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: 13VB72 # Created Tue Apr 1 01:09:54 2025 # Orbit generated from Bernstein formalism # Fitting 23 observations of 23 # Arc: 4.05y # First observation: 2013/10/04 # Last observation: 2017/10/22 Preliminary a, adot, b, bdot, g, gdot: 0.000220 0.026198 0.000083 0.007256 0.024917 0.000000 # Chi-squared of fit: 10.44 DOF: 40 RMS: 0.12 # Min/Max residuals: -0.38 0.22 # Exact a, adot, b, bdot, g, gdot: 1.736712E-05 2.698855E-02 5.303868E-06 7.517544E-03 2.518372E-02 7.963350E-03 # Covariance matrix: 2.5280E-13 -7.8718E-14 3.9387E-16 -5.2188E-15 1.0110E-13 -1.5601E-13 -7.8718E-14 2.7800E-13 -3.2079E-14 7.8293E-14 1.9656E-13 2.7344E-12 3.9387E-16 -3.2079E-14 2.0112E-13 -7.2647E-14 -2.8953E-14 -3.5432E-13 -5.2188E-15 7.8293E-14 -7.2647E-14 5.4655E-14 6.1815E-14 8.6302E-13 1.0110E-13 1.9656E-13 -2.8953E-14 6.1815E-14 3.9255E-13 2.2135E-12 -1.5601E-13 2.7344E-12 -3.5432E-13 8.6302E-13 2.2135E-12 3.0152E-11 # lat0 lon0 xBary yBary zBary JD0 -9.642420 26.187271 0.265416 -0.161444 -0.950884 2456569.703978 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 19.03915 +/- 0.008 Argument of Peri: 276.29741 +/- 0.021 Long of Asc Node: 56.53266 +/- 0.001 Inclination: 17.98167 +/- 0.000 Eccentricity: 0.45084801 +/- 0.0002 Semi-Major Axis: 65.29225944 +/- 0.0153 Time of Perihelion: 2446369.0483 +/- 2.2 Perihelion: 35.85537396 +/- 0.0151 Aphelion: 94.72914492 +/- 0.0255 Period (y) 527.5951 +/- 0.19 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.11090284 +/- 0.0009 Ecliptic Y 17.46645327 +/- 0.0004 Ecliptic Z -6.65089073 +/- 0.0002 Ecliptic XDOT -0.00041225 +/- 0.0000 Ecliptic YDOT 0.00306860 +/- 0.0000 Ecliptic ZDOT 0.00066085 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.66089818 +/- 0.0008 Geocenter to KBO 39.70818759 +/- 0.0010 # Hcoef: 7.29
The following table shows the complete astrometric record for 13VB72. 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 (13VB72) followed by the observatory code and reference code for the source of the astrometry.
2013 10 04.20320 01 51 04.208 +01 06 38.61 23.8g 13VB72 W84 C~55OI 2013 11 04.07060 01 48 39.93 +00 55 20.0 23.3r 13VB72 W84 C~55OI 2013 11 04.13358 01 48 39.64 +00 55 18.9 13VB72 W84 C~55OI 2013 11 04.21602 01 48 39.25 +00 55 17.5 13VB72 W84 C~55OI 2013 11 23.18047 01 47 17.842 +00 51 07.78 22.1i 13VB72 W84 C~55OI 2013 12 21.11163 01 45 55.429 +00 50 52.73 23.4i 13VB72 W84 C~55OI 2014 10 03.33043 01 56 16.636 +02 03 51.71 24.2g 13VB72 W84 C~55OI 2014 10 21.28323 01 54 54.290 +01 56 50.02 23.2r 13VB72 W84 C~55OI 2014 10 21.28460 01 54 54.279 +01 56 50.06 22.9i 13VB72 W84 C~55OI 2015 09 04.32521 02 03 02.997 +03 10 43.25 22.9z 13VB72 W84 C~55OI 2015 11 02.14253 01 59 03.045 +02 48 45.28 23.6r 13VB72 W84 C~55OI 2016 09 09.30187 02 07 42.890 +04 03 06.35 24.0g 13VB72 W84 C~55OI 2016 11 04.21137 02 03 48.877 +03 42 46.27 23.0r 13VB72 W84 C~55OI 2016 11 18.11107 02 02 46.791 +03 39 09.96 23.2i 13VB72 W84 C~55OI 2016 11 18.18130 02 02 46.480 +03 39 09.20 23.1z 13VB72 W84 C~55OI 2017 01 01.21050 02 00 38.20 +03 37 46.5 24.0r 13VB72 T09 C~8FvA 2017 01 01.25232 02 00 38.15 +03 37 47.2 23.9r 13VB72 T09 C~8FvA 2017 01 01.25769 02 00 38.15 +03 37 47.3 23.8r 13VB72 T09 C~8FvA 2017 01 01.37099 02 00 38.00 +03 37 48.2 23.9r 13VB72 T09 C~8FvA 2017 09 18.30162 02 12 07.221 +04 53 30.92 23.7r 13VB72 W84 C~55OI 2017 09 18.30299 02 12 07.222 +04 53 30.69 22.9i 13VB72 W84 C~55OI 2017 09 18.30931 02 12 07.199 +04 53 30.66 24.5g 13VB72 W84 C~55OI 2017 10 22.22735 02 09 45.368 +04 41 01.88 22.9r 13VB72 W84 C~55OI
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 -0.12
2 0.0845 -2263.58 0.05 138.85 0.02
3 0.0847 -2268.04 0.13 139.38 -0.01
4 0.0849 -2274.00 0.10 140.16 0.04
5 0.1368 -3503.86 0.08 343.12 -0.38
6 0.2133 -4664.17 -0.19 770.86 0.21
7 0.9969 5602.56 -0.12 1536.39 0.03
8 1.0461 4298.12 0.03 1582.39 0.01
9 1.0461 4297.98 -0.01 1582.49 0.10
10 1.9168 12736.10 0.01 3122.30 0.12
11 2.0779 8896.94 -0.03 3166.98 0.10
12 2.9325 17798.08 -0.05 4583.45 -0.20
13 3.0856 14067.80 0.12 4680.84 -0.11
14 3.1236 13117.90 -0.08 4808.10 0.04
15 3.1238 13113.26 -0.14 4809.04 0.22
16 3.2444 11282.29 -0.09 5413.96 -0.06
17 3.2445 11281.84 0.06 5414.88 0.17
18 3.2445 11281.88 0.18 5414.98 0.18
19 3.2448 11280.09 0.00 5416.62 -0.02
20 3.9565 22613.89 0.02 6030.54 0.03
21 3.9565 22613.82 0.03 6030.32 -0.19
22 3.9565 22613.48 0.06 6030.41 -0.09
23 4.0493 20340.31 -0.07 6074.67 -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.
13VB72 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 66.035 66.082 65.988 ecceobj 0.457 0.458 0.457 incobj 17.974 17.974 17.974 qmin 35.219 35.215 35.225 qmax 96.675 96.846 96.555 amean 65.129 65.376 65.073 amin 64.268 64.526 64.106 amax 66.254 66.583 66.221 emean 0.442 0.442 0.442 emin 0.427 0.427 0.425 emax 0.459 0.458 0.458 imean 17.778 17.971 17.656 imin 17.000 16.998 16.815 imax 18.705 18.672 18.668 excite_mean 0.537 0.539 0.536 fracstop 1.000 1.000 1.000 cjmean 2.975 2.975 2.976 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 172.9 180.8 170.5 kozaiamp 179.9 180.0 179.9