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: 524217
# Created Wed May 8 01:08:36 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 123 observations of 123
# Arc: 19.24y
# First observation: 2001/09/12
# Last observation: 2020/12/09
# Chi-squared of fit: 211.70 DOF: 240 RMS: 0.23
# Min/Max residuals: -0.76 1.07
# Exact a, adot, b, bdot, g, gdot:
1.590497E-05 2.475705E-02 3.872835E-07 9.011031E-04 2.464881E-02 -2.673392E-04
# 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
0.378866 19.074745 0.498693 0.005647 -0.872479 2452164.882433
# Heliocentric elements and errors
Epoch: 2452164.5000 = 2001/09/12
Mean Anomaly: 339.68139 +/- 0.000
Argument of Peri: 33.34209 +/- 0.000
Long of Asc Node: 8.34334 +/- 0.000
Inclination: 2.12450 +/- 0.000
Eccentricity: 0.06866469 +/- 0.0000
Semi-Major Axis: 44.27250741 +/- 0.0000
Time of Perihelion: 2458237.3308 +/- 0.0
Perihelion: 41.23254919 +/- 0.0000
Aphelion: 47.31246563 +/- 0.0000
Period (y) 294.5842 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 39.33134509 +/- 0.0000
Ecliptic Y 13.07799240 +/- 0.0000
Ecliptic Z 0.26829756 +/- 0.0000
Ecliptic XDOT -0.00093602 +/- 0.0000
Ecliptic YDOT 0.00259001 +/- 0.0000
Ecliptic ZDOT 0.00010010 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.44951070 +/- 0.0000
Geocenter to KBO 40.56994578 +/- 0.0000
# Hcoef: 6.65
The following table shows the complete astrometric record for 524217. 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 (524217) followed by the observatory code and reference code for the source of the astrometry.
2001 09 12.38169 01 09 49.64 +07 49 11.3 22.2R 524217 695 Ce0436 2001 09 12.46978 01 09 49.30 +07 49 09.1 524217 695 Ce0436 2001 10 19.36533 01 07 06.35 +07 32 58.3 22.3R 524217 695 Ce0436 2001 10 19.41195 01 07 06.13 +07 32 56.9 524217 695 Ce0436 2001 10 20.36415 01 07 01.78 +07 32 30.9 524217 695 Ce0436 2001 11 03.05981 01 06 01.89 +07 26 28.2 21.6 524217 304 Ce6603 2001 11 03.10588 01 06 01.68 +07 26 27.2 524217 304 Ce6603 2001 12 16.07618 01 03 56.93 +07 13 45.1 20.1 524217 304 Ce9438 2001 12 16.10829 01 03 56.87 +07 13 44.5 524217 304 Ce9438 2002 09 09.41463 01 15 15.74 +08 25 26.6 22.1R 524217 662 Cg3223 2002 09 09.48216 01 15 15.48 +08 25 25.1 524217 662 Cg3223 2002 09 11.60789 01 15 07.54 +08 24 38.9 21.9R 524217 568 Cg1159 2002 09 12.60054 01 15 03.74 +08 24 16.7 22.0R 524217 568 Cg1159 2003 09 28.39890 01 19 14.27 +08 52 55.0 22.3R 524217 688 Ci6182 2003 09 28.46171 01 19 14.00 +08 52 53.2 524217 688 Ci6182 2005 09 04.96170 01 31 16.48 +10 10 11.4 22.9R 524217 250 S~06AQ 2005 09 04.96842 01 31 16.46 +10 10 11.2 524217 250 S~06AQ 2005 09 04.97513 01 31 16.43 +10 10 11.1 524217 250 S~06AQ 2005 09 29.34051 01 29 41.67 +10 01 22.5 22.7R 524217 688 Co3571 2005 09 29.44917 01 29 41.14 +10 01 18.8 524217 688 Co3571 2008 10 29.395319 01 43 22.51 +11 29 55.4 22.9V 524217 645 C~2Jx5 2008 10 29.396148 01 43 22.51 +11 29 55.7 22.0V 524217 645 C~2Jx5 2008 10 29.398636 01 43 22.50 +11 29 55.6 23.5V 524217 645 C~2Jx5 2008 11 02.381917 01 43 04.02 +11 28 12.6 22.3V 524217 645 C~2Jx5 2008 11 02.382746 01 43 04.03 +11 28 12.6 22.1V 524217 645 C~2Jx5 2008 11 02.385234 01 43 04.02 +11 28 12.6 23.1V 524217 645 C~2Jx5 2010 10 07.38897 01 55 57.866 +12 45 41.73 22.7G 524217 F51 C~343g 2010 10 07.40442 01 55 57.784 +12 45 41.47 22.3G 524217 F51 C~343g 2010 10 07.42082 01 55 57.714 +12 45 41.02 22.5G 524217 F51 C~343g 2010 10 07.43787 01 55 57.635 +12 45 40.76 22.3G 524217 F51 C~343g 2010 10 12.52382 01 55 34.295 +12 43 37.96 22.6G 524217 F51 C~343g 2010 10 14.49942 01 55 25.076 +12 42 49.37 22.5G 524217 F51 C~343g 2010 12 02.22263 01 51 50.37 +12 23 23.6 22.7R 524217 688 C~0Pg9 2010 12 02.30303 01 51 50.10 +12 23 20.9 524217 688 C~0Pg9 2011 08 29.48565 02 03 41.939 +13 29 23.64 22.7r 524217 568 C~1C5q 2011 08 29.53760 02 03 41.823 +13 29 23.12 22.8r 524217 568 C~1C5q 2011 08 29.58466 02 03 41.715 +13 29 22.72 22.8r 524217 568 C~1C5q 2011 09 05.52418 02 03 24.787 +13 28 04.46 22.8r 524217 568 C~1C5q 2011 10 24.40337 02 00 06.928 +13 11 24.41 22.5r 524217 568 C~1C5q 2011 10 24.44610 02 00 06.718 +13 11 23.28 22.6r 524217 568 C~1C5q 2011 10 24.48881 02 00 06.509 +13 11 22.21 22.6r 524217 568 C~1C5q 2011 10 29.30680 01 59 43.448 +13 09 20.28 22.5r 524217 568 C~1C5q 2011 10 30.30008 01 59 38.698 +13 08 55.08 22.7r 524217 568 C~1C5q 2011 10 30.52443 01 59 37.596 +13 08 49.54 22.7r 524217 568 C~1C5q 2011 10 31.50734 01 59 32.909 +13 08 24.60 22.7r 524217 568 C~1C5q 2011 11 24.29629 01 57 46.472 +12 58 53.34 22.7r 524217 568 C~1C5q 2011 11 30.34253 01 57 23.154 +12 56 45.74 22.7r 524217 568 C~1C5q 2011 11 30.35120 01 57 23.120 +12 56 45.54 22.8r 524217 568 C~1C5q 2012 01 25.28222 01 56 03.362 +12 48 51.22 23.0r 524217 568 C~1C5q 2012 01 26.26707 01 56 04.561 +12 48 56.83 22.9r 524217 568 C~1C5q 2012 01 27.32416 01 56 05.948 +12 49 03.30 22.9r 524217 568 C~1C5q 2012 08 17.56010 02 09 25.843 +14 02 08.18 22.8r 524217 568 C~1C5q 2012 08 22.61568 02 09 19.221 +14 01 43.11 22.8r 524217 568 C~1C5q 2012 08 24.51776 02 09 16.159 +14 01 30.61 22.7r 524217 568 C~1C5q 2012 10 11.35479 02 06 34.278 +13 48 33.03 22.3G 524217 F51 C~343g 2012 10 11.36978 02 06 34.184 +13 48 32.57 23.0G 524217 F51 C~343g 2012 10 11.38476 02 06 34.136 +13 48 32.39 23.1G 524217 F51 C~343g 2012 10 11.39983 02 06 34.063 +13 48 31.77 22.8G 524217 F51 C~343g 2012 10 17.36532 02 06 06.142 +13 46 10.52 22.7r 524217 568 C~1C5q 2012 10 20.46016 02 05 51.391 +13 44 55.20 22.6r 524217 568 C~1C5q 2012 11 02.32291 02 04 49.636 +13 39 36.62 21.0G 524217 F51 C~343g 2012 11 02.33506 02 04 49.579 +13 39 36.01 22.2G 524217 F51 C~343g 2012 12 17.05921 02 01 54.19 +13 23 55.5 22.6R 524217 304 C~0snW 2012 12 17.12233 02 01 54.01 +13 23 54.7 524217 304 C~0snW 2012 12 17.15769 02 01 53.95 +13 23 54.1 524217 304 C~0snW 2012 12 18.05729 02 01 51.71 +13 23 41.4 524217 304 C~0snW 2012 12 18.09375 02 01 51.59 +13 23 41.1 524217 304 C~0snW 2012 12 18.14896 02 01 51.45 +13 23 40.3 524217 304 C~0snW 2012 12 19.06103 02 01 49.26 +13 23 27.7 524217 304 C~0snW 2012 12 19.10866 02 01 49.13 +13 23 27.3 524217 304 C~0snW 2012 12 19.15396 02 01 49.03 +13 23 26.3 524217 304 C~0snW 2013 01 14.35870 02 01 17.643 +13 20 15.23 524217 568 C~1C5q 2013 07 19.59142 02 14 40.834 +14 31 08.99 23.4G 524217 F51 C~343g 2013 07 20.58603 02 14 42.478 +14 31 19.52 22.7G 524217 F51 C~343g 2013 08 19.56173 02 14 50.233 +14 32 57.30 22.3G 524217 F51 C~343g 2014 09 02.49038 02 19 55.876 +15 02 00.59 22.5G 524217 F51 C~343g 2014 09 02.51467 02 19 55.836 +15 02 00.51 22.7G 524217 F51 C~343g 2014 09 02.52678 02 19 55.801 +15 02 00.17 22.6G 524217 F51 C~343g 2014 09 02.63089 02 19 55.566 +15 01 59.71 22.3G 524217 F51 C~343g 2014 10 02.42885 02 18 17.840 +14 54 36.54 23.0G 524217 F51 C~343g 2014 11 17.48313 02 14 42.091 +14 36 53.01 22.9G 524217 F51 C~343g 2014 12 13.37762 02 13 00.680 +14 28 04.56 22.6G 524217 F51 C~343g 2015 01 10.26860 02 12 06.256 +14 22 58.52 23.4G 524217 F51 C~343g 2015 09 09.47063 02 25 10.215 +15 31 00.55 23.0G 524217 F51 C~343g 2015 09 09.48290 02 25 10.168 +15 31 00.50 22.6G 524217 F51 C~343g 2015 09 09.50746 02 25 10.117 +15 31 00.32 22.5G 524217 F51 C~343g 2015 10 10.40034 02 23 17.068 +15 22 31.15 22.6G 524217 F51 C~343g 2015 10 10.41259 02 23 17.005 +15 22 30.96 22.4G 524217 F51 C~343g 2015 12 04.26538 02 19 03.546 +15 01 46.79 23.1G 524217 F51 C~343g 2015 12 04.27594 02 19 03.515 +15 01 46.61 23.0G 524217 F51 C~343g 2015 12 04.28663 02 19 03.486 +15 01 46.38 22.9G 524217 F51 C~343g 2016 01 04.29668 02 17 39.132 +14 54 15.91 22.7G 524217 F51 C~343g 2016 01 04.30967 02 17 39.110 +14 54 15.97 23.4G 524217 F51 C~343g 2016 01 04.32266 02 17 39.104 +14 54 15.84 22.7G 524217 F51 C~343g 2016 01 04.33562 02 17 39.054 +14 54 15.94 23.1G 524217 F51 C~343g 2016 01 13.28355 02 17 30.281 +14 53 21.12 22.8G 524217 F51 C~343g 2016 01 24.23676 02 17 30.200 +14 53 06.96 23.2G 524217 F51 C~343g 2016 01 26.33698 02 17 31.510 +14 53 11.09 23.1G 524217 F51 C~343g 2016 08 16.57585 02 31 17.583 +16 02 39.96 23.5G 524217 F51 C~343g 2016 09 30.57822 02 29 29.686 +15 55 26.67 22.6G 524217 F51 C~343g 2016 10 26.54234 02 27 31.697 +15 46 24.73 22.7G 524217 F51 C~343g 2016 10 26.54933 02 27 31.640 +15 46 23.62 22.7G 524217 F51 C~343g 2016 10 26.56119 02 27 31.578 +15 46 23.96 23.2G 524217 F51 C~343g 2016 10 26.56821 02 27 31.556 +15 46 24.04 23.1G 524217 F51 C~343g 2016 10 26.58527 02 27 31.483 +15 46 23.17 22.8G 524217 F51 C~343g 2016 10 27.56619 02 27 26.662 +15 46 00.71 22.6G 524217 F51 C~343g 2016 10 28.56128 02 27 21.782 +15 45 37.62 23.0G 524217 F51 C~343g 2016 10 29.29024 02 27 18.246 +15 45 20.82 23.1G 524217 F51 C~343g 2016 10 30.28747 02 27 13.343 +15 44 57.53 22.5G 524217 F51 C~343g 2017 01 23.26215 02 22 55.608 +15 23 02.79 23.3G 524217 F51 C~343g 2017 10 19.57410 02 33 42.262 +16 18 42.00 22.7G 524217 F51 C~343g 2017 11 16.46113 02 31 26.274 +16 08 09.79 22.6G 524217 F51 C~343g 2017 11 22.43652 02 30 58.333 +16 05 56.12 23.0G 524217 F51 C~343g 2017 11 22.45046 02 30 58.271 +16 05 55.55 22.7G 524217 F51 C~343g 2017 11 22.46443 02 30 58.199 +16 05 55.49 22.8G 524217 F51 C~343g 2017 11 22.47835 02 30 58.114 +16 05 55.07 22.2G 524217 F51 C~343g 2018 01 12.31194 02 28 26.390 +15 53 02.52 23.0G 524217 F51 C~343g 2018 01 30.23461 02 28 26.612 +15 52 39.07 22.7G 524217 F51 C~343g 2020 10 20.310550 02 50 35.076 +17 43 41.20 22.6G 524217 G37 C~4Kn9 2020 10 20.405110 02 50 34.617 +17 43 39.48 524217 G37 C~4Kn9 2020 10 20.478100 02 50 34.268 +17 43 37.96 524217 G37 C~4Kn9 2020 12 09.113600 02 46 38.145 +17 26 23.62 22.7G 524217 G37 C~4TuL 2020 12 09.168280 02 46 37.919 +17 26 22.41 524217 G37 C~4TuL
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 -0.02 0.00 0.03
2 0.0002 0.00 0.14 0.00 -0.14
3 0.1013 0.00 -0.26 0.00 0.16
4 0.1014 0.00 -0.33 0.00 0.04
5 0.1040 0.00 -0.69 0.00 0.12
6 0.1415 0.00 0.18 0.00 -0.26
7 0.1416 0.00 -0.03 0.00 -0.10
8 0.2593 0.00 0.33 0.00 0.30
9 0.2593 0.00 0.08 0.00 -0.05
10 0.9912 0.00 -0.14 0.00 0.13
11 0.9914 0.00 -0.23 0.00 0.07
12 0.9972 0.00 0.19 0.00 -0.11
13 0.9999 0.00 0.15 0.00 -0.29
14 2.0425 0.00 -0.04 0.00 -0.21
15 2.0427 0.00 0.13 0.00 -0.39
16 3.9797 0.00 0.69 0.00 1.07
17 3.9797 0.00 0.71 0.00 0.99
18 3.9797 0.00 0.59 0.00 1.01
19 4.0464 0.00 -0.00 0.00 0.24
20 4.0467 0.00 -0.65 0.00 -0.75
21 7.1294 0.00 -0.03 0.00 -0.41
22 7.1294 0.00 0.03 0.00 -0.09
23 7.1294 0.00 0.06 0.00 -0.12
24 7.1403 0.00 -0.11 0.00 -0.15
25 7.1403 0.00 0.10 0.00 -0.13
26 7.1403 0.00 0.12 0.00 -0.07
27 9.0678 0.00 -0.01 0.00 -0.10
28 9.0678 0.00 -0.17 0.00 -0.00
29 9.0679 0.00 -0.09 0.00 -0.06
30 9.0679 0.00 -0.10 0.00 0.08
31 9.0818 0.00 0.05 0.00 -0.22
32 9.0872 0.00 0.09 0.00 -0.18
33 9.2206 0.00 -0.12 0.00 0.38
34 9.2209 0.00 0.07 0.00 -0.76
35 9.9606 0.00 -0.34 0.00 -0.16
36 9.9607 0.00 -0.34 0.00 -0.18
37 9.9609 0.00 -0.37 0.00 -0.12
38 9.9799 0.00 -0.16 0.00 0.07
39 10.1137 0.00 -0.15 0.00 0.22
40 10.1138 0.00 -0.17 0.00 0.16
41 10.1139 0.00 -0.18 0.00 0.17
42 10.1271 0.00 0.09 0.00 -0.25
43 10.1298 0.00 0.07 0.00 -0.37
44 10.1304 0.00 -0.11 0.00 -0.25
45 10.1331 0.00 -0.09 0.00 -0.39
46 10.1983 0.00 -0.07 0.00 0.01
47 10.2148 0.00 0.07 0.00 0.15
48 10.2148 0.00 0.05 0.00 0.13
49 10.3680 0.00 -0.12 0.00 -0.08
50 10.3707 0.00 -0.12 0.00 -0.06
51 10.3736 0.00 -0.12 0.00 -0.15
52 10.9300 0.00 -0.08 0.00 0.04
53 10.9438 0.00 -0.01 0.00 0.07
54 10.9490 0.00 -0.02 0.00 0.08
55 11.0800 0.00 0.12 0.00 -0.03
56 11.0800 0.00 -0.24 0.00 -0.14
57 11.0801 0.00 0.10 0.00 0.03
58 11.0801 0.00 0.06 0.00 -0.25
59 11.0965 0.00 0.00 0.00 0.09
60 11.1049 0.00 -0.01 0.00 0.02
61 11.1402 0.00 -0.01 0.00 0.40
62 11.1402 0.00 0.02 0.00 0.09
63 11.2626 0.00 -0.08 0.00 -0.04
64 11.2628 0.00 -0.30 0.00 0.06
65 11.2629 0.00 0.18 0.00 -0.03
66 11.2654 0.00 0.24 0.00 -0.09
67 11.2655 0.00 -0.17 0.00 0.12
68 11.2656 0.00 -0.17 0.00 0.09
69 11.2681 0.00 -0.01 0.00 -0.08
70 11.2682 0.00 -0.20 0.00 0.16
71 11.2684 0.00 -0.04 0.00 -0.22
72 11.3401 0.00 0.05 0.00 -0.02
73 11.8500 0.00 0.19 0.00 0.19
74 11.8527 0.00 -0.24 0.00 0.27
75 11.9348 0.00 0.01 0.00 -0.12
76 12.9722 0.00 -0.06 0.00 0.03
77 12.9723 0.00 0.17 0.00 0.17
78 12.9723 0.00 0.06 0.00 -0.06
79 12.9726 0.00 0.09 0.00 0.42
80 13.0542 0.00 0.08 0.00 -0.04
81 13.1803 0.00 -0.05 0.00 -0.12
82 13.2512 0.00 0.14 0.00 0.21
83 13.3275 0.00 0.06 0.00 0.01
84 13.9907 0.00 -0.05 0.00 -0.15
85 13.9907 0.00 -0.26 0.00 -0.07
86 13.9908 0.00 -0.03 0.00 0.02
87 14.0753 0.00 -0.06 0.00 -0.03
88 14.0754 0.00 -0.16 0.00 0.04
89 14.2256 0.00 -0.06 0.00 -0.01
90 14.2256 0.00 0.10 0.00 0.02
91 14.2256 0.00 0.30 0.00 0.00
92 14.3105 0.00 0.17 0.00 -0.15
93 14.3105 0.00 0.13 0.00 0.01
94 14.3106 0.00 0.33 0.00 -0.01
95 14.3106 0.00 -0.13 0.00 0.20
96 14.3351 0.00 0.06 0.00 0.11
97 14.3651 0.00 0.31 0.00 -0.04
98 14.3709 0.00 0.08 0.00 0.01
99 14.9273 0.00 -0.26 0.00 -0.02
100 15.0505 0.00 0.07 0.00 0.03
101 15.1216 0.00 0.40 0.00 0.48
102 15.1216 0.00 0.06 0.00 -0.47
103 15.1216 0.00 0.01 0.00 0.15
104 15.1217 0.00 0.20 0.00 0.39
105 15.1217 0.00 0.37 0.00 -0.08
106 15.1244 0.00 -0.01 0.00 0.07
107 15.1271 0.00 -0.10 0.00 0.01
108 15.1291 0.00 0.17 0.00 0.13
109 15.1318 0.00 0.06 0.00 0.04
110 15.3645 0.00 0.21 0.00 -0.18
111 16.1018 0.00 0.39 0.00 -0.11
112 16.1782 0.00 -0.00 0.00 -0.23
113 16.1945 0.00 0.01 0.00 0.04
114 16.1946 0.00 0.05 0.00 -0.22
115 16.1946 0.00 -0.05 0.00 0.03
116 16.1947 0.00 -0.36 0.00 -0.08
117 16.3338 0.00 0.08 0.00 -0.16
118 16.3829 0.00 0.01 0.00 0.05
119 19.1045 0.00 -0.04 0.00 -0.01
120 19.1048 0.00 -0.12 0.00 0.12
121 19.1050 0.00 -0.11 0.00 0.05
122 19.2409 0.00 -0.17 0.00 0.21
123 19.2410 0.00 -0.20 0.00 0.01
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.
524217 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.454 44.454 44.454 ecceobj 0.072 0.072 0.072 incobj 2.118 2.118 2.118 qmin 40.232 40.233 40.230 qmax 48.231 48.224 48.237 amean 44.106 44.106 44.106 amin 43.758 43.759 43.757 amax 44.479 44.480 44.480 emean 0.069 0.069 0.069 emin 0.052 0.052 0.052 emax 0.085 0.085 0.085 imean 2.432 2.432 2.432 imin 1.642 1.642 1.641 imax 3.113 3.113 3.113 excite_mean 0.081 0.081 0.081 fracstop 1.000 1.000 1.000 cjmean 3.095 3.095 3.095 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 180.2 180.2 180.2 kozaiamp 180.0 180.0 180.0