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: 10TL182 # Created Wed Dec 25 02:09:06 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 116 observations of 116 # Arc: 18.86y # First observation: 2001/10/14 # Last observation: 2020/08/23 # Chi-squared of fit: 148.08 DOF: 226 RMS: 0.20 # Min/Max residuals: -0.71 0.62 # Exact a, adot, b, bdot, g, gdot: 1.598726E-05 2.443649E-02 -4.676076E-07 -2.254313E-04 2.454078E-02 -9.681674E-04 # Covariance matrix: 4.2765E-13 -6.2730E-14 -2.0021E-15 4.4402E-16 -3.8969E-14 -8.6542E-14 -6.2730E-14 1.1506E-14 4.3740E-16 -9.6977E-17 8.6516E-15 1.8864E-14 -2.0021E-15 4.3740E-16 2.1070E-13 -1.5437E-14 5.3805E-16 7.9670E-16 4.4402E-16 -9.6977E-17 -1.5437E-14 1.1958E-15 -1.1420E-16 -1.7674E-16 -3.8969E-14 8.6516E-15 5.3805E-16 -1.1420E-16 3.6575E-14 1.5228E-14 -8.6542E-14 1.8864E-14 7.9670E-16 -1.7674E-16 1.5228E-14 3.4523E-14 # lat0 lon0 xBary yBary zBary JD0 -1.558240 5.308706 -0.264546 -0.026146 -0.957164 2452196.814300 # Heliocentric elements and errors Epoch: 2452196.5000 = 2001/10/14 Mean Anomaly: 326.55902 +/- 0.011 Argument of Peri: 288.88299 +/- 0.013 Long of Asc Node: 114.44628 +/- 0.003 Inclination: 1.60778 +/- 0.000 Eccentricity: 0.06228808 +/- 0.0000 Semi-Major Axis: 43.93693691 +/- 0.0013 Time of Perihelion: 2462077.9256 +/- 5.5 Perihelion: 41.20018956 +/- 0.0015 Aphelion: 46.67368427 +/- 0.0017 Period (y) 291.2412 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.48979977 +/- 0.0003 Ecliptic Y 4.12696296 +/- 0.0000 Ecliptic Z -1.10808603 +/- 0.0000 Ecliptic XDOT -0.00036910 +/- 0.0000 Ecliptic YDOT 0.00270511 +/- 0.0000 Ecliptic ZDOT -0.00002199 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.70929272 +/- 0.0003 Geocenter to KBO 40.74855804 +/- 0.0003 # Hcoef: 6.49
The following table shows the complete astrometric record for 10TL182. 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 (10TL182) followed by the observatory code and reference code for the source of the astrometry.
2001 10 14.313557 00 21 57.70 +00 40 42.3 22.6V 10TL182 645 C~2PON 2001 10 14.314386 00 21 57.70 +00 40 42.2 22.7V 10TL182 645 C~2PON 2001 10 14.316874 00 21 57.70 +00 40 42.2 10TL182 645 C~2PON 2008 10 08.392728 00 58 46.60 +04 30 49.6 23.0V 10TL182 645 C~2PON 2008 10 08.393557 00 58 46.61 +04 30 49.3 22.3V 10TL182 645 C~2PON 2008 10 08.396045 00 58 46.61 +04 30 49.3 24.1V 10TL182 645 C~2PON 2010 10 06.42864 01 09 30.809 +05 36 32.19 22.8w 10TL182 F51 C@0612 2010 10 06.44130 01 09 30.746 +05 36 32.12 22.8w 10TL182 F51 C@0612 2010 10 06.45518 01 09 30.659 +05 36 31.65 22.9w 10TL182 F51 C@0612 2010 10 06.46811 01 09 30.613 +05 36 31.42 22.8w 10TL182 F51 C@0612 2010 10 13.45073 01 08 58.722 +05 33 14.91 23.0w 10TL182 F51 C@0612 2010 10 13.46669 01 08 58.648 +05 33 14.39 22.9w 10TL182 F51 C@0612 2010 10 13.48125 01 08 58.584 +05 33 14.03 23.1w 10TL182 F51 C@0612 2010 10 13.49516 01 08 58.513 +05 33 13.69 23.1w 10TL182 F51 C@0612 2010 10 30.37431 01 07 43.059 +05 25 38.85 23.2w 10TL182 F51 C~1w3k 2010 10 30.38832 01 07 43.003 +05 25 38.29 23.0w 10TL182 F51 C~1w3k 2010 11 30.24685 01 05 53.096 +05 15 07.44 21.4i 10TL182 F51 C~1w3k 2011 09 23.47188 01 15 47.308 +06 14 39.47 22.9w 10TL182 F51 C~1w3k 2011 09 23.50283 01 15 47.178 +06 14 38.77 23.1w 10TL182 F51 C~1w3k 2012 10 08.49718 01 19 56.336 +06 39 21.49 23.0G 10TL182 F51 C~36lx 2012 10 08.51030 01 19 56.286 +06 39 21.33 22.0i 10TL182 F51 C~1w3k 2012 10 11.47259 01 19 42.635 +06 37 58.96 21.9g 10TL182 F51 C~1w3k 2012 10 15.34374 01 19 24.859 +06 36 11.84 22.4w 10TL182 F51 C~1w3k 2012 10 15.36187 01 19 24.791 +06 36 11.33 22.3w 10TL182 F51 C~1w3k 2012 11 06.28479 01 17 47.260 +06 26 37.43 22.8w 10TL182 F51 C~1w3k 2012 11 06.31463 01 17 47.141 +06 26 36.72 22.4w 10TL182 F51 C~1w3k 2012 11 06.32956 01 17 47.085 +06 26 36.29 22.7w 10TL182 F51 C~1w3k 2013 09 24.52340 01 26 18.981 +07 17 27.01 21.8G 10TL182 F51 C~36lx 2013 10 02.42484 01 25 44.654 +07 13 56.97 22.8w 10TL182 F51 C~1w3k 2013 10 02.43977 01 25 44.574 +07 13 56.67 22.4w 10TL182 F51 C~1w3k 2013 10 27.33467 01 23 50.716 +07 02 38.91 22.3w 10TL182 F51 C~1w3k 2013 10 27.35016 01 23 50.643 +07 02 38.77 22.1w 10TL182 F51 C~1w3k 2013 10 27.36575 01 23 50.566 +07 02 38.08 22.0w 10TL182 F51 C~1w3k 2013 10 27.38138 01 23 50.496 +07 02 37.92 22.6w 10TL182 F51 C~1w3k 2014 06 30.60259 01 33 25.470 +08 02 13.80 22.5G 10TL182 F51 C~36lx 2014 06 30.60390 01 33 25.471 +08 02 13.82 23.2G 10TL182 F51 C~36lx 2014 06 30.60456 01 33 25.480 +08 02 13.96 23.0G 10TL182 F51 C~36lx 2014 08 25.55659 01 33 21.807 +07 59 36.53 23.0G 10TL182 F51 C~36lx 2014 08 25.58402 01 33 21.721 +07 59 36.33 22.5G 10TL182 F51 C~36lx 2014 08 26.56295 01 33 19.321 +07 59 20.70 22.6G 10TL182 F51 C~36lx 2014 08 26.57919 01 33 19.293 +07 59 20.37 22.5G 10TL182 F51 C~36lx 2014 08 28.45577 01 33 14.460 +07 58 48.80 22.2G 10TL182 F51 C~36lx 2014 08 28.46809 01 33 14.441 +07 58 48.06 22.2G 10TL182 F51 C~36lx 2014 09 19.46612 01 32 00.753 +07 51 01.93 21.4G 10TL182 F51 C~36lx 2014 09 19.47846 01 32 00.733 +07 51 01.74 22.1G 10TL182 F51 C~36lx 2014 09 19.49087 01 32 00.639 +07 51 01.25 22.4G 10TL182 F51 C~36lx 2014 09 19.50333 01 32 00.624 +07 51 01.24 22.3G 10TL182 F51 C~36lx 2014 11 20.36513 01 27 31.035 +07 24 47.41 23.0G 10TL182 F51 C~36lx 2014 11 20.37806 01 27 30.987 +07 24 47.11 22.9G 10TL182 F51 C~36lx 2014 11 20.39096 01 27 30.961 +07 24 46.88 22.5G 10TL182 F51 C~36lx 2014 11 20.40390 01 27 30.879 +07 24 46.68 22.8G 10TL182 F51 C~36lx 2014 11 22.30254 01 27 24.050 +07 24 09.00 22.7G 10TL182 F51 C~36lx 2014 11 22.31652 01 27 23.987 +07 24 08.90 22.7G 10TL182 F51 C~36lx 2014 11 22.32937 01 27 23.945 +07 24 08.56 22.6G 10TL182 F51 C~36lx 2014 11 22.34224 01 27 23.909 +07 24 08.47 22.6G 10TL182 F51 C~36lx 2014 11 28.29716 01 27 03.813 +07 22 19.89 22.8G 10TL182 F51 C~36lx 2014 12 18.29823 01 26 14.978 +07 18 13.81 22.8G 10TL182 F51 C~36lx 2015 01 08.22089 01 26 00.692 +07 17 42.14 23.8G 10TL182 F51 C~36lx 2015 01 08.23262 01 26 00.708 +07 17 42.59 22.7G 10TL182 F51 C~36lx 2015 01 08.23328 01 26 00.700 +07 17 42.35 23.0G 10TL182 F51 C~36lx 2015 01 08.24502 01 26 00.699 +07 17 42.70 22.0G 10TL182 F51 C~36lx 2015 01 08.24569 01 26 00.719 +07 17 42.31 22.6G 10TL182 F51 C~36lx 2015 01 08.25741 01 26 00.750 +07 17 42.62 20.9G 10TL182 F51 C~36lx 2015 01 10.26128 01 26 01.498 +07 17 52.48 22.7G 10TL182 F51 C~36lx 2015 09 12.44127 01 37 48.373 +08 24 52.25 22.0G 10TL182 F51 C~36lx 2015 09 12.45167 01 37 48.326 +08 24 52.03 22.3G 10TL182 F51 C~36lx 2015 09 12.46208 01 37 48.312 +08 24 51.66 22.7G 10TL182 F51 C~36lx 2015 09 12.47255 01 37 48.260 +08 24 51.53 22.2G 10TL182 F51 C~36lx 2015 10 15.34381 01 35 29.432 +08 11 00.28 22.8G 10TL182 F51 C~36lx 2015 10 16.35355 01 35 24.733 +08 10 32.72 22.4G 10TL182 F51 C~36lx 2015 10 16.38359 01 35 24.589 +08 10 32.16 22.9G 10TL182 F51 C~36lx 2015 10 18.40547 01 35 15.178 +08 09 37.63 22.5G 10TL182 F51 C~36lx 2015 10 18.41664 01 35 15.095 +08 09 37.05 22.3G 10TL182 F51 C~36lx 2015 10 18.42783 01 35 15.047 +08 09 36.86 22.3G 10TL182 F51 C~36lx 2015 10 18.43903 01 35 15.010 +08 09 36.71 22.4G 10TL182 F51 C~36lx 2015 10 19.39061 01 35 10.584 +08 09 10.75 21.8G 10TL182 F51 C~36lx 2015 10 19.40205 01 35 10.528 +08 09 10.95 22.5G 10TL182 F51 C~36lx 2015 10 19.41356 01 35 10.486 +08 09 10.01 23.2G 10TL182 F51 C~36lx 2015 12 03.23665 01 32 07.526 +07 52 12.45 21.3G 10TL182 F51 C~36lx 2015 12 03.24920 01 32 07.499 +07 52 12.41 21.8G 10TL182 F51 C~36lx 2015 12 07.25988 01 31 56.169 +07 51 14.56 22.8G 10TL182 F51 C~36lx 2015 12 07.27180 01 31 56.131 +07 51 14.56 23.0G 10TL182 F51 C~36lx 2015 12 07.28375 01 31 56.099 +07 51 14.44 23.2G 10TL182 F51 C~36lx 2015 12 07.29566 01 31 56.075 +07 51 14.14 23.1G 10TL182 F51 C~36lx 2015 12 14.32591 01 31 39.232 +07 49 51.13 21.9G 10TL182 F51 C~36lx 2015 12 14.33929 01 31 39.178 +07 49 51.03 22.2G 10TL182 F51 C~36lx 2016 01 29.25403 01 31 37.793 +07 51 39.75 22.8G 10TL182 F51 C~36lx 2016 01 29.26067 01 31 37.813 +07 51 39.38 22.9G 10TL182 F51 C~36lx 2016 01 29.26734 01 31 37.832 +07 51 39.83 22.6G 10TL182 F51 C~36lx 2016 01 29.27402 01 31 37.828 +07 51 39.60 22.4G 10TL182 F51 C~36lx 2016 08 10.51778 01 44 23.410 +09 03 41.86 22.2G 10TL182 F51 C~36lx 2016 08 10.53068 01 44 23.403 +09 03 41.89 22.4G 10TL182 F51 C~36lx 2016 08 10.54363 01 44 23.382 +09 03 41.65 22.3G 10TL182 F51 C~36lx 2016 08 10.55658 01 44 23.361 +09 03 41.77 22.3G 10TL182 F51 C~36lx 2016 08 12.56047 01 44 21.152 +09 03 24.21 23.0G 10TL182 F51 C~36lx 2016 10 06.51162 01 41 28.408 +08 45 33.41 22.9G 10TL182 F51 C~36lx 2016 10 06.52416 01 41 28.340 +08 45 33.01 23.0G 10TL182 F51 C~36lx 2016 10 06.53665 01 41 28.302 +08 45 32.79 22.4G 10TL182 F51 C~36lx 2016 10 06.54917 01 41 28.246 +08 45 32.34 23.0G 10TL182 F51 C~36lx 2017 09 19.57132 01 48 03.310 +09 23 14.62 22.3G 10TL182 F51 C~36lx 2017 09 19.58404 01 48 03.242 +09 23 14.45 20.2G 10TL182 F51 C~36lx 2017 10 22.44818 01 45 38.572 +09 09 18.77 22.3G 10TL182 F51 C~36lx 2017 10 22.45984 01 45 38.538 +09 09 18.54 22.9G 10TL182 F51 C~36lx 2017 10 22.47145 01 45 38.487 +09 09 18.05 23.0G 10TL182 F51 C~36lx 2017 10 22.48312 01 45 38.433 +09 09 17.89 22.5G 10TL182 F51 C~36lx 2017 11 10.28745 01 44 12.423 +09 01 21.93 22.4G 10TL182 F51 C~36lx 2017 11 10.29996 01 44 12.388 +09 01 21.32 23.4G 10TL182 F51 C~36lx 2017 11 10.31248 01 44 12.316 +09 01 21.16 22.5G 10TL182 F51 C~36lx 2017 11 10.32503 01 44 12.249 +09 01 20.82 22.6G 10TL182 F51 C~36lx 2018 02 04.23425 01 42 16.301 +08 53 30.36 22.5G 10TL182 F51 C~36lx 2018 02 04.24584 01 42 16.321 +08 53 30.63 22.5G 10TL182 F51 C~36lx 2018 02 04.25746 01 42 16.365 +08 53 30.76 22.7G 10TL182 F51 C~36lx 2018 02 04.26910 01 42 16.402 +08 53 31.06 23.0G 10TL182 F51 C~36lx 2020 08 23.54483 02 05 29.465 +11 00 13.73 22.6w 10TL182 F51 C~43xF 2020 08 23.55558 02 05 29.423 +11 00 13.41 22.5w 10TL182 F51 C~43xF 2020 08 23.57689 02 05 29.393 +11 00 12.97 22.6w 10TL182 F51 C~43xF
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 -0.07 0.00 0.04
2 0.0000 0.00 -0.02 0.00 -0.04
3 0.0000 0.00 0.14 0.00 0.03
4 6.9845 0.00 0.15 0.00 -0.05
5 6.9845 0.00 0.36 0.00 -0.32
6 6.9845 0.00 0.53 0.00 -0.25
7 8.9777 0.00 -0.09 0.00 -0.01
8 8.9778 0.00 -0.16 0.00 0.28
9 8.9778 0.00 -0.50 0.00 0.20
10 8.9778 0.00 -0.29 0.00 0.33
11 8.9970 0.00 -0.16 0.00 -0.05
12 8.9970 0.00 -0.16 0.00 -0.12
13 8.9970 0.00 -0.10 0.00 -0.08
14 8.9971 0.00 -0.20 0.00 -0.03
15 9.0433 0.00 -0.21 0.00 0.33
16 9.0433 0.00 -0.13 0.00 0.13
17 9.1278 0.00 0.56 0.00 -0.12
18 9.9416 0.00 -0.20 0.00 -0.01
19 9.9417 0.00 -0.14 0.00 0.11
20 10.9848 0.00 0.11 0.00 -0.20
21 10.9848 0.00 0.28 0.00 0.00
22 10.9929 0.00 -0.71 0.00 -0.21
23 11.0035 0.00 -0.14 0.00 -0.15
24 11.0036 0.00 0.11 0.00 -0.16
25 11.0636 0.00 -0.24 0.00 0.12
26 11.0637 0.00 -0.13 0.00 0.13
27 11.0637 0.00 -0.02 0.00 0.06
28 11.9458 0.00 -0.61 0.00 0.22
29 11.9675 0.00 -0.11 0.00 0.10
30 11.9675 0.00 -0.29 0.00 0.20
31 12.0356 0.00 0.11 0.00 -0.22
32 12.0357 0.00 0.08 0.00 0.05
33 12.0357 0.00 -0.00 0.00 -0.23
34 12.0358 0.00 0.03 0.00 0.02
35 12.7099 0.00 0.16 0.00 -0.06
36 12.7099 0.00 0.13 0.00 -0.05
37 12.7099 0.00 0.24 0.00 0.08
38 12.8631 0.00 0.17 0.00 -0.35
39 12.8632 0.00 -0.08 0.00 -0.10
40 12.8658 0.00 0.07 0.00 0.34
41 12.8659 0.00 0.28 0.00 0.28
42 12.8710 0.00 0.00 0.00 0.62
43 12.8711 0.00 0.22 0.00 0.09
44 12.9313 0.00 -0.23 0.00 -0.04
45 12.9313 0.00 0.22 0.00 0.07
46 12.9314 0.00 -0.43 0.00 -0.11
47 12.9314 0.00 0.10 0.00 0.18
48 13.1008 0.00 -0.16 0.00 0.00
49 13.1008 0.00 -0.15 0.00 -0.03
50 13.1008 0.00 0.18 0.00 -0.00
51 13.1009 0.00 -0.32 0.00 0.06
52 13.1061 0.00 0.15 0.00 -0.08
53 13.1061 0.00 -0.03 0.00 0.09
54 13.1061 0.00 0.04 0.00 -0.00
55 13.1062 0.00 0.21 0.00 0.16
56 13.1225 0.00 0.26 0.00 0.01
57 13.1772 0.00 0.02 0.00 -0.05
58 13.2345 0.00 -0.24 0.00 -0.23
59 13.2345 0.00 -0.04 0.00 0.17
60 13.2346 0.00 -0.16 0.00 -0.08
61 13.2346 0.00 -0.21 0.00 0.22
62 13.2346 0.00 0.08 0.00 -0.17
63 13.2346 0.00 0.51 0.00 0.09
64 13.2401 0.00 0.02 0.00 0.06
65 13.9114 0.00 0.07 0.00 -0.09
66 13.9114 0.00 -0.07 0.00 -0.09
67 13.9114 0.00 0.28 0.00 -0.23
68 13.9115 0.00 0.07 0.00 -0.13
69 14.0015 0.00 0.23 0.00 0.06
70 14.0042 0.00 0.14 0.00 -0.19
71 14.0043 0.00 0.11 0.00 0.06
72 14.0098 0.00 0.13 0.00 0.18
73 14.0099 0.00 -0.32 0.00 -0.10
74 14.0099 0.00 -0.24 0.00 0.01
75 14.0099 0.00 -0.00 0.00 0.17
76 14.0125 0.00 0.02 0.00 -0.12
77 14.0126 0.00 -0.00 0.00 0.39
78 14.0126 0.00 0.18 0.00 -0.24
79 14.1353 0.00 -0.12 0.00 -0.48
80 14.1353 0.00 0.05 0.00 -0.33
81 14.1463 0.00 0.02 0.00 -0.12
82 14.1464 0.00 -0.06 0.00 0.05
83 14.1464 0.00 -0.04 0.00 0.09
84 14.1464 0.00 0.09 0.00 -0.05
85 14.1657 0.00 0.31 0.00 0.13
86 14.1657 0.00 -0.06 0.00 0.16
87 14.2914 0.00 0.03 0.00 0.28
88 14.2914 0.00 0.12 0.00 -0.19
89 14.2915 0.00 0.20 0.00 0.16
90 14.2915 0.00 -0.06 0.00 -0.17
91 14.8233 0.00 0.22 0.00 -0.28
92 14.8233 0.00 0.32 0.00 -0.14
93 14.8234 0.00 0.22 0.00 -0.28
94 14.8234 0.00 0.12 0.00 -0.05
95 14.8289 0.00 0.38 0.00 -0.24
96 14.9793 0.00 0.08 0.00 -0.06
97 14.9794 0.00 -0.07 0.00 -0.13
98 14.9794 0.00 0.22 0.00 -0.02
99 14.9794 0.00 0.24 0.00 -0.14
100 15.9323 0.00 -0.14 0.00 0.26
101 15.9323 0.00 -0.42 0.00 0.38
102 16.0223 0.00 -0.31 0.00 0.00
103 16.0223 0.00 0.01 0.00 0.08
104 16.0223 0.00 0.08 0.00 -0.10
105 16.0224 0.00 0.10 0.00 0.05
106 16.0739 0.00 -0.10 0.00 0.15
107 16.0739 0.00 0.20 0.00 -0.17
108 16.0739 0.00 -0.04 0.00 -0.03
109 16.0740 0.00 -0.21 0.00 -0.08
110 16.3092 0.00 -0.03 0.00 0.02
111 16.3092 0.00 -0.15 0.00 0.10
112 16.3092 0.00 0.10 0.00 0.04
113 16.3093 0.00 0.23 0.00 0.15
114 18.8589 0.00 0.00 0.00 0.27
115 18.8590 0.00 -0.35 0.00 0.07
116 18.8590 0.00 -0.24 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.
10TL182 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.164 44.164 44.164 ecceobj 0.065 0.065 0.065 incobj 1.607 1.607 1.607 qmin 40.037 40.030 40.046 qmax 47.941 47.953 47.924 amean 43.853 43.853 43.853 amin 43.508 43.504 43.507 amax 44.223 44.224 44.227 emean 0.067 0.067 0.067 emin 0.049 0.049 0.049 emax 0.084 0.084 0.084 imean 1.089 1.089 1.089 imin 0.186 0.186 0.186 imax 1.673 1.673 1.672 excite_mean 0.070 0.070 0.070 fracstop 1.000 1.000 1.000 cjmean 3.094 3.094 3.094 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 190.3 190.3 190.2 kozaiamp 179.9 180.0 180.0