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: 248835 # Created Fri Nov 22 02:06:59 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 125 observations of 128 # Arc: 11.99y # First observation: 2006/09/16 # Last observation: 2018/09/11 # Chi-squared of fit: 409.85 DOF: 244 RMS: 0.32 # Min/Max residuals: -1.39 1.72 # Exact a, adot, b, bdot, g, gdot: 2.651995E-05 1.406304E-01 1.836345E-05 9.228391E-02 8.252646E-02 -4.108024E-02 # 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 20.195091 -55.374647 -0.756451 0.230023 -0.625121 2453994.631154 # Heliocentric elements and errors Epoch: 2453994.5000 = 2006/09/16 Mean Anomaly: 347.31379 +/- 0.000 Argument of Peri: 70.48391 +/- 0.000 Long of Asc Node: 280.01524 +/- 0.000 Inclination: 36.28616 +/- 0.000 Eccentricity: 0.45921970 +/- 0.0000 Semi-Major Axis: 22.12445534 +/- 0.0000 Time of Perihelion: 2455333.9814 +/- 0.0 Perihelion: 11.96446964 +/- 0.0000 Aphelion: 32.28444104 +/- 0.0000 Period (y) 104.0680 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 7.46015949 +/- 0.0000 Ecliptic Y -9.47986517 +/- 0.0000 Ecliptic Z 4.18335708 +/- 0.0000 Ecliptic XDOT 0.00251653 +/- 0.0000 Ecliptic YDOT 0.00456845 +/- 0.0000 Ecliptic ZDOT 0.00240281 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 12.76809716 +/- 0.0000 Geocenter to KBO 12.11746488 +/- 0.0000 # Hcoef: 9.47
The following table shows the complete astrometric record for 248835. 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 (248835) followed by the observatory code and reference code for the source of the astrometry.
2006 09 16.13040 20 08 54.89 +00 32 45.6 20.8V 248835 705 cs4201 2006 09 16.13372 20 08 54.86 +00 32 45.5 21.5 248835 705 cs4201 2006 09 20.11002 20 08 29.95 +00 29 31.5 20.7V 248835 705 cs4201 2006 09 20.11334 20 08 29.94 +00 29 31.3 21.4 248835 705 cs4201 2006 09 25.15047 20 08 04.81 +00 25 24.8 21.0V 248835 705 cs4201 2006 09 25.15379 20 08 04.80 +00 25 24.7 21.5 248835 705 cs4201 2006 09 27.08373 20 07 57.17 +00 23 50.9 21.0V 248835 705 cs4201 2006 09 27.08705 20 07 57.17 +00 23 50.8 21.6 248835 705 cs4201 2006 09 29.09640 20 07 50.38 +00 22 14.2 20.9V 248835 705 cs4201 2006 09 29.09972 20 07 50.36 +00 22 13.9 21.6 248835 705 cs4201 2006 10 01.09344 20 07 44.86 +00 20 39.3 20.9V 248835 705 cs4201 2006 10 01.09676 20 07 44.84 +00 20 39.2 22.0 248835 705 cs4201 2006 10 03.15788 20 07 40.40 +00 19 02.7 20.9V 248835 705 cs4201 2006 10 03.16120 20 07 40.39 +00 19 02.6 21.7 248835 705 cs4201 2006 10 11.10804 20 07 35.57 +00 13 10.3 20.9V 248835 705 cs4201 2006 10 11.11136 20 07 35.58 +00 13 10.1 21.6 248835 705 cs4201 2006 10 12.09370 20 07 36.34 +00 12 29.4 20.9V 248835 705 cs4201 2006 10 12.09702 20 07 36.34 +00 12 29.3 21.6 248835 705 cs4201 2006 10 14.14302 20 07 38.88 +00 11 06.1 21.0V 248835 705 cs4201 2006 10 14.14634 20 07 38.88 +00 11 06.1 21.7 248835 705 cs4201 2006 10 20.08427 20 07 53.72 +00 07 24.1 21.0V 248835 705 cs4201 2006 10 20.08759 20 07 53.73 +00 07 24.0 21.9 248835 705 cs4201 2006 10 22.08755 20 08 01.19 +00 06 16.7 20.9V 248835 705 cs4201 2006 10 22.09087 20 08 01.21 +00 06 16.6 21.8 248835 705 cs4201 2006 10 24.07691 20 08 09.86 +00 05 13.5 21.0V 248835 705 cs6534 2006 10 24.08023 20 08 09.88 +00 05 13.3 21.8 248835 705 cs6534 2006 10 29.06920 20 08 36.96 +00 02 54.0 21.0V 248835 705 cs6534 2006 10 29.07252 20 08 36.98 +00 02 53.8 21.8 248835 705 cs6534 2006 11 01.08392 20 08 56.97 +00 01 44.0 21.0V 248835 705 cs6534 2006 11 01.08724 20 08 57.00 +00 01 44.0 21.9 248835 705 cs6534 2006 11 12.06580 20 10 32.22 -00 00 50.9 21.2V 248835 705 ct2321 2006 11 12.06663 20 10 32.23 -00 00 50.8 22.3 248835 705 ct2321 2006 11 13.07792 20 10 42.69 -00 00 56.7 20.9V 248835 705 ct2321 2006 11 13.07875 20 10 42.70 -00 00 56.7 21.6 248835 705 ct2321 2006 11 24.06544 20 12 53.94 -00 00 17.5 21.0V 248835 705 ct2321 2006 11 24.06793 20 12 53.96 -00 00 17.4 21.6 248835 705 ct2321 2006 11 29.06908 20 14 03.61 +00 01 05.6 20.6V 248835 705 ct2321 2006 11 29.06991 20 14 03.63 +00 01 05.3 20.8 248835 705 ct2321 2007 04 27.07471 20 56 45.62 +05 25 31.0 20.5R 248835 461 Cv0164 2007 05 16.43056 20 57 55.02 +06 21 19.7 248835 695 Cv0164 2007 05 16.45340 20 57 55.03 +06 21 23.4 248835 695 Cv0164 2007 05 16.48218 20 57 55.04 +06 21 28.1 248835 695 Cv0164 2007 05 17.46029 20 57 55.57 +06 24 07.2 248835 695 Cv0164 2007 05 17.48550 20 57 55.58 +06 24 11.4 248835 695 Cv0164 2007 08 05.23413 20 45 28.38 +08 17 35.4 20.4R 248835 675 C~0Ayt 2007 08 05.28060 20 45 27.67 +08 17 34.9 20.3R 248835 675 C~0Ayt 2007 08 06.21734 20 45 13.85 +08 17 27.7 20.3R 248835 675 C~0Ayt 2007 08 06.26134 20 45 13.18 +08 17 27.8 20.2R 248835 675 C~0Ayt 2007 08 13.58516 20 43 25.91 +08 15 27.5 20. R 248835 413 Cv3160 2007 08 13.59831 20 43 25.70 +08 15 27.3 248835 413 Cv3160 2007 08 13.61549 20 43 25.44 +08 15 26.7 248835 413 Cv3160 2007 08 13.63308 20 43 25.21 +08 15 26.3 248835 413 Cv3160 2008 04 01.49499 21 19 56.33 +10 44 48.8 20.6V 248835 G96 Cy4747 2008 04 01.50620 21 19 56.47 +10 44 50.7 20.5V 248835 G96 Cy4747 2008 08 21.85394 21 12 22.13 +15 49 51.6 20. R 248835 461 Cz4539 2008 08 21.89071 21 12 21.58 +15 49 49.6 248835 461 Cz4539 2008 08 27.91675 21 10 55.26 +15 45 06.1 19.9R 248835 950 C~01gM 2008 08 27.92539 21 10 55.13 +15 45 05.6 19.9R 248835 950 C~01gM 2008 08 28.90401 21 10 41.50 +15 44 11.5 19.7R 248835 950 C~01gM 2008 08 28.91206 21 10 41.39 +15 44 11.0 19.7R 248835 950 C~01gM 2008 10 24.73403 21 03 45.74 +14 18 18.4 20.5R 248835 461 C~00QC 2008 12 23.70548 21 14 14.47 +13 34 22.9 20. R 248835 461 C~02Pn 2008 12 23.71426 21 14 14.61 +13 34 22.9 248835 461 C~02Pn 2009 08 22.97818 21 46 40.004 +23 28 34.88 20.7V 248835 950 C~0C8E 2009 08 22.98527 21 46 39.887 +23 28 34.61 20.7V 248835 950 C~0C8E 2009 09 12.86788 21 41 35.76 +23 07 46.4 19.5R 248835 461 C~0976 2009 09 12.87448 21 41 35.68 +23 07 45.8 248835 461 C~0976 2009 09 12.88109 21 41 35.60 +23 07 45.1 248835 461 C~0976 2009 09 14.94655 21 41 08.778 +23 04 41.02 20.6V 248835 950 C~0C8E 2009 09 14.94859 21 41 08.73 +23 04 40.5 19.8R 248835 461 C~0976 2009 09 14.95363 21 41 08.688 +23 04 40.27 20.9V 248835 950 C~0C8E 2009 09 14.95739 21 41 08.61 +23 04 39.6 248835 461 C~0976 2009 09 14.96071 21 41 08.604 +23 04 39.78 20.9V 248835 950 C~0C8E 2009 09 14.96625 21 41 08.51 +23 04 38.8 248835 461 C~0976 2009 09 17.09713 21 40 41.700 +23 01 19.74 248835 809 C~0Fmh 2009 09 17.09922 21 40 41.688 +23 01 19.36 248835 809 C~0Fmh 2009 09 17.10277 21 40 41.629 +23 01 19.27 248835 809 C~0Fmh 2009 09 17.10750 21 40 41.598 +23 01 18.55 248835 809 C~0Fmh 2009 09 17.11416 21 40 41.471 +23 01 17.77 248835 809 C~0Fmh 2009 09 17.11622 21 40 41.467 +23 01 17.93 248835 809 C~0Fmh 2009 09 17.11971 21 40 41.422 +23 01 17.35 248835 809 C~0Fmh 2009 09 17.12405 21 40 41.353 +23 01 17.22 248835 809 C~0Fmh 2009 09 17.12701 21 40 41.322 +23 01 16.71 248835 809 C~0Fmh 2009 09 19.10615 21 40 17.222 +22 58 02.58 248835 809 C~0Fmh 2009 09 19.10712 21 40 17.261 +22 58 02.13 248835 809 C~0Fmh 2009 09 19.10843 21 40 17.238 +22 58 02.18 248835 809 C~0Fmh 2009 09 19.10986 21 40 17.217 +22 58 02.19 248835 809 C~0Fmh 2009 09 19.11100 21 40 17.203 +22 58 01.90 248835 809 C~0Fmh 2009 10 01.13340 21 38 11.113 +22 35 59.15 248835 809 C~0BHD 2009 10 01.14146 21 38 11.066 +22 35 58.39 248835 809 C~0BHD 2009 10 01.14550 21 38 11.000 +22 35 57.31 248835 809 C~0BHD 2009 10 01.14830 21 38 10.999 +22 35 57.31 248835 809 C~0X53 2009 10 01.16574 21 38 10.863 +22 35 55.83 248835 809 C~0X53 2009 12 28.75016 21 46 15.52 +20 25 38.3 20. R 248835 461 C~0CrM 2010 06 14.26942 22 36 12.71 +28 28 39.6 248835 C51 S~0J9J 2010 06 14.401723 22 36 12.84 +28 29 06.4 248835 C51 S~0J9J 2010 06 14.66633 22 36 13.24 +28 30 00.3 248835 C51 S~0J9J 2010 06 14.732420 22 36 13.12 +28 30 17.2 248835 C51 S~0J9J 2010 06 14.732547 22 36 13.06 +28 30 15.2 248835 C51 S~0J9J 2010 06 14.79864 22 36 13.29 +28 30 29.0 248835 C51 S~0J9J 2010 06 14.86472 22 36 13.31 +28 30 42.8 248835 C51 S~0J9J 2010 06 14.930939 22 36 13.30 +28 30 58.0 248835 C51 S~0J9J 2010 06 14.997028 22 36 13.15 +28 31 10.7 248835 C51 S~0J9J 2010 06 14.99705 22 36 13.24 +28 31 11.9 20. R 248835 461 C~0Mdw 2010 06 15.01244 22 36 13.26 +28 31 14.7 248835 461 C~0Mdw 2010 06 15.06324 22 36 13.21 +28 31 24.3 248835 C51 S~0J9J 2010 06 15.261635 22 36 13.43 +28 32 07.6 248835 C51 S~0J9J 2010 06 15.393939 22 36 13.37 +28 32 33.4 248835 C51 S~0J9J 2010 06 15.52624 22 36 13.52 +28 33 01.1 248835 C51 S~0J9J 2010 08 06.96471 22 29 36.91 +30 35 57.3 20.2V 248835 A74 C~0Lmc 2010 08 07.00353 22 29 36.34 +30 35 59.5 20.2V 248835 A74 C~0Lmc 2010 08 07.04237 22 29 35.78 +30 36 01.6 20.5V 248835 A74 C~0Lmc 2011 12 26.09720 22 58 03.95 +33 11 41.2 19.6R 248835 688 C~0bve 2011 12 26.12547 22 58 04.34 +33 11 38.7 248835 688 C~0bve 2012 08 15.52382 23 59 35.75 +41 59 01.8 20.3R 248835 F65 C~0iD2 2012 08 15.54958 23 59 35.50 +41 59 04.0 19.9R 248835 F65 C~0iD2 2017 12 20.28751 03 38 49.963 +44 33 08.29 21.2R 248835 G37 C~2VOp 2018 09 09.48200 04 33 56.453 +42 53 46.25 248835 568 C~2lEA 2018 09 09.48325 04 33 56.472 +42 53 46.10 248835 568 C~2lEA 2018 09 09.48442 04 33 56.489 +42 53 46.25 248835 568 C~2lEA 2018 09 09.61840 04 33 56.779 +42 53 53.45 248835 568 C~2lEA 2018 09 11.43769 04 34 00.732 +42 55 27.97 248835 568 C~2lEA 2018 09 11.44255 04 34 00.724 +42 55 28.24 248835 568 C~2lEA 2018 09 11.44350 04 34 00.725 +42 55 28.33 248835 568 C~2lEA 2018 09 11.44444 04 34 00.731 +42 55 28.19 248835 568 C~2lEA 2018 09 11.44540 04 34 00.733 +42 55 28.44 248835 568 C~2lEA 2018 09 11.61755 04 34 01.001 +42 55 37.55 248835 568 C~2lEA 2018 09 12.63632 04 34 02.612 +42 56 29.65 248835 568 C~2lEA
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 0.12 0.00 -0.12
2 0.0000 0.00 0.02 0.00 -0.06
3 0.0109 0.00 0.03 0.00 -0.04
4 0.0109 0.00 0.18 0.00 -0.07
5 0.0247 0.00 0.02 0.00 -0.10
6 0.0247 0.00 0.09 0.00 -0.04
7 0.0300 0.00 0.08 0.00 -0.14
8 0.0300 0.00 0.27 0.00 -0.08
9 0.0355 0.00 0.08 0.00 -0.02
10 0.0355 0.00 -0.06 0.00 -0.16
11 0.0410 0.00 0.12 0.00 -0.03
12 0.0410 0.00 -0.04 0.00 0.03
13 0.0466 0.00 -0.03 0.00 -0.06
14 0.0466 0.00 -0.08 0.00 -0.01
15 0.0684 0.00 -0.01 0.00 -0.11
16 0.0684 0.00 0.13 0.00 -0.17
17 0.0711 0.00 0.06 0.00 0.03
18 0.0711 0.00 0.03 0.00 0.07
19 0.0767 0.00 0.04 0.00 -0.13
20 0.0767 0.00 -0.03 0.00 0.01
21 0.0930 0.00 0.15 0.00 -0.17
22 0.0930 0.00 0.14 0.00 -0.15
23 0.0984 0.00 -0.01 0.00 0.05
24 0.0985 0.00 0.10 0.00 0.06
25 0.1039 0.00 0.05 0.00 -0.00
26 0.1039 0.00 0.13 0.00 -0.10
27 0.1176 0.00 0.04 0.00 -0.05
28 0.1176 0.00 0.04 0.00 -0.17
29 0.1258 0.00 0.01 0.00 -0.03
30 0.1258 0.00 0.12 0.00 0.04
31 0.1559 0.00 0.14 0.00 -0.13
32 0.1559 0.00 0.16 0.00 -0.03
33 0.1587 0.00 -0.03 0.00 -0.16
34 0.1587 0.00 -0.00 0.00 -0.15
35 0.1887 0.00 0.16 0.00 0.02
36 0.1887 0.00 -0.03 0.00 0.09
37 0.2024 0.00 -0.03 0.00 0.11
38 0.2024 0.00 0.09 0.00 -0.21
39 0.6104 0.00 -0.37 0.00 0.22
40 0.6634 0.00 -0.02 0.00 0.19
41 0.6634 0.00 -0.03 0.00 0.15
42 0.6635 0.00 -0.08 0.00 0.15
43 0.6662 0.00 0.04 0.00 0.11
44 0.6663 0.00 0.14 0.00 0.22
45 0.8846 0.00 0.06 0.00 0.29
46 0.8847 0.00 -0.10 0.00 0.07
47 0.8873 0.00 0.17 0.00 -0.19
48 0.8874 0.00 0.03 0.00 0.27
49 0.9075 0.00 -0.13 0.00 0.02
50 0.9075 0.00 -0.38 0.00 0.14
51 0.9076 0.00 -0.49 0.00 -0.04
52 0.9076 0.00 -0.06 0.00 -0.01
53 1.5424 0.00 0.11 0.00 0.25
54 1.5424 0.00 -0.33 0.00 -0.19
55 1.9322 0.00 -0.07 0.00 0.31
56 1.9323 0.00 -0.13 0.00 -0.23
57 1.9488 0.00 -0.10 0.00 0.21
58 1.9488 0.00 -0.20 0.00 0.17
59 1.9515 0.00 -0.18 0.00 0.22
60 1.9515 0.00 -0.12 0.00 0.17
61 2.1071 0.00 -0.54 0.00 -0.06
62 2.2713 0.00 -0.33 0.00 0.21
63 2.2713 0.00 -0.62 0.00 0.01
64 2.9346 0.00 0.03 0.00 0.16
65 2.9346 0.00 -0.05 0.00 0.10
66 2.9918 0.00 -0.47 0.00 0.05
67 2.9918 0.00 -0.34 0.00 0.02
68 2.9918 0.00 -0.21 0.00 -0.11
69 2.9974 0.00 -0.06 0.00 0.14
70 2.9974 0.00 0.01 0.00 0.08
71 2.9975 0.00 -0.02 0.00 0.03
72 2.9975 0.00 -0.07 0.00 -0.01
73 2.9975 0.00 0.11 0.00 0.19
74 2.9975 0.00 0.15 0.00 0.01
75 3.0033 0.00 -0.06 0.00 0.17
76 3.0033 0.00 0.15 0.00 -0.01
77 3.0033 0.00 -0.06 0.00 0.24
78 3.0034 0.00 0.38 0.00 -0.02
79 3.0034 0.00 -0.26 0.00 -0.16
80 3.0034 0.00 0.07 0.00 0.20
81 3.0034 0.00 0.06 0.00 -0.05
82 3.0034 0.00 -0.15 0.00 0.24
83 3.0034 0.00 -0.05 0.00 0.01
84 3.0088 0.00 -0.72 0.00 0.26
85 3.0088 0.00 0.04 0.00 -0.09
86 3.0088 0.00 -0.06 0.00 0.09
87 3.0088 0.00 -0.11 0.00 0.24
88 3.0088 0.00 -0.11 0.00 0.07
89 3.0418 0.00 -0.17 0.00 0.09
90 3.0418 0.00 0.24 0.00 0.29
91 3.0418 0.00 -0.20 0.00 -0.31
92 3.0418 0.00 0.17 0.00 0.02
93 3.0418 0.00 0.53 0.00 0.62
94 3.2844 0.00 -0.01 0.00 0.58
95 3.7430 0.00 0.35 0.00 0.36
96 3.7434 0.00 0.63 0.00 -0.66
97 3.7441 0.00 ( 3.55) 0.00 ( -2.31)
98 3.7443 0.00 1.03 0.00 0.74
99 3.7443 0.00 0.13 0.00 -1.29
100 3.7445 0.00 ( 2.89) 0.00 ( -1.33)
101 3.7447 0.00 ( 2.52) 0.00 ( -1.37)
102 3.7448 0.00 1.72 0.00 -0.03
103 3.7450 0.00 -1.16 0.00 -1.15
104 3.7450 0.00 -0.28 0.00 0.40
105 3.7451 0.00 -0.09 0.00 -0.04
106 3.7452 0.00 -0.86 0.00 -1.39
107 3.7457 0.00 0.75 0.00 0.49
108 3.7461 0.00 -1.16 0.00 -1.30
109 3.7465 0.00 0.16 0.00 -1.15
110 3.8900 0.00 -0.08 0.00 -0.01
111 3.8901 0.00 -0.29 0.00 -0.01
112 3.8902 0.00 -0.34 0.00 -0.08
113 5.2757 0.00 -0.01 0.00 -0.04
114 5.2758 0.00 -0.21 0.00 0.06
115 5.9148 0.00 -0.47 0.00 0.41
116 5.9149 0.00 0.33 0.00 0.32
117 11.2612 0.00 0.07 0.00 0.01
118 11.9818 0.00 -0.31 0.00 0.17
119 11.9818 0.00 -0.07 0.00 -0.05
120 11.9818 0.00 0.14 0.00 0.04
121 11.9822 0.00 -0.02 0.00 -0.01
122 11.9872 0.00 0.21 0.00 -0.05
123 11.9872 0.00 -0.03 0.00 -0.04
124 11.9872 0.00 -0.04 0.00 -0.00
125 11.9872 0.00 0.02 0.00 -0.19
126 11.9872 0.00 0.03 0.00 0.01
127 11.9876 0.00 -0.02 0.00 -0.00
128 11.9904 0.00 0.02 0.00 0.04
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.
248835 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 22.091 22.091 22.091 ecceobj 0.460 0.460 0.460 incobj 36.328 36.328 36.328 qmin 11.429 11.538 11.529 qmax 34.151 33.387 33.330 amean 22.468 22.284 22.287 amin 21.993 21.819 22.081 amax 22.920 22.576 22.568 emean 0.470 0.444 0.434 emin 0.428 0.407 0.385 emax 0.498 0.482 0.482 imean 37.937 38.721 39.153 imin 36.957 37.037 36.998 imax 40.012 40.173 41.098 excite_mean 0.774 0.768 0.767 fracstop 0.022 0.031 0.033 cjmean 2.548 2.560 2.559 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 115.2 140.0 134.4 kozaiamp 42.8 68.6 61.6