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: 506028 # Created Sun Dec 22 02:07:15 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 123 observations of 123 # Arc: 10.50y # First observation: 2014/05/30 # Last observation: 2024/11/29 # Chi-squared of fit: 357.20 DOF: 240 RMS: 0.30 # Min/Max residuals: -1.31 1.06 # Exact a, adot, b, bdot, g, gdot: 3.695700E-05 3.597766E-01 2.148758E-05 1.997596E-01 1.574220E-01 -2.525491E-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 14.103755 -53.708229 0.855712 0.132957 -0.528999 2456807.856308 # Heliocentric elements and errors Epoch: 2456808.5000 = 2014/05/31 Mean Anomaly: 335.59817 +/- 0.000 Argument of Peri: 63.16137 +/- 0.000 Long of Asc Node: 278.57812 +/- 0.000 Inclination: 33.26556 +/- 0.000 Eccentricity: 0.23222788 +/- 0.0000 Semi-Major Axis: 8.64840183 +/- 0.0000 Time of Perihelion: 2457438.1831 +/- 0.0 Perihelion: 6.64000181 +/- 0.0000 Aphelion: 10.65680184 +/- 0.0000 Period (y) 25.4338 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 3.27807443 +/- 0.0000 Ecliptic Y -5.90988851 +/- 0.0000 Ecliptic Z 1.54813350 +/- 0.0000 Ecliptic XDOT 0.00451180 +/- 0.0000 Ecliptic YDOT 0.00441665 +/- 0.0000 Ecliptic ZDOT 0.00335887 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 6.93323233 +/- 0.0000 Geocenter to KBO 6.35236742 +/- 0.0000 # Hcoef: 11.88
The following table shows the complete astrometric record for 506028. 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 (506028) followed by the observatory code and reference code for the source of the astrometry.
2014 05 30.35553 20 20 45.09 -05 00 46.1 20.4V 506028 G96 C~1T2U 2014 05 30.36023 20 20 45.06 -05 00 45.0 20.1V 506028 G96 C~1T2U 2014 05 30.36489 20 20 44.99 -05 00 44.0 20.3V 506028 G96 C~1T2U 2014 05 30.36955 20 20 44.96 -05 00 42.9 20.2V 506028 G96 C~1T2U 2014 05 31.53609 20 20 33.729 -04 56 51.34 20.6w 506028 F51 C~1T2U 2014 05 31.54913 20 20 33.588 -04 56 48.80 20.5w 506028 F51 C~1T2U 2014 05 31.56219 20 20 33.447 -04 56 46.21 20.7w 506028 F51 C~1T2U 2014 05 31.57526 20 20 33.310 -04 56 43.70 20.8w 506028 F51 C~1T2U 2014 06 30.44112 20 12 06.186 -03 37 24.47 20.4w 506028 F51 C~1T2U 2014 06 30.45369 20 12 05.891 -03 37 23.04 20.5w 506028 F51 C~1T2U 2015 04 23.46548 21 24 33.17 +07 18 33.8 21.1V 506028 691 C~1RND 2015 04 23.47725 21 24 33.35 +07 18 39.4 20.8V 506028 691 C~1RND 2015 04 23.48902 21 24 33.62 +07 18 42.6 20.7V 506028 691 C~1RND 2015 04 28.46183 21 26 08.32 +07 49 16.7 20.8V 506028 691 C~1RND 2015 04 28.47066 21 26 08.44 +07 49 20.5 20.4V 506028 691 C~1RND 2015 04 28.47945 21 26 08.61 +07 49 23.2 20.8V 506028 691 C~1RND 2015 04 29.43424 21 26 25.54 +07 55 14.8 20.7R 506028 291 C~1RND 2015 04 29.43819 21 26 25.60 +07 55 15.5 21.0R 506028 926 C~1RND 2015 04 29.44727 21 26 25.79 +07 55 19.3 20.6R 506028 291 C~1RND 2015 04 29.44935 21 26 25.82 +07 55 20.4 20.8R 506028 926 C~1RND 2015 04 29.46030 21 26 26.00 +07 55 24.2 20.3R 506028 291 C~1RND 2015 04 29.46045 21 26 26.00 +07 55 24.3 20.5R 506028 926 C~1RND 2015 04 30.44337 21 26 42.92 +08 01 25.7 506028 291 C~1RND 2015 04 30.44598 21 26 42.96 +08 01 26.9 20.9R 506028 926 C~1RND 2015 04 30.45508 21 26 43.11 +08 01 30.0 506028 291 C~1RND 2015 04 30.45862 21 26 43.14 +08 01 32.2 20.6R 506028 926 C~1RND 2015 04 30.46662 21 26 43.32 +08 01 34.6 506028 291 C~1RND 2015 04 30.47138 21 26 43.45 +08 01 35.8 20.4R 506028 926 C~1RND 2015 06 04.54525 21 31 27.897 +11 25 43.74 20.1i 506028 F51 C~1T2U 2015 06 04.55668 21 31 27.872 +11 25 47.34 20.1i 506028 F51 C~1T2U 2015 06 04.56810 21 31 27.844 +11 25 51.08 20.3i 506028 F51 C~1T2U 2015 06 04.57972 21 31 27.816 +11 25 54.68 20.1i 506028 F51 C~1T2U 2015 06 05.53963 21 31 26.316 +11 30 58.45 20.1i 506028 F51 C~1T2U 2015 06 05.56244 21 31 26.251 +11 31 05.78 20.2i 506028 F51 C~1T2U 2015 06 05.57395 21 31 26.231 +11 31 09.36 20.3i 506028 F51 C~1T2U 2015 06 11.38281 21 31 06.03 +12 00 52.2 506028 691 C~1T2U 2015 06 11.39984 21 31 05.85 +12 00 57.5 20.7V 506028 691 C~1T2U 2015 06 11.41687 21 31 05.78 +12 01 02.9 20.8V 506028 691 C~1T2U 2015 07 08.58240 21 25 32.454 +13 53 05.16 20.0i 506028 F51 C~1UFz 2015 07 08.59050 21 25 32.300 +13 53 06.98 20.0i 506028 F51 C~1UFz 2015 07 08.59858 21 25 32.149 +13 53 08.53 20.0i 506028 F51 C~1UFz 2015 07 08.60663 21 25 31.985 +13 53 10.06 19.9i 506028 F51 C~1UFz 2015 07 10.27045 21 25 00.19 +13 58 16.0 19.8R 506028 H36 C~1UFz 2015 07 10.30278 21 24 59.61 +13 58 20.9 19.9R 506028 H36 C~1UFz 2015 09 08.55668 21 00 48.36 +14 19 07.2 20.9R 506028 D29 C~1Wks 2015 09 08.56903 21 00 48.16 +14 19 05.1 20.2R 506028 D29 C~1Wks 2016 05 27.40693 22 48 01.48 +24 57 47.0 20.7V 506028 691 C~1tb0 2016 05 27.42219 22 48 01.69 +24 57 53.1 20.7V 506028 691 C~1tb0 2016 05 27.43740 22 48 01.95 +24 57 59.6 20.3V 506028 691 C~1tb0 2016 06 07.35103 22 50 29.24 +26 11 39.4 506028 691 C~1u6P 2016 06 07.35752 22 50 29.30 +26 11 42.0 506028 691 C~1u6P 2016 06 07.36399 22 50 29.34 +26 11 45.7 21.0V 506028 691 C~1u6P 2016 06 19.55991 22 51 57.304 +27 29 51.62 20.2i 506028 F51 C~1unO 2016 06 19.57030 22 51 57.331 +27 29 55.51 20.2i 506028 F51 C~1unO 2016 06 19.58072 22 51 57.383 +27 29 59.48 20.2i 506028 F51 C~1unO 2016 06 19.59121 22 51 57.392 +27 30 03.24 20.2i 506028 F51 C~1unO 2016 07 14.26815 22 50 32.27 +29 44 39.6 21.0V 506028 691 C~1vYb 2016 07 14.27745 22 50 32.13 +29 44 42.7 20.8V 506028 691 C~1vYb 2016 07 14.28675 22 50 32.05 +29 44 44.9 20.5V 506028 691 C~1vYb 2016 08 25.58403 22 36 14.58 +31 29 26.3 20.7R 506028 D29 C~1wzC 2016 08 25.61232 22 36 13.68 +31 29 26.7 21.0R 506028 D29 C~1wzC 2016 09 02.59505 22 32 39.19 +31 26 23.2 20.4R 506028 D29 C~1xhY 2016 09 02.61096 22 32 38.76 +31 26 22.1 20.4R 506028 D29 C~1xhY 2016 09 02.62687 22 32 38.33 +31 26 21.7 20.2R 506028 D29 C~1xhY 2016 09 21.51086 22 24 36.21 +30 51 22.9 20.0R 506028 D29 C~1yHB 2016 09 21.52854 22 24 35.81 +30 51 20.9 20.6R 506028 D29 C~1yHB 2017 06 13.41629 00 22 54.20 +36 57 51.5 20.0R 506028 695 C~2Gig 2017 06 13.42682 00 22 54.45 +36 57 55.9 20.1R 506028 695 C~2Gig 2017 06 13.43735 00 22 54.72 +36 58 00.1 19.8R 506028 695 C~2Gig 2017 10 02.34493 00 11 49.70 +43 00 20.8 20.7V 506028 G96 C~2MbP 2017 10 02.35909 00 11 49.29 +43 00 18.6 20.1V 506028 G96 C~2MbP 2017 10 02.36342 00 11 49.17 +43 00 17.5 20.0V 506028 G96 C~2MbP 2017 10 02.37044 00 11 48.98 +43 00 17.3 20.0V 506028 G96 C~2MbP 2017 10 03.43110 00 11 19.485 +42 57 57.41 19.8i 506028 F51 C~2MbP 2017 10 03.44259 00 11 19.151 +42 57 55.81 20.1i 506028 F51 C~2MbP 2017 10 03.45409 00 11 18.824 +42 57 54.30 20.2i 506028 F51 C~2MbP 2017 10 03.46556 00 11 18.486 +42 57 52.60 20.0i 506028 F51 C~2MbP 2017 10 10.24712 00 08 14.15 +42 40 00.9 20.3G 506028 G96 C~2MbP 2017 10 10.25318 00 08 13.97 +42 40 00.0 20.2G 506028 G96 C~2MbP 2017 10 10.25911 00 08 13.83 +42 39 59.0 20.2G 506028 G96 C~2MbP 2017 10 10.26473 00 08 13.69 +42 39 57.6 20.4G 506028 G96 C~2MbP 2017 10 28.26056 00 01 14.536 +41 31 39.05 20.2i 506028 F51 C~2OlA 2017 10 28.26966 00 01 14.358 +41 31 36.82 20.2i 506028 F51 C~2OlA 2017 10 28.27876 00 01 14.177 +41 31 34.59 20.2i 506028 F51 C~2OlA 2017 10 28.28787 00 01 13.995 +41 31 31.96 20.2i 506028 F51 C~2OlA 2017 11 20.22955 23 56 33.747 +39 38 40.19 20.5w 506028 F51 C~2Rdz 2017 11 20.24163 23 56 33.689 +39 38 36.53 20.4w 506028 F51 C~2Rdz 2017 11 20.25376 23 56 33.629 +39 38 32.88 20.4w 506028 F51 C~2Rdz 2017 11 20.26592 23 56 33.555 +39 38 29.10 20.4w 506028 F51 C~2Rdz 2017 12 09.20916 23 57 12.792 +38 04 46.81 20.8w 506028 F51 C~2TFj 2017 12 09.22126 23 57 12.888 +38 04 43.42 20.8w 506028 F51 C~2TFj 2017 12 09.23336 23 57 12.992 +38 04 40.05 20.9w 506028 F51 C~2TFj 2017 12 09.24553 23 57 13.082 +38 04 36.64 20.9w 506028 F51 C~2TFj 2017 12 24.21927 00 00 36.986 +37 01 06.17 20.8w 506028 F51 C~2Uag 2017 12 24.23131 00 00 37.201 +37 01 03.59 20.8w 506028 F51 C~2Uag 2017 12 24.24338 00 00 37.412 +37 01 00.60 20.9w 506028 F51 C~2Uag 2017 12 24.25546 00 00 37.636 +37 00 57.92 20.6w 506028 F51 C~2Uag 2018 01 07.22626 00 05 51.731 +36 14 56.31 20.9w 506028 F51 C~2VU7 2018 01 07.23765 00 05 52.024 +36 14 54.38 21.1w 506028 F51 C~2VU7 2018 01 07.24910 00 05 52.328 +36 14 52.50 20.9w 506028 F51 C~2VU7 2018 01 07.26055 00 05 52.620 +36 14 50.52 21.0w 506028 F51 C~2VU7 2018 12 09.06089 01 51 43.36 +44 05 32.3 20.6G 506028 G96 C~2xz6 2018 12 09.06647 01 51 43.27 +44 05 30.3 20.8G 506028 G96 C~2xz6 2018 12 09.07206 01 51 43.17 +44 05 28.6 20.7G 506028 G96 C~2xz6 2018 12 09.07765 01 51 43.12 +44 05 26.6 20.8G 506028 G96 C~2xz6 2021 01 06.224142 04 59 08.55 +35 28 23.9 21.2G 506028 G96 C~4Y97 2021 01 06.232103 04 59 08.39 +35 28 22.9 21.5G 506028 G96 C~4Y97 2021 01 06.238673 04 59 08.21 +35 28 21.3 21.1G 506028 G96 C~4Y97 2021 01 06.243799 04 59 08.13 +35 28 21.0 21.1G 506028 G96 C~4Y97 2021 12 01.447762 06 18 09.73 +28 35 55.4 21.6G 506028 V00 C~5It9 2021 12 01.452642 06 18 09.63 +28 35 55.0 21.6G 506028 V00 C~5It9 2021 12 01.457506 06 18 09.52 +28 35 54.7 21.5G 506028 V00 C~5It9 2021 12 01.462374 06 18 09.40 +28 35 54.3 21.5G 506028 V00 C~5It9 2022 11 01.509130 07 11 23.054 +20 43 05.64 21.8w 506028 F52 C~62kd 2022 11 01.521138 07 11 23.000 +20 43 04.89 21.7w 506028 F52 C~62kd 2022 11 01.533127 07 11 22.942 +20 43 04.14 21.8w 506028 F52 C~62kd 2023 12 05.587389 07 43 01.816 +12 06 38.35 21.8w 506028 F52 C~7b08 2023 12 05.599105 07 43 01.652 +12 06 37.34 21.8w 506028 F52 C~7b08 2023 12 05.610819 07 43 01.478 +12 06 36.66 21.5w 506028 F52 C~7b08 2023 12 05.622547 07 43 01.302 +12 06 35.96 21.6w 506028 F52 C~7b08 2024 11 29.559521 08 17 02.719 +04 43 46.82 21.7w 506028 F52 C~8W6b 2024 11 29.570506 08 17 02.625 +04 43 46.15 22.1w 506028 F52 C~8W6b 2024 11 29.592519 08 17 02.387 +04 43 43.64 21.7w 506028 F52 C~8W6b
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 -0.10 0.00 -0.32
2 0.0000 0.00 0.14 0.00 -0.16
3 0.0000 0.00 -0.24 0.00 -0.09
4 0.0000 0.00 -0.01 0.00 0.08
5 0.0032 0.00 0.04 0.00 -0.06
6 0.0033 0.00 -0.03 0.00 -0.09
7 0.0033 0.00 -0.09 0.00 -0.07
8 0.0033 0.00 -0.09 0.00 -0.14
9 0.0851 0.00 -0.06 0.00 -0.08
10 0.0851 0.00 -0.06 0.00 -0.12
11 0.8983 0.00 0.41 0.00 -0.32
12 0.8983 0.00 -0.40 0.00 0.93
13 0.8984 0.00 0.15 0.00 -0.22
14 0.9120 0.00 0.02 0.00 0.21
15 0.9120 0.00 -0.52 0.00 0.75
16 0.9120 0.00 -0.29 0.00 0.21
17 0.9147 0.00 0.06 0.00 0.41
18 0.9147 0.00 -0.06 0.00 -0.36
19 0.9147 0.00 0.44 0.00 0.10
20 0.9147 0.00 0.36 0.00 0.42
21 0.9147 0.00 0.24 0.00 0.20
22 0.9147 0.00 0.20 0.00 0.23
23 0.9174 0.00 -0.18 0.00 0.19
24 0.9174 0.00 -0.24 0.00 0.42
25 0.9175 0.00 -0.27 0.00 0.18
26 0.9175 0.00 -0.71 0.00 1.06
27 0.9175 0.00 -0.01 0.00 0.53
28 0.9175 0.00 0.75 0.00 -0.04
29 1.0135 0.00 0.18 0.00 -0.01
30 1.0136 0.00 0.11 0.00 -0.05
31 1.0136 0.00 0.00 0.00 0.05
32 1.0136 0.00 -0.10 0.00 -0.04
33 1.0162 0.00 0.08 0.00 -0.06
34 1.0163 0.00 -0.08 0.00 0.06
35 1.0163 0.00 0.03 0.00 0.01
36 1.0322 0.00 0.93 0.00 -0.65
37 1.0323 0.00 -0.36 0.00 -0.45
38 1.0323 0.00 0.01 0.00 -0.15
39 1.1067 0.00 -0.02 0.00 -0.20
40 1.1067 0.00 0.02 0.00 0.10
41 1.1068 0.00 0.10 0.00 0.14
42 1.1068 0.00 -0.02 0.00 0.16
43 1.1113 0.00 -0.10 0.00 0.58
44 1.1114 0.00 0.87 0.00 -0.35
45 1.2764 0.00 -0.32 0.00 -0.19
46 1.2764 0.00 0.50 0.00 -0.84
47 1.9933 0.00 0.21 0.00 0.15
48 1.9933 0.00 -0.31 0.00 -0.07
49 1.9934 0.00 -0.06 0.00 0.14
50 2.0233 0.00 0.08 0.00 -0.60
51 2.0233 0.00 -0.03 0.00 -0.59
52 2.0233 0.00 -0.44 0.00 0.52
53 2.0567 0.00 -0.09 0.00 -0.06
54 2.0567 0.00 -0.19 0.00 -0.03
55 2.0567 0.00 0.09 0.00 0.08
56 2.0568 0.00 -0.28 0.00 -0.05
57 2.1243 0.00 0.07 0.00 0.03
58 2.1244 0.00 -0.52 0.00 0.54
59 2.1244 0.00 -0.19 0.00 0.14
60 2.2402 0.00 0.66 0.00 -0.24
61 2.2403 0.00 -1.31 0.00 -0.04
62 2.2621 0.00 -0.07 0.00 0.27
63 2.2622 0.00 0.04 0.00 -0.04
64 2.2622 0.00 0.16 0.00 0.36
65 2.3139 0.00 -0.76 0.00 -1.19
66 2.3140 0.00 -0.47 0.00 -0.30
67 3.0392 0.00 -0.33 0.00 -0.19
68 3.0392 0.00 -0.49 0.00 0.19
69 3.0392 0.00 -0.34 0.00 0.37
70 3.3429 0.00 0.51 0.00 0.25
71 3.3429 0.00 0.42 0.00 -0.10
72 3.3429 0.00 0.47 0.00 -0.63
73 3.3430 0.00 0.62 0.00 0.09
74 3.3459 0.00 0.15 0.00 0.02
75 3.3459 0.00 0.06 0.00 -0.01
76 3.3459 0.00 0.07 0.00 0.06
77 3.3460 0.00 -0.10 0.00 -0.06
78 3.3645 0.00 0.05 0.00 -0.22
79 3.3645 0.00 -0.18 0.00 -0.03
80 3.3646 0.00 0.14 0.00 0.03
81 3.3646 0.00 0.33 0.00 -0.36
82 3.4138 0.00 -0.05 0.00 -0.18
83 3.4139 0.00 -0.00 0.00 0.01
84 3.4139 0.00 -0.00 0.00 0.20
85 3.4139 0.00 -0.01 0.00 0.00
86 3.4767 0.00 -0.00 0.00 0.02
87 3.4768 0.00 0.09 0.00 0.07
88 3.4768 0.00 0.15 0.00 0.14
89 3.4768 0.00 0.01 0.00 0.09
90 3.5287 0.00 0.01 0.00 0.05
91 3.5287 0.00 0.00 0.00 0.03
92 3.5288 0.00 0.11 0.00 0.03
93 3.5288 0.00 0.01 0.00 0.02
94 3.5698 0.00 0.10 0.00 -0.05
95 3.5698 0.00 0.11 0.00 0.13
96 3.5699 0.00 0.05 0.00 -0.10
97 3.5699 0.00 0.17 0.00 -0.01
98 3.6081 0.00 0.11 0.00 -0.00
99 3.6082 0.00 0.09 0.00 -0.00
100 3.6082 0.00 0.21 0.00 0.06
101 3.6082 0.00 0.15 0.00 0.02
102 4.5276 0.00 0.48 0.00 0.44
103 4.5276 0.00 0.24 0.00 0.11
104 4.5276 0.00 -0.14 0.00 0.08
105 4.5276 0.00 0.22 0.00 -0.24
106 6.6061 0.00 -0.31 0.00 -0.15
107 6.6061 0.00 -0.05 0.00 0.15
108 6.6061 0.00 -0.56 0.00 -0.38
109 6.6061 0.00 -0.05 0.00 0.15
110 7.5074 0.00 -0.04 0.00 0.24
111 7.5075 0.00 0.13 0.00 0.10
112 7.5075 0.00 0.15 0.00 0.07
113 7.5075 0.00 0.01 0.00 -0.06
114 8.4248 0.00 0.04 0.00 0.09
115 8.4248 0.00 0.14 0.00 0.18
116 8.4249 0.00 0.18 0.00 0.26
117 9.5174 0.00 -0.08 0.00 0.09
118 9.5174 0.00 0.10 0.00 -0.14
119 9.5175 0.00 0.12 0.00 -0.03
120 9.5175 0.00 0.12 0.00 0.06
121 10.5030 0.00 0.02 0.00 -0.19
122 10.5030 0.00 0.22 0.00 0.26
123 10.5030 0.00 -0.14 0.00 -0.00
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.
506028 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 8.678 8.678 8.678 ecceobj 0.233 0.233 0.233 incobj 33.218 33.218 33.218 qmin 6.557 6.557 6.557 qmax 10.703 10.703 10.703 amean 8.639 8.638 8.639 amin 8.599 8.599 8.599 amax 8.678 8.678 8.678 emean 0.235 0.235 0.235 emin 0.233 0.233 0.233 emax 0.237 0.237 0.237 imean 34.810 34.810 34.809 imin 34.778 34.778 34.778 imax 34.841 34.842 34.840 excite_mean 0.617 0.617 0.617 fracstop 0.000 0.000 0.000 cjmean 4.335 4.335 4.335 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 64.0 64.0 64.0 kozaiamp 0.9 0.9 0.9