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: 13PU74
# Created Sun Dec 22 02:09:30 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 116 observations of 116
# Arc: 9.22y
# First observation: 2011/07/25
# Last observation: 2020/10/14
# Chi-squared of fit: 71.92 DOF: 226 RMS: 0.14
# Min/Max residuals: -0.52 0.43
# Exact a, adot, b, bdot, g, gdot:
2.916427E-05 1.190805E-01 -5.856453E-06 -2.658889E-02 6.479907E-02 -1.970705E-02
# Covariance matrix:
7.7825E-14 -2.2457E-14 -1.0109E-14 3.7856E-15 -4.1565E-15 -6.8880E-15
-2.2457E-14 7.6351E-15 3.8204E-15 -1.4293E-15 2.6300E-15 2.5539E-15
-1.0109E-14 3.8204E-15 3.5169E-14 -6.2855E-15 8.0536E-16 1.5566E-15
3.7856E-15 -1.4293E-15 -6.2855E-15 1.4251E-15 -2.8383E-16 -5.8384E-16
-4.1565E-15 2.6300E-15 8.0536E-16 -2.8383E-16 1.4471E-14 -1.0878E-16
-6.8880E-15 2.5539E-15 1.5566E-15 -5.8384E-16 -1.0878E-16 1.0954E-15
# lat0 lon0 xBary yBary zBary JD0
1.728271 -52.941588 0.092893 0.030402 -1.009532 2455767.939216
# Heliocentric elements and errors
Epoch: 2455768.5000 = 2011/07/26
Mean Anomaly: 352.78552 +/- 0.165
Argument of Peri: 200.11073 +/- 0.000
Long of Asc Node: 133.96339 +/- 0.000
Inclination: 12.70305 +/- 0.000
Eccentricity: 0.53560736 +/- 0.0001
Semi-Major Axis: 34.01368987 +/- 0.0000
Time of Perihelion: 2457220.5496 +/- 33.1
Perihelion: 15.79570726 +/- 0.0043
Aphelion: 52.23167249 +/- 0.0043
Period (y) 198.3759 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 9.83441833 +/- 0.0001
Ecliptic Y -13.17091539 +/- 0.0001
Ecliptic Z 0.46538812 +/- 0.0000
Ecliptic XDOT 0.00353114 +/- 0.0000
Ecliptic YDOT 0.00367474 +/- 0.0000
Ecliptic ZDOT -0.00114796 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 16.44408384 +/- 0.0001
Geocenter to KBO 15.43242613 +/- 0.0001
# Hcoef: 10.28
The following table shows the complete astrometric record for 13PU74. 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 (13PU74) followed by the observatory code and reference code for the source of the astrometry.
2011 07 25.43845 20 36 00.109 -16 50 06.66 22.6w 13PU74 F51 C~1vX1 2011 07 25.45367 20 35 59.952 -16 50 07.31 22.5w 13PU74 F51 C~1vX1 2011 07 25.46888 20 35 59.785 -16 50 08.12 22.3w 13PU74 F51 C~1vX1 2011 07 25.48406 20 35 59.611 -16 50 08.94 22.6w 13PU74 F51 C~1vX1 2011 07 26.42632 20 35 49.805 -16 50 59.68 22.2G 13PU74 F51 C~2r7Q 2011 08 02.44388 20 34 36.247 -16 57 20.16 22.5G 13PU74 F51 C~2r7Q 2011 08 17.31358 20 32 04.835 -17 10 42.19 22.5G 13PU74 F51 C~2r7Q 2012 08 21.37765 21 00 56.593 -16 55 38.85 22.4w 13PU74 F51 C~1vX1 2012 08 21.40564 21 00 56.320 -16 55 40.68 22.5w 13PU74 F51 C~1vX1 2012 08 21.41947 21 00 56.183 -16 55 41.34 22.3w 13PU74 F51 C~1vX1 2013 07 14.49185 21 37 37.600 -15 37 35.47 21.5G 13PU74 F51 C~2r7Q 2013 07 14.50789 21 37 37.475 -15 37 36.17 22.2G 13PU74 F51 C~2r7Q 2013 07 14.52335 21 37 37.362 -15 37 37.17 22.3G 13PU74 F51 C~2r7Q 2013 07 14.53970 21 37 37.235 -15 37 38.27 22.5G 13PU74 F51 C~2r7Q 2013 08 04.45257 21 34 22.560 -16 00 06.27 22.4w 13PU74 F51 C~1vX1 2013 08 04.46647 21 34 22.417 -16 00 07.23 22.1w 13PU74 F51 C~1vX1 2013 08 04.48038 21 34 22.279 -16 00 08.20 22.1w 13PU74 F51 C~1vX1 2013 08 24.43365 21 30 57.068 -16 22 13.84 22.3G 13PU74 F51 C~2r7Q 2013 08 24.44418 21 30 56.936 -16 22 14.72 22.0G 13PU74 F51 C~2r7Q 2013 08 29.35702 21 30 08.094 -16 27 23.72 22.3w 13PU74 F51 C~1vX1 2013 08 29.37085 21 30 07.948 -16 27 24.69 22.4w 13PU74 F51 C~1vX1 2013 08 29.38468 21 30 07.806 -16 27 25.67 22.5w 13PU74 F51 C~1vX1 2013 08 29.39848 21 30 07.673 -16 27 26.24 22.3w 13PU74 F51 C~1vX1 2014 06 28.50893 22 09 34.975 -14 26 06.65 22.6w 13PU74 F51 C~1vX1 2014 06 28.52102 22 09 34.914 -14 26 06.83 22.5w 13PU74 F51 C~1vX1 2014 06 28.53312 22 09 34.897 -14 26 07.61 22.6w 13PU74 F51 C~1vX1 2014 06 28.54517 22 09 34.835 -14 26 08.22 22.3w 13PU74 F51 C~1vX1 2014 07 25.52182 22 06 45.037 -14 52 39.97 22.5w 13PU74 F51 C~1vX1 2014 07 25.53393 22 06 44.933 -14 52 40.80 22.1w 13PU74 F51 C~1vX1 2014 07 25.54604 22 06 44.823 -14 52 41.54 22.5w 13PU74 F51 C~1vX1 2014 07 25.55815 22 06 44.715 -14 52 42.52 22.3w 13PU74 F51 C~1vX1 2014 07 29.49476 22 06 10.535 -14 57 15.46 22.0G 13PU74 F51 C~2r7Q 2014 07 29.50623 22 06 10.425 -14 57 16.17 22.2G 13PU74 F51 C~2r7Q 2014 07 29.51769 22 06 10.321 -14 57 17.10 22.3G 13PU74 F51 C~2r7Q 2014 07 29.52914 22 06 10.209 -14 57 17.85 22.0G 13PU74 F51 C~2r7Q 2014 07 30.51771 22 06 01.343 -14 58 27.49 21.9G 13PU74 F51 C~2r7Q 2014 07 30.52899 22 06 01.244 -14 58 28.48 21.9G 13PU74 F51 C~2r7Q 2014 07 30.54022 22 06 01.133 -14 58 29.10 22.3G 13PU74 F51 C~2r7Q 2014 07 30.55144 22 06 01.035 -14 58 30.03 22.5G 13PU74 F51 C~2r7Q 2014 08 03.47089 22 05 24.882 -15 03 08.80 22.8G 13PU74 F51 C~2r7Q 2014 08 03.48436 22 05 24.755 -15 03 09.73 22.4w 13PU74 F51 C~1vX1 2014 08 03.49780 22 05 24.635 -15 03 10.82 22.1w 13PU74 F51 C~1vX1 2014 08 03.51124 22 05 24.488 -15 03 11.74 22.3w 13PU74 F51 C~1vX1 2014 08 04.47663 22 05 15.355 -15 04 21.07 22.8G 13PU74 F51 C~2r7Q 2014 08 27.39206 22 01 24.930 -15 31 49.03 22.1w 13PU74 F51 C~1vX1 2014 08 27.40566 22 01 24.776 -15 31 49.71 22.4w 13PU74 F51 C~1vX1 2014 08 27.41931 22 01 24.645 -15 31 51.31 22.0w 13PU74 F51 C~1vX1 2014 08 27.43291 22 01 24.507 -15 31 52.19 22.2w 13PU74 F51 C~1vX1 2014 09 02.38462 22 00 24.532 -15 38 37.02 22.8G 13PU74 F51 C~2r7Q 2014 09 18.28728 21 57 56.904 -15 54 43.86 22.1w 13PU74 F51 C~1vX1 2014 09 18.29885 21 57 56.803 -15 54 44.37 22.2w 13PU74 F51 C~1vX1 2014 09 18.31051 21 57 56.698 -15 54 44.84 22.3w 13PU74 F51 C~1vX1 2014 09 18.36880 21 57 56.194 -15 54 48.27 22.4w 13PU74 F51 C~1vX1 2014 10 27.25001 21 54 43.458 -16 15 29.37 22.5G 13PU74 F51 C~2r7Q 2015 06 25.55986 22 39 33.080 -13 12 22.50 22.6w 13PU74 F51 C~1vX1 2015 06 25.57098 22 39 33.087 -13 12 22.96 22.5w 13PU74 F51 C~1vX1 2015 06 25.59333 22 39 33.012 -13 12 23.58 22.5w 13PU74 F51 C~1vX1 2015 07 12.50746 22 38 40.345 -13 26 29.48 22.5w 13PU74 F51 C~1vX1 2015 07 12.51862 22 38 40.299 -13 26 30.27 22.3w 13PU74 F51 C~1vX1 2015 07 12.52977 22 38 40.247 -13 26 30.93 22.4w 13PU74 F51 C~1vX1 2015 07 12.54091 22 38 40.184 -13 26 31.38 22.1w 13PU74 F51 C~1vX1 2015 07 14.54608 22 38 30.045 -13 28 31.45 22.7G 13PU74 F51 C~2r7Q 2015 07 14.55742 22 38 29.993 -13 28 32.22 23.0G 13PU74 F51 C~2r7Q 2015 07 14.56878 22 38 29.905 -13 28 33.02 22.4G 13PU74 F51 C~2r7Q 2015 07 14.58017 22 38 29.862 -13 28 33.89 22.2G 13PU74 F51 C~2r7Q 2015 07 28.48383 22 36 59.644 -13 43 58.37 22.3G 13PU74 F51 C~2r7Q 2015 07 28.49500 22 36 59.542 -13 43 59.30 22.2G 13PU74 F51 C~2r7Q 2015 07 28.50616 22 36 59.459 -13 43 59.97 22.2G 13PU74 F51 C~2r7Q 2015 07 28.51729 22 36 59.374 -13 44 00.96 22.2G 13PU74 F51 C~2r7Q 2015 08 21.41650 22 33 24.717 -14 14 01.44 21.4G 13PU74 F51 C~2r7Q 2015 08 21.42769 22 33 24.598 -14 14 02.30 22.2G 13PU74 F51 C~2r7Q 2015 08 21.43880 22 33 24.484 -14 14 02.96 22.2G 13PU74 F51 C~2r7Q 2015 08 21.44993 22 33 24.361 -14 14 03.98 22.1G 13PU74 F51 C~2r7Q 2015 09 09.37129 22 30 14.101 -14 37 13.80 22.0G 13PU74 F51 C~2r7Q 2015 09 09.38249 22 30 13.983 -14 37 14.40 22.2G 13PU74 F51 C~2r7Q 2015 09 09.39361 22 30 13.871 -14 37 15.17 21.6G 13PU74 F51 C~2r7Q 2015 09 09.40473 22 30 13.775 -14 37 15.99 21.5G 13PU74 F51 C~2r7Q 2015 11 03.29551 22 24 27.736 -15 12 47.53 22.4G 13PU74 F51 C~2r7Q 2016 07 11.55912 23 08 22.489 -12 01 30.87 22.4G 13PU74 F51 C~2r7Q 2016 07 11.57162 23 08 22.444 -12 01 31.77 22.1G 13PU74 F51 C~2r7Q 2016 07 11.58411 23 08 22.412 -12 01 32.28 22.4G 13PU74 F51 C~2r7Q 2016 07 11.59660 23 08 22.360 -12 01 33.12 22.6G 13PU74 F51 C~2r7Q 2016 08 02.51437 23 06 26.683 -12 25 37.94 22.3G 13PU74 F51 C~2r7Q 2016 08 02.52543 23 06 26.603 -12 25 38.80 22.3G 13PU74 F51 C~2r7Q 2016 08 02.53649 23 06 26.518 -12 25 39.68 22.2G 13PU74 F51 C~2r7Q 2016 08 02.54753 23 06 26.426 -12 25 40.41 22.5G 13PU74 F51 C~2r7Q 2016 08 27.45429 23 02 49.868 -12 58 09.23 21.9G 13PU74 F51 C~2r7Q 2016 08 27.47651 23 02 49.651 -12 58 11.09 21.6G 13PU74 F51 C~2r7Q 2016 08 27.48761 23 02 49.534 -12 58 12.00 21.5G 13PU74 F51 C~2r7Q 2016 10 06.37600 22 56 32.940 -13 42 34.47 22.2G 13PU74 F51 C~2r7Q 2016 10 25.25741 22 54 34.059 -13 53 20.66 22.2G 13PU74 F51 C~2r7Q 2016 10 25.26854 22 54 34.009 -13 53 21.08 22.5G 13PU74 F51 C~2r7Q 2016 10 25.27970 22 54 33.941 -13 53 21.11 22.5G 13PU74 F51 C~2r7Q 2016 10 25.29089 22 54 33.903 -13 53 21.13 22.4G 13PU74 F51 C~2r7Q 2017 07 25.58107 23 36 28.893 -10 40 14.99 21.9G 13PU74 F51 C~2r7Q 2017 07 25.59223 23 36 28.843 -10 40 15.75 22.1G 13PU74 F51 C~2r7Q 2017 08 18.48345 23 33 55.855 -11 09 43.91 22.5G 13PU74 F51 C~2r7Q 2017 08 18.49463 23 33 55.759 -11 09 44.74 22.2G 13PU74 F51 C~2r7Q 2017 08 18.50578 23 33 55.670 -11 09 45.82 22.6G 13PU74 F51 C~2r7Q 2017 08 18.51695 23 33 55.566 -11 09 46.82 22.8G 13PU74 F51 C~2r7Q 2017 09 15.40592 23 29 35.253 -11 46 35.76 22.0G 13PU74 F51 C~2r7Q 2017 09 15.41703 23 29 35.110 -11 46 36.72 22.5w 13PU74 F51 C~2KWm 2017 09 15.42822 23 29 35.019 -11 46 37.28 22.0w 13PU74 F51 C~2KWm 2017 09 15.43932 23 29 34.882 -11 46 38.37 22.2w 13PU74 F51 C~2KWm 2017 09 23.40592 23 28 16.666 -11 56 06.28 21.7G 13PU74 F51 C~2r7Q 2017 09 23.41704 23 28 16.551 -11 56 07.29 21.9G 13PU74 F51 C~2r7Q 2017 09 23.42817 23 28 16.435 -11 56 07.84 21.9G 13PU74 F51 C~2r7Q 2017 10 11.36483 23 25 34.182 -12 13 38.03 23.1G 13PU74 F51 C~2r7Q 2017 11 07.33814 23 22 52.128 -12 26 14.90 22.7G 13PU74 F51 C~2r7Q 2017 12 05.26640 23 22 43.986 -12 18 56.07 22.2G 13PU74 F51 C~2r7Q 2020 08 18.52324 00 55 18.970 -05 49 00.81 22.0w 13PU74 F51 C~441M 2020 08 18.53592 00 55 18.913 -05 49 01.70 22.3w 13PU74 F51 C~441M 2020 08 18.54751 00 55 18.854 -05 49 02.65 22.2w 13PU74 F51 C~441M 2020 10 14.31136 00 47 35.268 -06 57 27.92 22.6w 13PU74 F51 C~49vQ 2020 10 14.32609 00 47 35.123 -06 57 28.52 22.6w 13PU74 F51 C~49vQ 2020 10 14.34085 00 47 34.979 -06 57 29.89 22.3w 13PU74 F51 C~49vQ
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 0.01 0.00 -0.13
2 0.0000 0.00 0.09 0.00 0.04
3 0.0001 0.00 0.02 0.00 0.04
4 0.0001 0.00 -0.17 0.00 0.03
5 0.0027 0.00 0.06 0.00 -0.08
6 0.0219 0.00 0.17 0.00 -0.04
7 0.0626 0.00 -0.12 0.00 -0.05
8 1.0758 0.00 -0.07 0.00 0.10
9 1.0759 0.00 0.08 0.00 -0.10
10 1.0759 0.00 0.13 0.00 0.04
11 1.9714 0.00 -0.31 0.00 -0.08
12 1.9714 0.00 -0.16 0.00 0.18
13 1.9715 0.00 0.09 0.00 0.11
14 1.9715 0.00 0.25 0.00 -0.01
15 2.0288 0.00 -0.15 0.00 0.08
16 2.0288 0.00 -0.13 0.00 0.05
17 2.0289 0.00 -0.03 0.00 0.02
18 2.0835 0.00 0.20 0.00 0.15
19 2.0835 0.00 -0.15 0.00 -0.06
20 2.0970 0.00 0.06 0.00 -0.06
21 2.0970 0.00 -0.06 0.00 -0.18
22 2.0970 0.00 -0.11 0.00 -0.30
23 2.0971 0.00 -0.03 0.00 -0.02
24 2.9270 0.00 -0.07 0.00 -0.18
25 2.9270 0.00 -0.26 0.00 0.21
26 2.9270 0.00 0.21 0.00 0.00
27 2.9271 0.00 0.00 0.00 -0.04
28 3.0009 0.00 0.00 0.00 0.05
29 3.0009 0.00 0.02 0.00 0.05
30 3.0010 0.00 -0.05 0.00 0.14
31 3.0010 0.00 -0.10 0.00 -0.01
32 3.0118 0.00 0.04 0.00 0.07
33 3.0118 0.00 -0.04 0.00 0.16
34 3.0119 0.00 -0.02 0.00 0.04
35 3.0119 0.00 -0.13 0.00 0.09
36 3.0146 0.00 -0.05 0.00 0.01
37 3.0146 0.00 0.03 0.00 -0.19
38 3.0147 0.00 -0.07 0.00 -0.02
39 3.0147 0.00 0.02 0.00 -0.16
40 3.0254 0.00 0.06 0.00 -0.04
41 3.0255 0.00 0.10 0.00 -0.00
42 3.0255 0.00 0.25 0.00 -0.13
43 3.0255 0.00 -0.01 0.00 -0.09
44 3.0282 0.00 -0.15 0.00 -0.09
45 3.0909 0.00 0.09 0.00 0.17
46 3.0909 0.00 -0.09 0.00 0.43
47 3.0910 0.00 0.08 0.00 -0.22
48 3.0910 0.00 0.14 0.00 -0.15
49 3.1073 0.00 0.29 0.00 -0.05
50 3.1509 0.00 0.02 0.00 0.06
51 3.1509 0.00 0.01 0.00 0.18
52 3.1509 0.00 -0.05 0.00 0.35
53 3.1511 0.00 -0.03 0.00 0.08
54 3.2575 0.00 -0.11 0.00 -0.15
55 3.9182 0.00 -0.27 0.00 0.13
56 3.9182 0.00 0.09 0.00 0.12
57 3.9183 0.00 -0.52 0.00 0.40
58 3.9646 0.00 -0.19 0.00 0.02
59 3.9646 0.00 -0.03 0.00 -0.11
60 3.9647 0.00 0.04 0.00 -0.11
61 3.9647 0.00 -0.05 0.00 0.10
62 3.9702 0.00 0.19 0.00 0.28
63 3.9702 0.00 0.35 0.00 0.20
64 3.9702 0.00 -0.04 0.00 0.09
65 3.9703 0.00 0.26 0.00 -0.09
66 4.0083 0.00 0.09 0.00 0.03
67 4.0084 0.00 -0.12 0.00 -0.11
68 4.0084 0.00 -0.06 0.00 0.02
69 4.0084 0.00 -0.02 0.00 -0.17
70 4.0739 0.00 0.20 0.00 0.02
71 4.0739 0.00 0.13 0.00 0.02
72 4.0739 0.00 0.11 0.00 0.22
73 4.0740 0.00 -0.03 0.00 0.05
74 4.1258 0.00 0.11 0.00 -0.08
75 4.1258 0.00 0.04 0.00 0.09
76 4.1258 0.00 0.05 0.00 0.09
77 4.1258 0.00 0.30 0.00 0.03
78 4.2761 0.00 0.18 0.00 -0.03
79 4.9641 0.00 0.02 0.00 0.05
80 4.9641 0.00 -0.02 0.00 -0.15
81 4.9641 0.00 0.13 0.00 0.03
82 4.9642 0.00 -0.01 0.00 -0.11
83 5.0242 0.00 0.13 0.00 0.05
84 5.0242 0.00 0.17 0.00 0.01
85 5.0242 0.00 0.12 0.00 -0.05
86 5.0243 0.00 -0.02 0.00 0.04
87 5.0924 0.00 -0.02 0.00 -0.03
88 5.0925 0.00 0.06 0.00 -0.14
89 5.0925 0.00 -0.03 0.00 -0.17
90 5.2017 0.00 0.22 0.00 -0.16
91 5.2534 0.00 -0.02 0.00 -0.17
92 5.2535 0.00 0.03 0.00 -0.36
93 5.2535 0.00 -0.19 0.00 -0.16
94 5.2535 0.00 0.04 0.00 0.05
95 6.0018 0.00 0.12 0.00 0.04
96 6.0018 0.00 0.13 0.00 0.01
97 6.0672 0.00 -0.00 0.00 0.01
98 6.0672 0.00 -0.03 0.00 0.07
99 6.0673 0.00 0.04 0.00 -0.12
100 6.0673 0.00 -0.10 0.00 -0.22
101 6.1436 0.00 0.07 0.00 0.07
102 6.1437 0.00 -0.38 0.00 -0.07
103 6.1437 0.00 -0.05 0.00 0.20
104 6.1437 0.00 -0.42 0.00 -0.06
105 6.1656 0.00 0.09 0.00 0.09
106 6.1656 0.00 0.02 0.00 -0.16
107 6.1656 0.00 -0.06 0.00 0.04
108 6.2147 0.00 -0.07 0.00 0.02
109 6.2886 0.00 0.05 0.00 -0.07
110 6.3650 0.00 -0.03 0.00 -0.21
111 9.0680 0.00 -0.16 0.00 0.06
112 9.0680 0.00 -0.07 0.00 0.06
113 9.0681 0.00 -0.08 0.00 -0.08
114 9.2235 0.00 0.15 0.00 0.11
115 9.2235 0.00 0.10 0.00 0.37
116 9.2236 0.00 0.07 0.00 -0.13
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.
13PU74 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 33.696 33.696 33.697 ecceobj 0.533 0.533 0.533 incobj 12.707 12.707 12.707 qmin 15.648 15.648 15.648 qmax 53.224 53.378 53.854 amean 34.004 34.040 33.884 amin 33.442 33.461 33.034 amax 34.744 34.674 34.987 emean 0.526 0.530 0.526 emin 0.512 0.521 0.512 emax 0.536 0.539 0.539 imean 13.024 12.278 12.946 imin 11.314 11.314 11.314 imax 14.491 13.603 14.043 excite_mean 0.572 0.571 0.571 fracstop 0.013 0.008 0.019 cjmean 2.648 2.648 2.648 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 224.5 215.0 238.5 kozaiamp 24.2 13.8 39.0