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: 11BN170
# Created Tue Apr 1 01:09:16 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 118 observations of 118
# Arc: 14.10y
# First observation: 2011/01/24
# Last observation: 2025/03/02
# Chi-squared of fit: 142.69 DOF: 230 RMS: 0.19
# Min/Max residuals: -0.77 0.84
# Exact a, adot, b, bdot, g, gdot:
1.722738E-05 3.258285E-02 1.528525E-06 6.409122E-03 2.735591E-02 -7.557574E-03
# Covariance matrix:
1.1526E-13 -3.1751E-14 1.4733E-14 -5.2465E-15 -4.0660E-15 -4.6254E-14
-3.1751E-14 1.0541E-14 -5.3465E-15 1.8900E-15 -4.6256E-16 1.6684E-14
1.4733E-14 -5.3465E-15 4.2819E-14 -5.8346E-15 7.9003E-16 -9.1610E-15
-5.2465E-15 1.8900E-15 -5.8346E-15 1.1763E-15 -3.0075E-18 3.2409E-15
-4.0660E-15 -4.6256E-16 7.9003E-16 -3.0075E-18 3.8552E-14 -4.5379E-16
-4.6254E-14 1.6684E-14 -9.1610E-15 3.2409E-15 -4.5379E-16 2.8605E-14
# lat0 lon0 xBary yBary zBary JD0
5.965412 110.265965 -0.237344 0.099584 -0.953049 2455586.009496
# Heliocentric elements and errors
Epoch: 2455586.5000 = 2011/01/25
Mean Anomaly: 348.90962 +/- 0.001
Argument of Peri: 65.47623 +/- 0.002
Long of Asc Node: 83.18027 +/- 0.000
Inclination: 12.45678 +/- 0.000
Eccentricity: 0.50709502 +/- 0.0000
Semi-Major Axis: 70.81166103 +/- 0.0048
Time of Perihelion: 2462291.5124 +/- 21.4
Perihelion: 34.90342045 +/- 0.0031
Aphelion: 106.71990161 +/- 0.0075
Period (y) 595.8890 +/- 0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -13.14435806 +/- 0.0001
Ecliptic Y 34.92243829 +/- 0.0002
Ecliptic Z 3.79915233 +/- 0.0000
Ecliptic XDOT -0.00277647 +/- 0.0000
Ecliptic YDOT -0.00189168 +/- 0.0000
Ecliptic ZDOT 0.00055937 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.50727862 +/- 0.0002
Geocenter to KBO 36.55536809 +/- 0.0003
# Hcoef: 6.70
The following table shows the complete astrometric record for 11BN170. 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 (11BN170) followed by the observatory code and reference code for the source of the astrometry.
2011 01 24.50873 07 31 41.251 +27 48 22.74 21.9G 11BN170 F51 C~345R 2011 01 26.35348 07 31 30.663 +27 48 46.06 21.3G 11BN170 F51 C~345R 2011 01 30.28496 07 31 08.544 +27 49 35.02 21.9G 11BN170 F51 C~345R 2011 01 30.29936 07 31 08.467 +27 49 35.41 21.5G 11BN170 F51 C~345R 2011 01 30.31463 07 31 08.381 +27 49 35.57 21.6G 11BN170 F51 C~345R 2011 01 30.32895 07 31 08.291 +27 49 35.49 21.9G 11BN170 F51 C~345R 2011 04 24.28682 07 28 32.625 +27 48 43.22 22.1G 11BN170 F51 C~345R 2011 09 30.59025 07 45 25.683 +27 20 18.49 22.4G 11BN170 F51 C~345R 2011 11 26.62112 07 45 26.790 +27 32 53.46 20.4G 11BN170 F51 C~345R 2012 12 23.55868 07 52 11.857 +27 42 44.72 22.5G 11BN170 F51 C~345R 2012 12 23.57315 07 52 11.777 +27 42 45.08 22.7G 11BN170 F51 C~345R 2012 12 23.58764 07 52 11.708 +27 42 45.46 22.3G 11BN170 F51 C~345R 2012 12 23.60198 07 52 11.610 +27 42 45.63 22.8G 11BN170 F51 C~345R 2013 01 03.53012 07 51 10.934 +27 46 36.51 22.3G 11BN170 F51 C~345R 2013 01 03.53343 07 51 10.909 +27 46 37.42 23.0G 11BN170 F51 C~345R 2013 01 03.54248 07 51 10.844 +27 46 36.76 22.2G 11BN170 F51 C~345R 2013 01 03.55567 07 51 10.756 +27 46 37.39 22.2G 11BN170 F51 C~345R 2014 01 01.40051 08 00 20.505 +27 44 21.67 22.4G 11BN170 F51 C~345R 2014 01 01.41438 08 00 20.429 +27 44 21.99 22.3G 11BN170 F51 C~345R 2014 01 01.42823 08 00 20.343 +27 44 22.51 21.7G 11BN170 F51 C~345R 2014 01 01.44213 08 00 20.278 +27 44 22.58 22.3G 11BN170 F51 C~345R 2014 01 11.38852 07 59 22.715 +27 47 58.33 21.9G 11BN170 F51 C~345R 2014 01 11.40104 07 59 22.595 +27 47 58.11 22.2G 11BN170 F51 C~345R 2014 01 24.30680 07 58 05.823 +27 52 08.55 22.3G 11BN170 F51 C~345R 2014 01 24.31804 07 58 05.750 +27 52 08.46 22.3G 11BN170 F51 C~345R 2014 01 24.32929 07 58 05.679 +27 52 08.82 22.3G 11BN170 F51 C~345R 2014 01 24.34056 07 58 05.616 +27 52 08.95 22.5G 11BN170 F51 C~345R 2014 03 02.24516 07 54 56.514 +27 59 19.14 22.1G 11BN170 F51 C~345R 2014 03 02.25661 07 54 56.505 +27 59 19.40 22.8G 11BN170 F51 C~345R 2014 03 02.26808 07 54 56.434 +27 59 19.41 22.6G 11BN170 F51 C~345R 2014 11 21.51676 08 12 08.370 +27 24 40.26 22.6G 11BN170 F51 C~345R 2014 11 21.53067 08 12 08.337 +27 24 40.40 22.0G 11BN170 F51 C~345R 2014 11 21.54458 08 12 08.303 +27 24 40.73 22.4G 11BN170 F51 C~345R 2014 11 21.55847 08 12 08.284 +27 24 41.02 22.2G 11BN170 F51 C~345R 2014 12 29.55692 08 09 39.821 +27 39 30.59 22.3G 11BN170 F51 C~345R 2014 12 29.56877 08 09 39.761 +27 39 30.60 21.9G 11BN170 F51 C~345R 2014 12 29.58054 08 09 39.683 +27 39 30.83 22.4G 11BN170 F51 C~345R 2014 12 29.59231 08 09 39.620 +27 39 31.34 22.5G 11BN170 F51 C~345R 2015 01 24.40129 08 07 09.815 +27 49 03.75 22.3G 11BN170 F51 C~345R 2015 01 27.51267 08 06 51.315 +27 50 02.65 22.0G 11BN170 F51 C~345R 2015 01 27.52430 08 06 51.241 +27 50 02.94 22.7G 11BN170 F51 C~345R 2015 01 27.53593 08 06 51.178 +27 50 03.26 22.4G 11BN170 F51 C~345R 2015 01 27.54760 08 06 51.098 +27 50 03.57 22.8G 11BN170 F51 C~345R 2015 02 12.31237 08 05 21.578 +27 54 14.23 22.3G 11BN170 F51 C~345R 2015 02 13.28480 08 05 16.403 +27 54 26.95 22.6G 11BN170 F51 C~345R 2015 02 13.29812 08 05 16.336 +27 54 27.10 22.5G 11BN170 F51 C~345R 2015 02 13.31148 08 05 16.255 +27 54 27.49 22.4G 11BN170 F51 C~345R 2015 02 13.32491 08 05 16.178 +27 54 27.61 22.4G 11BN170 F51 C~345R 2015 02 23.26864 08 04 26.635 +27 56 15.51 22.9G 11BN170 F51 C~345R 2015 03 23.32008 08 02 52.779 +27 57 39.76 22.2G 11BN170 F51 C~345R 2015 03 23.33389 08 02 52.782 +27 57 39.56 22.7G 11BN170 F51 C~345R 2015 03 23.34880 08 02 52.732 +27 57 39.76 22.6G 11BN170 F51 C~345R 2015 03 23.36262 08 02 52.707 +27 57 39.58 22.6G 11BN170 F51 C~345R 2015 12 03.50930 08 20 39.985 +27 22 32.15 22.0G 11BN170 F51 C~345R 2015 12 03.52047 08 20 39.940 +27 22 32.50 23.0G 11BN170 F51 C~345R 2015 12 03.53161 08 20 39.904 +27 22 32.82 22.0G 11BN170 F51 C~345R 2015 12 03.54291 08 20 39.838 +27 22 33.06 22.3G 11BN170 F51 C~345R 2015 12 04.46282 08 20 37.001 +27 22 54.84 22.2G 11BN170 F51 C~345R 2015 12 04.47511 08 20 36.912 +27 22 55.20 22.3G 11BN170 F51 C~345R 2015 12 04.48736 08 20 36.856 +27 22 55.69 21.8G 11BN170 F51 C~345R 2015 12 04.49963 08 20 36.864 +27 22 55.62 22.1G 11BN170 F51 C~345R 2015 12 24.46268 08 19 14.807 +27 31 17.06 21.8G 11BN170 F51 C~345R 2016 01 14.50830 08 17 19.203 +27 40 00.32 22.3G 11BN170 F51 C~345R 2016 01 14.52183 08 17 19.125 +27 40 00.70 22.4G 11BN170 F51 C~345R 2016 01 14.53537 08 17 19.040 +27 40 00.92 22.2G 11BN170 F51 C~345R 2016 01 14.54905 08 17 18.966 +27 40 01.40 22.0G 11BN170 F51 C~345R 2016 02 04.30822 08 15 15.920 +27 47 13.16 22.7G 11BN170 F51 C~345R 2016 02 04.32031 08 15 15.853 +27 47 13.71 22.0G 11BN170 F51 C~345R 2016 02 04.33238 08 15 15.806 +27 47 13.67 21.8G 11BN170 F51 C~345R 2016 02 04.34456 08 15 15.712 +27 47 13.94 22.0G 11BN170 F51 C~345R 2016 03 04.23673 08 12 50.189 +27 53 01.23 22.3G 11BN170 F51 C~345R 2016 03 04.24903 08 12 50.129 +27 53 01.33 22.3G 11BN170 F51 C~345R 2016 03 04.26139 08 12 50.077 +27 53 01.37 22.5G 11BN170 F51 C~345R 2016 03 04.27383 08 12 50.027 +27 53 01.40 22.2G 11BN170 F51 C~345R 2016 03 13.23735 08 12 17.997 +27 53 36.22 22.5G 11BN170 F51 C~345R 2016 03 13.24894 08 12 17.961 +27 53 36.33 22.4G 11BN170 F51 C~345R 2016 03 13.26050 08 12 17.924 +27 53 36.35 21.9G 11BN170 F51 C~345R 2016 03 13.27210 08 12 17.866 +27 53 36.48 21.8G 11BN170 F51 C~345R 2017 01 06.59906 08 27 14.016 +27 29 04.73 22.3G 11BN170 F51 C~345R 2017 01 08.61690 08 27 02.654 +27 29 56.93 22.3G 11BN170 F51 C~345R 2017 01 09.58145 08 26 57.170 +27 30 22.03 22.4G 11BN170 F51 C~345R 2017 01 16.54547 08 26 16.728 +27 33 17.11 21.5G 11BN170 F51 C~345R 2017 01 18.53551 08 26 04.950 +27 34 05.03 22.3G 11BN170 F51 C~345R 2017 02 14.45295 08 23 28.020 +27 43 02.45 22.9G 11BN170 F51 C~345R 2017 04 08.28905 08 20 36.422 +27 45 47.64 22.4G 11BN170 F51 C~345R 2017 11 21.54589 08 39 20.627 +26 58 23.20 22.4G 11BN170 F51 C~345R 2017 11 21.55735 08 39 20.619 +26 58 23.47 22.4G 11BN170 F51 C~345R 2017 11 21.56882 08 39 20.587 +26 58 23.72 22.2G 11BN170 F51 C~345R 2017 12 13.47161 08 38 25.301 +27 07 23.14 22.1G 11BN170 F51 C~345R 2017 12 13.47614 08 38 25.304 +27 07 23.39 22.2G 11BN170 F51 C~345R 2017 12 13.48356 08 38 25.275 +27 07 23.55 22.0G 11BN170 F51 C~345R 2017 12 13.48807 08 38 25.284 +27 07 23.68 22.1G 11BN170 F51 C~345R 2017 12 13.49550 08 38 25.216 +27 07 23.93 22.0G 11BN170 F51 C~345R 2017 12 13.49999 08 38 25.208 +27 07 24.18 22.0G 11BN170 F51 C~345R 2017 12 13.50745 08 38 25.138 +27 07 24.25 22.1G 11BN170 F51 C~345R 2017 12 13.51198 08 38 25.160 +27 07 24.45 21.8G 11BN170 F51 C~345R 2018 01 13.43679 08 35 54.273 +27 21 38.96 20.6G 11BN170 F51 C~345R 2018 02 13.29989 08 32 53.307 +27 33 15.97 22.1G 11BN170 F51 C~345R 2020 01 27.48415 08 53 20.560 +27 00 16.72 21.8w 11BN170 F52 C~3cgl 2020 01 27.50772 08 53 20.420 +27 00 17.49 21.7w 11BN170 F52 C~3cgl 2020 01 27.51945 08 53 20.350 +27 00 17.66 21.8w 11BN170 F52 C~3cgl 2021 11 10.595564 09 16 04.229 +25 47 35.91 22.2w 11BN170 F51 C~5BKh 2021 11 10.606547 09 16 04.229 +25 47 36.16 22.3w 11BN170 F51 C~5BKh 2021 11 10.617512 09 16 04.262 +25 47 36.40 22.3w 11BN170 F51 C~5BKh 2022 12 02.529529 09 25 18.435 +25 32 10.39 22.0w 11BN170 F51 C~6720 2022 12 02.544053 09 25 18.421 +25 32 10.80 21.8w 11BN170 F51 C~6720 2022 12 02.558644 09 25 18.413 +25 32 11.37 22.1w 11BN170 F51 C~6720 2022 12 02.573248 09 25 18.387 +25 32 11.63 21.9w 11BN170 F51 C~6720 2024 01 31.546252 09 30 48.061 +25 38 32.54 21.7w 11BN170 F52 C~7lru 2024 01 31.556582 09 30 47.998 +25 38 32.89 21.8w 11BN170 F52 C~7lru 2024 01 31.566925 09 30 47.944 +25 38 33.31 21.8w 11BN170 F52 C~7lru 2024 01 31.577243 09 30 47.905 +25 38 33.65 21.9w 11BN170 F52 C~7lru 2025 01 05.443537 09 42 23.700 +24 56 55.99 21.9w 11BN170 F51 C~8ZeB 2025 01 05.469390 09 42 23.595 +24 56 57.01 21.9w 11BN170 F51 C~8ZeB 2025 01 05.482368 09 42 23.536 +24 56 57.54 22.0w 11BN170 F51 C~8ZeB 2025 03 02.303911 09 37 22.297 +25 25 22.88 22.1w 11BN170 F52 C~8iUJ 2025 03 02.314036 09 37 22.267 +25 25 23.21 22.1w 11BN170 F52 C~8iUJ 2025 03 02.324192 09 37 22.192 +25 25 23.46 22.0w 11BN170 F52 C~8iUJ
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 0.45 0.00 0.39
2 0.0051 0.00 -0.09 0.00 -0.42
3 0.0158 0.00 0.00 0.00 0.14
4 0.0159 0.00 0.06 0.00 0.35
5 0.0159 0.00 0.07 0.00 0.33
6 0.0159 0.00 -0.07 0.00 0.08
7 0.2458 0.00 -0.16 0.00 0.17
8 0.6819 0.00 -0.13 0.00 0.03
9 0.8381 0.00 0.01 0.00 0.61
10 1.9139 0.00 -0.10 0.00 -0.04
11 1.9139 0.00 -0.12 0.00 0.01
12 1.9140 0.00 0.01 0.00 0.09
13 1.9140 0.00 -0.30 0.00 -0.05
14 1.9439 0.00 0.33 0.00 -0.35
15 1.9439 0.00 0.25 0.00 0.49
16 1.9440 0.00 0.07 0.00 -0.35
17 1.9440 0.00 -0.09 0.00 0.01
18 2.9374 0.00 0.06 0.00 -0.19
19 2.9375 0.00 0.11 0.00 -0.19
20 2.9375 0.00 0.01 0.00 0.02
21 2.9375 0.00 0.23 0.00 -0.22
22 2.9648 0.00 0.35 0.00 0.31
23 2.9648 0.00 -0.32 0.00 -0.17
24 3.0001 0.00 0.04 0.00 0.11
25 3.0002 0.00 -0.05 0.00 -0.18
26 3.0002 0.00 -0.10 0.00 -0.03
27 3.0002 0.00 -0.02 0.00 -0.10
28 3.1013 0.00 -0.35 0.00 0.00
29 3.1013 0.00 0.19 0.00 0.20
30 3.1013 0.00 -0.20 0.00 0.16
31 3.8248 0.00 -0.05 0.00 0.02
32 3.8248 0.00 -0.10 0.00 -0.13
33 3.8249 0.00 -0.16 0.00 -0.10
34 3.8249 0.00 0.00 0.00 -0.10
35 3.9289 0.00 0.09 0.00 0.22
36 3.9290 0.00 0.17 0.00 -0.05
37 3.9290 0.00 -0.04 0.00 -0.10
38 3.9290 0.00 -0.01 0.00 0.13
39 3.9997 0.00 0.07 0.00 -0.06
40 4.0082 0.00 -0.01 0.00 -0.14
41 4.0083 0.00 -0.07 0.00 -0.06
42 4.0083 0.00 0.03 0.00 0.05
43 4.0083 0.00 -0.12 0.00 0.15
44 4.0515 0.00 -0.11 0.00 -0.33
45 4.0541 0.00 -0.11 0.00 -0.22
46 4.0542 0.00 -0.03 0.00 -0.25
47 4.0542 0.00 -0.17 0.00 -0.03
48 4.0543 0.00 -0.24 0.00 -0.09
49 4.0815 0.00 -0.44 0.00 0.13
50 4.1583 0.00 0.05 0.00 -0.01
51 4.1583 0.00 0.50 0.00 -0.17
52 4.1584 0.00 0.20 0.00 0.08
53 4.1584 0.00 0.23 0.00 -0.06
54 4.8569 0.00 0.26 0.00 -0.07
55 4.8570 0.00 0.12 0.00 0.01
56 4.8570 0.00 0.11 0.00 0.06
57 4.8570 0.00 -0.34 0.00 0.03
58 4.8596 0.00 0.20 0.00 -0.11
59 4.8596 0.00 -0.53 0.00 -0.05
60 4.8596 0.00 -0.77 0.00 0.14
61 4.8597 0.00 -0.05 0.00 -0.23
62 4.9143 0.00 0.41 0.00 0.28
63 4.9719 0.00 -0.03 0.00 -0.06
64 4.9720 0.00 0.01 0.00 0.00
65 4.9720 0.00 -0.05 0.00 -0.09
66 4.9720 0.00 0.07 0.00 0.07
67 5.0289 0.00 -0.15 0.00 -0.26
68 5.0289 0.00 -0.09 0.00 0.07
69 5.0289 0.00 0.27 0.00 -0.18
70 5.0290 0.00 -0.06 0.00 -0.13
71 5.1081 0.00 0.06 0.00 -0.00
72 5.1081 0.00 -0.08 0.00 0.02
73 5.1082 0.00 -0.10 0.00 -0.01
74 5.1082 0.00 -0.09 0.00 -0.06
75 5.1327 0.00 -0.09 0.00 -0.08
76 5.1328 0.00 -0.07 0.00 0.00
77 5.1328 0.00 -0.06 0.00 -0.00
78 5.1328 0.00 -0.37 0.00 0.11
79 5.9523 0.00 0.04 0.00 0.01
80 5.9579 0.00 -0.06 0.00 -0.19
81 5.9605 0.00 -0.12 0.00 0.04
82 5.9796 0.00 -0.02 0.00 0.27
83 5.9850 0.00 -0.14 0.00 -0.03
84 6.0587 0.00 -0.22 0.00 0.01
85 6.2034 0.00 0.02 0.00 -0.36
86 6.8256 0.00 0.09 0.00 -0.07
87 6.8256 0.00 0.20 0.00 -0.05
88 6.8256 0.00 -0.04 0.00 -0.05
89 6.8856 0.00 -0.07 0.00 -0.15
90 6.8856 0.00 0.23 0.00 -0.02
91 6.8856 0.00 0.22 0.00 -0.06
92 6.8856 0.00 0.61 0.00 -0.06
93 6.8857 0.00 0.01 0.00 -0.01
94 6.8857 0.00 0.14 0.00 0.12
95 6.8857 0.00 -0.48 0.00 -0.02
96 6.8857 0.00 0.11 0.00 0.06
97 6.9704 0.00 -0.26 0.00 0.24
98 7.0549 0.00 0.84 0.00 0.42
99 9.0075 0.00 0.03 0.00 -0.10
100 9.0075 0.00 0.07 0.00 0.04
101 9.0076 0.00 0.08 0.00 -0.10
102 10.7956 0.00 -0.11 0.00 -0.06
103 10.7956 0.00 -0.29 0.00 0.02
104 10.7956 0.00 0.02 0.00 0.09
105 11.8550 0.00 -0.07 0.00 -0.13
106 11.8550 0.00 -0.01 0.00 -0.09
107 11.8550 0.00 0.14 0.00 0.11
108 11.8551 0.00 0.03 0.00 0.01
109 13.0186 0.00 0.04 0.00 -0.05
110 13.0186 0.00 -0.00 0.00 -0.02
111 13.0186 0.00 0.09 0.00 0.08
112 13.0187 0.00 0.41 0.00 0.10
113 13.9492 0.00 -0.02 0.00 0.02
114 13.9492 0.00 0.07 0.00 0.14
115 13.9493 0.00 0.03 0.00 0.21
116 14.1021 0.00 -0.30 0.00 -0.05
117 14.1021 0.00 0.08 0.00 0.07
118 14.1022 0.00 -0.21 0.00 0.11
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.
11BN170 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 71.353 71.353 71.354 ecceobj 0.510 0.510 0.510 incobj 12.439 12.439 12.439 qmin 34.259 34.171 34.248 qmax 109.308 110.561 111.504 amean 70.236 70.683 71.236 amin 69.008 69.247 69.559 amax 72.090 72.861 73.303 emean 0.498 0.502 0.506 emin 0.483 0.487 0.491 emax 0.516 0.517 0.523 imean 12.012 11.731 11.840 imin 10.798 10.753 10.800 imax 13.252 12.852 13.137 excite_mean 0.540 0.542 0.546 fracstop 1.000 1.000 1.000 cjmean 3.019 3.020 3.019 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 181.5 177.1 176.7 kozaiamp 180.0 180.0 179.9