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: 15VK164 # Created Fri Nov 22 02:10:31 2024 # Orbit generated from Bernstein formalism # Fitting 40 observations of 40 # Arc: 2.85y # First observation: 2014/11/17 # Last observation: 2017/09/22 Preliminary a, adot, b, bdot, g, gdot: -0.000384 0.042195 0.000004 -0.001114 0.033946 0.000000 # Chi-squared of fit: 3.80 DOF: 74 RMS: 0.05 # Min/Max residuals: -0.17 0.14 # Exact a, adot, b, bdot, g, gdot: 1.978415E-05 4.188486E-02 -5.831051E-07 -1.107289E-03 3.368998E-02 -5.196100E-03 # Covariance matrix: 2.4813E-13 -2.7427E-13 -1.8396E-15 4.6928E-15 -1.1173E-13 -1.5752E-12 -2.7427E-13 4.3176E-13 3.5737E-15 -8.9809E-15 2.0035E-13 3.0295E-12 -1.8396E-15 3.5737E-15 1.4628E-13 -7.9822E-14 1.6659E-15 2.9034E-14 4.6928E-15 -8.9809E-15 -7.9822E-14 5.8283E-14 -5.0270E-15 -7.2754E-14 -1.1173E-13 2.0035E-13 1.6659E-15 -5.0270E-15 1.9687E-13 1.6018E-12 -1.5752E-12 3.0295E-12 2.9034E-14 -7.2754E-14 1.6018E-12 2.4565E-11 # lat0 lon0 xBary yBary zBary JD0 -1.311185 45.936382 -0.147191 -0.022240 -0.978211 2456978.807838 # Heliocentric elements and errors Epoch: 2456970.5000 = 2014/11/09 Mean Anomaly: 338.64783 +/- 0.015 Argument of Peri: 255.89407 +/- 0.028 Long of Asc Node: 186.04034 +/- 0.007 Inclination: 1.96720 +/- 0.000 Eccentricity: 0.24931091 +/- 0.0001 Semi-Major Axis: 39.31077019 +/- 0.0030 Time of Perihelion: 2462310.0578 +/- 3.6 Perihelion: 29.51016633 +/- 0.0042 Aphelion: 49.11137405 +/- 0.0051 Period (y) 246.4765 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 21.20906495 +/- 0.0003 Ecliptic Y 22.13020300 +/- 0.0003 Ecliptic Z -0.67924194 +/- 0.0000 Ecliptic XDOT -0.00274517 +/- 0.0000 Ecliptic YDOT 0.00205741 +/- 0.0000 Ecliptic ZDOT -0.00008020 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.65993624 +/- 0.0003 Geocenter to KBO 29.68241957 +/- 0.0004 # Hcoef: 9.30
The following table shows the complete astrometric record for 15VK164. 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 (15VK164) followed by the observatory code and reference code for the source of the astrometry.
2014 11 17.30706 02 55 27.011 +15 21 09.87 24.3r 15VK164 568 C~2lVW 2014 11 17.41581 02 55 26.313 +15 21 06.84 23.9r 15VK164 568 C~2lVW 2014 11 17.53006 02 55 25.569 +15 21 03.79 23.8r 15VK164 568 C~2lVW 2014 11 19.32624 02 55 14.276 +15 20 14.38 24.2r 15VK164 568 C~2lVW 2014 11 23.42912 02 54 48.744 +15 18 23.71 24.4r 15VK164 568 C~2lVW 2015 08 11.62323 03 10 59.119 +16 25 43.33 24.4w 15VK164 568 C~2lVW 2015 09 07.53281 03 10 58.723 +16 24 13.23 24.2w 15VK164 568 C~2lVW 2015 09 12.52956 03 10 48.534 +16 23 17.06 24.4w 15VK164 568 C~2lVW 2015 10 07.47166 03 09 16.018 +16 15 57.54 23.7w 15VK164 568 C~2lVW 2015 10 08.47583 03 09 11.018 +16 15 35.19 24.4w 15VK164 568 C~2lVW 2015 10 08.53403 03 09 10.721 +16 15 33.91 24.5w 15VK164 568 C~2lVW 2015 11 06.29151 03 06 21.080 +16 03 18.19 24.6r 15VK164 568 C~2lVW 2015 11 06.35485 03 06 20.654 +16 03 16.54 24.0r 15VK164 568 C~2lVW 2015 11 06.49480 03 06 19.739 +16 03 12.75 23.8r 15VK164 568 C~2lVW 2015 11 07.51356 03 06 13.145 +16 02 44.87 24.2w 15VK164 568 C~2lVW 2015 11 17.27960 03 05 09.867 +15 58 19.20 24.4w 15VK164 568 C~2lVW 2015 11 17.32888 03 05 09.545 +15 58 17.92 24.3w 15VK164 568 C~2lVW 2015 12 13.34220 03 02 34.551 +15 47 44.78 24.4w 15VK164 568 C~2lVW 2015 12 13.40075 03 02 34.235 +15 47 43.55 24.4w 15VK164 568 C~2lVW 2016 01 01.39556 03 01 12.517 +15 42 27.69 24.6w 15VK164 568 C~2lVW 2016 01 07.34177 03 00 54.857 +15 41 24.08 24.3w 15VK164 568 C~2lVW 2016 02 04.27190 03 00 32.482 +15 40 49.63 24.6w 15VK164 568 C~2lVX 2016 02 10.26162 03 00 41.339 +15 41 40.42 24.5w 15VK164 568 C~2lVX 2016 09 06.60560 03 20 40.749 +16 58 20.71 15VK164 568 C~2lVX 2016 09 26.59656 03 19 48.121 +16 53 59.40 24.6w 15VK164 568 C~2lVX 2016 10 10.40230 03 18 46.465 +16 49 28.84 24.4w 15VK164 568 C~2lVX 2016 10 10.46065 03 18 46.176 +16 49 27.57 24.4w 15VK164 568 C~2lVX 2016 11 02.60285 03 16 30.556 +16 40 05.16 24.4w 15VK164 568 C~2lVX 2016 11 03.52184 03 16 24.657 +16 39 41.26 24.4w 15VK164 568 C~2lVX 2016 12 24.29598 03 11 22.135 +16 20 05.47 24.4w 15VK164 568 C~2lVX 2016 12 24.30148 03 11 22.115 +16 20 05.38 24.5w 15VK164 568 C~2lVX 2017 01 01.26608 03 10 50.398 +16 18 11.93 24.6w 15VK164 568 C~2lVX 2017 01 02.37586 03 10 46.526 +16 17 58.60 24.3w 15VK164 568 C~2lVX 2017 01 02.39822 03 10 46.447 +16 17 58.35 24.5w 15VK164 568 C~2lVX 2017 01 02.40371 03 10 46.422 +16 17 58.29 24.2w 15VK164 568 C~2lVX 2017 01 26.27054 03 10 00.266 +16 15 44.52 24.4w 15VK164 568 C~2lVX 2017 01 26.28489 03 10 00.257 +16 15 44.51 24.3w 15VK164 568 C~2lVX 2017 09 15.58250 03 30 15.244 +17 29 33.77 24.2w 15VK164 568 C~2lVX 2017 09 21.62755 03 29 59.562 +17 28 18.39 23.9w 15VK164 568 C~2lVX 2017 09 22.56874 03 29 56.724 +17 28 05.35 24.4w 15VK164 568 C~2lVX
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 0.0003 -10.54 0.00 -0.01 -0.04 3 0.0006 -21.73 -0.09 0.16 0.12 4 0.0055 -192.39 0.00 -0.29 -0.05 5 0.0168 -577.98 0.01 -0.15 -0.08 6 0.7319 14015.15 -0.04 -18.63 0.06 7 0.8055 13985.29 0.00 -104.07 -0.04 8 0.8192 13828.25 -0.17 -118.74 0.05 9 0.8875 12421.57 0.03 -182.18 -0.08 10 0.8903 12345.94 -0.01 -184.18 0.01 11 0.8904 12341.46 0.03 -184.25 0.03 12 0.9692 9781.98 0.14 -225.14 -0.06 13 0.9693 9775.61 -0.00 -225.04 0.04 14 0.9697 9761.85 0.07 -225.06 0.05 15 0.9725 9662.58 -0.03 -225.76 0.03 16 0.9992 8710.45 0.03 -230.00 -0.06 17 0.9994 8705.62 0.04 -229.94 -0.04 18 1.0706 6378.47 0.09 -217.91 -0.02 19 1.0708 6373.75 0.01 -217.82 -0.01 20 1.1228 5151.79 0.06 -191.14 0.12 21 1.1390 4889.01 -0.03 -180.63 0.00 22 1.2155 4569.05 0.02 -122.89 0.04 23 1.2319 4706.15 0.00 -110.10 -0.04 24 1.8051 22661.07 -0.04 -331.60 0.05 25 1.8598 21854.77 0.07 -389.57 -0.01 26 1.8976 20919.87 -0.09 -421.65 0.05 27 1.8978 20915.49 0.11 -421.80 -0.02 28 1.9611 18869.32 0.01 -456.00 -0.03 29 1.9636 18780.51 -0.00 -456.80 -0.03 30 2.1026 14244.44 -0.08 -434.08 -0.00 31 2.1027 14244.13 -0.01 -434.09 -0.02 32 2.1245 13771.69 -0.07 -420.49 -0.11 33 2.1275 13714.16 0.05 -418.31 -0.02 34 2.1276 13712.99 0.04 -418.24 0.00 35 2.1276 13712.62 -0.03 -418.20 0.03 36 2.1929 13033.75 -0.04 -367.56 0.03 37 2.1930 13033.63 -0.07 -367.53 0.02 38 2.8290 31243.37 0.02 -591.50 0.05 39 2.8455 31001.99 0.06 -609.63 -0.03 40 2.8481 30958.47 -0.05 -612.31 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.
15VK164 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.608 39.614 39.602 ecceobj 0.252 0.252 0.252 incobj 1.960 1.960 1.960 qmin 29.125 29.128 29.169 qmax 50.578 50.523 50.492 amean 39.456 39.456 39.456 amin 38.915 38.939 38.896 amax 40.064 40.063 40.084 emean 0.246 0.246 0.246 emin 0.231 0.231 0.231 emax 0.262 0.261 0.262 imean 2.499 2.471 2.583 imin 2.101 1.875 2.163 imax 2.913 3.218 3.054 excite_mean 0.250 0.250 0.250 fracstop 1.000 1.000 1.000 cjmean 2.980 2.980 2.980 libcent 0 180.5 180.1 180.3 libamp 0 119.9 106.4 119.9 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 180.7 197.7 151.0 kozaiamp 180.0 179.9 180.0