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: 14WC509
# Created Fri Nov 22 02:10:10 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 63 observations of 63
# Arc: 12.08y
# First observation: 2009/12/08
# Last observation: 2022/01/07
# Chi-squared of fit: 23.90 DOF: 120 RMS: 0.11
# Min/Max residuals: -0.47 0.25
# Exact a, adot, b, bdot, g, gdot:
1.985874E-05 4.242373E-02 -2.578376E-06 -5.384764E-03 3.401584E-02 5.085637E-03
# Covariance matrix:
3.3567E-13 -1.0107E-13 -2.4262E-14 1.0580E-14 -5.1857E-14 -1.6050E-13
-1.0107E-13 3.9548E-14 1.0779E-14 -4.6991E-15 2.3447E-14 7.1283E-14
-2.4262E-14 1.0779E-14 1.5136E-13 -1.9138E-14 5.6750E-15 2.0884E-14
1.0580E-14 -4.6991E-15 -1.9138E-14 3.1276E-15 -2.0598E-15 -9.1522E-15
-5.1857E-14 2.3447E-14 5.6750E-15 -2.0598E-15 1.3768E-13 3.1096E-14
-1.6050E-13 7.1283E-14 2.0884E-14 -9.1522E-15 3.1096E-14 1.3885E-13
# lat0 lon0 xBary yBary zBary JD0
6.075773 85.439951 0.152297 0.103256 -0.969890 2455173.926813
# Heliocentric elements and errors
Epoch: 2455174.5000 = 2009/12/09
Mean Anomaly: 19.40414 +/- 0.003
Argument of Peri: 107.34592 +/- 0.004
Long of Asc Node: 304.21934 +/- 0.000
Inclination: 9.28130 +/- 0.000
Eccentricity: 0.25719896 +/- 0.0000
Semi-Major Axis: 39.51417136 +/- 0.0024
Time of Perihelion: 2450284.3791 +/- 0.8
Perihelion: 29.35116753 +/- 0.0022
Aphelion: 49.67717519 +/- 0.0033
Period (y) 248.3920 +/- 0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 2.55658613 +/- 0.0000
Ecliptic Y 30.09757559 +/- 0.0003
Ecliptic Z 3.11150071 +/- 0.0000
Ecliptic XDOT -0.00336456 +/- 0.0000
Ecliptic YDOT 0.00072835 +/- 0.0000
Ecliptic ZDOT -0.00038772 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 30.36572955 +/- 0.0003
Geocenter to KBO 29.39804118 +/- 0.0003
# Hcoef: 7.07
The following table shows the complete astrometric record for 14WC509. 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 (14WC509) followed by the observatory code and reference code for the source of the astrometry.
2009 12 08.426047 05 39 10.061 +29 25 57.58 21.6G 14WC509 F51 C~400W 2009 12 08.434789 05 39 09.987 +29 25 57.47 21.8G 14WC509 F51 C~400W 2011 11 25.555390 06 02 45.978 +28 52 44.72 21.7G 14WC509 F51 C~400W 2011 11 25.570591 06 02 45.876 +28 52 44.35 21.5G 14WC509 F51 C~400W 2011 11 25.585914 06 02 45.783 +28 52 44.68 21.8G 14WC509 F51 C~400W 2011 11 25.600543 06 02 45.695 +28 52 44.69 22.0G 14WC509 F51 C~400W 2011 11 30.559242 06 02 13.088 +28 52 54.61 21.6G 14WC509 F51 C~400W 2011 11 30.572314 06 02 13.007 +28 52 54.64 22.0G 14WC509 F51 C~400W 2011 12 04.573215 06 01 45.520 +28 52 58.53 21.6G 14WC509 F51 C~400W 2011 12 04.584304 06 01 45.462 +28 52 58.77 21.8G 14WC509 F51 C~400W 2014 11 17.41935 06 35 01.827 +27 39 15.25 22.1w 14WC509 F51 C~1vXq 2014 11 17.43252 06 35 01.749 +27 39 15.35 22.1w 14WC509 F51 C~1vXq 2014 11 17.44561 06 35 01.692 +27 39 15.74 22.1w 14WC509 F51 C~1vXq 2015 01 14.42414 06 28 36.220 +27 42 40.02 22.0w 14WC509 F51 C~1vXq 2015 01 14.43707 06 28 36.135 +27 42 39.96 22.0w 14WC509 F51 C~1vXq 2015 01 14.44996 06 28 36.043 +27 42 39.98 22.0w 14WC509 F51 C~1vXq 2015 01 14.46281 06 28 35.951 +27 42 39.91 21.9w 14WC509 F51 C~1vXq 2015 01 16.43271 06 28 22.512 +27 42 36.64 22.1w 14WC509 F51 C~1vXq 2015 01 16.44434 06 28 22.426 +27 42 36.59 22.0w 14WC509 F51 C~1vXq 2015 01 16.45600 06 28 22.341 +27 42 36.50 21.9w 14WC509 F51 C~1vXq 2015 01 16.46754 06 28 22.269 +27 42 36.53 22.2w 14WC509 F51 C~1vXq 2015 01 23.28299 06 27 37.528 +27 42 19.25 21.9w 14WC509 F51 C~1vXq 2015 01 23.29699 06 27 37.438 +27 42 19.21 21.9w 14WC509 F51 C~1vXq 2015 01 23.31095 06 27 37.342 +27 42 19.14 21.9w 14WC509 F51 C~1vXq 2016 11 10.524911 06 55 18.852 +26 37 31.91 21.8G 14WC509 F51 C~400W 2016 11 10.536542 06 55 18.809 +26 37 32.01 22.1G 14WC509 F51 C~400W 2016 11 10.548196 06 55 18.771 +26 37 32.08 22.3G 14WC509 F51 C~400W 2016 11 10.559900 06 55 18.726 +26 37 32.10 22.1G 14WC509 F51 C~400W 2017 10 29.538837 07 05 21.393 +26 02 40.81 22.4G 14WC509 F51 C~400W 2017 10 29.550505 07 05 21.381 +26 02 40.91 22.3G 14WC509 F51 C~400W 2017 10 29.562190 07 05 21.360 +26 02 40.79 22.4G 14WC509 F51 C~400W 2017 10 29.573892 07 05 21.340 +26 02 41.02 22.1G 14WC509 F51 C~400W 2017 12 25.532074 07 00 48.610 +26 10 10.59 21.7G 14WC509 F51 C~400W 2017 12 25.544176 07 00 48.528 +26 10 10.76 21.8G 14WC509 F51 C~400W 2017 12 25.556315 07 00 48.456 +26 10 10.73 21.5G 14WC509 F51 C~400W 2017 12 25.568406 07 00 48.326 +26 10 11.02 21.9G 14WC509 F51 C~400W 2018 12 17.579050 07 11 12.422 +25 34 02.20 22.0G 14WC509 F51 C~400W 2018 12 17.591345 07 11 12.355 +25 34 02.36 22.2G 14WC509 F51 C~400W 2018 12 17.603691 07 11 12.266 +25 34 02.40 22.2G 14WC509 F51 C~400W 2019 01 02.523824 07 09 24.796 +25 36 26.68 21.6G 14WC509 F51 C~400W 2019 01 02.534873 07 09 24.705 +25 36 26.80 22.1G 14WC509 F51 C~400W 2019 01 02.545917 07 09 24.623 +25 36 26.98 22.2G 14WC509 F51 C~400W 2019 01 02.556900 07 09 24.558 +25 36 26.93 22.1G 14WC509 F51 C~400W 2019 01 09.355731 07 08 37.040 +25 37 21.16 22.0G 14WC509 F51 C~400W 2019 01 09.367605 07 08 36.945 +25 37 21.35 22.0G 14WC509 F51 C~400W 2019 01 09.379563 07 08 36.862 +25 37 21.37 22.1G 14WC509 F51 C~400W 2019 01 09.391528 07 08 36.780 +25 37 21.38 22.0G 14WC509 F51 C~400W 2019 01 25.469797 07 06 47.420 +25 39 00.85 22.4G 14WC509 F51 C~400W 2019 01 25.483448 07 06 47.335 +25 39 00.80 21.8G 14WC509 F51 C~400W 2019 01 25.497017 07 06 47.238 +25 39 00.65 22.0G 14WC509 F51 C~400W 2019 01 25.510670 07 06 47.155 +25 39 00.97 21.8G 14WC509 F51 C~400W 2019 02 04.252050 07 05 46.763 +25 39 36.71 22.2G 14WC509 F51 C~400W 2019 02 04.265076 07 05 46.665 +25 39 37.01 22.2G 14WC509 F51 C~400W 2019 12 08.578563 07 21 21.417 +24 55 40.94 22.5G 14WC509 F52 C~400W 2019 12 08.590542 07 21 21.342 +24 55 41.19 21.9G 14WC509 F52 C~400W 2019 12 08.602433 07 21 21.280 +24 55 41.11 21.6G 14WC509 F52 C~400W 2020 01 20.462152 07 16 40.028 +25 02 38.48 21.8G 14WC509 F51 C~400W 2020 01 20.475604 07 16 39.941 +25 02 38.34 21.7G 14WC509 F51 C~400W 2020 01 20.489070 07 16 39.838 +25 02 38.44 21.7G 14WC509 F51 C~400W 2020 01 20.502613 07 16 39.758 +25 02 38.60 22.1G 14WC509 F51 C~400W 2022 01 07.343110 07 36 01.423 +23 43 39.80 21.7w 14WC509 F52 C~5Lip 2022 01 07.355149 07 36 01.332 +23 43 40.28 21.8w 14WC509 F52 C~5Lip 2022 01 07.367201 07 36 01.250 +23 43 40.18 21.9w 14WC509 F52 C~5Lip
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 -0.03 0.00 0.01
2 0.0000 0.00 -0.15 0.00 -0.06
3 1.9634 0.00 -0.03 0.00 0.15
4 1.9634 0.00 -0.08 0.00 -0.25
5 1.9635 0.00 0.02 0.00 0.04
6 1.9635 0.00 0.13 0.00 0.02
7 1.9771 0.00 -0.05 0.00 0.11
8 1.9771 0.00 0.08 0.00 0.13
9 1.9881 0.00 -0.16 0.00 -0.26
10 1.9881 0.00 0.15 0.00 -0.03
11 4.9418 0.00 0.17 0.00 -0.05
12 4.9418 0.00 -0.02 0.00 -0.04
13 4.9419 0.00 0.09 0.00 0.25
14 5.1006 0.00 -0.10 0.00 0.05
15 5.1006 0.00 -0.01 0.00 0.01
16 5.1007 0.00 -0.04 0.00 0.05
17 5.1007 0.00 -0.07 0.00 0.01
18 5.1061 0.00 0.09 0.00 -0.04
19 5.1061 0.00 -0.00 0.00 -0.07
20 5.1062 0.00 -0.07 0.00 -0.13
21 5.1062 0.00 0.04 0.00 -0.07
22 5.1249 0.00 0.17 0.00 0.06
23 5.1249 0.00 0.18 0.00 0.06
24 5.1249 0.00 0.09 0.00 0.03
25 6.9243 0.00 -0.08 0.00 0.10
26 6.9243 0.00 -0.09 0.00 0.11
27 6.9244 0.00 -0.02 0.00 0.09
28 6.9244 0.00 -0.06 0.00 0.02
29 7.8908 0.00 -0.04 0.00 -0.05
30 7.8908 0.00 0.08 0.00 -0.02
31 7.8909 0.00 0.06 0.00 -0.21
32 7.8909 0.00 0.06 0.00 -0.05
33 8.0468 0.00 -0.05 0.00 -0.02
34 8.0469 0.00 -0.00 0.00 0.07
35 8.0469 0.00 0.20 0.00 -0.05
36 8.0469 0.00 -0.47 0.00 0.15
37 9.0244 0.00 -0.20 0.00 -0.02
38 9.0244 0.00 0.00 0.00 0.02
39 9.0244 0.00 -0.13 0.00 -0.05
40 9.0680 0.00 0.20 0.00 -0.08
41 9.0681 0.00 0.00 0.00 -0.05
42 9.0681 0.00 -0.05 0.00 0.04
43 9.0681 0.00 0.14 0.00 -0.10
44 9.0867 0.00 0.10 0.00 -0.01
45 9.0868 0.00 -0.06 0.00 0.09
46 9.0868 0.00 -0.03 0.00 0.02
47 9.0868 0.00 0.02 0.00 -0.06
48 9.1309 0.00 -0.02 0.00 0.10
49 9.1309 0.00 0.06 0.00 -0.00
50 9.1309 0.00 -0.05 0.00 -0.21
51 9.1310 0.00 0.05 0.00 0.05
52 9.1576 0.00 0.18 0.00 -0.07
53 9.1577 0.00 -0.13 0.00 0.19
54 9.9990 0.00 0.07 0.00 -0.03
55 9.9991 0.00 -0.04 0.00 0.10
56 9.9991 0.00 0.04 0.00 -0.10
57 10.1165 0.00 -0.09 0.00 0.17
58 10.1165 0.00 -0.01 0.00 -0.07
59 10.1165 0.00 -0.17 0.00 -0.07
60 10.1166 0.00 0.02 0.00 -0.00
61 12.0819 0.00 0.19 0.00 -0.14
62 12.0819 0.00 0.06 0.00 0.18
63 12.0820 0.00 0.06 0.00 -0.07
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.
14WC509 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.938 39.938 39.938 ecceobj 0.264 0.264 0.264 incobj 9.265 9.265 9.265 qmin 28.493 28.492 28.494 qmax 50.963 50.954 50.972 amean 39.455 39.455 39.455 amin 38.980 38.987 38.977 amax 40.023 40.021 40.020 emean 0.241 0.241 0.241 emin 0.206 0.206 0.206 emax 0.276 0.276 0.277 imean 11.159 11.159 11.158 imin 9.203 9.203 9.202 imax 13.045 13.045 13.045 excite_mean 0.310 0.310 0.310 fracstop 1.000 1.000 1.000 cjmean 2.941 2.941 2.941 libcent 0 180.2 179.9 179.8 libamp 0 85.5 85.5 85.0 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 87.7 87.7 87.7 kozaiamp 42.5 42.5 42.5