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: 14WS509 # Created Sat Apr 20 01:16:47 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 82 observations of 82 # Arc: 12.19y # First observation: 2010/09/21 # Last observation: 2022/12/01 # Chi-squared of fit: 89.07 DOF: 158 RMS: 0.18 # Min/Max residuals: -0.41 0.50 # Exact a, adot, b, bdot, g, gdot: 1.518864E-05 2.289106E-02 1.808511E-06 1.006603E-03 2.353292E-02 -1.681293E-05 # Covariance matrix: 1.4591E-13 -3.0162E-14 2.5909E-15 -1.0345E-15 4.8191E-14 -8.4040E-14 -3.0162E-14 1.8762E-14 -1.4536E-15 7.4906E-16 2.4604E-14 6.2398E-14 2.5909E-15 -1.4536E-15 6.2265E-14 -9.4737E-15 -1.0567E-15 -5.4969E-15 -1.0345E-15 7.4906E-16 -9.4737E-15 2.0067E-15 9.5099E-16 2.7969E-15 4.8191E-14 2.4604E-14 -1.0567E-15 9.5099E-16 1.4236E-13 8.2111E-14 -8.4040E-14 6.2398E-14 -5.4969E-15 2.7969E-15 8.2111E-14 2.3273E-13 # lat0 lon0 xBary yBary zBary JD0 -1.138778 60.824324 0.886820 -0.009192 -0.461492 2455460.994346 # Heliocentric elements and errors Epoch: 2455460.5000 = 2010/09/21 Mean Anomaly: 331.52230 +/- 0.035 Argument of Peri: 6.39687 +/- 0.037 Long of Asc Node: 83.91927 +/- 0.001 Inclination: 2.73675 +/- 0.000 Eccentricity: 0.03904425 +/- 0.0000 Semi-Major Axis: 44.47543444 +/- 0.0028 Time of Perihelion: 2464030.5070 +/- 13.9 Perihelion: 42.73892436 +/- 0.0033 Aphelion: 46.21194451 +/- 0.0034 Period (y) 296.6119 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 21.71406555 +/- 0.0003 Ecliptic Y 37.06479901 +/- 0.0006 Ecliptic Z -0.84444491 +/- 0.0000 Ecliptic XDOT -0.00232476 +/- 0.0000 Ecliptic YDOT 0.00130495 +/- 0.0000 Ecliptic ZDOT 0.00011711 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.96526665 +/- 0.0005 Geocenter to KBO 42.49368399 +/- 0.0007 # Hcoef: 6.19
The following table shows the complete astrometric record for 14WS509. 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 (14WS509) followed by the observatory code and reference code for the source of the astrometry.
2010 09 21.49358 03 55 42.524 +19 12 30.89 22.3G 14WS509 F51 C~2rYE 2010 10 10.46320 03 54 52.882 +19 09 49.03 22.5G 14WS509 F51 C~2rYE 2010 10 10.47793 03 54 52.821 +19 09 48.51 23.2G 14WS509 F51 C~2rYE 2010 11 09.52718 03 52 46.067 +19 03 20.47 22.3w 14WS509 F51 C~1vXs 2010 11 09.54533 03 52 45.976 +19 03 19.96 22.2w 14WS509 F51 C~1vXs 2010 11 09.56361 03 52 45.869 +19 03 20.00 22.5w 14WS509 F51 C~1vXs 2011 10 24.54868 03 59 27.426 +19 26 44.26 22.4w 14WS509 F51 C~1vXs 2011 10 24.56392 03 59 27.358 +19 26 43.92 22.3w 14WS509 F51 C~1vXs 2011 10 24.57909 03 59 27.313 +19 26 43.79 22.6w 14WS509 F51 C~1vXs 2011 10 24.59437 03 59 27.238 +19 26 43.59 22.4w 14WS509 F51 C~1vXs 2011 12 01.51736 03 56 25.664 +19 18 04.50 22.2G 14WS509 F51 C~2rYE 2012 10 21.55906 04 05 05.396 +19 46 13.20 22.2G 14WS509 F51 C~2rYE 2012 10 21.57510 04 05 05.325 +19 46 12.94 22.2G 14WS509 F51 C~2rYE 2012 10 21.59118 04 05 05.272 +19 46 12.46 22.4G 14WS509 F51 C~2rYE 2012 10 21.60734 04 05 05.226 +19 46 12.54 22.0G 14WS509 F51 C~2rYE 2012 11 07.37462 04 03 51.276 +19 42 47.23 22.8G 14WS509 F51 C~2rYE 2012 12 10.26910 04 01 08.195 +19 35 28.54 22.3w 14WS509 F51 C~1vXs 2012 12 10.28457 04 01 08.112 +19 35 28.05 22.6w 14WS509 F51 C~1vXs 2012 12 10.30010 04 01 08.000 +19 35 27.86 22.4w 14WS509 F51 C~1vXs 2012 12 10.32572 04 01 07.898 +19 35 27.70 22.5w 14WS509 F51 C~1vXs 2013 10 25.56160 04 10 20.548 +20 03 57.68 22.3G 14WS509 F51 C~2rYE 2013 11 09.51954 04 09 13.191 +20 01 00.22 22.2w 14WS509 F51 C~1vXs 2013 11 09.53463 04 09 13.116 +20 01 00.08 22.4w 14WS509 F51 C~1vXs 2013 11 09.56493 04 09 12.984 +20 00 59.37 22.0w 14WS509 F51 C~1vXs 2013 11 26.33368 04 07 49.489 +19 57 23.29 22.6G 14WS509 F51 C~2rYE 2013 11 26.34897 04 07 49.389 +19 57 23.26 23.0G 14WS509 F51 C~2rYE 2013 11 26.36430 04 07 49.333 +19 57 23.06 22.8G 14WS509 F51 C~2rYE 2013 11 26.37967 04 07 49.248 +19 57 22.63 22.3G 14WS509 F51 C~2rYE 2014 10 04.51590 04 17 03.622 +20 24 49.83 22.5G 14WS509 F51 C~2rYE 2014 11 12.58632 04 14 31.890 +20 18 25.70 22.7G 14WS509 F51 C~2rYE 2014 11 17.37138 04 14 08.324 +20 17 27.44 22.1G 14WS509 F51 C~2rYE 2014 11 17.37212 04 14 08.307 +20 17 27.35 21.9G 14WS509 F51 C~2rYE 2014 11 17.38424 04 14 08.263 +20 17 27.19 22.4G 14WS509 F51 C~2rYE 2014 11 17.38498 04 14 08.232 +20 17 27.20 22.3G 14WS509 F51 C~2rYE 2014 11 19.35932 04 13 58.362 +20 17 02.90 22.1w 14WS509 F51 C~1vXs 2014 11 19.38498 04 13 58.223 +20 17 02.88 22.2w 14WS509 F51 C~1vXs 2014 11 19.39783 04 13 58.176 +20 17 02.54 22.3w 14WS509 F51 C~1vXs 2014 12 13.28748 04 11 58.018 +20 12 11.89 22.7w 14WS509 F51 C~1vXs 2014 12 13.30011 04 11 57.943 +20 12 11.33 22.8w 14WS509 F51 C~1vXs 2014 12 13.32546 04 11 57.826 +20 12 11.29 22.6w 14WS509 F51 C~1vXs 2015 01 22.35107 04 09 26.305 +20 06 30.71 23.1G 14WS509 F51 C~2rYE 2015 01 24.36318 04 09 21.796 +20 06 22.26 22.1G 14WS509 F51 C~2rYE 2015 08 21.61300 04 22 50.619 +20 42 46.70 22.7G 14WS509 F51 C~2rYE 2015 09 19.54179 04 23 01.235 +20 42 53.58 21.8G 14WS509 F51 C~2rYE 2015 10 24.46016 04 21 31.320 +20 39 10.09 22.0G 14WS509 F51 C~2rYE 2015 11 03.56206 04 20 48.715 +20 37 29.18 23.1G 14WS509 F51 C~2rYE 2015 11 06.57360 04 20 35.005 +20 36 56.76 22.0G 14WS509 F51 C~2rYE 2015 12 06.45259 04 18 06.202 +20 31 11.46 21.9G 14WS509 F51 C~2rYE 2015 12 06.45785 04 18 06.133 +20 31 11.31 22.3G 14WS509 F51 C~2rYE 2015 12 06.46614 04 18 06.150 +20 31 11.57 22.0G 14WS509 F51 C~2rYE 2015 12 06.47138 04 18 06.073 +20 31 11.06 22.6G 14WS509 F51 C~2rYE 2015 12 06.47971 04 18 06.068 +20 31 11.58 22.0G 14WS509 F51 C~2rYE 2015 12 06.48490 04 18 06.024 +20 31 11.07 22.7G 14WS509 F51 C~2rYE 2015 12 06.49335 04 18 05.954 +20 31 10.63 21.5G 14WS509 F51 C~2rYE 2015 12 06.49853 04 18 05.958 +20 31 10.92 22.4G 14WS509 F51 C~2rYE 2015 12 07.46488 04 18 01.080 +20 30 59.58 22.3G 14WS509 F51 C~2rYE 2015 12 07.47613 04 18 01.018 +20 30 59.44 22.6G 14WS509 F51 C~2rYE 2015 12 07.48735 04 18 00.962 +20 30 59.48 22.9G 14WS509 F51 C~2rYE 2015 12 07.49856 04 18 00.904 +20 30 59.51 22.2G 14WS509 F51 C~2rYE 2016 01 07.23099 04 15 42.697 +20 25 52.84 22.7G 14WS509 F51 C~2rYE 2016 01 07.24399 04 15 42.652 +20 25 52.69 23.1G 14WS509 F51 C~2rYE 2016 01 07.25705 04 15 42.641 +20 25 52.97 22.5G 14WS509 F51 C~2rYE 2016 01 07.27013 04 15 42.569 +20 25 52.35 23.6G 14WS509 F51 C~2rYE 2017 10 30.56647 04 32 13.207 +21 10 27.81 22.6G 14WS509 F51 C~2rYE 2017 10 30.57919 04 32 13.128 +21 10 27.65 22.5G 14WS509 F51 C~2rYF 2017 10 30.59183 04 32 13.052 +21 10 27.45 22.6G 14WS509 F51 C~2rYF 2017 10 30.60444 04 32 13.017 +21 10 27.41 22.4G 14WS509 F51 C~2rYF 2017 11 21.36616 04 30 30.829 +21 06 55.60 22.8G 14WS509 F51 C~2rYF 2017 11 21.37916 04 30 30.755 +21 06 55.50 22.9G 14WS509 F51 C~2rYF 2017 11 21.39226 04 30 30.700 +21 06 55.08 22.1G 14WS509 F51 C~2rYF 2017 11 21.40548 04 30 30.620 +21 06 55.27 22.3G 14WS509 F51 C~2rYF 2017 12 10.28515 04 28 53.947 +21 03 37.68 22.0G 14WS509 F51 C~2rYF 2017 12 10.29760 04 28 53.896 +21 03 37.47 21.7G 14WS509 F51 C~2rYF 2017 12 10.31001 04 28 53.796 +21 03 37.37 21.0G 14WS509 F51 C~2rYF 2017 12 10.32241 04 28 53.761 +21 03 37.24 21.9G 14WS509 F51 C~2rYF 2021 11 05.418150 04 54 21.836 +22 06 14.79 22.6G 14WS509 G37 C~5BVM 2021 11 05.459390 04 54 21.662 +22 06 14.60 14WS509 G37 C~5BVM 2021 11 05.501060 04 54 21.481 +22 06 14.29 14WS509 G37 C~5BVM 2022 12 01.483236 04 58 00.067 +22 15 48.07 22.5w 14WS509 F52 C~677k 2022 12 01.495450 04 58 00.045 +22 15 47.83 22.5w 14WS509 F52 C~677k 2022 12 01.507719 04 57 59.941 +22 15 47.83 22.6w 14WS509 F52 C~677k 2022 12 01.519976 04 57 59.887 +22 15 47.74 22.3w 14WS509 F52 C~677l
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 0.09 0.00 -0.22
2 0.0519 0.00 -0.02 0.00 0.23
3 0.0520 0.00 -0.18 0.00 -0.13
4 0.1342 0.00 -0.09 0.00 0.29
5 0.1343 0.00 -0.11 0.00 0.05
6 0.1343 0.00 -0.37 0.00 0.35
7 1.0898 0.00 -0.09 0.00 0.08
8 1.0899 0.00 -0.13 0.00 -0.07
9 1.0899 0.00 0.16 0.00 -0.01
10 1.0899 0.00 0.00 0.00 -0.02
11 1.1938 0.00 0.04 0.00 0.05
12 2.0837 0.00 0.01 0.00 0.00
13 2.0837 0.00 -0.07 0.00 -0.08
14 2.0838 0.00 0.11 0.00 -0.37
15 2.0838 0.00 0.41 0.00 -0.11
16 2.1297 0.00 -0.06 0.00 0.06
17 2.2198 0.00 0.28 0.00 0.31
18 2.2198 0.00 0.17 0.00 0.01
19 2.2199 0.00 -0.37 0.00 0.02
20 2.2199 0.00 -0.02 0.00 0.18
21 3.0940 0.00 0.07 0.00 0.12
22 3.1349 0.00 0.05 0.00 0.14
23 3.1350 0.00 0.03 0.00 0.19
24 3.1350 0.00 0.27 0.00 -0.13
25 3.1809 0.00 -0.01 0.00 -0.23
26 3.1810 0.00 -0.33 0.00 -0.06
27 3.1810 0.00 0.02 0.00 -0.06
28 3.1811 0.00 -0.07 0.00 -0.30
29 4.0357 0.00 0.11 0.00 -0.22
30 4.1426 0.00 0.08 0.00 0.08
31 4.1557 0.00 0.26 0.00 0.00
32 4.1557 0.00 0.07 0.00 -0.08
33 4.1558 0.00 0.33 0.00 -0.09
34 4.1558 0.00 -0.08 0.00 -0.08
35 4.1612 0.00 0.10 0.00 -0.08
36 4.1612 0.00 -0.02 0.00 0.21
37 4.1613 0.00 0.26 0.00 0.02
38 4.2267 0.00 -0.03 0.00 0.29
39 4.2267 0.00 -0.22 0.00 -0.13
40 4.2268 0.00 -0.10 0.00 0.12
41 4.3364 0.00 0.02 0.00 -0.13
42 4.3419 0.00 -0.17 0.00 -0.16
43 4.9148 0.00 -0.03 0.00 -0.10
44 4.9940 0.00 -0.01 0.00 -0.41
45 5.0896 0.00 0.02 0.00 -0.11
46 5.1172 0.00 -0.39 0.00 0.13
47 5.1255 0.00 -0.36 0.00 0.04
48 5.2073 0.00 0.23 0.00 0.06
49 5.2073 0.00 -0.40 0.00 -0.03
50 5.2073 0.00 0.50 0.00 0.33
51 5.2073 0.00 -0.25 0.00 -0.12
52 5.2074 0.00 0.31 0.00 0.50
53 5.2074 0.00 0.05 0.00 0.05
54 5.2074 0.00 -0.34 0.00 -0.29
55 5.2074 0.00 0.11 0.00 0.06
56 5.2101 0.00 0.15 0.00 -0.14
57 5.2101 0.00 0.08 0.00 -0.15
58 5.2101 0.00 0.10 0.00 0.02
59 5.2101 0.00 0.10 0.00 0.19
60 5.2943 0.00 -0.22 0.00 -0.05
61 5.2943 0.00 -0.17 0.00 -0.10
62 5.2944 0.00 0.41 0.00 0.28
63 5.2944 0.00 0.06 0.00 -0.24
64 7.1077 0.00 0.31 0.00 0.02
65 7.1077 0.00 -0.06 0.00 -0.02
66 7.1077 0.00 -0.39 0.00 -0.11
67 7.1078 0.00 -0.10 0.00 -0.04
68 7.1673 0.00 -0.03 0.00 0.03
69 7.1674 0.00 -0.14 0.00 0.07
70 7.1674 0.00 0.04 0.00 -0.22
71 7.1675 0.00 -0.14 0.00 0.11
72 7.2191 0.00 -0.01 0.00 -0.03
73 7.2192 0.00 0.19 0.00 -0.12
74 7.2192 0.00 -0.35 0.00 -0.09
75 7.2192 0.00 0.08 0.00 -0.10
76 11.1237 0.00 -0.01 0.00 -0.02
77 11.1238 0.00 0.08 0.00 0.07
78 11.1239 0.00 0.09 0.00 0.04
79 12.1944 0.00 -0.22 0.00 0.17
80 12.1944 0.00 0.41 0.00 0.01
81 12.1944 0.00 -0.18 0.00 0.10
82 12.1945 0.00 -0.02 0.00 0.10
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.
14WS509 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.707 44.707 44.707 ecceobj 0.043 0.043 0.043 incobj 2.734 2.734 2.734 qmin 41.590 41.586 41.582 qmax 47.363 47.364 47.347 amean 44.367 44.367 44.368 amin 44.022 44.023 44.021 amax 44.730 44.729 44.733 emean 0.044 0.044 0.044 emin 0.028 0.028 0.028 emax 0.059 0.059 0.059 imean 1.137 1.137 1.137 imin 0.476 0.476 0.476 imax 1.682 1.682 1.682 excite_mean 0.048 0.048 0.048 fracstop 1.000 1.000 1.000 cjmean 3.103 3.103 3.103 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 170.6 170.8 170.5 kozaiamp 180.0 180.0 179.9