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: 472265 # Created Fri Nov 22 02:07:10 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 121 observations of 121 # Arc: 9.22y # First observation: 2010/09/29 # Last observation: 2019/12/19 # Chi-squared of fit: 114.21 DOF: 236 RMS: 0.17 # Min/Max residuals: -0.79 0.68 # Exact a, adot, b, bdot, g, gdot: 3.012350E-05 1.789254E-01 1.063458E-06 5.356328E-03 9.166238E-02 -5.193043E-02 # 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 -2.561762 -33.340408 -0.632359 -0.034529 -0.771011 2455468.795546 # Heliocentric elements and errors Epoch: 2455468.5000 = 2010/09/29 Mean Anomaly: 328.63633 +/- 0.000 Argument of Peri: 6.56974 +/- 0.000 Long of Asc Node: 21.75296 +/- 0.000 Inclination: 3.02999 +/- 0.000 Eccentricity: 0.31737896 +/- 0.0000 Semi-Major Axis: 15.16498468 +/- 0.0000 Time of Perihelion: 2457347.7554 +/- 0.0 Perihelion: 10.35193763 +/- 0.0000 Aphelion: 19.97803174 +/- 0.0000 Period (y) 59.0570 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 10.10168983 +/- 0.0000 Ecliptic Y -5.88697861 +/- 0.0000 Ecliptic Z -0.48759006 +/- 0.0000 Ecliptic XDOT 0.00164900 +/- 0.0000 Ecliptic YDOT 0.00531881 +/- 0.0000 Ecliptic ZDOT 0.00022914 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 11.70214667 +/- 0.0000 Geocenter to KBO 10.90973996 +/- 0.0000 # Hcoef: 11.21
The following table shows the complete astrometric record for 472265. 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 (472265) followed by the observatory code and reference code for the source of the astrometry.
2010 09 29.29478 21 59 09.095 -15 02 06.78 21.9w 472265 F51 C~1vXj 2010 09 29.30797 21 59 08.945 -15 02 07.91 21.8w 472265 F51 C~1vXj 2010 09 29.32185 21 59 08.807 -15 02 07.81 22.0w 472265 F51 C~1vXj 2010 09 29.33503 21 59 08.649 -15 02 08.08 22.0w 472265 F51 C~1vXj 2011 08 24.43477 22 48 09.214 -10 03 44.68 21.8w 472265 F51 C~1vXj 2011 08 24.44877 22 48 09.011 -10 03 45.84 21.9w 472265 F51 C~1vXj 2011 08 24.46273 22 48 08.816 -10 03 47.03 21.9w 472265 F51 C~1vXj 2011 08 24.47672 22 48 08.609 -10 03 48.16 21.8w 472265 F51 C~1vXj 2012 08 14.49041 23 33 16.675 -04 48 53.57 21.7w 472265 F51 C~1vXj 2012 08 14.50548 23 33 16.504 -04 48 54.45 21.8w 472265 F51 C~1vXj 2012 08 14.52052 23 33 16.329 -04 48 55.76 21.9w 472265 F51 C~1vXj 2012 08 14.53558 23 33 16.156 -04 48 56.78 21.8w 472265 F51 C~1vXj 2012 12 31.21821 23 20 37.370 -05 45 06.03 22.2w 472265 F51 C~1vXj 2012 12 31.22218 23 20 37.398 -05 45 05.62 22.1w 472265 F51 C~1vXj 2012 12 31.22614 23 20 37.463 -05 45 05.31 22.3w 472265 F51 C~1vXj 2012 12 31.23009 23 20 37.516 -05 45 04.91 22.0w 472265 F51 C~1vXj 2014 06 27.59702 01 01 52.352 +05 59 48.64 21.9w 472265 F51 C~1vXj 2014 06 27.59967 01 01 52.373 +05 59 48.81 21.8w 472265 F51 C~1vXj 2014 06 27.60230 01 01 52.403 +05 59 48.97 22.0w 472265 F51 C~1vXj 2014 06 27.60495 01 01 52.435 +05 59 49.11 22.1w 472265 F51 C~1vXj 2014 07 30.57391 01 05 03.394 +06 21 26.63 21.9w 472265 F51 C~1vXj 2014 07 30.58633 01 05 03.397 +06 21 26.61 21.9w 472265 F51 C~1vXj 2014 07 30.59884 01 05 03.390 +06 21 26.72 21.9w 472265 F51 C~1vXj 2014 07 30.61140 01 05 03.397 +06 21 26.94 21.9w 472265 F51 C~1vXj 2014 08 26.55493 01 03 08.564 +06 11 39.36 21.6w 472265 F51 C~1vXj 2014 08 26.56707 01 03 08.461 +06 11 38.85 21.9w 472265 F51 C~1vXj 2014 08 26.58329 01 03 08.306 +06 11 37.92 21.7w 472265 F51 C~1vXj 2014 08 27.57638 01 02 59.727 +06 10 50.16 21.7w 472265 F51 C~1vXj 2014 08 27.57836 01 02 59.721 +06 10 49.93 21.9w 472265 F51 C~1vXj 2014 08 27.58809 01 02 59.615 +06 10 49.59 21.6w 472265 F51 C~1vXj 2014 08 27.59007 01 02 59.600 +06 10 49.31 21.7w 472265 F51 C~1vXj 2014 08 27.59965 01 02 59.516 +06 10 49.00 21.6w 472265 F51 C~1vXj 2014 08 27.60163 01 02 59.500 +06 10 48.86 21.7w 472265 F51 C~1vXj 2014 08 27.61125 01 02 59.407 +06 10 48.37 21.7w 472265 F51 C~1vXj 2014 08 27.61323 01 02 59.386 +06 10 48.10 21.8w 472265 F51 C~1vXj 2014 09 18.44761 00 58 49.223 +05 47 03.65 21.2w 472265 F51 C~1vXj 2014 09 18.45978 00 58 49.049 +05 47 02.53 21.3w 472265 F51 C~1vXj 2014 09 18.47203 00 58 48.882 +05 47 01.76 21.4w 472265 F51 C~1vXj 2014 09 19.46063 00 58 35.288 +05 45 43.57 21.6w 472265 F51 C@0615 2014 09 19.47296 00 58 35.112 +05 45 42.57 21.6w 472265 F51 C@0615 2014 09 19.48535 00 58 34.937 +05 45 41.56 21.4w 472265 F51 C@0615 2014 09 19.49778 00 58 34.763 +05 45 40.62 21.6w 472265 F51 C@0615 2014 09 20.211724 00 58 24.86 +05 44 44.3 21.7R 472265 W85 C~1A2z 2014 09 20.215775 00 58 24.79 +05 44 43.9 21.7R 472265 W85 C~1A2z 2014 09 20.219788 00 58 24.73 +05 44 43.7 22.0R 472265 W85 C~1A2z 2014 09 20.223802 00 58 24.67 +05 44 43.4 21.6R 472265 W85 C~1A2z 2014 09 20.227832 00 58 24.63 +05 44 43.0 22.1R 472265 W85 C~1A2z 2014 09 25.229571 00 57 13.22 +05 37 51.1 21.3V 472265 H21 C~1A2z 2014 09 25.243572 00 57 13.02 +05 37 50.0 21.2V 472265 H21 C~1A2z 2014 09 25.258257 00 57 12.80 +05 37 48.7 21.4V 472265 H21 C~1A2z 2014 09 30.28074 00 55 58.49 +05 30 40.6 21.1R 472265 291 C~1A2z 2014 09 30.33460 00 55 57.65 +05 30 35.5 21.2R 472265 291 C~1A2z 2014 10 22.17446 00 50 29.37 +04 59 07.0 20.9R 472265 G37 C~1Byq 2014 10 22.28107 00 50 27.81 +04 58 58.2 472265 G37 C~1Byq 2014 11 23.11476 00 44 27.36 +04 25 41.2 21.0R 472265 695 C~1Dsg 2014 11 23.12850 00 44 27.26 +04 25 40.7 472265 695 C~1Dsg 2014 11 23.14248 00 44 27.15 +04 25 40.2 472265 695 C~1Dsg 2014 11 28.07928 00 43 55.67 +04 23 05.3 21.1R 472265 695 C~1Dsg 2014 11 28.09953 00 43 55.56 +04 23 04.7 472265 695 C~1Dsg 2014 11 28.12517 00 43 55.41 +04 23 04.1 472265 695 C~1Dsg 2015 01 22.11771 00 47 44.60 +04 55 07.4 21.6R 472265 G37 C~1M7l 2015 01 22.12574 00 47 44.70 +04 55 08.2 472265 G37 C~1M7l 2015 01 22.12984 00 47 44.77 +04 55 08.7 472265 G37 C~1M7l 2015 09 12.44324 01 49 36.901 +11 32 38.72 21.6w 472265 F51 C~1ae1 2015 09 12.45360 01 49 36.789 +11 32 38.19 21.7w 472265 F51 C~1ae1 2015 09 12.47447 01 49 36.582 +11 32 37.34 21.7w 472265 F51 C~1ae1 2015 10 09.28959 01 43 48.83 +11 03 56.2 20.4R 472265 695 C~1ae1 2015 10 09.29359 01 43 48.77 +11 03 55.9 472265 695 C~1ae1 2015 10 12.29133 01 43 02.79 +11 00 00.6 20.4R 472265 G37 C~1ae1 2015 10 12.32394 01 43 02.27 +10 59 58.0 472265 G37 C~1ae1 2015 10 16.41681 01 41 58.41 +10 54 28.8 21.7V 472265 G96 C~1ae1 2015 10 16.42178 01 41 58.29 +10 54 29.0 21.9V 472265 G96 C~1ae1 2015 10 16.42675 01 41 58.25 +10 54 28.6 22.2V 472265 G96 C~1ae1 2015 10 16.43171 01 41 58.10 +10 54 27.3 21.5V 472265 G96 C~1ae1 2016 10 02.37337 02 36 58.68 +16 22 23.7 20.9V 472265 G96 C~1zNU 2016 10 02.38253 02 36 58.52 +16 22 23.2 21.3V 472265 G96 C~1zNU 2016 10 02.39169 02 36 58.38 +16 22 23.4 21.2V 472265 G96 C~1zNU 2016 10 02.40094 02 36 58.29 +16 22 23.1 20.8V 472265 G96 C~1zNU 2016 10 26.30558 02 31 06.428 +15 58 23.30 21.2w 472265 F51 C~20np 2016 10 26.32437 02 31 06.123 +15 58 22.10 21.1w 472265 F51 C~20np 2016 10 26.34324 02 31 05.818 +15 58 20.79 21.2w 472265 F51 C~20np 2016 10 26.36859 02 31 05.404 +15 58 18.93 21.4w 472265 F51 C~20np 2016 10 26.38757 02 31 05.081 +15 58 17.73 21.1w 472265 F51 C~20np 2016 10 26.46674 02 31 03.763 +15 58 12.01 21.4w 472265 F51 C~20np 2016 10 26.48565 02 31 03.454 +15 58 10.91 21.3w 472265 F51 C~20np 2016 10 26.51170 02 31 03.033 +15 58 09.06 21.4w 472265 F51 C~20np 2016 10 26.53047 02 31 02.711 +15 58 07.47 21.3w 472265 F51 C~20np 2016 10 26.54933 02 31 02.410 +15 58 06.58 21.4w 472265 F51 C~20np 2016 10 26.56821 02 31 02.096 +15 58 05.18 21.5w 472265 F51 C~20np 2016 10 27.37624 02 30 49.021 +15 57 08.84 21.2w 472265 F51 C~20np 2016 10 27.38296 02 30 48.918 +15 57 08.26 21.4w 472265 F51 C~20np 2016 10 27.38977 02 30 48.800 +15 57 07.68 21.3w 472265 F51 C~20np 2016 10 27.46748 02 30 47.513 +15 57 02.31 21.4w 472265 F51 C~20np 2016 10 27.47404 02 30 47.385 +15 57 02.08 21.5w 472265 F51 C~20np 2016 10 27.48059 02 30 47.289 +15 57 01.42 21.5w 472265 F51 C~20np 2016 10 27.48715 02 30 47.188 +15 57 00.89 21.4w 472265 F51 C~20np 2016 10 29.37697 02 30 16.389 +15 54 47.93 21.3w 472265 F51 C~21Pf 2016 10 29.38381 02 30 16.283 +15 54 47.39 21.3w 472265 F51 C~21Pf 2016 10 29.39074 02 30 16.158 +15 54 46.86 21.3w 472265 F51 C~21Pf 2016 10 29.45837 02 30 15.023 +15 54 41.96 21.3w 472265 F51 C~21Pf 2016 10 29.48009 02 30 14.674 +15 54 40.68 21.4w 472265 F51 C~21Pf 2016 10 29.48665 02 30 14.558 +15 54 40.00 21.5w 472265 F51 C~21Pf 2016 10 29.49320 02 30 14.445 +15 54 39.63 21.3w 472265 F51 C~21Pf 2016 10 29.49975 02 30 14.339 +15 54 39.09 21.3w 472265 F51 C~21Pf 2016 10 29.50633 02 30 14.232 +15 54 38.60 21.3w 472265 F51 C~21Pf 2016 10 29.51289 02 30 14.117 +15 54 38.25 21.2w 472265 F51 C~21Pf 2016 10 29.51944 02 30 14.013 +15 54 37.72 21.3w 472265 F51 C~21Pf 2017 10 28.55425 03 23 41.018 +20 20 26.53 21.5w 472265 F51 C~2PNg 2017 10 28.56666 03 23 40.800 +20 20 25.77 21.8w 472265 F51 C~2PNg 2017 10 28.57904 03 23 40.614 +20 20 25.33 21.6w 472265 F51 C~2PNg 2017 10 28.59138 03 23 40.416 +20 20 24.61 21.7w 472265 F51 C~2PNg 2017 11 17.49452 03 18 09.761 +20 02 27.35 21.4w 472265 F51 C~2Qdf 2017 11 17.50657 03 18 09.550 +20 02 26.83 21.7w 472265 F51 C~2Qdf 2017 11 17.51862 03 18 09.347 +20 02 26.02 21.5w 472265 F51 C~2Qdf 2017 11 17.53074 03 18 09.142 +20 02 25.46 21.5w 472265 F51 C~2Qdf 2017 12 09.27990 03 12 25.371 +19 41 35.06 21.7w 472265 F51 C~2TEv 2017 12 09.29349 03 12 25.181 +19 41 34.80 21.7w 472265 F51 C~2TEv 2017 12 09.30708 03 12 24.973 +19 41 33.82 21.6w 472265 F51 C~2TEv 2019 12 19.30960 04 54 20.197 +25 18 07.63 21.7w 472265 F51 C~3WjA 2019 12 19.32208 04 54 19.997 +25 18 07.50 21.9w 472265 F51 C~3WjA 2019 12 19.33462 04 54 19.775 +25 18 07.14 21.9w 472265 F51 C~3WjA
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 0.16 0.00 0.03 2 0.0000 0.00 -0.08 0.00 -0.59 3 0.0001 0.00 -0.04 0.00 0.05 4 0.0001 0.00 -0.41 0.00 0.30 5 0.9011 0.00 -0.11 0.00 0.01 6 0.9012 0.00 -0.12 0.00 0.01 7 0.9012 0.00 -0.01 0.00 -0.02 8 0.9013 0.00 -0.08 0.00 0.00 9 1.8760 0.00 0.07 0.00 -0.16 10 1.8760 0.00 0.14 0.00 0.05 11 1.8760 0.00 0.14 0.00 -0.17 12 1.8761 0.00 0.18 0.00 -0.10 13 2.2558 0.00 0.47 0.00 0.11 14 2.2558 0.00 0.10 0.00 0.12 15 2.2558 0.00 0.29 0.00 0.04 16 2.2558 0.00 0.30 0.00 0.05 17 3.7435 0.00 0.01 0.00 -0.05 18 3.7435 0.00 -0.11 0.00 -0.08 19 3.7435 0.00 -0.08 0.00 -0.11 20 3.7435 0.00 -0.04 0.00 -0.16 21 3.8338 0.00 -0.09 0.00 -0.12 22 3.8338 0.00 -0.02 0.00 -0.21 23 3.8338 0.00 -0.11 0.00 -0.16 24 3.8339 0.00 0.02 0.00 -0.01 25 3.9076 0.00 -0.05 0.00 0.18 26 3.9077 0.00 0.02 0.00 0.24 27 3.9077 0.00 -0.15 0.00 0.08 28 3.9104 0.00 -0.10 0.00 0.24 29 3.9104 0.00 0.08 0.00 0.11 30 3.9105 0.00 -0.18 0.00 0.25 31 3.9105 0.00 -0.13 0.00 0.07 32 3.9105 0.00 -0.08 0.00 0.23 33 3.9105 0.00 -0.05 0.00 0.19 34 3.9105 0.00 -0.12 0.00 0.17 35 3.9105 0.00 -0.17 0.00 0.00 36 3.9703 0.00 0.03 0.00 0.03 37 3.9703 0.00 -0.01 0.00 -0.14 38 3.9704 0.00 0.06 0.00 0.06 39 3.9731 0.00 0.10 0.00 0.04 40 3.9731 0.00 0.09 0.00 0.02 41 3.9731 0.00 0.11 0.00 -0.00 42 3.9732 0.00 0.14 0.00 0.04 43 3.9751 0.00 0.11 0.00 -0.03 44 3.9751 0.00 -0.07 0.00 -0.10 45 3.9752 0.00 -0.11 0.00 0.02 46 3.9752 0.00 -0.15 0.00 0.04 47 3.9752 0.00 0.11 0.00 -0.04 48 3.9889 0.00 -0.22 0.00 0.12 49 3.9889 0.00 -0.10 0.00 0.19 50 3.9889 0.00 -0.12 0.00 0.12 51 4.0027 0.00 0.15 0.00 0.38 52 4.0028 0.00 -0.07 0.00 -0.07 53 4.0626 0.00 0.00 0.00 -0.08 54 4.0629 0.00 0.16 0.00 -0.10 55 4.1501 0.00 -0.04 0.00 -0.10 56 4.1501 0.00 0.00 0.00 -0.10 57 4.1502 0.00 -0.08 0.00 -0.09 58 4.1637 0.00 -0.05 0.00 0.04 59 4.1637 0.00 0.08 0.00 -0.03 60 4.1638 0.00 0.09 0.00 0.04 61 4.3144 0.00 0.06 0.00 -0.09 62 4.3144 0.00 -0.06 0.00 -0.04 63 4.3144 0.00 0.17 0.00 0.08 64 4.9532 0.00 0.01 0.00 -0.33 65 4.9532 0.00 -0.08 0.00 -0.38 66 4.9533 0.00 0.03 0.00 -0.27 67 5.0267 0.00 -0.16 0.00 -0.21 68 5.0267 0.00 -0.13 0.00 -0.20 69 5.0349 0.00 0.22 0.00 0.11 70 5.0350 0.00 0.15 0.00 0.10 71 5.0462 0.00 0.29 0.00 -0.24 72 5.0462 0.00 -0.32 0.00 0.37 73 5.0462 0.00 0.27 0.00 0.37 74 5.0462 0.00 -0.79 0.00 -0.52 75 6.0098 0.00 0.63 0.00 -0.03 76 6.0098 0.00 -0.01 0.00 -0.10 77 6.0098 0.00 -0.35 0.00 0.54 78 6.0099 0.00 0.08 0.00 0.68 79 6.0753 0.00 -0.21 0.00 -0.12 80 6.0754 0.00 -0.14 0.00 -0.03 81 6.0754 0.00 -0.04 0.00 -0.05 82 6.0755 0.00 0.04 0.00 -0.17 83 6.0755 0.00 -0.08 0.00 -0.06 84 6.0758 0.00 -0.14 0.00 -0.28 85 6.0758 0.00 -0.07 0.00 -0.06 86 6.0759 0.00 0.10 0.00 -0.08 87 6.0759 0.00 -0.07 0.00 -0.35 88 6.0760 0.00 0.10 0.00 0.09 89 6.0760 0.00 0.06 0.00 0.03 90 6.0783 0.00 -0.09 0.00 0.08 91 6.0783 0.00 0.04 0.00 -0.03 92 6.0783 0.00 -0.03 0.00 -0.14 93 6.0785 0.00 0.08 0.00 -0.07 94 6.0785 0.00 -0.20 0.00 0.16 95 6.0785 0.00 -0.01 0.00 -0.04 96 6.0786 0.00 0.12 0.00 -0.11 97 6.0837 0.00 0.05 0.00 0.13 98 6.0837 0.00 0.17 0.00 0.07 99 6.0838 0.00 0.04 0.00 0.03 100 6.0840 0.00 -0.02 0.00 -0.08 101 6.0840 0.00 0.20 0.00 0.18 102 6.0840 0.00 0.10 0.00 -0.03 103 6.0840 0.00 0.05 0.00 0.07 104 6.0841 0.00 0.10 0.00 -0.00 105 6.0841 0.00 0.14 0.00 -0.02 106 6.0841 0.00 0.06 0.00 0.10 107 6.0841 0.00 0.14 0.00 0.04 108 7.0808 0.00 0.03 0.00 0.16 109 7.0808 0.00 -0.25 0.00 0.00 110 7.0809 0.00 -0.07 0.00 0.17 111 7.0809 0.00 -0.08 0.00 0.05 112 7.1354 0.00 0.05 0.00 -0.10 113 7.1354 0.00 -0.00 0.00 0.09 114 7.1355 0.00 0.07 0.00 0.00 115 7.1355 0.00 0.12 0.00 0.16 116 7.1950 0.00 0.15 0.00 -0.34 117 7.1951 0.00 0.23 0.00 0.12 118 7.1951 0.00 0.04 0.00 -0.14 119 9.2211 0.00 -0.12 0.00 -0.15 120 9.2212 0.00 0.10 0.00 0.03 121 9.2212 0.00 0.01 0.00 -0.02
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.
472265 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 15.047 15.047 15.047 ecceobj 0.316 0.316 0.316 incobj 3.036 3.036 3.036 qmin 10.296 10.296 10.295 qmax 19.799 19.799 19.799 amean 15.047 15.047 15.047 amin 15.047 15.047 15.047 amax 15.047 15.047 15.047 emean 0.316 0.316 0.316 emin 0.316 0.316 0.316 emax 0.316 0.316 0.316 imean 3.318 3.318 3.318 imin 3.318 3.318 3.318 imax 3.318 3.318 3.318 excite_mean 0.321 0.321 0.321 fracstop 0.000 0.000 0.000 cjmean 3.339 3.339 3.339 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 7.2 7.2 7.2 kozaiamp 0.0 0.0 0.0