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: 560552 # Created Thu Apr 25 01:08:55 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 123 observations of 123 # Arc: 13.04y # First observation: 2010/03/13 # Last observation: 2023/03/27 # Chi-squared of fit: 191.59 DOF: 240 RMS: 0.22 # Min/Max residuals: -0.93 0.95 # Exact a, adot, b, bdot, g, gdot: 1.615570E-05 2.900702E-02 -2.550836E-06 -2.325170E-03 2.684196E-02 1.285682E-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 -16.134969 177.159893 0.080963 -0.276517 -0.955747 2455268.965046 # Heliocentric elements and errors Epoch: 2455268.5000 = 2010/03/13 Mean Anomaly: 14.38524 +/- 0.000 Argument of Peri: 234.70016 +/- 0.000 Long of Asc Node: 283.76055 +/- 0.000 Inclination: 16.37986 +/- 0.000 Eccentricity: 0.14116890 +/- 0.0000 Semi-Major Axis: 44.18163709 +/- 0.0000 Time of Perihelion: 2450982.2666 +/- 0.0 Perihelion: 37.94456404 +/- 0.0000 Aphelion: 50.41871014 +/- 0.0000 Period (y) 293.6777 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -36.72943544 +/- 0.0000 Ecliptic Y 1.90027872 +/- 0.0000 Ecliptic Z -10.35330955 +/- 0.0000 Ecliptic XDOT -0.00020430 +/- 0.0000 Ecliptic YDOT -0.00294623 +/- 0.0000 Ecliptic ZDOT -0.00026432 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.20800328 +/- 0.0000 Geocenter to KBO 37.25511173 +/- 0.0000 # Hcoef: 6.30
The following table shows the complete astrometric record for 560552. 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 (560552) followed by the observatory code and reference code for the source of the astrometry.
2010 03 13.46428 11 23 28.504 -13 39 09.74 21.7G 560552 F51 C~2rYP 2012 04 13.34386 11 33 02.587 -14 56 10.18 22.0w 560552 F51 C~1vYY 2012 04 13.34390 11 33 02.57 -14 56 10.1 21.7R 560552 F51 C~1pQu 2012 04 13.35711 11 33 02.529 -14 56 09.63 21.9w 560552 F51 C~1vYY 2012 04 13.35715 11 33 02.52 -14 56 09.5 21.7R 560552 F51 C~1pQu 2012 04 13.37032 11 33 02.485 -14 56 09.15 22.1w 560552 F51 C~1vYY 2012 04 13.38358 11 33 02.424 -14 56 08.64 22.2w 560552 F51 C~1vYY 2012 05 09.28608 11 31 36.136 -14 40 01.14 21.9G 560552 F51 C~2rYP 2013 01 25.60521 11 44 56.360 -16 08 24.51 21.8G 560552 F51 C~2rYP 2013 03 04.49411 11 42 21.118 -16 03 30.11 22.0G 560552 F51 C~2rYP 2013 03 04.50510 11 42 21.062 -16 03 29.81 21.9G 560552 F51 C~2rYP 2013 03 04.51731 11 42 21.019 -16 03 29.78 23.0G 560552 F51 C~2rYP 2013 03 04.52944 11 42 20.943 -16 03 29.19 22.1G 560552 F51 C~2rYP 2013 04 07.34421 11 39 33.781 -15 46 28.13 21.6w 560552 F51 C~1vYY 2013 04 07.35875 11 39 33.705 -15 46 27.45 21.9w 560552 F51 C@0617 2013 04 07.37330 11 39 33.633 -15 46 26.97 21.8w 560552 F51 C~1vYY 2013 04 07.38782 11 39 33.571 -15 46 26.55 21.8w 560552 F51 C~1vYY 2014 01 26.54203 11 50 57.798 -16 53 05.69 21.9G 560552 F51 C~2rYP 2014 02 13.52762 11 49 55.344 -16 53 15.90 21.8G 560552 F51 C~2rYP 2015 01 31.57323 11 56 49.398 -17 37 29.77 22.3G 560552 F51 C~2rYP 2015 01 31.58497 11 56 49.358 -17 37 29.68 22.1G 560552 F51 C~2rYP 2015 01 31.59671 11 56 49.331 -17 37 29.52 22.7G 560552 F51 C~2rYP 2015 01 31.60846 11 56 49.298 -17 37 29.99 22.4G 560552 F51 C~2rYP 2015 02 19.46542 11 55 39.060 -17 36 45.74 22.0w 560552 F51 C~1vYY 2015 02 19.47709 11 55 39.014 -17 36 45.59 22.0w 560552 F51 C~1vYY 2015 02 19.48877 11 55 38.967 -17 36 45.58 22.3w 560552 F51 C~1vYY 2015 02 19.50045 11 55 38.910 -17 36 45.47 22.0w 560552 F51 C~1vYY 2015 02 20.47935 11 55 34.652 -17 36 35.72 21.8G 560552 F51 C~2rYP 2015 02 20.49058 11 55 34.598 -17 36 35.58 21.5G 560552 F51 C~2rYP 2015 02 20.50183 11 55 34.543 -17 36 35.38 21.6G 560552 F51 C~2rYP 2015 02 20.51311 11 55 34.499 -17 36 35.12 22.1G 560552 F51 C~2rYP 2015 03 18.40933 11 53 29.419 -17 28 08.73 22.2w 560552 F51 C~1vYY 2015 03 18.42057 11 53 29.352 -17 28 08.38 22.2w 560552 F51 C~1vYY 2015 03 18.43184 11 53 29.288 -17 28 08.18 21.9w 560552 F51 C~1vYY 2015 03 18.44311 11 53 29.230 -17 28 07.80 22.5w 560552 F51 C~1vYY 2015 03 20.43889 11 53 19.094 -17 27 11.77 22.1w 560552 F51 C~1vYY 2015 03 20.45037 11 53 19.047 -17 27 11.58 22.0w 560552 F51 C~1vYY 2015 03 20.46190 11 53 18.984 -17 27 10.86 22.0w 560552 F51 C~1vYY 2015 03 20.47338 11 53 18.928 -17 27 10.59 22.2w 560552 F51 C~1vYY 2015 04 13.03287 11 51 24.127 -17 14 01.21 560552 807 C~1pQu 2015 04 13.03287 11 51 24.09 -17 14 01.2 22.2V 560552 W84 C~2JAh 2015 04 13.13580 11 51 23.634 -17 13 57.63 560552 807 C~1pQu 2015 04 13.13580 11 51 23.62 -17 13 57.4 560552 W84 C~2JAh 2015 04 13.25786 11 51 23.083 -17 13 52.93 560552 807 C~1pQu 2015 04 13.25787 11 51 23.06 -17 13 52.8 560552 W84 C~2JAh 2015 04 20.14576 11 50 53.304 -17 09 32.82 21.7r 560552 304 C~1pQu 2015 04 20.25335 11 50 52.843 -17 09 28.66 560552 304 C~1pQu 2015 04 21.31293 11 50 48.483 -17 08 48.80 21.3G 560552 F51 C~2rYP 2015 05 23.04740 11 49 15.391 -16 49 10.69 560552 304 C~1pQu 2015 05 23.10697 11 49 15.280 -16 49 08.27 560552 304 C~1pQu 2015 07 16.96978 11 50 10.604 -16 31 21.28 560552 304 C~1pQu 2015 07 17.97153 11 50 14.237 -16 31 20.05 560552 304 C~1pQu 2016 01 10.59671 12 03 38.232 -18 15 20.07 21.9G 560552 F51 C~2rYP 2016 01 10.60796 12 03 38.230 -18 15 20.31 22.6G 560552 F51 C~2rYP 2016 01 10.61920 12 03 38.213 -18 15 20.61 21.7G 560552 F51 C~2rYP 2016 01 10.63045 12 03 38.200 -18 15 20.94 22.8G 560552 F51 C~2rYP 2016 01 13.61214 12 03 35.009 -18 16 26.22 22.2G 560552 F51 C~2rYP 2016 02 12.53730 12 02 17.542 -18 20 57.84 21.9G 560552 F51 C~2rYP 2016 02 12.54825 12 02 17.504 -18 20 57.48 22.0G 560552 F51 C~2rYP 2016 02 12.55924 12 02 17.466 -18 20 57.53 22.1G 560552 F51 C~2rYP 2016 02 12.57022 12 02 17.446 -18 20 57.24 22.0G 560552 F51 C~2rYP 2016 02 20.48746 12 01 45.385 -18 20 09.79 21.8G 560552 F51 C~2rYP 2016 03 03.45043 12 00 50.81 -18 17 27.7 22.5R 560552 F51 C~1pQu 2016 03 03.46160 12 00 50.76 -18 17 27.5 22.4R 560552 F51 C~1pQu 2016 03 03.47267 12 00 50.70 -18 17 27.3 21.8R 560552 F51 C~1pQu 2016 03 03.48378 12 00 50.65 -18 17 27.3 22.4R 560552 F51 C~1pQu 2016 03 04.44847 12 00 46.00 -18 17 09.6 22.9R 560552 F51 C~1pQu 2016 03 04.45944 12 00 45.94 -18 17 09.2 22.1R 560552 F51 C~1pQu 2016 03 04.47043 12 00 45.89 -18 17 09.1 22.6R 560552 F51 C~1pQu 2016 03 04.48139 12 00 45.84 -18 17 08.9 22.0R 560552 F51 C~1pQu 2016 03 05.45545 12 00 41.10 -18 16 50.2 23.2R 560552 F51 C~1pQu 2016 03 05.46578 12 00 41.08 -18 16 50.3 21.8R 560552 F51 C~1pQu 2016 03 05.47611 12 00 41.02 -18 16 50.1 21.7R 560552 F51 C~1pQu 2016 03 05.48641 12 00 40.95 -18 16 49.8 22.6R 560552 F51 C~1pQu 2016 03 08.40548 12 00 26.644 -18 15 50.31 21.6r 560552 304 C~1pQu 2016 03 10.40413 12 00 16.754 -18 15 06.99 560552 304 C~1pQu 2016 03 28.22980 11 58 46.65 -18 06 57.0 23.7V 560552 W84 C~1qnP 2016 03 28.23674 11 58 46.65 -18 06 57.0 560552 W84 C~1qnP 2016 03 28.24368 11 58 46.64 -18 06 57.0 560552 W84 C~1qnP 2016 03 29.39359 11 58 40.813 -18 06 20.08 21.9G 560552 F51 C~2rYP 2016 03 30.20435 11 58 36.75 -18 05 52.5 560552 W84 C~1qnP 2016 03 30.21129 11 58 36.75 -18 05 52.4 560552 W84 C~1qnP 2016 03 30.21823 11 58 36.76 -18 05 52.4 560552 W84 C~1qnP 2016 04 01.27480 11 58 26.42 -18 04 44.3 560552 W84 C~1qnP 2016 04 01.28174 11 58 26.42 -18 04 44.2 560552 W84 C~1qnP 2016 04 01.28868 11 58 26.41 -18 04 44.4 560552 W84 C~1qnP 2016 05 06.26129 11 55 59.815 -17 43 01.60 21.7G 560552 F51 C~2rYP 2016 05 06.27224 11 55 59.789 -17 43 01.28 22.1G 560552 F51 C~2rYP 2016 05 06.28321 11 55 59.747 -17 43 00.80 21.9G 560552 F51 C~2rYP 2016 05 06.29426 11 55 59.712 -17 43 00.40 22.0G 560552 F51 C~2rYP 2016 06 05.26579 11 55 04.562 -17 25 52.31 22.2G 560552 F51 C~2rYP 2016 06 05.27617 11 55 04.561 -17 25 51.97 22.2G 560552 F51 C~2rYP 2016 06 05.28655 11 55 04.554 -17 25 51.77 22.2G 560552 F51 C~2rYP 2016 06 05.29693 11 55 04.541 -17 25 51.49 22.9G 560552 F51 C~2rYP 2017 03 05.47115 12 06 54.512 -18 59 51.28 22.0G 560552 F51 C~2rYP 2017 03 05.47501 12 06 54.486 -18 59 51.28 22.0G 560552 F51 C~2rYP 2017 03 05.48249 12 06 54.453 -18 59 51.05 22.0G 560552 F51 C~2rYP 2017 03 05.48636 12 06 54.433 -18 59 51.11 22.3G 560552 F51 C~2rYP 2017 03 05.49385 12 06 54.402 -18 59 50.82 22.1G 560552 F51 C~2rYP 2017 03 05.49771 12 06 54.392 -18 59 50.90 22.0G 560552 F51 C~2rYP 2017 03 05.50523 12 06 54.357 -18 59 50.54 22.1G 560552 F51 C~2rYP 2017 03 05.50908 12 06 54.333 -18 59 50.77 22.1G 560552 F51 C~2rYP 2017 03 17.48393 12 05 54.894 -18 55 28.46 22.4G 560552 F51 C~2rYP 2017 03 17.49529 12 05 54.839 -18 55 28.01 22.2G 560552 F51 C~2rYP 2017 03 17.50667 12 05 54.811 -18 55 27.84 22.8G 560552 F51 C~2rYP 2017 03 25.46644 12 05 14.328 -18 51 46.82 21.8G 560552 F51 C~2rYP 2017 03 25.47689 12 05 14.261 -18 51 46.58 21.6G 560552 F51 C~2rYP 2017 03 25.48734 12 05 14.202 -18 51 46.25 21.4G 560552 F51 C~2rYP 2017 03 25.49780 12 05 14.175 -18 51 45.78 21.6G 560552 F51 C~2rYP 2017 05 27.26192 12 01 18.936 -18 13 53.26 22.0G 560552 F51 C~2rYP 2017 05 27.27294 12 01 18.924 -18 13 52.66 22.1G 560552 F51 C~2rYP 2017 05 27.28395 12 01 18.896 -18 13 52.46 21.9G 560552 F51 C~2rYP 2017 05 27.29497 12 01 18.883 -18 13 52.28 23.2G 560552 F51 C~2rYP 2020 01 22.59403 12 27 58.706 -21 01 35.73 22.1w 560552 F51 C~3csv 2020 01 22.60497 12 27 58.702 -21 01 35.76 22.1w 560552 F51 C~3csv 2020 01 22.62679 12 27 58.662 -21 01 36.34 22.3w 560552 F51 C~3csv 2021 05 12.299041 12 26 40.378 -21 07 23.09 21.8w 560552 F51 C~4n9b 2021 05 12.310120 12 26 40.356 -21 07 22.65 21.8w 560552 F51 C~4n9b 2021 05 12.321164 12 26 40.291 -21 07 22.20 22.0w 560552 F51 C~4n9b 2021 05 12.332176 12 26 40.278 -21 07 21.78 22.1w 560552 F51 C~4n9b 2023 03 27.419826 12 42 51.278 -22 49 54.52 21.8w 560552 F51 C~6hCk 2023 03 27.441808 12 42 51.153 -22 49 53.74 22.1w 560552 F51 C~6hCk 2023 03 27.452797 12 42 51.085 -22 49 53.67 21.7w 560552 F51 C~6hCk
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 0.28 0.00 0.14
2 2.0859 0.00 -0.07 0.00 -0.04
3 2.0859 0.00 -0.32 0.00 0.03
4 2.0859 0.00 -0.09 0.00 0.01
5 2.0859 0.00 -0.22 0.00 0.14
6 2.0860 0.00 0.10 0.00 -0.01
7 2.0860 0.00 0.04 0.00 0.00
8 2.1569 0.00 -0.30 0.00 0.15
9 2.8724 0.00 0.15 0.00 -0.13
10 2.9761 0.00 -0.18 0.00 -0.07
11 2.9762 0.00 -0.19 0.00 -0.01
12 2.9762 0.00 0.09 0.00 -0.24
13 2.9762 0.00 -0.13 0.00 0.08
14 3.0688 0.00 0.22 0.00 0.09
15 3.0688 0.00 0.10 0.00 0.24
16 3.0689 0.00 0.05 0.00 0.19
17 3.0689 0.00 0.13 0.00 0.08
18 3.8743 0.00 0.05 0.00 0.05
19 3.9235 0.00 -0.22 0.00 -0.20
20 4.8874 0.00 -0.08 0.00 -0.17
21 4.8874 0.00 -0.12 0.00 -0.02
22 4.8874 0.00 0.02 0.00 0.20
23 4.8875 0.00 0.08 0.00 -0.21
24 4.9391 0.00 -0.01 0.00 -0.04
25 4.9391 0.00 0.07 0.00 -0.00
26 4.9391 0.00 0.14 0.00 -0.11
27 4.9392 0.00 0.06 0.00 -0.11
28 4.9419 0.00 0.05 0.00 -0.30
29 4.9419 0.00 -0.01 0.00 -0.28
30 4.9419 0.00 -0.08 0.00 -0.20
31 4.9420 0.00 0.02 0.00 -0.06
32 5.0129 0.00 0.31 0.00 0.08
33 5.0129 0.00 0.18 0.00 0.12
34 5.0129 0.00 0.09 0.00 0.01
35 5.0129 0.00 0.10 0.00 0.07
36 5.0184 0.00 0.07 0.00 -0.07
37 5.0184 0.00 0.26 0.00 -0.20
38 5.0185 0.00 0.21 0.00 0.18
39 5.0185 0.00 0.26 0.00 0.12
40 5.0830 0.00 -0.17 0.00 -0.08
41 5.0830 0.00 0.38 0.00 -0.09
42 5.0833 0.00 -0.14 0.00 -0.09
43 5.0833 0.00 0.07 0.00 -0.32
44 5.0836 0.00 0.18 0.00 -0.17
45 5.0836 0.00 -0.16 0.00 -0.04
46 5.1025 0.00 0.30 0.00 0.18
47 5.1028 0.00 0.19 0.00 0.22
48 5.1057 0.00 -0.17 0.00 -0.20
49 5.1926 0.00 0.57 0.00 0.01
50 5.1927 0.00 0.42 0.00 0.41
51 5.3429 0.00 -0.01 0.00 0.42
52 5.3457 0.00 0.40 0.00 0.20
53 5.8292 0.00 -0.23 0.00 -0.11
54 5.8293 0.00 -0.09 0.00 -0.09
55 5.8293 0.00 -0.17 0.00 -0.13
56 5.8293 0.00 -0.20 0.00 -0.20
57 5.8375 0.00 -0.05 0.00 -0.12
58 5.9194 0.00 -0.03 0.00 -0.17
59 5.9195 0.00 0.04 0.00 0.16
60 5.9195 0.00 0.11 0.00 0.08
61 5.9195 0.00 0.45 0.00 0.33
62 5.9412 0.00 -0.02 0.00 -0.11
63 5.9740 0.00 -0.32 0.00 -0.10
64 5.9740 0.00 -0.25 0.00 -0.10
65 5.9740 0.00 -0.34 0.00 -0.10
66 5.9740 0.00 -0.27 0.00 -0.30
67 5.9767 0.00 -0.33 0.00 -0.15
68 5.9767 0.00 -0.41 0.00 0.04
69 5.9767 0.00 -0.35 0.00 -0.06
70 5.9768 0.00 -0.29 0.00 -0.06
71 5.9794 0.00 -0.54 0.00 0.24
72 5.9795 0.00 -0.08 0.00 -0.06
73 5.9795 0.00 -0.21 0.00 -0.05
74 5.9795 0.00 -0.49 0.00 0.05
75 5.9875 0.00 -0.04 0.00 0.31
76 5.9930 0.00 0.51 0.00 0.02
77 6.0418 0.00 0.03 0.00 0.03
78 6.0418 0.00 0.57 0.00 -0.20
79 6.0418 0.00 0.95 0.00 -0.42
80 6.0450 0.00 -0.15 0.00 -0.29
81 6.0472 0.00 -0.30 0.00 0.69
82 6.0472 0.00 0.23 0.00 0.56
83 6.0472 0.00 0.91 0.00 0.34
84 6.0529 0.00 -0.93 0.00 0.26
85 6.0529 0.00 -0.41 0.00 0.12
86 6.0529 0.00 -0.03 0.00 -0.31
87 6.1487 0.00 -0.19 0.00 0.05
88 6.1487 0.00 -0.05 0.00 -0.04
89 6.1487 0.00 -0.15 0.00 0.02
90 6.1487 0.00 -0.14 0.00 0.00
91 6.2308 0.00 -0.06 0.00 0.05
92 6.2308 0.00 0.01 0.00 0.09
93 6.2309 0.00 -0.01 0.00 -0.01
94 6.2309 0.00 -0.12 0.00 -0.03
95 6.9788 0.00 0.03 0.00 -0.01
96 6.9788 0.00 -0.08 0.00 -0.08
97 6.9788 0.00 -0.02 0.00 0.01
98 6.9788 0.00 -0.03 0.00 -0.12
99 6.9789 0.00 0.05 0.00 0.04
100 6.9789 0.00 0.19 0.00 -0.11
101 6.9789 0.00 0.22 0.00 0.11
102 6.9789 0.00 0.14 0.00 -0.19
103 7.0117 0.00 -0.22 0.00 -0.04
104 7.0117 0.00 -0.17 0.00 0.11
105 7.0118 0.00 0.29 0.00 -0.01
106 7.0335 0.00 -0.11 0.00 0.02
107 7.0336 0.00 -0.30 0.00 -0.06
108 7.0336 0.00 -0.37 0.00 -0.04
109 7.0336 0.00 0.03 0.00 0.12
110 7.2055 0.00 -0.06 0.00 -0.03
111 7.2055 0.00 0.02 0.00 0.20
112 7.2055 0.00 -0.14 0.00 0.03
113 7.2056 0.00 -0.07 0.00 -0.16
114 9.8621 0.00 -0.03 0.00 -0.03
115 9.8621 0.00 0.17 0.00 0.14
116 9.8622 0.00 0.08 0.00 -0.03
117 11.1645 0.00 -0.05 0.00 -0.08
118 11.1645 0.00 0.19 0.00 -0.06
119 11.1646 0.00 -0.21 0.00 -0.04
120 11.1646 0.00 0.16 0.00 -0.04
121 13.0375 0.00 0.22 0.00 0.04
122 13.0376 0.00 0.07 0.00 0.27
123 13.0376 0.00 -0.09 0.00 0.06
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.
560552 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.203 44.203 44.203 ecceobj 0.142 0.142 0.142 incobj 16.365 16.365 16.365 qmin 37.317 37.323 37.313 qmax 51.784 51.787 51.784 amean 44.406 44.406 44.406 amin 44.039 44.037 44.040 amax 44.829 44.829 44.829 emean 0.142 0.142 0.142 emin 0.128 0.128 0.128 emax 0.157 0.157 0.157 imean 18.027 18.027 18.027 imin 17.519 17.519 17.519 imax 18.536 18.536 18.536 excite_mean 0.341 0.341 0.341 fracstop 1.000 1.000 1.000 cjmean 2.964 2.964 2.964 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 180.7 180.7 180.7 kozaiamp 180.0 180.0 179.9