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: 20VT40 # Created Sun Oct 19 01:12:11 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 33 observations of 33 # Arc: 8.99y # First observation: 2013/11/05 # Last observation: 2022/10/31 # Chi-squared of fit: 3.47 DOF: 60 RMS: 0.06 # Min/Max residuals: -0.18 0.15 # Exact a, adot, b, bdot, g, gdot: 1.608177E-05 3.001762E-02 -8.288533E-06 -1.631602E-02 3.080808E-02 -1.124866E-02 # Covariance matrix: 4.8159E-13 -1.0261E-13 -1.5032E-14 2.2663E-14 -3.2703E-14 -1.4994E-13 -1.0261E-13 7.5926E-14 2.4259E-14 -3.6986E-14 8.5863E-14 2.4227E-13 -1.5032E-14 2.4259E-14 4.5941E-13 -7.3602E-14 3.2446E-14 8.7680E-14 2.2663E-14 -3.6986E-14 -7.3602E-14 2.9218E-14 -5.0785E-14 -1.3387E-13 -3.2703E-14 8.5863E-14 3.2446E-14 -5.0785E-14 2.2011E-13 3.2500E-13 -1.4994E-13 2.4227E-13 8.7680E-14 -1.3387E-13 3.2500E-13 8.7579E-13 # lat0 lon0 xBary yBary zBary JD0 -10.115913 36.456661 -0.104671 -0.172856 -0.969594 2456601.609098 # Heliocentric elements and errors Epoch: 2456602.5000 = 2013/11/06 Mean Anomaly: 314.68095 +/- 0.006 Argument of Peri: 282.84146 +/- 0.005 Long of Asc Node: 199.11864 +/- 0.000 Inclination: 29.89004 +/- 0.000 Eccentricity: 0.34757080 +/- 0.0000 Semi-Major Axis: 39.67343450 +/- 0.0031 Time of Perihelion: 2468092.6680 +/- 9.5 Perihelion: 25.88410719 +/- 0.0026 Aphelion: 53.46276180 +/- 0.0045 Period (y) 249.8952 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 26.43011641 +/- 0.0004 Ecliptic Y 19.65998645 +/- 0.0003 Ecliptic Z -5.70141695 +/- 0.0001 Ecliptic XDOT -0.00258766 +/- 0.0000 Ecliptic YDOT 0.00140779 +/- 0.0000 Ecliptic ZDOT -0.00125171 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.43029783 +/- 0.0004 Geocenter to KBO 32.45923809 +/- 0.0005 # Hcoef: 8.67
The following table shows the complete astrometric record for 20VT40. 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 (20VT40) followed by the observatory code and reference code for the source of the astrometry.
2013 11 05.10832 02 29 49.06 +04 06 09.6 24.1r 20VT40 W84 C~93U3 2013 11 05.20237 02 29 48.53 +04 06 06.3 20VT40 W84 C~93U3 2013 11 05.25807 02 29 48.20 +04 06 04.3 20VT40 W84 C~93U3 2020 08 14.592156 03 32 06.139 +02 27 01.84 24.0w 20VT40 T14 C~93U3 2020 08 16.567000 03 32 09.449 +02 25 51.73 24.0w 20VT40 T14 C~93U3 2020 10 16.565819 03 30 05.156 +01 40 30.24 23.7w 20VT40 T14 C~93U3 2020 10 18.438450 03 29 55.470 +01 39 05.42 23.9w 20VT40 T14 C~93U3 2020 10 19.505596 03 29 49.826 +01 38 17.50 23.4w 20VT40 T14 C~93U3 2020 10 19.552098 03 29 49.572 +01 38 15.39 23.7w 20VT40 T14 C~93U3 2020 11 08.308243 03 27 54.607 +01 24 44.72 23.8w 20VT40 T14 C~93U3 2020 11 09.420478 03 27 47.716 +01 24 04.44 23.6w 20VT40 T14 C~93U3 2020 11 09.445857 03 27 47.552 +01 24 03.47 23.6w 20VT40 T14 C~93U3 2020 11 09.471400 03 27 47.397 +01 24 02.74 23.7w 20VT40 T14 C~93U3 2020 11 10.333454 03 27 42.063 +01 23 31.94 23.7w 20VT40 T14 C~93U3 2020 11 10.359430 03 27 41.907 +01 23 30.99 23.7w 20VT40 T14 C~93U3 2020 11 12.381192 03 27 29.309 +01 22 20.68 23.6w 20VT40 T14 C~93U3 2020 12 23.336306 03 23 34.394 +01 08 43.77 23.7w 20VT40 T14 C~93U3 2020 12 23.361621 03 23 34.273 +01 08 43.66 23.6w 20VT40 T14 C~93U3 2020 12 23.387317 03 23 34.159 +01 08 43.52 23.8w 20VT40 T14 C~93U3 2021 01 17.273509 03 22 11.831 +01 11 03.51 24.0w 20VT40 T14 C~93U3 2021 01 17.308288 03 22 11.755 +01 11 04.05 24.0w 20VT40 T14 C~93U3 2021 01 17.363805 03 22 11.655 +01 11 04.96 24.3w 20VT40 T14 C~93U3 2021 01 17.389417 03 22 11.590 +01 11 05.07 24.1w 20VT40 T14 C~93U3 2021 09 06.599496 03 41 13.408 +01 47 08.04 23.9w 20VT40 T14 C~93U3 2021 09 07.558604 03 41 12.644 +01 46 24.21 23.9w 20VT40 T14 C~93U3 2021 09 12.477516 03 41 06.921 +01 42 36.00 23.5w 20VT40 T14 C~93U3 2021 10 11.514522 03 39 36.840 +01 19 15.37 24.2w 20VT40 T14 C~93U3 2021 10 11.557917 03 39 36.637 +01 19 13.39 23.9w 20VT40 T14 C~93U3 2021 10 11.592759 03 39 36.481 +01 19 11.69 23.8w 20VT40 T14 C~93U3 2021 10 13.620567 03 39 27.010 +01 17 35.65 23.7w 20VT40 T14 C~93U3 2022 08 21.592212 03 50 14.042 +01 33 44.04 23.8w 20VT40 T14 C~93U3 2022 08 25.537790 03 50 19.469 +01 31 00.36 23.8w 20VT40 T14 C~93U3 2022 10 31.469076 03 47 12.141 +00 38 18.17 23.5w 20VT40 T14 C~93U3
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 -0.13 0.00 -0.06
2 0.0003 0.00 0.11 0.00 0.04
3 0.0004 0.00 0.01 0.00 0.05
4 6.7748 0.00 -0.01 0.00 -0.03
5 6.7802 0.00 -0.09 0.00 0.02
6 6.9472 0.00 0.04 0.00 -0.03
7 6.9523 0.00 0.03 0.00 0.02
8 6.9552 0.00 0.01 0.00 0.04
9 6.9554 0.00 -0.01 0.00 0.02
10 7.0094 0.00 -0.02 0.00 -0.04
11 7.0125 0.00 -0.01 0.00 -0.05
12 7.0126 0.00 -0.07 0.00 -0.11
13 7.0126 0.00 0.03 0.00 0.07
14 7.0150 0.00 0.03 0.00 -0.00
15 7.0151 0.00 0.15 0.00 -0.04
16 7.0206 0.00 0.04 0.00 0.03
17 7.1327 0.00 -0.01 0.00 0.01
18 7.1328 0.00 -0.05 0.00 0.01
19 7.1329 0.00 0.04 0.00 -0.03
20 7.2010 0.00 0.03 0.00 -0.00
21 7.2011 0.00 -0.06 0.00 0.02
22 7.2012 0.00 0.10 0.00 0.10
23 7.2013 0.00 -0.11 0.00 -0.18
24 7.8371 0.00 0.00 0.00 -0.01
25 7.8397 0.00 -0.01 0.00 -0.06
26 7.8532 0.00 -0.03 0.00 0.01
27 7.9327 0.00 -0.05 0.00 -0.01
28 7.9328 0.00 -0.04 0.00 0.08
29 7.9329 0.00 0.07 0.00 0.03
30 7.9384 0.00 0.07 0.00 -0.00
31 8.7926 0.00 -0.05 0.00 -0.03
32 8.8034 0.00 0.03 0.00 0.03
33 8.9866 0.00 0.01 0.00 0.03
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.
20VT40 quality flag:3 Type: 3:2E 3:2E 3:2E Type: 6:4II 6:4II 6:4II axisobj 39.769 39.769 39.769 ecceobj 0.345 0.345 0.345 incobj 29.801 29.801 29.801 qmin 25.362 25.362 25.362 qmax 54.111 54.105 54.131 amean 39.454 39.453 39.454 amin 39.073 39.065 39.077 amax 39.943 39.947 39.943 emean 0.281 0.281 0.281 emin 0.189 0.190 0.189 emax 0.356 0.356 0.356 imean 31.752 31.751 31.752 imin 29.556 29.555 29.557 imax 34.049 34.048 34.050 excite_mean 0.599 0.599 0.599 fracstop 1.000 1.000 1.000 cjmean 2.627 2.627 2.627 libcent 0 181.6 180.7 181.5 libamp 0 54.6 54.0 54.6 libcent 1 178.4 177.8 178.8 libamp 1 172.3 171.2 172.4 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 275.0 275.0 275.0 kozaiamp 50.1 50.0 50.1