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: 20VN40 # Created Mon Jul 7 01:11:52 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 33 observations of 33 # Arc: 6.36y # First observation: 2017/09/22 # Last observation: 2024/02/01 # Chi-squared of fit: 10.97 DOF: 60 RMS: 0.10 # Min/Max residuals: -0.20 0.27 # Exact a, adot, b, bdot, g, gdot: 1.543046E-05 2.242735E-02 -8.408799E-06 -1.229793E-02 2.247076E-02 -9.324777E-03 # Covariance matrix: 2.6058E-13 -1.1566E-13 -4.4408E-14 4.3095E-14 -3.8566E-14 -5.3594E-13 -1.1566E-13 9.3768E-14 4.9548E-14 -4.7183E-14 6.1793E-14 5.8308E-13 -4.4408E-14 4.9548E-14 2.2710E-13 -7.4349E-14 3.0382E-14 3.6860E-13 4.3095E-14 -4.7183E-14 -7.4349E-14 4.1848E-14 -2.2375E-14 -3.6111E-13 -3.8566E-14 6.1793E-14 3.0382E-14 -2.2375E-14 1.7463E-13 2.4902E-13 -5.3594E-13 5.8308E-13 3.6860E-13 -3.6111E-13 2.4902E-13 4.5048E-12 # lat0 lon0 xBary yBary zBary JD0 -17.435262 46.209765 0.729463 -0.207446 -0.660976 2458018.977421 # Heliocentric elements and errors Epoch: 2458018.5000 = 2017/09/22 Mean Anomaly: 353.70027 +/- 0.003 Argument of Peri: 263.08599 +/- 0.008 Long of Asc Node: 197.37303 +/- 0.000 Inclination: 33.47016 +/- 0.000 Eccentricity: 0.72370447 +/- 0.0001 Semi-Major Axis: 138.28472925 +/- 0.0505 Time of Perihelion: 2468412.4118 +/- 319.5 Perihelion: 38.20745193 +/- 0.0203 Aphelion: 238.36200657 +/- 0.0882 Period (y) 1626.1835 +/- 0.89 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.38463160 +/- 0.0005 Ecliptic Y 30.63935431 +/- 0.0006 Ecliptic Z -13.33448415 +/- 0.0003 Ecliptic XDOT -0.00302836 +/- 0.0000 Ecliptic YDOT 0.00077881 +/- 0.0000 Ecliptic ZDOT -0.00108924 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.16449734 +/- 0.0005 Geocenter to KBO 44.50259324 +/- 0.0008 # Hcoef: 8.23
The following table shows the complete astrometric record for 20VN40. 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 (20VN40) followed by the observatory code and reference code for the source of the astrometry.
2017 09 22.476620 03 14 43.887 -00 03 15.81 20VN40 T09 C~8vME 2017 09 22.569120 03 14 43.655 -00 03 18.88 20VN40 T09 C~8vME 2017 09 22.570520 03 14 43.658 -00 03 18.92 20VN40 T09 C~8vME 2017 09 24.543810 03 14 38.984 -00 04 28.01 20VN40 T09 C~8vME 2017 09 24.596340 03 14 38.850 -00 04 29.68 20VN40 T09 C~8vME 2020 08 15.592826 03 32 38.007 -00 41 33.74 25.2w 20VN40 T14 C~8vME 2020 08 16.558625 03 32 39.101 -00 42 02.69 20VN40 T14 C~8vME 2020 10 18.526646 03 31 03.280 -01 18 50.77 24.6w 20VN40 T14 C~8vME 2020 10 18.585457 03 31 03.062 -01 18 52.95 25.0w 20VN40 T14 C~8vME 2020 10 19.387642 03 31 00.084 -01 19 19.68 24.9w 20VN40 T14 C~8vME 2020 10 19.443264 03 30 59.872 -01 19 21.65 24.8w 20VN40 T14 C~8vME 2020 11 07.336326 03 29 42.738 -01 28 53.95 25.2w 20VN40 T14 C~8vME 2020 11 07.362190 03 29 42.622 -01 28 54.75 24.4w 20VN40 T14 C~8vME 2020 11 08.321186 03 29 38.474 -01 29 20.00 25.3w 20VN40 T14 C~8vME 2020 11 08.346704 03 29 38.355 -01 29 20.51 24.6w 20VN40 T14 C~8vME 2020 11 08.397861 03 29 38.130 -01 29 21.92 24.8w 20VN40 T14 C~8vME 2020 11 09.329744 03 29 34.083 -01 29 46.35 24.5w 20VN40 T14 C~8vME 2020 11 09.355333 03 29 33.960 -01 29 46.80 24.8w 20VN40 T14 C~8vME 2020 11 09.380879 03 29 33.845 -01 29 47.53 24.7w 20VN40 T14 C~8vME 2021 01 09.275523 03 25 47.985 -01 38 42.91 24.6w 20VN40 T14 C~8vME 2021 01 16.225240 03 25 35.308 -01 37 25.28 25.0w 20VN40 T14 C~8vME 2021 10 11.523305 03 37 36.110 -01 35 24.71 24.7w 20VN40 T14 C~8vME 2021 10 11.575164 03 37 35.913 -01 35 26.32 20VN40 T14 C~8vME 2021 10 13.629451 03 37 29.084 -01 36 39.77 24.9w 20VN40 T14 C~8vME 2022 08 22.589885 03 44 54.315 -01 25 26.02 24.7w 20VN40 T14 C~8vME 2022 10 01.555876 03 44 19.883 -01 50 03.45 24.9w 20VN40 T14 C~8vME 2022 10 05.577815 03 44 09.223 -01 52 35.48 25.1w 20VN40 T14 C~8vME 2022 10 30.413972 03 42 41.647 -02 07 00.32 24.9w 20VN40 T14 C~8vME 2022 10 31.423039 03 42 37.476 -02 07 31.19 24.9w 20VN40 T14 C~8vME 2024 01 03.267230 03 44 36.238 -02 43 20.50 20VN40 T15 C~8vME 2024 01 03.363860 03 44 35.938 -02 43 19.77 20VN40 T15 C~8vME 2024 02 01.283650 03 43 42.574 -02 36 12.67 20VN40 T15 C~8vME 2024 02 01.347710 03 43 42.523 -02 36 11.31 20VN40 T15 C~8vME
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 0.08 0.00 -0.03
2 0.0003 0.00 -0.10 0.00 0.13
3 0.0003 0.00 -0.01 0.00 0.13
4 0.0057 0.00 0.07 0.00 -0.13
5 0.0058 0.00 0.04 0.00 0.03
6 2.8970 0.00 -0.11 0.00 0.11
7 2.8996 0.00 0.14 0.00 0.02
8 3.0720 0.00 0.05 0.00 0.05
9 3.0722 0.00 0.11 0.00 -0.16
10 3.0744 0.00 -0.03 0.00 0.02
11 3.0745 0.00 -0.03 0.00 -0.09
12 3.1262 0.00 -0.09 0.00 -0.01
13 3.1263 0.00 -0.12 0.00 -0.12
14 3.1289 0.00 0.08 0.00 -0.03
15 3.1290 0.00 -0.02 0.00 0.13
16 3.1291 0.00 -0.00 0.00 0.06
17 3.1317 0.00 0.13 0.00 -0.16
18 3.1318 0.00 -0.02 0.00 0.05
19 3.1318 0.00 -0.04 0.00 -0.02
20 3.2986 0.00 -0.04 0.00 -0.10
21 3.3176 0.00 0.04 0.00 -0.02
22 4.0521 0.00 0.17 0.00 -0.10
23 4.0523 0.00 -0.18 0.00 0.15
24 4.0579 0.00 -0.08 0.00 -0.01
25 4.9148 0.00 0.07 0.00 -0.20
26 5.0242 0.00 0.05 0.00 0.01
27 5.0352 0.00 0.10 0.00 -0.01
28 5.1032 0.00 -0.20 0.00 -0.07
29 5.1059 0.00 -0.08 0.00 0.14
30 6.2801 0.00 0.06 0.00 0.16
31 6.2803 0.00 0.02 0.00 0.27
32 6.3595 0.00 0.06 0.00 -0.10
33 6.3597 0.00 -0.08 0.00 -0.17
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.
20VN40 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 143.880 143.876 143.884 ecceobj 0.733 0.733 0.733 incobj 33.302 33.302 33.302 qmin 36.966 36.995 36.993 qmax 251.698 252.844 252.255 amean 139.624 139.448 139.724 amin 135.918 136.035 136.195 amax 145.471 145.641 145.408 emean 0.723 0.723 0.724 emin 0.711 0.708 0.714 emax 0.736 0.736 0.735 imean 33.772 33.712 33.605 imin 33.259 33.232 33.263 imax 34.640 34.910 34.178 excite_mean 0.912 0.912 0.912 fracstop 1.000 1.000 1.000 cjmean 2.690 2.689 2.690 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 293.1 291.9 292.0 kozaiamp 30.8 30.8 29.1