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: 80806 # Created Tue Nov 19 02:06:49 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 125 observations of 125 # Arc: 23.11y # First observation: 2000/02/06 # Last observation: 2023/03/18 # Chi-squared of fit: 226.49 DOF: 244 RMS: 0.24 # Min/Max residuals: -0.68 0.89 # Exact a, adot, b, bdot, g, gdot: 1.486424E-05 2.400918E-02 -8.315257E-08 2.214172E-05 2.456810E-02 1.551795E-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 3.846930 134.748439 -0.042421 0.066086 -0.985984 2451580.798323 # Heliocentric elements and errors Epoch: 2451580.5000 = 2000/02/06 Mean Anomaly: 75.84030 +/- 0.000 Argument of Peri: 5.56893 +/- 0.000 Long of Asc Node: 45.48452 +/- 0.000 Inclination: 3.75633 +/- 0.000 Eccentricity: 0.06984588 +/- 0.0000 Semi-Major Axis: 42.20961426 +/- 0.0000 Time of Perihelion: 2430479.0131 +/- 0.0 Perihelion: 39.26144681 +/- 0.0000 Aphelion: 45.15778171 +/- 0.0000 Period (y) 274.2365 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -29.30959304 +/- 0.0000 Ecliptic Y 29.51704105 +/- 0.0000 Ecliptic Z 2.73083136 +/- 0.0000 Ecliptic XDOT -0.00202723 +/- 0.0000 Ecliptic YDOT -0.00175403 +/- 0.0000 Ecliptic ZDOT 0.00001417 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.68647018 +/- 0.0000 Geocenter to KBO 40.70318234 +/- 0.0000 # Hcoef: 6.67
The following table shows the complete astrometric record for 80806. 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 (80806) followed by the observatory code and reference code for the source of the astrometry.
2000 02 06.29758 09 13 38.01 +20 05 07.7 22.1R 80806 695 Cb1115 2000 02 06.42649 09 13 37.33 +20 05 10.5 80806 695 Cb1115 2000 03 01.11833 09 11 41.94 +20 13 02.4 22.1R 80806 695 Cb1115 2000 03 01.20021 09 11 41.55 +20 13 03.8 80806 695 Cb1115 2000 03 01.32049 09 11 40.99 +20 13 05.3 80806 695 Cb1115 2000 12 21.49799 09 22 32.52 +19 23 17.2 80806 568 Cc3758 2000 12 21.62890 09 22 32.11 +19 23 19.8 80806 568 Cc3758 2000 12 22.60977 09 22 29.12 +19 23 37.9 23.2R 80806 568 Cc3758 2001 02 21.20946 09 17 54.57 +19 45 53.4 22.5R 80806 688 Cc6636 2001 02 21.25983 09 17 54.28 +19 45 54.4 80806 688 Cc6636 2001 02 25.36154 09 17 34.77 +19 47 14.3 22.5R 80806 568 Cd0809 2001 02 25.41685 09 17 34.51 +19 47 15.3 80806 568 Cd0809 2001 03 26.10639 09 15 41.35 +19 54 01.5 20.2 80806 304 Ce8743 2001 03 26.13061 09 15 41.26 +19 54 01.6 80806 304 Ce8743 2001 04 26.28050 09 14 49.94 +19 55 04.0 22.6R 80806 568 Cd0809 2001 04 26.36598 09 14 49.92 +19 55 03.7 80806 568 Cd0809 2001 04 27.26924 09 14 49.79 +19 54 58.9 80806 568 Cd0809 2002 02 06.51755 09 24 40.79 +19 15 07.0 22.0R 80806 568 Cf1711 2002 02 06.56619 09 24 40.55 +19 15 08.0 80806 568 Cf1711 2002 02 13.17623 09 24 07.54 +19 17 40.0 21.7R 80806 304 f1711 2002 02 13.22398 09 24 07.29 +19 17 41.1 80806 304 f1711 2004 03 18.21534 09 32 32.95 +18 36 13.1 22.6R 80806 688 Ck2009 2004 03 18.29870 09 32 32.65 +18 36 14.2 80806 688 Ck2009 2005 03 12.208265 09 38 21.66 +18 07 59.6 22.5V 80806 645 C~1PwS 2005 03 12.209094 09 38 21.66 +18 07 59.6 22.5V 80806 645 C~1PwS 2005 03 12.211582 09 38 21.65 +18 07 59.6 23.5V 80806 645 C~1PwS 2005 11 05.93393 09 49 39.34 +17 05 11.4 22.8R 80806 250 S~06GJ 2005 11 05.94064 09 49 39.35 +17 05 11.3 80806 250 S~06GJ 2005 11 05.94735 09 49 39.37 +17 05 11.3 80806 250 S~06GJ 2007 10 25.66571 09 59 21.80 +16 11 53.7 23.4R 80806 250 S~06GJ 2007 10 25.67335 09 59 21.82 +16 11 53.6 80806 250 S~06GJ 2007 10 25.68098 09 59 21.84 +16 11 53.5 80806 250 S~06GJ 2007 10 25.68862 09 59 21.87 +16 11 53.4 80806 250 S~06GJ 2007 10 28.12960 09 59 29.27 +16 11 26.8 80806 250 S~06GJ 2007 10 28.13723 09 59 29.29 +16 11 26.7 80806 250 S~06GJ 2007 10 28.15321 09 59 29.34 +16 11 26.6 80806 250 S~06GJ 2007 12 11.95599 10 00 08.11 +16 12 09.8 80806 250 S~06GJ 2007 12 11.96362 10 00 08.10 +16 12 09.9 80806 250 S~06GJ 2007 12 11.97126 10 00 08.09 +16 12 09.9 80806 250 S~06GJ 2007 12 11.97890 10 00 08.08 +16 12 10.0 80806 250 S~06GJ 2008 01 08.46073 09 59 01.27 +16 20 09.5 80806 250 S~06GJ 2008 01 08.46698 09 59 01.25 +16 20 09.6 80806 250 S~06GJ 2008 01 08.47462 09 59 01.21 +16 20 09.9 80806 250 S~06GJ 2008 01 08.52462 09 59 01.04 +16 20 11.0 80806 250 S~06GJ 2008 01 08.53365 09 59 01.01 +16 20 11.2 80806 250 S~06GJ 2008 01 08.54337 09 59 00.97 +16 20 11.4 80806 250 S~06GJ 2008 01 08.58990 09 59 00.82 +16 20 12.4 80806 250 S~06GJ 2008 01 08.59615 09 59 00.79 +16 20 12.5 80806 250 S~06GJ 2012 02 03.543602 10 17 45.971 +14 34 16.02 23.0G 80806 F51 C~41y2 2012 02 03.556502 10 17 45.914 +14 34 16.28 22.2G 80806 F51 C~41y2 2012 02 15.356053 10 16 51.800 +14 39 30.40 22.6G 80806 F51 C~41y2 2012 02 15.369927 10 16 51.747 +14 39 30.60 22.7G 80806 F51 C~41y2 2012 02 15.383786 10 16 51.674 +14 39 30.86 22.7G 80806 F51 C~41y2 2012 02 15.397810 10 16 51.616 +14 39 31.52 23.1G 80806 F51 C~41y2 2014 02 10.391407 10 27 17.557 +13 37 12.16 22.0G 80806 F51 C~41y2 2014 02 10.403269 10 27 17.528 +13 37 12.11 22.2G 80806 F51 C~41y2 2014 02 10.415156 10 27 17.465 +13 37 12.78 22.8G 80806 F51 C~41y2 2014 02 10.427025 10 27 17.398 +13 37 12.96 22.0G 80806 F51 C~41y2 2014 02 26.349221 10 26 03.604 +13 44 19.11 23.7G 80806 F51 C~41y2 2014 02 26.361143 10 26 03.544 +13 44 19.47 22.5G 80806 F51 C~41y2 2014 02 26.384976 10 26 03.410 +13 44 20.15 22.2G 80806 F51 C~41y2 2014 05 21.320510 10 22 13.526 +14 00 34.63 23.3G 80806 F51 C~41y2 2014 06 17.266975 10 22 56.321 +13 54 01.79 23.2G 80806 F51 C~41y2 2014 11 27.561608 10 35 02.134 +12 45 36.81 23.7G 80806 F51 C~41y2 2014 11 29.559451 10 35 03.797 +12 45 37.62 23.6G 80806 F51 C~41y2 2015 01 20.431207 10 33 43.448 +12 57 26.07 23.2G 80806 F51 C~41y2 2015 01 20.449797 10 33 43.387 +12 57 26.79 22.7G 80806 F51 C~41y2 2015 01 20.463220 10 33 43.340 +12 57 26.96 22.8G 80806 F51 C~41y2 2015 01 20.476664 10 33 43.270 +12 57 27.33 23.1G 80806 F51 C~41y2 2015 01 22.448622 10 33 36.149 +12 58 14.60 22.5G 80806 F51 C~41y2 2015 01 22.462215 10 33 36.105 +12 58 15.06 22.7G 80806 F51 C~41y2 2015 01 22.475824 10 33 36.049 +12 58 15.48 23.1G 80806 F51 C~41y2 2015 01 22.489536 10 33 35.994 +12 58 15.72 22.5G 80806 F51 C~41y2 2015 02 01.424712 10 32 56.977 +13 02 27.82 23.0G 80806 F51 C~41y2 2015 02 25.276840 10 31 09.86 +13 13 10.8 80806 W84 C~3oE3 2015 02 25.286979 10 31 09.82 +13 13 11.0 80806 W84 C~3oE3 2015 02 25.287639 10 31 09.83 +13 13 11.2 80806 W84 C~3oE3 2015 02 25.288287 10 31 09.80 +13 13 11.4 80806 W84 C~3oE3 2015 03 15.307105 10 29 47.605 +13 20 43.17 22.5G 80806 F51 C~41y2 2015 03 15.319872 10 29 47.559 +13 20 43.51 22.7G 80806 F51 C~41y2 2015 03 15.332460 10 29 47.506 +13 20 43.62 22.1G 80806 F51 C~41y2 2015 03 15.345124 10 29 47.444 +13 20 44.17 22.4G 80806 F51 C~41y2 2015 04 10.253570 10 28 08.901 +13 28 46.08 23.3G 80806 F51 C~41y2 2016 01 14.335822 10 38 59.94 +12 24 11.4 80806 W84 C~3oE3 2016 01 14.336800 10 38 59.94 +12 24 11.2 80806 W84 C~3oE3 2016 02 11.382492 10 37 12.399 +12 35 54.99 23.1G 80806 F51 C~41y2 2016 03 06.365824 10 35 22.498 +12 46 39.02 22.5G 80806 F51 C~41y2 2016 03 10.343277 10 35 04.437 +12 48 18.81 22.7G 80806 F51 C~41y2 2016 05 05.350084 10 32 08.755 +13 01 44.49 22.6G 80806 F51 C~41y2 2017 01 28.277745 10 43 02.81 +11 58 54.3 80806 W84 C~3oE3 2017 01 28.278772 10 43 02.81 +11 58 54.5 80806 W84 C~3oE3 2017 03 05.346487 10 40 24.313 +12 15 04.72 22.8G 80806 F51 C~41y2 2017 03 16.105874 10 39 35.98 +12 19 34.5 80806 W84 C~3oE3 2017 03 16.136076 10 39 35.84 +12 19 34.9 80806 W84 C~3oE3 2017 05 14.988684 10 36 52.97 +12 31 20.9 80806 W84 C~3oE3 2017 05 14.994822 10 36 52.94 +12 31 20.6 80806 W84 C~3oE3 2017 05 14.995844 10 36 52.97 +12 31 21.2 80806 W84 C~3oE3 2018 01 15.477008 10 48 38.981 +11 22 30.38 22.8G 80806 F51 C~41y2 2018 01 15.489313 10 48 38.947 +11 22 30.73 23.5G 80806 F51 C~41y2 2018 01 15.501669 10 48 38.907 +11 22 31.07 22.7G 80806 F51 C~41y2 2018 01 15.514148 10 48 38.867 +11 22 31.21 23.2G 80806 F51 C~41y2 2018 02 12.409706 10 46 54.096 +11 34 10.94 23.1G 80806 F51 C~41y2 2018 02 12.421405 10 46 54.049 +11 34 11.31 22.6G 80806 F51 C~41y2 2018 02 12.433115 10 46 53.997 +11 34 11.65 22.4G 80806 F51 C~41y2 2018 02 12.444952 10 46 53.932 +11 34 11.98 22.8G 80806 F51 C~41y2 2018 03 18.170845 10 44 21.75 +11 49 08.4 80806 W84 C~3oE3 2018 03 18.172326 10 44 21.73 +11 49 08.3 80806 W84 C~3oE3 2018 03 18.331300 10 44 21.046 +11 49 12.25 22.8G 80806 F51 C~41y2 2019 02 04.418789 10 52 19.112 +10 59 00.15 22.6G 80806 F51 C~41y2 2019 04 07.250827 10 47 54.041 +11 24 48.18 22.9G 80806 F51 C~41y2 2019 04 07.261163 10 47 53.993 +11 24 48.46 23.3G 80806 F51 C~41y2 2019 04 07.281935 10 47 53.929 +11 24 48.64 23.3G 80806 F51 C~41y2 2019 12 24.557647 10 58 56.022 +10 13 40.53 22.8G 80806 F51 C~41y2 2019 12 29.582850 10 58 50.175 +10 14 39.98 23.9G 80806 F51 C~41y2 2020 01 19.455590 10 58 03.728 +10 20 49.93 23.2G 80806 F51 C~41y2 2020 01 19.494299 10 58 03.607 +10 20 50.68 23.1G 80806 F51 C~41y2 2020 01 21.587359 10 57 57.164 +10 21 37.23 23.3G 80806 F51 C~41y2 2020 02 18.251920 10 56 10.191 +10 33 31.83 23.2G 80806 G37 C~3oE3 2020 02 18.343250 10 56 09.784 +10 33 34.37 80806 G37 C~3oE3 2020 02 18.394720 10 56 09.557 +10 33 35.88 80806 G37 C~3oE3 2020 03 22.308583 10 53 42.313 +10 48 10.24 22.8G 80806 F51 C~41y2 2020 04 18.396251 10 52 03.995 +10 56 35.22 22.8G 80806 F51 C~41y2 2023 03 18.294500 11 08 18.417 +09 10 46.88 22.8G 80806 G37 C~6YnJ 2023 03 18.339440 11 08 18.149 +09 10 48.30 80806 G37 C~6YnJ 2023 03 18.380990 11 08 17.984 +09 10 49.61 80806 G37 C~6YnJ
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 0.13 0.00 -0.02 2 0.0004 0.00 -0.11 0.00 -0.06 3 0.0652 0.00 0.28 0.00 0.30 4 0.0654 0.00 0.04 0.00 0.29 5 0.0658 0.00 -0.11 0.00 -0.24 6 0.8739 0.00 0.23 0.00 -0.09 7 0.8743 0.00 0.24 0.00 0.09 8 0.8770 0.00 0.89 0.00 -0.05 9 1.0429 0.00 0.39 0.00 -0.04 10 1.0430 0.00 -0.26 0.00 -0.05 11 1.0542 0.00 -0.04 0.00 0.16 12 1.0544 0.00 0.03 0.00 0.12 13 1.1329 0.00 0.04 0.00 0.07 14 1.1330 0.00 -0.19 0.00 -0.04 15 1.2183 0.00 -0.07 0.00 -0.06 16 1.2185 0.00 -0.03 0.00 0.08 17 1.2210 0.00 -0.09 0.00 -0.13 18 2.0020 0.00 -0.65 0.00 -0.39 19 2.0021 0.00 -0.54 0.00 -0.51 20 2.0202 0.00 0.15 0.00 0.81 21 2.0203 0.00 0.02 0.00 0.85 22 4.1120 0.00 -0.37 0.00 0.30 23 4.1123 0.00 -0.07 0.00 0.22 24 5.0949 0.00 -0.12 0.00 -0.37 25 5.0949 0.00 -0.06 0.00 -0.39 26 5.0949 0.00 -0.05 0.00 -0.43 27 5.7485 0.00 0.48 0.00 -0.61 28 5.7485 0.00 0.44 0.00 -0.68 29 5.7485 0.00 0.55 0.00 -0.65 30 7.7163 0.00 0.45 0.00 0.06 31 7.7163 0.00 0.39 0.00 0.04 32 7.7163 0.00 0.33 0.00 0.03 33 7.7163 0.00 0.42 0.00 0.02 34 7.7230 0.00 0.39 0.00 0.06 35 7.7230 0.00 0.35 0.00 0.04 36 7.7231 0.00 0.40 0.00 0.11 37 7.8457 0.00 -0.51 0.00 0.42 38 7.8458 0.00 -0.52 0.00 0.43 39 7.8458 0.00 -0.52 0.00 0.34 40 7.8458 0.00 -0.53 0.00 0.34 41 7.9210 0.00 -0.21 0.00 -0.10 42 7.9211 0.00 -0.18 0.00 -0.13 43 7.9211 0.00 -0.38 0.00 -0.00 44 7.9212 0.00 -0.31 0.00 -0.01 45 7.9212 0.00 -0.29 0.00 -0.01 46 7.9213 0.00 -0.38 0.00 -0.02 47 7.9214 0.00 -0.19 0.00 -0.05 48 7.9214 0.00 -0.31 0.00 -0.09 49 11.9925 0.00 0.02 0.00 -0.17 50 11.9925 0.00 0.04 0.00 -0.25 51 12.0248 0.00 -0.08 0.00 0.17 52 12.0248 0.00 0.12 0.00 -0.00 53 12.0249 0.00 0.01 0.00 -0.11 54 12.0249 0.00 0.15 0.00 0.17 55 14.0126 0.00 -0.07 0.00 0.13 56 14.0126 0.00 0.32 0.00 -0.24 57 14.0126 0.00 0.19 0.00 0.10 58 14.0127 0.00 0.01 0.00 -0.04 59 14.0563 0.00 0.35 0.00 -0.14 60 14.0563 0.00 0.30 0.00 -0.09 61 14.0564 0.00 -0.01 0.00 -0.04 62 14.2862 0.00 -0.01 0.00 -0.17 63 14.3599 0.00 -0.08 0.00 -0.06 64 14.8070 0.00 -0.07 0.00 -0.09 65 14.8125 0.00 -0.18 0.00 -0.17 66 14.9545 0.00 -0.02 0.00 -0.09 67 14.9546 0.00 0.07 0.00 0.19 68 14.9546 0.00 0.10 0.00 0.04 69 14.9546 0.00 -0.22 0.00 0.08 70 14.9600 0.00 -0.14 0.00 -0.19 71 14.9601 0.00 -0.03 0.00 -0.06 72 14.9601 0.00 -0.11 0.00 0.02 73 14.9601 0.00 -0.16 0.00 -0.07 74 14.9873 0.00 -0.02 0.00 -0.18 75 15.0526 0.00 0.04 0.00 0.13 76 15.0527 0.00 0.16 0.00 0.06 77 15.0527 0.00 0.35 0.00 0.24 78 15.0527 0.00 -0.05 0.00 0.42 79 15.1020 0.00 -0.14 0.00 0.02 80 15.1020 0.00 0.03 0.00 0.07 81 15.1021 0.00 0.07 0.00 -0.12 82 15.1021 0.00 -0.01 0.00 0.14 83 15.1730 0.00 -0.17 0.00 0.15 84 15.9371 0.00 -0.09 0.00 0.01 85 15.9371 0.00 -0.05 0.00 -0.21 86 16.0139 0.00 0.02 0.00 0.12 87 16.0796 0.00 0.14 0.00 0.09 88 16.0905 0.00 0.06 0.00 0.02 89 16.2438 0.00 0.12 0.00 -0.19 90 16.9774 0.00 -0.08 0.00 -0.13 91 16.9774 0.00 -0.02 0.00 0.04 92 17.0761 0.00 0.10 0.00 0.01 93 17.1056 0.00 0.15 0.00 0.19 94 17.1056 0.00 0.06 0.00 -0.13 95 17.2695 0.00 0.28 0.00 0.15 96 17.2695 0.00 -0.12 0.00 -0.14 97 17.2695 0.00 0.34 0.00 0.47 98 17.9416 0.00 0.00 0.00 -0.01 99 17.9417 0.00 0.05 0.00 0.08 100 17.9417 0.00 0.02 0.00 0.15 101 17.9417 0.00 -0.01 0.00 0.02 102 18.0181 0.00 -0.03 0.00 -0.09 103 18.0181 0.00 0.04 0.00 -0.05 104 18.0182 0.00 0.04 0.00 -0.03 105 18.0182 0.00 -0.15 0.00 -0.02 106 18.1105 0.00 0.12 0.00 -0.00 107 18.1105 0.00 -0.08 0.00 -0.14 108 18.1110 0.00 -0.09 0.00 0.20 109 18.9955 0.00 -0.27 0.00 -0.06 110 19.1648 0.00 0.08 0.00 0.05 111 19.1649 0.00 -0.08 0.00 0.15 112 19.1649 0.00 0.08 0.00 -0.04 113 19.8802 0.00 0.13 0.00 0.16 114 19.8940 0.00 0.16 0.00 0.22 115 19.9512 0.00 -0.18 0.00 0.15 116 19.9513 0.00 -0.21 0.00 0.05 117 19.9570 0.00 -0.16 0.00 0.04 118 20.0327 0.00 -0.03 0.00 -0.01 119 20.0330 0.00 -0.02 0.00 -0.02 120 20.0331 0.00 0.03 0.00 0.07 121 20.1232 0.00 0.06 0.00 0.07 122 20.1974 0.00 0.05 0.00 -0.22 123 23.1102 0.00 0.49 0.00 -0.46 124 23.1103 0.00 -0.51 0.00 -0.20 125 23.1104 0.00 -0.19 0.00 0.03
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.
80806 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.196 42.196 42.196 ecceobj 0.070 0.070 0.070 incobj 3.756 3.756 3.756 qmin 38.746 38.748 38.744 qmax 45.911 45.896 45.900 amean 42.211 42.211 42.211 amin 41.880 41.875 41.885 amax 42.563 42.563 42.563 emean 0.052 0.052 0.052 emin 0.021 0.020 0.021 emax 0.079 0.079 0.079 imean 2.216 2.216 2.216 imin 0.263 0.264 0.262 imax 3.338 3.337 3.338 excite_mean 0.065 0.065 0.065 fracstop 1.000 1.000 1.000 cjmean 3.075 3.075 3.075 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 176.2 176.2 176.2 kozaiamp 179.9 180.0 180.0