.45 0.00 -0.08
89 16.1640 0.00 0.30 0.00 0.04
90 16.1641 0.00 -0.28 0.00 -0.26
91 16.1641 0.00 -0.17 0.00 -0.14
92 16.1641 0.00 0.26 0.00 -0.17
93 16.2325 0.00 -0.37 0.00 -0.10
94 16.2325 0.00 -0.12 0.00 0.04
95 16.2325 0.00 -0.04 0.00 0.33
96 16.2326 0.00 -0.60 0.00 -0.19
97 17.8701 0.00 0.19 0.00 -0.03
98 17.8701 0.00 0.25 0.00 -0.15
99 18.1759 0.00 -0.24 0.00 -0.04
100 18.1759 0.00 -0.18 0.00 -0.00
101 19.7571 0.00 0.18 0.00 0.20
102 19.7571 0.00 0.27 0.00 -0.16
103 19.7571 0.00 0.27 0.00 0.09
104 19.7571 0.00 0.44 0.00 0.52
105 20.1259 0.00 0.06 0.00 0.05
106 20.1259 0.00 0.15 0.00 -0.09
107 20.1260 0.00 -0.02 0.00 -0.10
108 20.1260 0.00 -0.01 0.00 -0.04
109 20.1285 0.00 -0.07 0.00 -0.23
110 20.1286 0.00 -0.07 0.00 -0.20
111 20.1286 0.00 -0.07 0.00 0.04
112 20.1286 0.00 -0.07 0.00 -0.21
113 20.1914 0.00 -0.23 0.00 -0.21
114 20.1914 0.00 -0.37 0.00 0.43
115 20.1915 0.00 -0.12 0.00 -0.01
116 20.1915 0.00 0.03 0.00 -0.17
117 20.2245 0.00 0.02 0.00 -0.31
118 20.2245 0.00 -0.14 0.00 0.10
119 20.2245 0.00 -0.15 0.00 -0.19
120 20.2246 0.00 -0.11 0.00 -0.02
121 25.1493 0.00 -0.01 0.00 -0.04
122 25.1495 0.00 -0.09 0.00 -0.09
123 25.1496 0.00 0.08 0.00 -0.18
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.
91554 quality flag:3 Type: CENTAURS CENTAURS CENTAURS axisobj 103.093 103.093 103.093 ecceobj 0.700 0.700 0.700 incobj 25.474 25.474 25.474 qmin 28.669 28.727 28.785 qmax 197.960 191.043 185.431 amean 102.107 91.597 95.438 amin 93.615 87.128 87.883 amax 114.952 111.153 108.394 emean 0.699 0.665 0.677 emin 0.664 0.638 0.634 emax 0.722 0.719 0.711 imean 25.988 26.289 26.144 imin 24.069 24.355 24.154 imax 28.117 28.054 28.495 excite_mean 0.825 0.799 0.808 fracstop 1.000 1.000 1.000 cjmean 2.660 2.664 2.664 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 126.7 133.9 135.3 kozaiamp 180.0 179.9 180.0