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: 13VK46 # Created Sun Dec 22 02:09:51 2024 # Orbit generated from Bernstein formalism # Fitting 23 observations of 23 # Arc: 3.93y # First observation: 2013/10/13 # Last observation: 2017/09/18 Preliminary a, adot, b, bdot, g, gdot: 0.000446 0.040882 -0.000059 -0.007785 0.033508 0.000000 # Chi-squared of fit: 5.08 DOF: 40 RMS: 0.08 # Min/Max residuals: -0.14 0.25 # Exact a, adot, b, bdot, g, gdot: 2.011483E-05 4.185731E-02 -3.402464E-06 -7.937968E-03 3.372480E-02 6.437076E-03 # Covariance matrix: 3.4932E-13 -3.5937E-13 -2.8173E-14 4.7812E-14 6.5694E-14 -1.4703E-12 -3.5937E-13 5.6743E-13 5.0025E-14 -9.0525E-14 4.9634E-14 2.7942E-12 -2.8173E-14 5.0025E-14 1.6881E-13 -6.6203E-14 5.2960E-15 2.6264E-13 4.7812E-14 -9.0525E-14 -6.6203E-14 4.9806E-14 -2.9806E-14 -4.9877E-13 6.5694E-14 4.9634E-14 5.2960E-15 -2.9806E-14 6.0255E-13 9.5485E-13 -1.4703E-12 2.7942E-12 2.6264E-13 -4.9877E-13 9.5485E-13 1.5436E-11 # lat0 lon0 xBary yBary zBary JD0 -8.631762 6.544219 -0.227299 -0.145630 -0.960163 2456578.730318 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 20.76731 +/- 0.009 Argument of Peri: 178.87533 +/- 0.017 Long of Asc Node: 149.51816 +/- 0.001 Inclination: 13.58130 +/- 0.000 Eccentricity: 0.30355017 +/- 0.0001 Semi-Major Axis: 41.63240070 +/- 0.0066 Time of Perihelion: 2450910.4097 +/- 2.1 Perihelion: 28.99487829 +/- 0.0066 Aphelion: 54.26992312 +/- 0.0098 Period (y) 268.6305 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.06322489 +/- 0.0007 Ecliptic Y 3.68065117 +/- 0.0001 Ecliptic Z -4.45038055 +/- 0.0001 Ecliptic XDOT 0.00002376 +/- 0.0000 Ecliptic YDOT 0.00342234 +/- 0.0000 Ecliptic ZDOT -0.00071541 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.61291510 +/- 0.0007 Geocenter to KBO 29.65176557 +/- 0.0007 # Hcoef: 8.46
The following table shows the complete astrometric record for 13VK46. 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 (13VK46) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.22954 00 37 42.451 -05 19 45.05 23.2i 13VK46 W84 C~4yRU 2013 11 08.08168 00 35 29.54 -05 32 19.6 23.3r 13VK46 W84 C~3clY 2013 11 08.08306 00 35 29.541 -05 32 19.74 22.9i 13VK46 W84 C~4yRU 2013 11 08.08443 00 35 29.522 -05 32 19.47 23.5z 13VK46 W84 C~4yRU 2014 09 21.19136 00 49 19.50 -04 32 27.5 23.7V 13VK46 W84 C~3clY 2014 09 21.27145 00 49 19.05 -04 32 31.0 13VK46 W84 C~3clY 2014 09 21.31846 00 49 18.79 -04 32 32.9 13VK46 W84 C~3clY 2014 10 02.30370 00 48 16.492 -04 40 22.10 22.7i 13VK46 W84 C~4yRU 2014 10 03.30184 00 48 10.736 -04 41 03.33 23.0r 13VK46 W84 C~4yRU 2014 10 03.30321 00 48 10.728 -04 41 03.29 22.8i 13VK46 W84 C~4yRU 2014 11 14.05768 00 44 31.587 -05 02 22.86 23.6r 13VK46 W84 C~4yRU 2014 11 14.12975 00 44 31.292 -05 02 23.93 23.1i 13VK46 W84 C~4yRU 2014 11 15.12462 00 44 27.269 -05 02 40.25 23.5r 13VK46 W84 C~4yRU 2014 11 15.16379 00 44 27.108 -05 02 40.88 23.2i 13VK46 W84 C~4yRU 2014 11 16.16255 00 44 23.165 -05 02 56.42 23.1r 13VK46 W84 C~4yRU 2016 08 26.37112 01 09 44.059 -03 10 36.11 23.6r 13VK46 W84 C~4yRU 2016 09 01.36019 01 09 21.138 -03 14 41.79 24.3g 13VK46 W84 C~4yRU 2016 10 29.23433 01 04 13.155 -03 52 52.22 23.0i 13VK46 W84 C~4yRU 2017 08 22.41973 01 18 53.984 -02 36 26.48 22.7i 13VK46 W84 C~4yRU 2017 08 28.29776 01 18 34.995 -02 40 15.27 22.7r 13VK46 W84 C~4yRU 2017 09 03.39959 01 18 12.022 -02 44 23.22 24.7g 13VK46 W84 C~4yRU 2017 09 14.30989 01 17 23.747 -02 52 03.33 23.4z 13VK46 W84 C~4yRU 2017 09 18.31390 01 17 04.042 -02 54 54.43 23.1i 13VK46 W84 C~4yRU
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 -0.10 0.00 -0.07
2 0.0708 -2121.28 0.06 94.20 0.05
3 0.0708 -2121.32 0.12 94.06 -0.10
4 0.0708 -2121.48 0.06 94.42 0.25
5 0.9390 10693.79 -0.13 -1555.34 -0.09
6 0.9392 10686.21 -0.12 -1555.85 -0.09
7 0.9393 10681.87 0.00 -1556.03 0.02
8 0.9694 9637.91 -0.01 -1612.51 0.03
9 0.9721 9542.34 0.00 -1615.81 -0.06
10 0.9721 9542.24 0.04 -1615.72 0.03
11 1.0865 6023.36 -0.04 -1477.86 -0.06
12 1.0867 6018.89 0.11 -1477.08 0.03
13 1.0894 5957.21 -0.02 -1468.03 0.04
14 1.0895 5954.75 -0.04 -1467.64 0.03
15 1.0922 5894.48 -0.05 -1458.35 0.01
16 2.8697 29638.98 0.18 -4492.68 -0.14
17 2.8861 29217.11 0.15 -4577.90 -0.03
18 3.0445 23986.73 -0.06 -4793.96 0.00
19 3.8582 38230.85 0.03 -6015.85 -0.01
20 3.8742 37865.78 -0.13 -6109.20 0.09
21 3.8910 37436.54 -0.05 -6195.34 0.03
22 3.9208 36561.12 -0.08 -6319.83 -0.05
23 3.9318 36211.17 0.09 -6355.17 0.08
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.
13VK46 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 41.905 41.928 41.883 ecceobj 0.309 0.309 0.308 incobj 13.556 13.556 13.556 qmin 28.650 28.651 28.547 qmax 56.886 55.830 65.144 amean 41.896 41.359 43.920 amin 41.132 40.085 41.413 amax 43.052 42.441 47.150 emean 0.306 0.296 0.338 emin 0.292 0.269 0.298 emax 0.321 0.315 0.382 imean 12.286 12.430 11.138 imin 11.926 12.003 10.210 imax 12.509 12.865 12.505 excite_mean 0.373 0.366 0.390 fracstop 0.014 0.017 0.023 cjmean 2.917 2.917 2.917 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 189.2 188.6 185.2 kozaiamp 9.8 10.8 11.3