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: 612911
# Created Fri Nov 22 02:07:45 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 123 observations of 123
# Arc: 20.85y
# First observation: 2002/12/06
# Last observation: 2023/10/11
# Chi-squared of fit: 101.84 DOF: 240 RMS: 0.16
# Min/Max residuals: -0.64 0.60
# Exact a, adot, b, bdot, g, gdot:
9.195515E-06 9.638604E-03 -8.153933E-06 -1.019339E-02 1.735174E-02 -1.508695E-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
2.189047 70.273761 -0.060763 0.037390 -0.978436 2452614.817373
# Heliocentric elements and errors
Epoch: 2452614.5000 = 2002/12/06
Mean Anomaly: 268.53028 +/- 0.000
Argument of Peri: 280.86752 +/- 0.000
Long of Asc Node: 252.37785 +/- 0.000
Inclination: 46.52815 +/- 0.000
Eccentricity: 0.10915831 +/- 0.0000
Semi-Major Axis: 57.77239501 +/- 0.0000
Time of Perihelion: 2493366.9616 +/- 0.0
Perihelion: 51.46605791 +/- 0.0000
Aphelion: 64.07873211 +/- 0.0000
Period (y) 439.1256 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 19.70945060 +/- 0.0000
Ecliptic Y 55.15679027 +/- 0.0000
Ecliptic Z 2.20085474 +/- 0.0000
Ecliptic XDOT -0.00149843 +/- 0.0000
Ecliptic YDOT 0.00034348 +/- 0.0000
Ecliptic ZDOT -0.00161608 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 58.61388157 +/- 0.0000
Geocenter to KBO 57.63124243 +/- 0.0000
# Hcoef: 4.29
The following table shows the complete astrometric record for 612911. 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 (612911) followed by the observatory code and reference code for the source of the astrometry.
2002 12 06.316630 04 33 13.50 +24 09 17.8 21.8V 612911 645 C~1RHV 2002 12 06.317459 04 33 13.50 +24 09 17.8 21.6V 612911 645 C~1RHV 2002 12 06.319947 04 33 13.49 +24 09 17.8 22.2V 612911 645 C~1RHV 2003 12 21.198379 04 35 01.92 +23 35 58.3 22.0V 612911 645 C~1RHV 2003 12 21.199208 04 35 01.92 +23 35 58.3 21.4V 612911 645 C~1RHV 2003 12 21.201696 04 35 01.91 +23 35 58.2 22.5V 612911 645 C~1RHV 2004 12 11.37220 04 38 22.58 +23 07 56.2 21.8r 612911 568 Cp3704 2004 12 11.40095 04 38 22.46 +23 07 55.8 21.8r 612911 568 Cp3704 2004 12 11.43050 04 38 22.35 +23 07 55.4 21.7r 612911 568 Cp3704 2004 12 12.29558 04 38 18.91 +23 07 43.5 21.8r 612911 568 Cp3704 2005 10 03.42252 04 44 54.79 +22 50 55.2 612911 675 Cp5312 2005 10 03.46821 04 44 54.72 +22 50 54.8 612911 675 Cp5312 2005 10 03.52046 04 44 54.63 +22 50 54.4 612911 675 Cp5312 2005 10 04.37903 04 44 53.21 +22 50 47.1 612911 675 Cp5312 2005 10 04.42754 04 44 53.13 +22 50 46.7 612911 675 Cp5312 2005 10 15.46157 04 44 30.15 +22 49 06.6 21.7I 612911 697 Cp5312 2005 10 15.47225 04 44 30.13 +22 49 06.6 21.9I 612911 697 Cp5312 2005 10 15.48235 04 44 30.11 +22 49 06.5 21.8I 612911 697 Cp5312 2005 10 15.49088 04 44 30.08 +22 49 06.2 22.0I 612911 697 Cp5312 2005 10 15.49885 04 44 30.05 +22 49 06.2 21.8I 612911 697 Cp5312 2005 10 15.50646 04 44 30.04 +22 49 06.2 21.6R 612911 697 Cp5312 2005 10 15.51392 04 44 30.03 +22 49 06.1 21.7R 612911 697 Cp5312 2005 10 15.52146 04 44 30.01 +22 49 06.1 21.7R 612911 697 Cp5312 2005 11 04.27055 04 43 31.52 +22 45 32.1 612911 695 Cp5312 2005 11 06.21923 04 43 24.74 +22 45 08.9 612911 695 Cp5312 2005 11 06.22659 04 43 24.72 +22 45 08.7 612911 695 Cp5312 2005 11 06.23333 04 43 24.69 +22 45 08.7 612911 695 Cp5312 2005 12 01.47526 04 41 47.64 +22 39 45.2 21.7i 612911 568 Cp5312 2005 12 01.52025 04 41 47.46 +22 39 44.7 21.9g 612911 568 Cp5312 2006 01 28.10603 04 38 33.21 +22 27 48.6 612911 675 Cy7595 2006 01 28.23212 04 38 32.96 +22 27 47.2 612911 675 Cy7595 2006 01 29.09450 04 38 31.24 +22 27 38.8 612911 675 Cy7595 2006 08 07.32839 04 47 10.76 +22 25 03.2 21.2R 612911 250 S~06Am 2006 08 07.33279 04 47 10.78 +22 25 03.2 612911 250 S~06Am 2006 08 07.33718 04 47 10.79 +22 25 03.2 612911 250 S~06Am 2006 08 07.34158 04 47 10.80 +22 25 03.1 612911 250 S~06Am 2006 09 25.47895 04 47 47.15 +22 21 22.4 612911 696 Cy7595 2006 09 25.48773 04 47 47.14 +22 21 22.3 612911 696 Cy7595 2006 09 25.49556 04 47 47.13 +22 21 22.3 612911 696 Cy7595 2006 09 27.49192 04 47 44.91 +22 21 06.7 612911 696 Cy7595 2006 09 27.49979 04 47 44.90 +22 21 06.6 612911 696 Cy7595 2007 09 16.50353 04 50 33.54 +21 51 40.3 612911 675 Cy7595 2007 09 17.44006 04 50 33.20 +21 51 33.6 612911 675 Cy7595 2010 10 11.47713 04 58 02.510 +20 13 46.24 21.9w 612911 F51 C~1vVN 2010 10 11.49112 04 58 02.508 +20 13 46.29 22.1w 612911 F51 C~1vVN 2010 10 11.50554 04 58 02.462 +20 13 46.29 22.2w 612911 F51 C~1vVN 2010 10 11.51952 04 58 02.456 +20 13 45.93 22.2w 612911 F51 C~1vVN 2010 11 07.56875 04 56 48.395 +20 08 24.86 21.4G 612911 F51 C~2kI8 2010 11 17.52270 04 56 12.696 +20 06 19.33 21.7G 612911 F51 C~2kI8 2010 12 05.35825 04 55 02.851 +20 02 35.34 21.7w 612911 F51 C~1vVN 2010 12 05.37648 04 55 02.780 +20 02 35.18 21.7w 612911 F51 C~1vVN 2010 12 05.39024 04 55 02.715 +20 02 34.88 21.7w 612911 F51 C~1vVN 2010 12 05.40414 04 55 02.655 +20 02 34.85 21.6w 612911 F51 C~1vVN 2010 12 15.46683 04 54 22.326 +20 00 32.69 21.5G 612911 F51 C~2kI8 2011 01 10.28697 04 52 47.69 +19 55 54.8 21.7R 612911 695 C~0U3I 2011 01 10.40310 04 52 47.33 +19 55 53.5 612911 695 C~0U3I 2011 01 10.41995 04 52 47.26 +19 55 53.4 612911 695 C~0U3I 2011 09 07.61375 05 01 06.393 +19 47 31.50 21.6G 612911 F51 C~2kI8 2012 10 01.54638 05 03 35.420 +19 11 33.09 21.9G 612911 F51 C~2kI8 2012 11 06.58636 05 02 10.256 +19 04 14.15 22.7G 612911 F51 C~2kI8 2012 11 25.36822 05 01 01.691 +19 00 16.13 22.5G 612911 F51 C~2kI8 2013 01 07.29851 04 58 16.553 +18 52 25.60 21.9G 612911 F51 C~2kI8 2013 01 18.41155 04 57 41.951 +18 50 55.30 21.9G 612911 F51 C~2kI8 2013 04 05.25588 04 57 24.720 +18 47 50.10 22.1G 612911 F51 C~2kI8 2013 09 21.57547 05 06 21.869 +18 41 10.35 22.7G 612911 F51 C~2kI8 2013 11 27.36315 05 03 34.722 +18 27 23.91 21.8w 612911 F51 C~1vVN 2013 11 27.37839 05 03 34.655 +18 27 23.71 21.6w 612911 F51 C~1vVN 2013 11 27.39363 05 03 34.595 +18 27 23.55 21.7w 612911 F51 C~1vVN 2013 11 27.40897 05 03 34.534 +18 27 23.31 21.8w 612911 F51 C~1vVN 2014 02 26.25784 04 59 17.837 +18 16 00.66 22.0G 612911 F51 C~2kI8 2014 10 25.62708 05 08 05.465 +18 01 43.80 22.0w 612911 F51 C~1vVN 2014 10 25.62975 05 08 05.446 +18 01 43.46 22.0w 612911 F51 C~1vVN 2014 10 25.63242 05 08 05.470 +18 01 43.73 22.2w 612911 F51 C~1vVN 2014 10 25.63506 05 08 05.457 +18 01 43.86 22.0w 612911 F51 C~1vVN 2014 11 18.43300 05 06 48.810 +17 56 32.95 22.2G 612911 F51 C~2kI8 2014 11 26.34345 05 06 18.824 +17 54 53.90 21.7w 612911 F51 C~1vVN 2014 11 26.35537 05 06 18.774 +17 54 53.72 21.5w 612911 F51 C~1vVN 2014 11 26.36730 05 06 18.735 +17 54 53.74 21.5w 612911 F51 C~1vVN 2014 11 26.37927 05 06 18.681 +17 54 53.47 21.5w 612911 F51 C~1vVN 2014 12 02.39088 05 05 55.073 +17 53 40.34 22.7G 612911 F51 C~2kI8 2015 01 18.23346 05 03 01.978 +17 46 16.79 21.8G 612911 F51 C~2kI8 2015 01 18.27533 05 03 01.857 +17 46 16.44 21.3G 612911 F51 C~2kI8 2015 01 20.22277 05 02 56.253 +17 46 04.28 21.9w 612911 F51 C~1vVN 2015 01 20.23639 05 02 56.210 +17 46 04.13 22.1w 612911 F51 C~1vVN 2015 01 20.24997 05 02 56.172 +17 46 03.98 21.8w 612911 F51 C~1vVN 2015 01 20.26349 05 02 56.132 +17 46 04.01 21.9w 612911 F51 C~1vVN 2015 01 22.34638 05 02 50.365 +17 45 51.43 21.7G 612911 F51 C~2kI8 2015 01 22.36032 05 02 50.326 +17 45 51.39 21.9G 612911 F51 C~2kI8 2015 01 22.37428 05 02 50.286 +17 45 51.28 22.0G 612911 F51 C~2kI8 2015 01 22.38819 05 02 50.245 +17 45 51.18 22.2G 612911 F51 C~2kI8 2015 01 24.32905 05 02 45.096 +17 45 40.17 21.9w 612911 F51 C~1vVN 2015 01 24.34351 05 02 45.065 +17 45 39.95 21.9w 612911 F51 C~1vVN 2015 01 24.35800 05 02 45.023 +17 45 39.94 21.9w 612911 F51 C~1vVN 2015 01 24.37253 05 02 44.969 +17 45 39.91 21.9w 612911 F51 C~1vVN 2015 03 11.051211 05 01 56.712 +17 43 50.34 21.9V 612911 W84 C~8Lxp 2015 03 11.053275 05 01 56.712 +17 43 50.41 21.9V 612911 W84 C~8Lxp 2015 12 08.49448 05 08 10.229 +17 19 32.37 21.6G 612911 F51 C~2kI8 2015 12 09.50127 05 08 06.204 +17 19 21.10 21.6G 612911 F51 C~2kI8 2015 12 09.51515 05 08 06.144 +17 19 21.08 22.0G 612911 F51 C~2kI8 2015 12 09.52902 05 08 06.090 +17 19 20.79 21.7G 612911 F51 C~2kI8 2015 12 09.54285 05 08 06.040 +17 19 20.67 21.7G 612911 F51 C~2kI8 2016 01 14.39885 05 05 52.414 +17 13 57.45 22.1G 612911 F51 C~2kI8 2016 01 14.41284 05 05 52.374 +17 13 57.29 21.9G 612911 F51 C~2kI8 2016 01 14.42673 05 05 52.328 +17 13 57.32 21.7G 612911 F51 C~2kI8 2016 01 14.44062 05 05 52.269 +17 13 57.19 22.5G 612911 F51 C~2kI8 2016 01 26.36825 05 05 18.235 +17 12 49.71 21.7G 612911 F51 C~2kI8 2016 01 26.39613 05 05 18.165 +17 12 49.86 22.4G 612911 F51 C~2kI8 2016 01 26.40996 05 05 18.136 +17 12 49.47 21.9G 612911 F51 C~2kI8 2016 01 29.35814 05 05 10.937 +17 12 36.26 21.8G 612911 F51 C~2kI8 2016 11 03.63070 05 12 52.924 +16 53 28.00 20.4G 612911 F51 C~2kI8 2016 11 03.63718 05 12 52.896 +16 53 27.95 20.7G 612911 F51 C~2kI8 2017 01 27.41157 05 07 50.678 +16 39 46.58 21.2G 612911 F51 C~2kI8 2017 09 01.58806 05 16 36.283 +16 34 11.32 22.3G 612911 F51 C~2kI8 2017 09 01.59325 05 16 36.278 +16 34 11.30 22.1G 612911 F51 C~2kI8 2017 09 01.59842 05 16 36.288 +16 34 11.14 22.1G 612911 F51 C~2kI8 2017 09 01.60359 05 16 36.297 +16 34 11.15 21.9G 612911 F51 C~2kI8 2021 01 22.987526 05 18 24.843 +14 25 58.27 612911 275 S~7mn7 2023 08 29.606198 05 31 46.770 +13 13 32.58 21.6w 612911 F52 C~78ym 2023 08 29.615243 05 31 46.767 +13 13 32.28 21.8w 612911 F52 C~78ym 2023 08 29.619726 05 31 46.768 +13 13 32.24 21.7w 612911 F52 C~78ym 2023 10 11.535942 05 31 52.385 +13 01 42.10 21.9w 612911 F52 C~7MVK 2023 10 11.547600 05 31 52.346 +13 01 42.05 21.8w 612911 F52 C~7MVK 2023 10 11.559282 05 31 52.333 +13 01 41.61 21.9w 612911 F52 C~7MVK
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 -0.05 0.00 -0.24
2 0.0000 0.00 -0.00 0.00 -0.23
3 0.0000 0.00 -0.00 0.00 -0.20
4 1.0401 0.00 0.16 0.00 -0.14
5 1.0401 0.00 0.21 0.00 -0.12
6 1.0401 0.00 0.21 0.00 -0.19
7 2.0152 0.00 -0.18 0.00 -0.01
8 2.0153 0.00 -0.23 0.00 -0.01
9 2.0154 0.00 -0.08 0.00 -0.01
10 2.0177 0.00 0.02 0.00 -0.00
11 2.8258 0.00 -0.45 0.00 -0.01
12 2.8259 0.00 -0.33 0.00 -0.04
13 2.8260 0.00 -0.33 0.00 -0.01
14 2.8284 0.00 0.03 0.00 -0.15
15 2.8285 0.00 0.12 0.00 -0.15
16 2.8587 0.00 0.06 0.00 -0.02
17 2.8587 0.00 0.15 0.00 0.09
18 2.8588 0.00 0.23 0.00 0.08
19 2.8588 0.00 0.10 0.00 -0.13
20 2.8588 0.00 -0.06 0.00 -0.05
21 2.8588 0.00 0.08 0.00 0.02
22 2.8589 0.00 0.21 0.00 -0.00
23 2.8589 0.00 0.19 0.00 0.07
24 2.9129 0.00 -0.08 0.00 0.21
25 2.9183 0.00 -0.40 0.00 0.23
26 2.9183 0.00 -0.31 0.00 0.12
27 2.9183 0.00 -0.40 0.00 0.20
28 2.9874 0.00 -0.10 0.00 -0.17
29 2.9876 0.00 -0.03 0.00 -0.07
30 3.1452 0.00 -0.01 0.00 0.02
31 3.1456 0.00 0.17 0.00 -0.11
32 3.1479 0.00 -0.04 0.00 0.10
33 3.6688 0.00 0.46 0.00 0.30
34 3.6688 0.00 0.60 0.00 0.31
35 3.6688 0.00 0.59 0.00 0.32
36 3.6688 0.00 0.58 0.00 0.22
37 3.8033 0.00 -0.22 0.00 0.16
38 3.8033 0.00 -0.23 0.00 0.13
39 3.8034 0.00 -0.25 0.00 0.19
40 3.8088 0.00 -0.27 0.00 0.11
41 3.8089 0.00 -0.28 0.00 0.07
42 4.7781 0.00 0.24 0.00 -0.18
43 4.7806 0.00 0.11 0.00 -0.27
44 7.8471 0.00 -0.23 0.00 -0.13
45 7.8472 0.00 0.16 0.00 0.07
46 7.8472 0.00 -0.10 0.00 0.22
47 7.8472 0.00 0.23 0.00 0.02
48 7.9213 0.00 0.02 0.00 0.25
49 7.9485 0.00 -0.07 0.00 0.04
50 7.9974 0.00 0.05 0.00 0.06
51 7.9974 0.00 0.10 0.00 0.13
52 7.9975 0.00 -0.04 0.00 -0.00
53 7.9975 0.00 -0.08 0.00 0.14
54 8.0251 0.00 -0.03 0.00 -0.23
55 8.0957 0.00 -0.18 0.00 0.25
56 8.0961 0.00 0.07 0.00 0.08
57 8.0961 0.00 -0.17 0.00 0.14
58 8.7537 0.00 -0.01 0.00 -0.07
59 9.8213 0.00 -0.01 0.00 -0.14
60 9.9200 0.00 0.16 0.00 -0.14
61 9.9714 0.00 0.14 0.00 -0.07
62 10.0889 0.00 -0.05 0.00 -0.12
63 10.1194 0.00 -0.03 0.00 0.05
64 10.3297 0.00 -0.19 0.00 0.01
65 10.7933 0.00 0.10 0.00 -0.64
66 10.9762 0.00 0.01 0.00 0.06
67 10.9762 0.00 -0.09 0.00 0.05
68 10.9763 0.00 -0.08 0.00 0.07
69 10.9763 0.00 -0.08 0.00 0.02
70 11.2250 0.00 0.13 0.00 0.15
71 11.8859 0.00 -0.16 0.00 -0.02
72 11.8859 0.00 -0.34 0.00 -0.32
73 11.8859 0.00 0.13 0.00 -0.01
74 11.8859 0.00 0.05 0.00 0.15
75 11.9510 0.00 0.06 0.00 -0.29
76 11.9727 0.00 -0.06 0.00 0.08
77 11.9727 0.00 -0.11 0.00 0.04
78 11.9728 0.00 0.01 0.00 0.21
79 11.9728 0.00 -0.09 0.00 0.08
80 11.9893 0.00 -0.08 0.00 -0.05
81 12.1175 0.00 -0.07 0.00 -0.05
82 12.1176 0.00 -0.01 0.00 -0.13
83 12.1229 0.00 0.04 0.00 0.02
84 12.1230 0.00 -0.02 0.00 -0.05
85 12.1230 0.00 -0.00 0.00 -0.12
86 12.1231 0.00 -0.02 0.00 -0.01
87 12.1288 0.00 0.09 0.00 -0.05
88 12.1288 0.00 0.08 0.00 -0.01
89 12.1288 0.00 0.06 0.00 -0.04
90 12.1289 0.00 0.03 0.00 -0.05
91 12.1342 0.00 0.01 0.00 0.03
92 12.1342 0.00 0.12 0.00 -0.11
93 12.1343 0.00 0.07 0.00 -0.03
94 12.1343 0.00 -0.16 0.00 0.02
95 12.2594 0.00 0.01 0.00 -0.06
96 12.2594 0.00 -0.01 0.00 0.00
97 13.0053 0.00 -0.00 0.00 -0.09
98 13.0080 0.00 0.08 0.00 -0.04
99 13.0081 0.00 0.02 0.00 0.10
100 13.0081 0.00 0.06 0.00 -0.03
101 13.0081 0.00 0.15 0.00 0.01
102 13.1063 0.00 -0.01 0.00 -0.05
103 13.1064 0.00 0.06 0.00 -0.12
104 13.1064 0.00 0.04 0.00 0.00
105 13.1064 0.00 -0.17 0.00 -0.03
106 13.1391 0.00 0.00 0.00 -0.05
107 13.1392 0.00 0.03 0.00 0.23
108 13.1392 0.00 0.13 0.00 -0.09
109 13.1473 0.00 -0.04 0.00 0.07
110 13.9119 0.00 -0.14 0.00 -0.08
111 13.9119 0.00 -0.25 0.00 -0.04
112 14.1440 0.00 0.16 0.00 -0.14
113 14.7386 0.00 0.05 0.00 0.02
114 14.7386 0.00 -0.11 0.00 0.06
115 14.7386 0.00 -0.04 0.00 -0.04
116 14.7386 0.00 0.00 0.00 0.03
117 18.1319 0.00 0.04 0.00 -0.05
118 20.7291 0.00 0.21 0.00 0.12
119 20.7291 0.00 -0.05 0.00 -0.04
120 20.7291 0.00 -0.15 0.00 -0.02
121 20.8466 0.00 0.23 0.00 0.08
122 20.8466 0.00 -0.10 0.00 0.23
123 20.8467 0.00 -0.04 0.00 -0.01
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.
612911 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 57.811 57.811 57.811 ecceobj 0.104 0.104 0.104 incobj 46.501 46.501 46.501 qmin 50.646 50.646 50.646 qmax 64.868 64.860 64.876 amean 57.561 57.561 57.561 amin 57.076 57.084 57.075 amax 58.094 58.094 58.096 emean 0.104 0.104 0.104 emin 0.095 0.095 0.095 emax 0.117 0.117 0.117 imean 47.970 47.970 47.970 imin 47.768 47.771 47.763 imax 48.185 48.181 48.178 excite_mean 0.750 0.750 0.750 fracstop 1.000 1.000 1.000 cjmean 2.364 2.364 2.364 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 221.5 221.8 221.5 kozaiamp 180.0 180.0 180.0