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: 531075 # Created Fri Apr 26 01:08:36 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 120 observations of 120 # Arc: 17.89y # First observation: 2005/06/01 # Last observation: 2023/04/24 # Chi-squared of fit: 128.93 DOF: 234 RMS: 0.18 # Min/Max residuals: -0.88 0.46 # Exact a, adot, b, bdot, g, gdot: 1.951021E-05 3.470626E-02 -5.098616E-06 -9.423602E-03 2.811104E-02 -4.312641E-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 10.660786 160.224108 -1.011877 -0.002230 0.012231 2453522.684469 # Heliocentric elements and errors Epoch: 2453522.5000 = 2005/06/01 Mean Anomaly: 355.52615 +/- 0.000 Argument of Peri: 160.47935 +/- 0.000 Long of Asc Node: 15.73977 +/- 0.000 Inclination: 18.66794 +/- 0.000 Eccentricity: 0.50791519 +/- 0.0000 Semi-Major Axis: 71.38525850 +/- 0.0000 Time of Perihelion: 2456260.2297 +/- 0.0 Perihelion: 35.12760112 +/- 0.0000 Aphelion: 107.64291587 +/- 0.0000 Period (y) 603.1440 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -33.23263175 +/- 0.0000 Ecliptic Y 10.87034153 +/- 0.0000 Ecliptic Z 6.58069689 +/- 0.0000 Ecliptic XDOT -0.00091413 +/- 0.0000 Ecliptic YDOT -0.00327008 +/- 0.0000 Ecliptic ZDOT -0.00097962 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.57924206 +/- 0.0000 Geocenter to KBO 35.57334844 +/- 0.0000 # Hcoef: 7.21
The following table shows the complete astrometric record for 531075. 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 (531075) followed by the observatory code and reference code for the source of the astrometry.
2005 06 01.183726 11 03 47.34 +17 34 37.9 22.4V 531075 645 C~2VVI 2005 06 01.184555 11 03 47.34 +17 34 37.8 22.3V 531075 645 C~2VVI 2005 06 01.187043 11 03 47.35 +17 34 37.8 23.5V 531075 645 C~2VVI 2010 06 30.28853 11 37 43.316 +10 41 56.56 22.9G 531075 F51 C~2rXs 2010 07 01.28455 11 37 45.915 +10 41 20.00 22.9G 531075 F51 C~2rXs 2010 12 15.56114 11 52 39.030 +08 50 43.41 22.4r 531075 F51 C~1vWc 2010 12 15.57016 11 52 39.036 +08 50 42.98 22.5w 531075 F51 C~1vWc 2010 12 15.59097 11 52 39.073 +08 50 43.24 22.4w 531075 F51 C~1vWc 2011 04 02.30764 11 46 58.842 +09 28 28.75 22.8G 531075 F51 C~2rXs 2011 04 02.32276 11 46 58.754 +09 28 29.35 22.2G 531075 F51 C~2rXs 2011 04 02.33893 11 46 58.677 +09 28 29.85 22.6G 531075 F51 C~2rXs 2011 04 02.35400 11 46 58.594 +09 28 30.18 22.2G 531075 F51 C~2rXs 2011 06 24.30116 11 43 57.729 +09 23 31.04 23.0G 531075 F51 C~2rXs 2012 02 26.40700 11 56 41.343 +07 46 50.97 22.3w 531075 F51 C~1vWc 2012 02 26.43582 11 56 41.185 +07 46 51.79 22.4w 531075 F51 C~1vWc 2012 02 26.45023 11 56 41.116 +07 46 51.99 22.5w 531075 F51 C~1vWc 2012 03 27.33691 11 54 04.609 +08 00 49.70 22.1w 531075 F51 C~1vWc 2012 03 27.35135 11 54 04.534 +08 00 50.20 22.3w 531075 F51 C~1vWc 2012 03 27.36579 11 54 04.458 +08 00 50.16 22.3w 531075 F51 C~1vWc 2012 03 27.38025 11 54 04.384 +08 00 50.65 22.1w 531075 F51 C~1vWc 2013 04 04.37291 12 00 00.533 +06 37 46.94 22.5w 531075 F51 C~1vWc 2013 04 04.38765 12 00 00.457 +06 37 47.26 22.6w 531075 F51 C~1vWc 2013 04 04.41709 12 00 00.297 +06 37 48.06 22.5w 531075 F51 C~1vWc 2014 02 10.53256 12 10 54.779 +04 47 30.50 22.6G 531075 F51 C~2rXs 2014 02 27.48530 12 09 42.396 +04 54 54.12 22.8w 531075 F51 C~1vWc 2014 02 27.49755 12 09 42.351 +04 54 54.50 22.5w 531075 F51 C~1vWc 2014 02 27.52220 12 09 42.217 +04 54 55.48 22.4w 531075 F51 C~1vWc 2014 04 23.33023 12 05 05.029 +05 17 32.45 22.6G 531075 F51 C~2rXs 2014 04 29.26288 12 04 40.232 +05 18 55.29 22.6w 531075 F51 C~1vWc 2014 04 29.27476 12 04 40.178 +05 18 55.49 22.3w 531075 F51 C~1vWc 2014 04 29.28667 12 04 40.124 +05 18 55.46 22.4w 531075 F51 C~1vWc 2014 04 30.26280 12 04 36.254 +05 19 06.76 22.7G 531075 F51 C~2rXs 2014 04 30.27500 12 04 36.187 +05 19 07.28 22.6G 531075 F51 C~2rXs 2014 04 30.28725 12 04 36.135 +05 19 07.55 23.3G 531075 F51 C~2rXs 2014 04 30.29956 12 04 36.111 +05 19 07.55 23.2G 531075 F51 C~2rXs 2014 05 17.41652 12 03 40.285 +05 20 57.54 21.9G 531075 F51 C~2rXs 2014 06 18.29736 12 03 07.892 +05 15 45.90 22.5G 531075 F51 C~2rXs 2014 11 29.64544 12 17 19.368 +03 20 01.37 22.4G 531075 F51 C~2rXs 2015 01 19.59152 12 18 21.433 +03 14 56.09 21.7G 531075 F51 C~2rXs 2015 01 19.60505 12 18 21.401 +03 14 56.65 22.5G 531075 F51 C~2rXs 2015 01 21.60604 12 18 18.173 +03 15 20.20 22.7G 531075 F51 C~2rXs 2015 01 21.61832 12 18 18.169 +03 15 20.14 22.4G 531075 F51 C~2rXs 2015 01 21.63063 12 18 18.145 +03 15 20.31 23.0G 531075 F51 C~2rXs 2015 01 21.64291 12 18 18.139 +03 15 20.43 23.0G 531075 F51 C~2rXs 2015 02 18.53316 12 16 54.464 +03 24 17.44 22.2G 531075 F51 C~2rXs 2015 02 18.54564 12 16 54.403 +03 24 17.79 22.4G 531075 F51 C~2rXs 2015 02 18.55810 12 16 54.354 +03 24 18.06 22.6G 531075 F51 C~2rXs 2015 02 18.57059 12 16 54.295 +03 24 18.56 23.5G 531075 F51 C~2rXs 2015 02 19.50563 12 16 50.428 +03 24 41.93 22.9G 531075 F51 C~2rXs 2015 02 19.51806 12 16 50.375 +03 24 42.44 22.9G 531075 F51 C~2rXs 2015 02 19.53055 12 16 50.308 +03 24 42.41 23.2G 531075 F51 C~2rXs 2015 03 23.47985 12 14 13.312 +03 39 16.26 22.3G 531075 F51 C~2rXs 2015 03 23.49242 12 14 13.257 +03 39 16.68 22.2G 531075 F51 C~2rXs 2015 03 23.51756 12 14 13.106 +03 39 17.36 531075 F51 C~2rXs 2015 03 24.41786 12 14 08.341 +03 39 42.05 22.2w 531075 F51 C~1vWc 2015 03 24.43232 12 14 08.283 +03 39 42.61 22.5w 531075 F51 C~1vWc 2015 03 24.46132 12 14 08.103 +03 39 43.13 22.1w 531075 F51 C~1vWc 2015 05 21.26125 12 09 59.884 +03 55 31.09 23.0G 531075 F51 C~2rXs 2015 05 21.27554 12 09 59.856 +03 55 31.42 23.0G 531075 F51 C~2rXs 2015 05 21.28989 12 09 59.836 +03 55 31.71 23.3G 531075 F51 C~2rXs 2015 05 21.30420 12 09 59.793 +03 55 31.32 23.0G 531075 F51 C~2rXs 2015 05 22.29691 12 09 57.472 +03 55 32.21 22.8G 531075 F51 C~2rXs 2016 03 07.47571 12 22 03.089 +02 05 29.01 22.8G 531075 F51 C~2rXs 2016 03 14.48715 12 21 27.597 +02 08 42.33 22.7G 531075 F51 C~2rXs 2016 03 29.44481 12 20 08.894 +02 15 30.28 22.7G 531075 F51 C~2rXs 2016 12 13.64958 12 30 37.574 +00 27 54.93 23.5G 531075 F51 C~2rXs 2017 01 27.66000 12 30 53.669 +00 25 40.90 22.7G 531075 F51 C~2rXs 2017 02 23.55008 12 29 27.35 +00 33 52.2 22.8r 531075 T09 C~7uOD 2017 02 23.61866 12 29 27.06 +00 33 53.8 22.8r 531075 T09 C~7uOD 2017 02 23.64828 12 29 26.92 +00 33 54.5 22.9r 531075 T09 C~7uOD 2017 03 04.44719 12 28 47.354 +00 37 33.36 22.9G 531075 F51 C~2rXs 2017 03 04.44785 12 28 47.346 +00 37 33.29 22.6G 531075 F51 C~2rXs 2017 03 04.45938 12 28 47.280 +00 37 33.93 23.2G 531075 F51 C~2rXs 2017 03 04.46007 12 28 47.261 +00 37 33.90 22.0G 531075 F51 C~2rXs 2017 03 04.47157 12 28 47.204 +00 37 33.93 22.4G 531075 F51 C~2rXs 2017 03 04.47225 12 28 47.199 +00 37 33.78 22.3G 531075 F51 C~2rXs 2017 03 04.48385 12 28 47.133 +00 37 34.48 23.0G 531075 F51 C~2rXs 2017 03 04.48452 12 28 47.174 +00 37 34.18 22.5G 531075 F51 C~2rXs 2017 03 19.37294 12 27 32.622 +00 44 13.78 22.3G 531075 F51 C~2rXs 2017 03 19.38506 12 27 32.565 +00 44 14.39 22.6G 531075 F51 C~2rXs 2017 03 19.39716 12 27 32.495 +00 44 14.65 22.5G 531075 F51 C~2rXs 2017 03 19.40924 12 27 32.440 +00 44 14.82 22.4G 531075 F51 C~2rXs 2017 03 20.34212 12 27 27.581 +00 44 40.32 22.7G 531075 F51 C~2rXs 2017 03 20.35393 12 27 27.522 +00 44 40.41 22.1G 531075 F51 C~2rXs 2017 03 20.37763 12 27 27.389 +00 44 40.39 21.5G 531075 F51 C~2rXs 2017 03 29.39468 12 26 39.848 +00 48 45.44 22.5G 531075 F51 C~2rXs 2017 03 29.40695 12 26 39.775 +00 48 45.51 22.2G 531075 F51 C~2rXs 2017 03 29.41928 12 26 39.696 +00 48 45.71 22.5G 531075 F51 C~2rXs 2017 03 29.43286 12 26 39.640 +00 48 46.41 22.1G 531075 F51 C~2rXs 2017 04 03.46088 12 26 13.127 +00 50 58.14 22.1G 531075 F51 C~2rXs 2017 04 03.47477 12 26 13.054 +00 50 58.42 23.0G 531075 F51 C~2rXs 2017 04 03.48872 12 26 12.967 +00 50 58.85 22.1G 531075 F51 C~2rXs 2017 04 03.50266 12 26 12.904 +00 50 59.03 22.5G 531075 F51 C~2rXs 2017 04 16.30618 12 25 07.539 +00 56 08.44 22.6G 531075 F51 C~2rXs 2017 04 16.31825 12 25 07.485 +00 56 08.76 22.7G 531075 F51 C~2rXs 2017 04 16.33031 12 25 07.429 +00 56 08.89 22.8G 531075 F51 C~2rXs 2017 04 16.34237 12 25 07.359 +00 56 09.32 22.3G 531075 F51 C~2rXs 2017 04 20.36624 12 24 47.883 +00 57 35.95 22.7G 531075 F51 C~2rXs 2017 04 20.37693 12 24 47.864 +00 57 36.03 22.6G 531075 F51 C~2rXs 2017 04 20.38759 12 24 47.800 +00 57 36.24 22.8G 531075 F51 C~2rXs 2017 04 20.39826 12 24 47.745 +00 57 36.54 22.6G 531075 F51 C~2rXs 2017 04 27.30810 12 24 16.076 +00 59 50.26 22.3G 531075 F51 C~2rXs 2017 04 27.32180 12 24 16.022 +00 59 50.46 22.4G 531075 F51 C~2rXs 2017 04 27.33554 12 24 15.977 +00 59 50.82 22.5G 531075 F51 C~2rXs 2017 04 27.34933 12 24 15.906 +00 59 50.97 22.2G 531075 F51 C~2rXs 2018 03 10.44657 12 34 46.167 -00 46 05.02 22.3G 531075 F51 C~2rXs 2018 03 17.48177 12 34 10.873 -00 42 59.60 21.9G 531075 F51 C~2rXs 2018 03 18.40715 12 34 06.126 -00 42 34.82 22.6G 531075 F51 C~2rXs 2018 03 18.41896 12 34 06.059 -00 42 34.54 22.5G 531075 F51 C~2rXs 2018 03 18.43083 12 34 05.997 -00 42 34.37 22.5G 531075 F51 C~2rXs 2018 03 18.44268 12 34 05.928 -00 42 33.68 22.7G 531075 F51 C~2rXs 2018 03 19.39569 12 34 01.063 -00 42 08.40 23.0G 531075 F51 C~2rXs 2018 03 19.40860 12 34 00.918 -00 42 07.58 23.6G 531075 F51 C~2rXs 2018 03 19.43464 12 34 00.819 -00 42 07.46 22.6G 531075 F51 C~2rXs 2021 05 08.302089 12 49 01.133 -04 37 18.82 22.4w 531075 F51 C~4pOy 2021 05 08.315979 12 49 01.073 -04 37 18.22 22.5w 531075 F51 C~4pOy 2021 05 08.329888 12 49 01.014 -04 37 18.01 22.4w 531075 F51 C~4pOy 2023 04 24.154480 13 02 45.394 -07 28 30.49 22.7G 531075 G37 C~6moL 2023 04 24.216470 13 02 45.085 -07 28 28.67 531075 G37 C~6moL 2023 04 24.276610 13 02 44.786 -07 28 27.51 531075 G37 C~6moL
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 -0.04
2 0.0000 0.00 -0.02 0.00 -0.11
3 0.0000 0.00 0.11 0.00 -0.04
4 5.0790 0.00 -0.01 0.00 -0.01
5 5.0817 0.00 -0.15 0.00 0.15
6 5.5397 0.00 -0.18 0.00 -0.08
7 5.5397 0.00 -0.28 0.00 -0.49
8 5.5398 0.00 -0.19 0.00 -0.19
9 5.8347 0.00 0.08 0.00 -0.27
10 5.8347 0.00 -0.05 0.00 0.00
11 5.8348 0.00 0.06 0.00 0.15
12 5.8348 0.00 -0.00 0.00 0.15
13 6.0619 0.00 -0.13 0.00 -0.12
14 6.7385 0.00 0.13 0.00 0.16
15 6.7385 0.00 -0.09 0.00 0.14
16 6.7386 0.00 -0.05 0.00 -0.09
17 6.8204 0.00 -0.11 0.00 0.23
18 6.8204 0.00 -0.07 0.00 0.37
19 6.8205 0.00 -0.04 0.00 -0.03
20 6.8205 0.00 0.02 0.00 0.10
21 7.8417 0.00 -0.03 0.00 0.01
22 7.8418 0.00 -0.01 0.00 -0.01
23 7.8418 0.00 -0.10 0.00 0.12
24 8.6964 0.00 0.11 0.00 -0.07
25 8.7428 0.00 0.07 0.00 0.03
26 8.7428 0.00 0.29 0.00 0.06
27 8.7429 0.00 0.08 0.00 0.36
28 8.8929 0.00 0.04 0.00 -0.04
29 8.9092 0.00 0.28 0.00 0.12
30 8.9092 0.00 0.20 0.00 0.18
31 8.9092 0.00 0.12 0.00 0.00
32 8.9119 0.00 -0.04 0.00 -0.39
33 8.9120 0.00 -0.31 0.00 -0.02
34 8.9120 0.00 -0.36 0.00 0.11
35 8.9120 0.00 0.03 0.00 -0.03
36 8.9589 0.00 0.01 0.00 -0.25
37 9.0462 0.00 -0.12 0.00 0.16
38 9.4961 0.00 -0.09 0.00 -0.25
39 9.6356 0.00 0.03 0.00 -0.44
40 9.6357 0.00 -0.12 0.00 -0.03
41 9.6411 0.00 -0.17 0.00 0.06
42 9.6412 0.00 0.10 0.00 -0.16
43 9.6412 0.00 0.08 0.00 -0.14
44 9.6412 0.00 0.32 0.00 -0.17
45 9.7176 0.00 0.10 0.00 -0.15
46 9.7176 0.00 -0.02 0.00 -0.11
47 9.7177 0.00 0.03 0.00 -0.14
48 9.7177 0.00 -0.06 0.00 0.04
49 9.7203 0.00 0.14 0.00 0.05
50 9.7203 0.00 0.15 0.00 0.25
51 9.7203 0.00 -0.05 0.00 -0.10
52 9.8078 0.00 0.03 0.00 0.05
53 9.8078 0.00 0.22 0.00 0.12
54 9.8079 0.00 -0.01 0.00 0.12
55 9.8104 0.00 0.10 0.00 0.29
56 9.8104 0.00 0.40 0.00 0.46
57 9.8105 0.00 0.06 0.00 0.19
58 9.9687 0.00 -0.14 0.00 -0.36
59 9.9688 0.00 -0.03 0.00 -0.04
60 9.9688 0.00 0.21 0.00 0.24
61 9.9688 0.00 0.09 0.00 -0.16
62 9.9716 0.00 0.01 0.00 0.26
63 10.7660 0.00 -0.18 0.00 -0.01
64 10.7852 0.00 0.34 0.00 0.16
65 10.8262 0.00 0.11 0.00 0.24
66 11.5358 0.00 0.29 0.00 -0.02
67 11.6591 0.00 0.12 0.00 -0.02
68 11.7327 0.00 -0.11 0.00 0.15
69 11.7329 0.00 0.00 0.00 0.12
70 11.7330 0.00 -0.18 0.00 0.12
71 11.7571 0.00 0.15 0.00 -0.04
72 11.7571 0.00 0.08 0.00 -0.12
73 11.7571 0.00 -0.07 0.00 0.22
74 11.7571 0.00 -0.31 0.00 0.17
75 11.7571 0.00 -0.33 0.00 -0.10
76 11.7571 0.00 -0.36 0.00 -0.27
77 11.7572 0.00 -0.51 0.00 0.13
78 11.7572 0.00 0.16 0.00 -0.18
79 11.7979 0.00 -0.13 0.00 -0.07
80 11.7980 0.00 -0.02 0.00 0.21
81 11.7980 0.00 -0.10 0.00 0.14
82 11.7980 0.00 0.03 0.00 -0.02
83 11.8006 0.00 0.11 0.00 0.02
84 11.8006 0.00 0.17 0.00 -0.22
85 11.8007 0.00 0.06 0.00 -0.88
86 11.8254 0.00 0.20 0.00 0.29
87 11.8254 0.00 0.10 0.00 0.03
88 11.8254 0.00 -0.09 0.00 -0.10
89 11.8255 0.00 0.17 0.00 0.24
90 11.8392 0.00 0.10 0.00 0.13
91 11.8393 0.00 0.12 0.00 0.06
92 11.8393 0.00 -0.07 0.00 0.13
93 11.8393 0.00 0.10 0.00 -0.05
94 11.8744 0.00 -0.04 0.00 0.01
95 11.8744 0.00 0.05 0.00 0.06
96 11.8745 0.00 0.12 0.00 -0.08
97 11.8745 0.00 -0.02 0.00 0.08
98 11.8855 0.00 -0.20 0.00 0.08
99 11.8855 0.00 0.29 0.00 -0.06
100 11.8856 0.00 0.11 0.00 -0.08
101 11.8856 0.00 0.06 0.00 0.00
102 11.9045 0.00 -0.12 0.00 -0.01
103 11.9046 0.00 -0.01 0.00 -0.06
104 11.9046 0.00 0.25 0.00 0.06
105 11.9046 0.00 0.11 0.00 -0.04
106 12.7728 0.00 -0.38 0.00 0.14
107 12.7921 0.00 -0.10 0.00 -0.07
108 12.7946 0.00 -0.11 0.00 -0.08
109 12.7946 0.00 -0.19 0.00 -0.11
110 12.7947 0.00 -0.19 0.00 -0.26
111 12.7947 0.00 -0.29 0.00 0.11
112 12.7973 0.00 0.42 0.00 -0.19
113 12.7973 0.00 -0.73 0.00 0.29
114 12.7974 0.00 -0.16 0.00 -0.29
115 15.9346 0.00 0.07 0.00 -0.12
116 15.9347 0.00 0.05 0.00 0.23
117 15.9347 0.00 0.05 0.00 0.18
118 17.8945 0.00 -0.13 0.00 -0.22
119 17.8947 0.00 -0.04 0.00 0.11
120 17.8948 0.00 0.06 0.00 -0.17
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.
531075 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 70.028 70.027 70.028 ecceobj 0.498 0.498 0.498 incobj 18.729 18.729 18.729 qmin 33.428 33.478 33.428 qmax 109.096 108.622 110.303 amean 70.273 70.084 70.742 amin 69.100 69.007 69.618 amax 71.715 71.686 72.467 emean 0.508 0.504 0.513 emin 0.487 0.486 0.493 emax 0.524 0.522 0.527 imean 17.785 18.156 17.465 imin 16.750 17.028 16.696 imax 19.064 19.423 19.039 excite_mean 0.593 0.592 0.594 fracstop 1.000 1.000 1.000 cjmean 2.935 2.934 2.936 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 181.2 205.4 183.9 kozaiamp 180.0 180.0 179.9