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: 04LR31 # Created Fri Apr 19 01:11:56 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 265 observations of 267 # Arc: 24.42y # First observation: 1999/03/20 # Last observation: 2023/08/20 # Chi-squared of fit: 226.31 DOF: 524 RMS: 0.16 # Min/Max residuals: -1.09 1.78 # Exact a, adot, b, bdot, g, gdot: 2.663026E-05 1.120730E-01 4.940986E-06 2.216236E-02 6.639987E-02 -1.698573E-02 # Covariance matrix: 4.8124E-13 -7.5014E-13 3.0046E-14 -1.2960E-12 -1.2886E-12 7.0475E-12 -7.5014E-13 1.3177E-11 3.6161E-14 3.1199E-11 -5.2362E-11 -1.7123E-10 3.0046E-14 3.6161E-14 2.3447E-13 1.8841E-13 -8.9425E-13 -1.1504E-12 -1.2960E-12 3.1199E-11 1.8841E-13 8.9002E-11 -1.5819E-10 -4.7927E-10 -1.2886E-12 -5.2362E-11 -8.9425E-13 -1.5819E-10 3.4354E-10 8.6968E-10 7.0475E-12 -1.7123E-10 -1.1504E-12 -4.7927E-10 8.6968E-10 2.6316E-09 # lat0 lon0 xBary yBary zBary JD0 12.912549 -147.457825 0.549281 0.187565 -0.819269 2451257.896933 # Heliocentric elements and errors Epoch: 2451258.5000 = 1999/03/21 Mean Anomaly: 330.25242 +/- 0.001 Argument of Peri: 98.86850 +/- 0.000 Long of Asc Node: 164.63538 +/- 0.000 Inclination: 16.80151 +/- 0.000 Eccentricity: 0.27856839 +/- 0.0000 Semi-Major Axis: 20.19042664 +/- 0.0000 Time of Perihelion: 2453996.7039 +/- 0.1 Perihelion: 14.56601200 +/- 0.0000 Aphelion: 25.81484128 +/- 0.0000 Period (y) 90.7249 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -13.37022760 +/- 0.0000 Ecliptic Y -7.88534565 +/- 0.0000 Ecliptic Z 3.36552721 +/- 0.0000 Ecliptic XDOT 0.00323125 +/- 0.0000 Ecliptic YDOT -0.00340962 +/- 0.0000 Ecliptic ZDOT 0.00073421 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 15.88303571 +/- 0.0000 Geocenter to KBO 15.06035943 +/- 0.0000 # Hcoef: 9.02
The following table shows the complete astrometric record for 04LR31. 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 (04LR31) followed by the observatory code and reference code for the source of the astrometry.
1999 03 20.396190 14 18 59.12 -00 12 09.7 04LR31 645 C~1vVK 1999 03 20.397019 14 18 59.11 -00 12 09.7 04LR31 645 C~1vVK 1999 03 20.399506 14 18 59.10 -00 12 09.5 04LR31 645 C~1vVK 1999 03 22.390463 14 18 44.03 -00 09 21.7 21.4V 04LR31 645 C~1vVK 1999 03 22.391292 14 18 44.03 -00 09 21.6 21.0V 04LR31 645 C~1vVK 1999 03 22.393780 14 18 44.00 -00 09 21.5 22.2V 04LR31 645 C~1vVK 2003 05 26.26147 16 00 00.46 -02 51 43.2 21.0V 04LR31 691 C~1vVK 2003 05 26.28749 16 00 00.16 -02 51 41.7 21.4V 04LR31 691 C~1vVK 2003 05 26.31645 15 59 59.80 -02 51 40.4 21.2V 04LR31 691 C~1vVK 2004 05 27.35676 16 29 56.66 -03 47 00.2 21.2V 04LR31 291 Cv4433 2004 05 27.38066 16 29 56.30 -03 46 59.6 20.9V 04LR31 291 Cv4433 2004 05 27.40656 16 29 56.07 -03 46 59.4 20.8V 04LR31 291 Cv4433 2004 06 06.23998 16 28 00.78 -03 42 43.3 20.7R 04LR31 644 Cv4433 2004 06 06.30403 16 28 00.02 -03 42 42.5 20.8R 04LR31 644 Cv4433 2004 06 06.37702 16 27 59.21 -03 42 40.7 21.1R 04LR31 644 Cv4433 2004 06 12.23639 16 26 51.88 -03 41 14.0 20.9V 04LR31 691 Cv4433 2004 06 12.26417 16 26 51.57 -03 41 13.6 20.8V 04LR31 691 Cv4433 2004 06 12.32634 16 26 50.89 -03 41 12.9 20.9V 04LR31 691 Cv4433 2005 06 07.338876 16 58 42.38 -04 34 58.0 04LR31 645 C~1vVK 2005 06 07.339705 16 58 42.37 -04 34 58.0 04LR31 645 C~1vVK 2005 06 07.342193 16 58 42.34 -04 34 58.0 04LR31 645 C~1vVK 2010 05 09.56254 19 35 48.554 -07 21 30.62 20.5G 04LR31 F51 C~2kI2 2010 05 09.56356 19 35 48.545 -07 21 30.37 20.6G 04LR31 F51 C~2kI2 2010 05 09.57359 19 35 48.527 -07 21 30.28 20.7G 04LR31 F51 C~2kI2 2010 05 09.57461 19 35 48.509 -07 21 30.09 20.6G 04LR31 F51 C~2kI2 2010 07 19.38219 19 25 37.583 -07 26 33.62 20.5G 04LR31 F51 C~2kI2 2010 07 19.39381 19 25 37.442 -07 26 34.24 20.6G 04LR31 F51 C~2kI2 2010 07 30.40667 19 23 33.643 -07 35 36.40 20.8G 04LR31 F51 C~2kI2 2010 07 30.41881 19 23 33.508 -07 35 37.05 20.8G 04LR31 F51 C~2kI2 2010 08 04.41424 19 22 40.605 -07 40 15.16 21.2G 04LR31 F51 C~2kI2 2010 08 04.42529 19 22 40.496 -07 40 15.96 21.0G 04LR31 F51 C~2kI2 2010 08 05.33506 19 22 31.170 -07 41 08.62 20.8G 04LR31 F51 C~2kI2 2010 09 28.21765 19 17 56.082 -08 40 21.78 20.3G 04LR31 F51 C~2kI2 2011 06 30.52092 19 58 44.783 -07 22 43.80 20.9G 04LR31 F51 C~2kI2 2011 08 17.29255 19 50 03.922 -08 01 48.96 20.8G 04LR31 F51 C~2kI2 2011 08 17.30382 19 50 03.808 -08 01 49.69 20.3G 04LR31 F51 C~2kI2 2011 09 12.27134 19 46 58.296 -08 31 22.92 20.7G 04LR31 F51 C~2kI2 2011 09 12.28217 19 46 58.244 -08 31 23.72 20.7G 04LR31 F51 C~2kI2 2011 09 14.32058 19 46 49.570 -08 33 42.30 20.7G 04LR31 F51 C~2kI2 2011 09 14.33137 19 46 49.529 -08 33 43.23 20.5G 04LR31 F51 C~2kI2 2011 09 17.25946 19 46 38.813 -08 37 00.78 20.4G 04LR31 F51 C~2kI2 2012 05 06.61736 20 31 08.507 -07 26 44.59 20.9G 04LR31 F51 C~2kI2 2012 08 06.35480 20 20 24.639 -07 51 28.70 19.8G 04LR31 F51 C~2kI2 2012 08 06.36541 20 20 24.521 -07 51 29.09 20.4G 04LR31 F51 C~2kI2 2012 08 11.36945 20 19 30.877 -07 56 48.74 20.8G 04LR31 F51 C~2kI2 2012 08 11.37963 20 19 30.776 -07 56 49.28 21.6G 04LR31 F51 C~2kI2 2012 08 16.38283 20 18 39.158 -08 02 20.83 20.7G 04LR31 F51 C~2kI2 2012 08 16.39266 20 18 39.061 -08 02 21.61 21.0G 04LR31 F51 C~2kI2 2012 08 25.31525 20 17 13.996 -08 12 33.48 20.5i 04LR31 F51 C~1vVK 2012 08 25.32598 20 17 13.891 -08 12 34.18 20.5i 04LR31 F51 C~1vVK 2012 08 25.33743 20 17 13.789 -08 12 34.92 20.7r 04LR31 F51 C~1vVK 2012 08 25.34633 20 17 13.710 -08 12 35.82 20.7r 04LR31 F51 C~1vVK 2012 09 06.30685 20 15 38.349 -08 26 32.41 22.0G 04LR31 F51 C~2kI2 2012 10 12.20672 20 13 52.828 -09 04 18.50 21.1G 04LR31 F51 C~2kI2 2012 11 05.21809 20 15 40.546 -09 20 53.26 21.1G 04LR31 F51 C~2kI2 2012 11 05.22272 20 15 40.583 -09 20 53.38 21.0G 04LR31 F51 C~2kI2 2013 05 16.59529 20 57 23.580 -07 13 41.42 21.1G 04LR31 F51 C~2kI2 2013 05 23.59859 20 57 23.828 -07 11 07.10 21.2G 04LR31 F51 C~2kI2 2013 07 09.46809 20 52 58.233 -07 19 52.59 20.8w 04LR31 F51 C~1vVK 2013 07 09.48314 20 52 58.084 -07 19 53.13 20.8w 04LR31 F51 C~1vVK 2013 07 09.49824 20 52 57.945 -07 19 53.74 21.0w 04LR31 F51 C~1vVK 2013 07 09.51336 20 52 57.787 -07 19 54.36 20.9w 04LR31 F51 C~1vVK 2013 08 02.46589 20 48 46.772 -07 40 23.26 21.5G 04LR31 F51 C~2kI2 2013 08 15.38860 20 46 27.351 -07 54 24.73 20.9G 04LR31 F51 C~2kI2 2013 08 15.40002 20 46 27.228 -07 54 25.52 20.7G 04LR31 F51 C~2kI2 2013 08 16.40097 20 46 16.754 -07 55 34.02 20.8G 04LR31 F51 C~2kI2 2013 08 16.41211 20 46 16.633 -07 55 34.89 20.5G 04LR31 F51 C~2kI2 2013 10 23.23453 20 40 33.993 -09 07 00.72 21.2G 04LR31 F51 C~2kI2 2014 06 03.53789 21 22 25.361 -06 55 36.56 21.2w 04LR31 F51 C~1vVK 2014 06 03.55048 21 22 25.337 -06 55 36.53 21.2w 04LR31 F51 C~1vVK 2014 06 03.56309 21 22 25.319 -06 55 36.61 21.3G 04LR31 F51 C~2kI2 2014 06 03.57562 21 22 25.293 -06 55 36.46 21.1w 04LR31 F51 C~1vVK 2014 07 01.55450 21 20 13.991 -07 01 39.27 21.1w 04LR31 F51 C~1vVK 2014 07 01.56661 21 20 13.893 -07 01 39.69 21.1w 04LR31 F51 C~1vVK 2014 07 01.57873 21 20 13.806 -07 01 40.06 21.1w 04LR31 F51 C~1vVK 2014 07 01.59083 21 20 13.713 -07 01 40.58 21.1G 04LR31 F51 C~2kI2 2014 08 21.34797 21 11 57.927 -07 48 14.75 20.8w 04LR31 F51 C~1vVK 2014 08 21.36084 21 11 57.792 -07 48 15.61 20.9w 04LR31 F51 C~1vVK 2014 08 21.37372 21 11 57.654 -07 48 16.57 20.9w 04LR31 F51 C~1vVK 2014 08 21.38661 21 11 57.521 -07 48 17.45 20.8w 04LR31 F51 C~1vVK 2014 08 26.37982 21 11 06.958 -07 54 16.58 21.0w 04LR31 F51 C~1vVK 2014 08 26.39174 21 11 06.828 -07 54 17.49 21.0w 04LR31 F51 C~1vVK 2014 08 26.40365 21 11 06.705 -07 54 18.45 20.9w 04LR31 F51 C~1vVK 2014 08 26.41554 21 11 06.591 -07 54 19.07 21.0w 04LR31 F51 C~1vVK 2014 09 15.31302 21 08 11.202 -08 18 11.48 21.0w 04LR31 F51 C~1vVK 2014 09 15.32450 21 08 11.105 -08 18 12.35 21.1w 04LR31 F51 C~1vVK 2014 09 15.33596 21 08 11.025 -08 18 13.20 21.0w 04LR31 F51 C~1vVK 2014 09 15.34740 21 08 10.936 -08 18 13.97 21.1w 04LR31 F51 C~1vVK 2014 09 23.27632 21 07 17.518 -08 27 15.97 21.2w 04LR31 F51 C~1vVK 2014 09 23.30012 21 07 17.385 -08 27 18.02 21.3w 04LR31 F51 C~1vVK 2014 09 23.31199 21 07 17.313 -08 27 18.28 20.9w 04LR31 F51 C~1vVK 2014 10 01.23774 21 06 35.993 -08 35 46.07 20.6G 04LR31 F51 C~2kI2 2014 10 01.25060 21 06 35.927 -08 35 47.24 21.4G 04LR31 F51 C~2kI2 2014 10 01.26350 21 06 35.875 -08 35 48.04 21.2G 04LR31 F51 C~2kI2 2014 10 01.31321 21 06 35.643 -08 35 50.73 20.7i 04LR31 F51 C~1vVK 2014 10 01.32515 21 06 35.593 -08 35 51.40 20.8i 04LR31 F51 C~1vVK 2014 10 01.33706 21 06 35.534 -08 35 52.34 20.9i 04LR31 F51 C~1vVK 2014 10 01.34897 21 06 35.481 -08 35 53.02 20.7i 04LR31 F51 C~1vVK 2015 06 27.61308 21 45 24.465 -06 41 21.83 21.2G 04LR31 F51 C~2kI2 2015 06 28.50984 21 45 19.637 -06 41 44.56 20.8i 04LR31 F51 C~1vVK 2015 06 28.52216 21 45 19.562 -06 41 44.81 21.0i 04LR31 F51 C~1vVK 2015 06 28.53453 21 45 19.497 -06 41 45.23 20.9i 04LR31 F51 C~1vVK 2015 06 28.54693 21 45 19.424 -06 41 45.41 20.8i 04LR31 F51 C~1vVK 2015 06 28.60980 21 45 19.069 -06 41 47.33 20.6G 04LR31 F51 C~2kI2 2015 06 29.49371 21 45 14.142 -06 42 10.87 20.7i 04LR31 F51 C~1vVK 2015 06 29.50598 21 45 14.073 -06 42 11.27 20.9i 04LR31 F51 C~1vVK 2015 06 29.51831 21 45 13.997 -06 42 11.62 20.7i 04LR31 F51 C~1vVK 2015 06 29.53060 21 45 13.933 -06 42 11.85 20.7i 04LR31 F51 C~1vVK 2015 07 26.62889 21 41 42.876 -07 01 35.89 20.7G 04LR31 F51 C~2kI2 2015 10 09.29012 21 30 54.447 -08 26 08.50 21.1G 04LR31 F51 C~2kI2 2015 10 09.30179 21 30 54.417 -08 26 08.75 20.2G 04LR31 F51 C~2kI2 2015 10 09.31546 21 30 54.339 -08 26 09.86 20.9G 04LR31 F51 C~2kI2 2015 10 09.32713 21 30 54.289 -08 26 10.44 21.4G 04LR31 F51 C~2kI2 2015 10 10.28954 21 30 50.539 -08 27 04.42 21.2G 04LR31 F51 C~2kI2 2015 10 10.31144 21 30 50.444 -08 27 05.65 21.3G 04LR31 F51 C~2kI2 2015 10 10.32241 21 30 50.405 -08 27 06.17 21.3G 04LR31 F51 C~2kI2 2015 10 19.27924 21 30 25.177 -08 34 46.38 21.0G 04LR31 F51 C~2kI2 2015 10 19.29183 21 30 25.153 -08 34 47.01 21.4G 04LR31 F51 C~2kI2 2015 10 19.30436 21 30 25.126 -08 34 47.92 21.5G 04LR31 F51 C~2kI2 2015 10 19.31713 21 30 25.067 -08 34 48.13 21.4G 04LR31 F51 C~2kI2 2015 11 07.20014 21 30 32.340 -08 46 20.74 21.1G 04LR31 F51 C~2kI2 2016 08 03.45356 22 04 23.610 -06 47 35.20 21.3G 04LR31 F51 C~2kI2 2016 08 03.46534 22 04 23.501 -06 47 35.95 21.2G 04LR31 F51 C~2kI2 2016 08 03.47709 22 04 23.383 -06 47 36.74 21.3G 04LR31 F51 C~2kI2 2016 08 03.48883 22 04 23.269 -06 47 37.46 21.3G 04LR31 F51 C~2kI2 2016 08 30.26651 21 59 56.528 -07 19 05.21 21.1R 04LR31 309 C~1yGj 2016 08 30.26772 21 59 56.515 -07 19 05.41 21.1R 04LR31 309 C~1yGj 2016 08 30.26893 21 59 56.502 -07 19 05.57 21.0R 04LR31 309 C~1yGj 2016 08 30.27015 21 59 56.491 -07 19 05.61 20.9R 04LR31 309 C~1yGj 2016 08 30.27136 21 59 56.479 -07 19 05.82 21.1R 04LR31 309 C~1yGj 2016 08 30.27258 21 59 56.467 -07 19 05.81 21.1R 04LR31 309 C~1yGj 2016 08 30.27379 21 59 56.455 -07 19 05.93 21.1R 04LR31 309 C~1yGj 2016 08 30.27501 21 59 56.444 -07 19 06.08 20.9R 04LR31 309 C~1yGj 2016 08 30.27622 21 59 56.428 -07 19 06.12 21.0R 04LR31 309 C~1yGj 2016 08 30.27744 21 59 56.416 -07 19 06.19 21.1R 04LR31 309 C~1yGj 2016 09 26.34997 21 55 57.130 -07 51 40.28 21.7G 04LR31 F51 C~2kI2 2016 09 26.36115 21 55 57.040 -07 51 41.23 21.4G 04LR31 F51 C~2kI2 2016 10 15.29714 21 54 10.972 -08 10 30.17 21.6G 04LR31 F51 C~2kI2 2016 11 03.22095 21 53 37.454 -08 23 30.17 04LR31 F51 C~2kI2 2016 11 03.23388 21 53 37.461 -08 23 30.55 04LR31 F51 C~2kI2 2016 11 15.23139 21 53 58.171 -08 28 04.96 20.5G 04LR31 F51 C~2kI2 2017 07 25.51715 22 28 32.184 -06 12 32.44 21.3G 04LR31 F51 C~2kI2 2017 07 25.52772 22 28 32.101 -06 12 33.07 21.4G 04LR31 F51 C~2kI2 2017 07 25.53829 22 28 32.018 -06 12 33.60 21.4G 04LR31 F51 C~2kI2 2017 07 25.54887 22 28 31.935 -06 12 34.13 21.5G 04LR31 F51 C~2kI2 2017 08 03.47740 22 27 18.806 -06 21 21.04 21.4G 04LR31 F51 C~2kI2 2017 08 03.48948 22 27 18.695 -06 21 21.78 21.4G 04LR31 F51 C~2kI2 2017 08 03.51368 22 27 18.476 -06 21 23.26 21.4G 04LR31 F51 C~2kI2 2017 09 12.31378 22 20 57.506 -07 08 57.62 21.3G 04LR31 F51 C~2kI2 2017 09 12.32540 22 20 57.396 -07 08 58.45 21.3G 04LR31 F51 C~2kI2 2017 09 12.33702 22 20 57.275 -07 08 59.22 20.9G 04LR31 F51 C~2kI2 2017 09 21.36778 22 19 36.445 -07 19 54.01 21.3G 04LR31 F51 C~2kI2 2017 09 21.37877 22 19 36.346 -07 19 54.83 21.4G 04LR31 F51 C~2kI2 2017 09 21.38975 22 19 36.249 -07 19 55.52 21.4G 04LR31 F51 C~2kI2 2017 09 21.40075 22 19 36.151 -07 19 56.24 21.2G 04LR31 F51 C~2kI2 2017 10 18.26148 22 16 38.065 -07 47 29.21 04LR31 F51 C~2kI2 2020 07 17.52473 23 30 39.746 -04 36 44.04 21.9w 04LR31 F51 C~3z1g 2020 07 17.53679 23 30 39.694 -04 36 44.58 21.8w 04LR31 F51 C~3z1g 2020 07 17.54886 23 30 39.651 -04 36 44.91 21.8w 04LR31 F51 C~3z1g 2020 07 17.56084 23 30 39.604 -04 36 45.46 21.8w 04LR31 F51 C~3z1g 2020 08 15.42451 23 27 51.837 -05 03 29.34 21.9w 04LR31 F51 C~43qs 2020 08 15.43697 23 27 51.730 -05 03 30.17 21.8w 04LR31 F51 C~43qs 2020 08 15.44944 23 27 51.639 -05 03 30.87 21.9w 04LR31 F51 C~43qs 2020 08 15.46188 23 27 51.535 -05 03 31.63 21.8w 04LR31 F51 C~43qs 2020 09 10.35583 23 24 05.599 -05 34 39.74 21.5w 04LR31 F51 C~47v7 2020 09 10.36796 23 24 05.494 -05 34 40.73 21.5w 04LR31 F51 C~47v7 2020 09 10.38008 23 24 05.381 -05 34 41.53 21.4w 04LR31 F51 C~47v7 2020 09 10.39231 23 24 05.266 -05 34 42.42 21.5w 04LR31 F51 C~47v7 2020 09 13.42100 23 23 37.124 -05 38 27.12 21.7w 04LR31 F52 C~47v7 2020 09 13.43263 23 23 37.031 -05 38 27.82 21.7w 04LR31 F52 C~47v7 2020 09 13.44428 23 23 36.874 -05 38 28.87 21.8w 04LR31 F52 C~47v7 2021 08 04.494601 23 47 50.177 -04 19 16.96 21.9w 04LR31 F51 C~4xMy 2021 08 04.506586 23 47 50.106 -04 19 17.54 21.8w 04LR31 F51 C~4xMy 2021 08 04.518598 23 47 50.007 -04 19 18.18 21.8w 04LR31 F51 C~4xMy 2021 08 12.489042 23 47 01.198 -04 27 17.81 21.6w 04LR31 F51 C~4yDY 2021 08 12.514017 23 47 01.023 -04 27 19.56 21.7w 04LR31 F51 C~4yDY 2021 08 12.526523 23 47 00.933 -04 27 20.21 21.7w 04LR31 F51 C~4yDY 2021 08 14.502309 23 46 47.521 -04 29 26.61 21.8w 04LR31 F51 C~4yDY 2021 08 14.518853 23 46 47.368 -04 29 27.88 22.1w 04LR31 F51 C~4yDY 2021 08 14.535013 23 46 47.281 -04 29 28.71 21.9w 04LR31 F51 C~4yDY 2021 08 17.511006 23 46 26.154 -04 32 43.63 21.9w 04LR31 F51 C~4yDY 2021 08 17.522897 23 46 26.050 -04 32 44.69 22.0w 04LR31 F51 C~4yDY 2021 08 17.534834 23 46 25.973 -04 32 45.68 22.0w 04LR31 F51 C~4yDY 2021 08 17.546796 23 46 25.890 -04 32 46.15 21.8w 04LR31 F51 C~4yDY 2021 09 09.07308 23 43 19.48 -04 59 27.2 22.0V 04LR31 W84 C~52FW 2021 09 09.07481 23 43 19.47 -04 59 27.3 04LR31 W84 C~52FW 2021 09 09.07654 23 43 19.46 -04 59 27.4 04LR31 W84 C~52FW 2021 09 09.07826 23 43 19.44 -04 59 27.5 04LR31 W84 C~52FW 2021 09 09.07998 23 43 19.42 -04 59 27.7 04LR31 W84 C~52FW 2021 09 09.08172 23 43 19.41 -04 59 27.8 04LR31 W84 C~52FW 2021 09 09.08343 23 43 19.39 -04 59 27.9 04LR31 W84 C~52FW 2021 09 09.08515 23 43 19.37 -04 59 28.0 04LR31 W84 C~52FW 2021 09 09.08687 23 43 19.36 -04 59 28.2 04LR31 W84 C~52FW 2021 09 09.08860 23 43 19.34 -04 59 28.4 04LR31 W84 C~52FW 2021 09 09.09032 23 43 19.33 -04 59 28.4 04LR31 W84 C~52FW 2021 09 09.09203 23 43 19.31 -04 59 28.5 04LR31 W84 C~52FW 2021 09 09.09376 23 43 19.29 -04 59 28.7 04LR31 W84 C~52FW 2021 09 09.09547 23 43 19.28 -04 59 28.8 04LR31 W84 C~52FW 2021 09 09.09719 23 43 19.26 -04 59 28.8 04LR31 W84 C~52FW 2021 09 09.09892 23 43 19.25 -04 59 28.9 04LR31 W84 C~52FW 2021 09 09.10063 23 43 19.23 -04 59 29.2 04LR31 W84 C~52FW 2021 09 09.10235 23 43 19.22 -04 59 29.3 04LR31 W84 C~52FW 2021 09 09.10406 23 43 19.20 -04 59 29.4 04LR31 W84 C~52FW 2021 09 09.10578 23 43 19.19 -04 59 29.5 04LR31 W84 C~52FW 2021 09 09.10750 23 43 19.17 -04 59 29.7 04LR31 W84 C~52FW 2021 09 09.10921 23 43 19.15 -04 59 29.8 04LR31 W84 C~52FW 2021 09 09.11093 23 43 19.14 -04 59 29.9 04LR31 W84 C~52FW 2021 09 09.11265 23 43 19.13 -04 59 30.1 04LR31 W84 C~52FW 2021 09 09.11437 23 43 19.11 -04 59 30.2 04LR31 W84 C~52FW 2021 09 09.11608 23 43 19.09 -04 59 30.4 04LR31 W84 C~52FW 2021 09 09.11780 23 43 19.08 -04 59 30.5 04LR31 W84 C~52FW 2021 09 09.11953 23 43 19.06 -04 59 30.6 04LR31 W84 C~52FW 2021 09 09.12125 23 43 19.04 -04 59 30.7 04LR31 W84 C~52FW 2021 09 09.12297 23 43 19.03 -04 59 30.9 04LR31 W84 C~52FW 2021 09 09.12469 23 43 19.01 -04 59 30.9 04LR31 W84 C~52FW 2021 09 09.12642 23 43 19.00 -04 59 31.1 04LR31 W84 C~52FW 2021 09 09.12815 23 43 18.99 -04 59 31.2 04LR31 W84 C~52FW 2021 09 09.12989 23 43 18.97 -04 59 31.4 04LR31 W84 C~52FW 2021 09 09.13161 23 43 18.95 -04 59 31.5 04LR31 W84 C~52FW 2021 09 09.13334 23 43 18.93 -04 59 31.7 04LR31 W84 C~52FW 2021 09 09.13506 23 43 18.92 -04 59 31.7 04LR31 W84 C~52FW 2021 09 09.13679 23 43 18.90 -04 59 31.9 04LR31 W84 C~52FW 2021 09 09.13852 23 43 18.89 -04 59 32.0 04LR31 W84 C~52FW 2021 09 09.14025 23 43 18.87 -04 59 32.1 04LR31 W84 C~52FW 2021 09 09.14199 23 43 18.85 -04 59 32.2 04LR31 W84 C~52FW 2021 09 09.14372 23 43 18.84 -04 59 32.4 04LR31 W84 C~52FW 2021 09 09.14545 23 43 18.82 -04 59 32.5 04LR31 W84 C~52FW 2021 09 09.14716 23 43 18.81 -04 59 32.6 04LR31 W84 C~52FW 2021 09 09.14889 23 43 18.79 -04 59 32.8 04LR31 W84 C~52FW 2021 09 09.15061 23 43 18.78 -04 59 32.8 04LR31 W84 C~52FW 2021 09 09.15235 23 43 18.76 -04 59 33.0 04LR31 W84 C~52FW 2021 09 09.15407 23 43 18.75 -04 59 33.1 04LR31 W84 C~52FW 2021 09 09.15579 23 43 18.73 -04 59 33.2 04LR31 W84 C~52FW 2021 09 09.15751 23 43 18.71 -04 59 33.4 04LR31 W84 C~52FW 2021 09 09.15922 23 43 18.70 -04 59 33.5 04LR31 W84 C~52FW 2021 09 09.16096 23 43 18.68 -04 59 33.6 04LR31 W84 C~52FW 2021 09 09.16268 23 43 18.67 -04 59 33.8 04LR31 W84 C~52FW 2021 09 09.16440 23 43 18.65 -04 59 33.9 04LR31 W84 C~52FW 2021 09 09.16613 23 43 18.63 -04 59 34.0 04LR31 W84 C~52FW 2021 09 09.16785 23 43 18.62 -04 59 34.2 04LR31 W84 C~52FW 2021 09 09.16960 23 43 18.60 -04 59 34.2 04LR31 W84 C~52FW 2021 09 09.17133 23 43 18.58 -04 59 34.4 04LR31 W84 C~52FW 2021 09 09.17304 23 43 18.57 -04 59 34.6 04LR31 W84 C~52FW 2021 09 09.17477 23 43 18.56 -04 59 34.7 04LR31 W84 C~52FW 2021 09 09.17649 23 43 18.54 -04 59 34.8 04LR31 W84 C~52FW 2021 09 09.17822 23 43 18.53 -04 59 34.9 04LR31 W84 C~52FW 2021 09 09.18003 23 43 18.50 -04 59 35.1 04LR31 W84 C~52FW 2021 09 09.18174 23 43 18.49 -04 59 35.1 04LR31 W84 C~52FW 2021 09 09.18347 23 43 18.48 -04 59 35.3 04LR31 W84 C~52FW 2021 09 09.18522 23 43 18.46 -04 59 35.4 04LR31 W84 C~52FW 2021 09 09.18694 23 43 18.44 -04 59 35.6 04LR31 W84 C~52FW 2021 09 09.18867 23 43 18.43 -04 59 35.6 04LR31 W84 C~52FW 2021 09 09.19041 23 43 18.41 -04 59 35.9 04LR31 W84 C~52FW 2021 09 09.19214 23 43 18.40 -04 59 35.9 04LR31 W84 C~52FW 2021 10 04.367736 23 39 32.009 -05 29 26.34 21.6w 04LR31 F52 C~554R 2021 10 04.379153 23 39 31.910 -05 29 27.09 21.5w 04LR31 F52 C~554R 2021 10 04.390546 23 39 31.819 -05 29 27.66 21.8w 04LR31 F52 C~554R 2022 09 02.516104 00 02 23.198 -04 17 33.26 22.0w 04LR31 F51 C~5nEC 2022 09 02.536240 00 02 23.016 -04 17 34.80 22.0w 04LR31 F51 C~5nEC 2022 09 02.552568 00 02 22.885 -04 17 36.25 21.9w 04LR31 F51 C~5nEC 2022 09 02.565013 00 02 22.775 -04 17 37.00 21.9w 04LR31 F51 C~5nEC 2022 09 21.400015 23 59 38.859 -04 40 18.08 21.5w 04LR31 F51 C~5o1a 2022 09 21.412638 23 59 38.744 -04 40 18.96 21.8w 04LR31 F51 C~5o1a 2022 09 21.425433 23 59 38.625 -04 40 19.61 21.7w 04LR31 F51 C~5o1a 2023 08 20.549356 00 21 09.685 -03 29 08.46 22.5w 04LR31 F51 C~77jx 2023 08 20.562101 00 21 09.562 -03 29 09.10 22.3w 04LR31 F51 C~77jx 2023 08 20.574802 00 21 09.522 -03 29 10.24 22.3w 04LR31 F51 C~77jx
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 0.03 0.00 0.06
2 0.0000 0.00 -0.02 0.00 -0.01
3 0.0000 0.00 0.11 0.00 -0.02
4 0.0055 0.00 -0.11 0.00 -0.23
5 0.0055 0.00 -0.01 0.00 -0.20
6 0.0055 0.00 -0.16 0.00 -0.31
7 4.1831 0.00 -0.28 0.00 1.78
8 4.1831 0.00 ( -0.18) 0.00 ( 2.35)
9 4.1832 0.00 ( -0.45) 0.00 ( 2.61)
10 5.1881 0.00 0.02 0.00 -0.00
11 5.1882 0.00 -1.09 0.00 -0.18
12 5.1883 0.00 0.10 0.00 -0.82
13 5.2152 0.00 0.50 0.00 0.61
14 5.2154 0.00 0.48 0.00 0.18
15 5.2156 0.00 1.29 0.00 0.59
16 5.2316 0.00 -0.20 0.00 -0.04
17 5.2317 0.00 -0.05 0.00 0.07
18 5.2318 0.00 0.50 0.00 0.10
19 6.2175 0.00 -0.20 0.00 0.05
20 6.2175 0.00 -0.20 0.00 0.04
21 6.2175 0.00 -0.20 0.00 -0.01
22 11.1380 0.00 0.10 0.00 -0.05
23 11.1380 0.00 0.00 0.00 0.16
24 11.1381 0.00 0.11 0.00 -0.11
25 11.1381 0.00 -0.13 0.00 0.05
26 11.3319 0.00 -0.03 0.00 -0.00
27 11.3320 0.00 -0.09 0.00 -0.10
28 11.3621 0.00 -0.09 0.00 -0.05
29 11.3621 0.00 -0.10 0.00 -0.04
30 11.3758 0.00 -0.12 0.00 0.07
31 11.3758 0.00 -0.01 0.00 -0.09
32 11.3783 0.00 -0.11 0.00 -0.16
33 11.5259 0.00 0.09 0.00 -0.00
34 12.2796 0.00 -0.06 0.00 -0.12
35 12.4104 0.00 -0.02 0.00 -0.07
36 12.4104 0.00 -0.11 0.00 -0.06
37 12.4815 0.00 -0.02 0.00 -0.10
38 12.4815 0.00 -0.03 0.00 -0.16
39 12.4871 0.00 -0.09 0.00 -0.01
40 12.4872 0.00 -0.02 0.00 -0.21
41 12.4952 0.00 -0.02 0.00 -0.16
42 13.1313 0.00 -0.03 0.00 0.26
43 13.3825 0.00 -0.02 0.00 -0.14
44 13.3825 0.00 -0.02 0.00 0.13
45 13.3962 0.00 -0.11 0.00 -0.07
46 13.3963 0.00 0.02 0.00 0.05
47 13.4100 0.00 -0.04 0.00 0.01
48 13.4100 0.00 0.02 0.00 -0.11
49 13.4344 0.00 0.11 0.00 -0.02
50 13.4344 0.00 0.02 0.00 0.03
51 13.4345 0.00 0.06 0.00 0.09
52 13.4345 0.00 0.10 0.00 -0.19
53 13.4672 0.00 -0.40 0.00 -0.20
54 13.5655 0.00 0.11 0.00 0.02
55 13.6313 0.00 -0.07 0.00 -0.08
56 13.6313 0.00 -0.02 0.00 -0.07
57 14.1580 0.00 0.18 0.00 -0.14
58 14.1771 0.00 -0.03 0.00 0.01
59 14.3055 0.00 0.04 0.00 -0.05
60 14.3055 0.00 0.02 0.00 0.01
61 14.3055 0.00 0.16 0.00 -0.00
62 14.3056 0.00 0.01 0.00 -0.02
63 14.3712 0.00 0.00 0.00 -0.11
64 14.4066 0.00 -0.02 0.00 -0.06
65 14.4066 0.00 -0.03 0.00 -0.07
66 14.4093 0.00 -0.02 0.00 -0.06
67 14.4094 0.00 -0.05 0.00 -0.16
68 14.5950 0.00 -0.03 0.00 -0.03
69 15.2064 0.00 -0.15 0.00 0.04
70 15.2064 0.00 -0.13 0.00 0.01
71 15.2065 0.00 -0.03 0.00 -0.13
72 15.2065 0.00 -0.05 0.00 -0.04
73 15.2831 0.00 0.03 0.00 0.17
74 15.2831 0.00 -0.07 0.00 0.12
75 15.2832 0.00 0.00 0.00 0.12
76 15.2832 0.00 -0.02 0.00 -0.03
77 15.4222 0.00 -0.02 0.00 0.05
78 15.4222 0.00 -0.01 0.00 0.11
79 15.4223 0.00 -0.05 0.00 0.07
80 15.4223 0.00 -0.01 0.00 0.11
81 15.4360 0.00 0.18 0.00 0.08
82 15.4360 0.00 0.05 0.00 0.03
83 15.4360 0.00 0.02 0.00 -0.07
84 15.4361 0.00 0.12 0.00 0.17
85 15.4905 0.00 0.09 0.00 0.08
86 15.4906 0.00 -0.05 0.00 0.01
87 15.4906 0.00 0.07 0.00 -0.04
88 15.4906 0.00 0.05 0.00 -0.01
89 15.5123 0.00 -0.08 0.00 0.05
90 15.5124 0.00 0.15 0.00 -0.42
91 15.5124 0.00 0.18 0.00 0.11
92 15.5341 0.00 0.11 0.00 0.25
93 15.5342 0.00 0.01 0.00 -0.13
94 15.5342 0.00 0.12 0.00 -0.13
95 15.5343 0.00 0.08 0.00 0.23
96 15.5344 0.00 0.15 0.00 0.30
97 15.5344 0.00 0.09 0.00 0.09
98 15.5344 0.00 0.11 0.00 0.14
99 16.2716 0.00 -0.06 0.00 -0.09
100 16.2741 0.00 0.01 0.00 0.11
101 16.2741 0.00 -0.06 0.00 0.18
102 16.2742 0.00 0.02 0.00 0.08
103 16.2742 0.00 -0.01 0.00 0.23
104 16.2744 0.00 0.07 0.00 -0.04
105 16.2768 0.00 -0.03 0.00 0.10
106 16.2768 0.00 0.02 0.00 0.04
107 16.2769 0.00 -0.03 0.00 0.03
108 16.2769 0.00 0.09 0.00 0.13
109 16.3511 0.00 -0.02 0.00 0.00
110 16.5555 0.00 0.06 0.00 -0.15
111 16.5555 0.00 0.35 0.00 0.26
112 16.5556 0.00 0.05 0.00 -0.08
113 16.5556 0.00 0.04 0.00 -0.00
114 16.5582 0.00 0.01 0.00 -0.07
115 16.5583 0.00 -0.10 0.00 -0.09
116 16.5583 0.00 -0.02 0.00 -0.00
117 16.5828 0.00 -0.08 0.00 0.07
118 16.5829 0.00 -0.06 0.00 0.03
119 16.5829 0.00 -0.08 0.00 -0.29
120 16.5829 0.00 -0.58 0.00 0.09
121 16.6346 0.00 0.26 0.00 -0.17
122 17.3746 0.00 0.01 0.00 -0.04
123 17.3746 0.00 0.09 0.00 -0.04
124 17.3746 0.00 0.02 0.00 -0.08
125 17.3747 0.00 0.01 0.00 -0.06
126 17.4480 0.00 0.04 0.00 0.11
127 17.4480 0.00 0.02 0.00 0.00
128 17.4480 0.00 0.01 0.00 -0.07
129 17.4480 0.00 0.03 0.00 -0.02
130 17.4480 0.00 0.04 0.00 -0.14
131 17.4480 0.00 0.04 0.00 -0.04
132 17.4480 0.00 0.05 0.00 -0.07
133 17.4480 0.00 0.07 0.00 -0.13
134 17.4480 0.00 0.01 0.00 -0.08
135 17.4480 0.00 0.01 0.00 -0.06
136 17.5221 0.00 0.05 0.00 0.07
137 17.5221 0.00 -0.05 0.00 -0.13
138 17.5740 0.00 -0.01 0.00 -0.08
139 17.6258 0.00 0.02 0.00 -0.31
140 17.6258 0.00 0.10 0.00 -0.30
141 17.6587 0.00 0.13 0.00 -0.18
142 18.3494 0.00 0.02 0.00 -0.07
143 18.3494 0.00 0.02 0.00 -0.12
144 18.3495 0.00 0.02 0.00 -0.07
145 18.3495 0.00 0.03 0.00 -0.02
146 18.3739 0.00 0.07 0.00 -0.12
147 18.3740 0.00 0.01 0.00 -0.10
148 18.3740 0.00 -0.04 0.00 -0.06
149 18.4830 0.00 0.02 0.00 -0.07
150 18.4830 0.00 0.02 0.00 -0.03
151 18.4831 0.00 -0.13 0.00 0.06
152 18.5078 0.00 0.02 0.00 -0.08
153 18.5078 0.00 -0.03 0.00 -0.12
154 18.5079 0.00 -0.04 0.00 -0.03
155 18.5079 0.00 -0.07 0.00 0.02
156 18.5814 0.00 0.18 0.00 -0.13
157 21.3282 0.00 0.03 0.00 0.02
158 21.3282 0.00 -0.08 0.00 -0.02
159 21.3283 0.00 -0.05 0.00 0.15
160 21.3283 0.00 -0.08 0.00 0.10
161 21.4073 0.00 0.07 0.00 -0.03
162 21.4074 0.00 -0.06 0.00 -0.03
163 21.4074 0.00 0.06 0.00 0.11
164 21.4074 0.00 -0.02 0.00 0.19
165 21.4783 0.00 -0.10 0.00 -0.04
166 21.4784 0.00 0.05 0.00 -0.13
167 21.4784 0.00 0.07 0.00 -0.03
168 21.4784 0.00 0.08 0.00 -0.01
169 21.4867 0.00 0.11 0.00 -0.08
170 21.4868 0.00 0.37 0.00 0.08
171 21.4868 0.00 -0.33 0.00 -0.11
172 22.3767 0.00 0.27 0.00 -0.14
173 22.3768 0.00 0.24 0.00 -0.03
174 22.3768 0.00 -0.21 0.00 0.01
175 22.3986 0.00 0.09 0.00 0.22
176 22.3987 0.00 0.03 0.00 0.05
177 22.3987 0.00 -0.03 0.00 0.19
178 22.4041 0.00 0.16 0.00 0.09
179 22.4042 0.00 -0.37 0.00 -0.11
180 22.4042 0.00 0.05 0.00 0.11
181 22.4124 0.00 0.01 0.00 0.24
182 22.4124 0.00 -0.22 0.00 -0.03
183 22.4124 0.00 -0.04 0.00 -0.22
184 22.4125 0.00 0.05 0.00 0.10
185 22.4741 0.00 -0.08 0.00 -0.03
186 22.4741 0.00 0.00 0.00 0.00
187 22.4741 0.00 0.09 0.00 0.03
188 22.4741 0.00 0.02 0.00 0.06
189 22.4742 0.00 -0.04 0.00 -0.02
190 22.4742 0.00 0.05 0.00 0.01
191 22.4742 0.00 -0.02 0.00 0.04
192 22.4742 0.00 -0.09 0.00 0.06
193 22.4742 0.00 -0.00 0.00 -0.01
194 22.4742 0.00 -0.06 0.00 -0.08
195 22.4742 0.00 0.02 0.00 0.05
196 22.4742 0.00 -0.05 0.00 0.07
197 22.4742 0.00 -0.11 0.00 0.00
198 22.4742 0.00 -0.03 0.00 0.03
199 22.4742 0.00 -0.09 0.00 0.15
200 22.4742 0.00 -0.00 0.00 0.18
201 22.4742 0.00 -0.07 0.00 0.01
202 22.4742 0.00 0.02 0.00 0.03
203 22.4742 0.00 -0.05 0.00 0.06
204 22.4742 0.00 0.03 0.00 0.09
205 22.4742 0.00 -0.03 0.00 0.01
206 22.4742 0.00 -0.10 0.00 0.04
207 22.4742 0.00 -0.01 0.00 0.07
208 22.4742 0.00 0.08 0.00 -0.01
209 22.4742 0.00 0.01 0.00 0.02
210 22.4743 0.00 -0.06 0.00 -0.05
211 22.4743 0.00 0.03 0.00 -0.03
212 22.4743 0.00 -0.03 0.00 0.00
213 22.4743 0.00 -0.10 0.00 0.03
214 22.4743 0.00 -0.01 0.00 -0.04
215 22.4743 0.00 -0.08 0.00 0.08
216 22.4743 0.00 0.01 0.00 0.01
217 22.4743 0.00 0.10 0.00 0.04
218 22.4743 0.00 0.04 0.00 -0.03
219 22.4743 0.00 -0.03 0.00 -0.01
220 22.4743 0.00 -0.09 0.00 -0.08
221 22.4743 0.00 -0.00 0.00 0.05
222 22.4743 0.00 -0.07 0.00 -0.03
223 22.4743 0.00 0.02 0.00 0.00
224 22.4743 0.00 -0.04 0.00 0.03
225 22.4743 0.00 -0.10 0.00 0.06
226 22.4743 0.00 -0.02 0.00 -0.01
227 22.4743 0.00 -0.08 0.00 0.01
228 22.4743 0.00 0.01 0.00 0.04
229 22.4743 0.00 -0.06 0.00 -0.03
230 22.4743 0.00 0.03 0.00 0.09
231 22.4743 0.00 -0.03 0.00 0.02
232 22.4744 0.00 0.05 0.00 0.05
233 22.4744 0.00 -0.01 0.00 0.08
234 22.4744 0.00 -0.07 0.00 0.00
235 22.4744 0.00 0.01 0.00 0.03
236 22.4744 0.00 -0.05 0.00 0.06
237 22.4744 0.00 0.04 0.00 -0.02
238 22.4744 0.00 -0.03 0.00 0.01
239 22.4744 0.00 -0.09 0.00 0.04
240 22.4744 0.00 -0.00 0.00 -0.04
241 22.4744 0.00 -0.06 0.00 0.09
242 22.4744 0.00 -0.12 0.00 0.02
243 22.4744 0.00 -0.04 0.00 -0.05
244 22.4744 0.00 0.05 0.00 -0.03
245 22.4744 0.00 -0.02 0.00 0.00
246 22.4744 0.00 0.07 0.00 0.03
247 22.4744 0.00 -0.13 0.00 -0.04
248 22.4744 0.00 -0.04 0.00 0.09
249 22.4744 0.00 0.04 0.00 0.02
250 22.4744 0.00 -0.02 0.00 0.05
251 22.4744 0.00 -0.08 0.00 -0.03
252 22.4744 0.00 0.01 0.00 0.10
253 22.4745 0.00 -0.05 0.00 -0.07
254 22.4745 0.00 0.04 0.00 0.05
255 22.5434 0.00 -0.04 0.00 -0.08
256 22.5434 0.00 -0.02 0.00 -0.08
257 22.5434 0.00 0.11 0.00 0.10
258 23.4555 0.00 0.08 0.00 0.24
259 23.4556 0.00 -0.12 0.00 0.14
260 23.4556 0.00 -0.03 0.00 -0.15
261 23.4556 0.00 -0.12 0.00 -0.01
262 23.5072 0.00 -0.02 0.00 -0.06
263 23.5072 0.00 -0.00 0.00 -0.04
264 23.5073 0.00 -0.03 0.00 0.23
265 24.4193 0.00 0.22 0.00 0.01
266 24.4193 0.00 -0.39 0.00 0.18
267 24.4194 0.00 0.24 0.00 -0.14
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.
04LR31 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 20.174 20.174 20.175 ecceobj 0.278 0.278 0.278 incobj 16.797 16.797 16.797 qmin 13.844 13.935 14.057 qmax 27.114 26.915 27.084 amean 20.402 20.322 20.482 amin 19.595 19.876 20.174 amax 20.649 20.643 20.767 emean 0.305 0.302 0.299 emin 0.278 0.278 0.260 emax 0.315 0.310 0.313 imean 15.072 15.176 15.482 imin 14.630 14.854 15.003 imax 15.990 15.990 17.108 excite_mean 0.401 0.399 0.401 fracstop 0.013 0.012 0.012 cjmean 2.990 2.994 2.987 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 185.8 179.7 181.1 kozaiamp 89.6 83.5 82.1