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: 20VQ40 # Created Sun Oct 19 01:12:11 2025 # Orbit generated from Bernstein formalism # Fitting 41 observations of 41 # Arc: 4.95y # First observation: 2017/11/16 # Last observation: 2022/10/29 Preliminary a, adot, b, bdot, g, gdot: -0.001458 0.030940 0.000367 -0.008998 0.028920 0.000000 # Chi-squared of fit: 4.61 DOF: 76 RMS: 0.06 # Min/Max residuals: -0.17 0.23 # Exact a, adot, b, bdot, g, gdot: 1.654440E-05 2.998046E-02 -4.352842E-06 -8.731893E-03 2.881330E-02 -5.907531E-03 # Covariance matrix: 4.7575E-13 -2.4097E-13 -3.1035E-14 3.9629E-14 -1.0070E-13 -9.3904E-13 -2.4097E-13 1.8590E-13 3.3949E-14 -4.2710E-14 1.0023E-13 1.0135E-12 -3.1035E-14 3.3949E-14 3.5036E-13 -1.0714E-13 1.7935E-14 2.2117E-13 3.9629E-14 -4.2710E-14 -1.0714E-13 4.2902E-14 -2.9316E-14 -2.8003E-13 -1.0070E-13 1.0023E-13 1.7935E-14 -2.9316E-14 1.5787E-13 6.8066E-13 -9.3904E-13 1.0135E-12 2.2117E-13 -2.8003E-13 6.8066E-13 6.6409E-12 # lat0 lon0 xBary yBary zBary JD0 -13.304855 45.244421 -0.153435 -0.226063 -0.956671 2458073.935086 # Heliocentric elements and errors Epoch: 2458070.5000 = 2017/11/13 Mean Anomaly: 307.55183 +/- 0.008 Argument of Peri: 293.60660 +/- 0.011 Long of Asc Node: 187.76625 +/- 0.001 Inclination: 20.58610 +/- 0.000 Eccentricity: 0.20575337 +/- 0.0001 Semi-Major Axis: 39.34186969 +/- 0.0027 Time of Perihelion: 2471201.8313 +/- 1.3 Perihelion: 31.24714743 +/- 0.0041 Aphelion: 47.43659195 +/- 0.0048 Period (y) 246.7691 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 24.36087258 +/- 0.0003 Ecliptic Y 24.78452869 +/- 0.0003 Ecliptic Z -7.98719921 +/- 0.0001 Ecliptic XDOT -0.00253653 +/- 0.0000 Ecliptic YDOT 0.00147693 +/- 0.0000 Ecliptic ZDOT -0.00067839 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.65838368 +/- 0.0003 Geocenter to KBO 34.70619707 +/- 0.0005 # Hcoef: 7.91
The following table shows the complete astrometric record for 20VQ40. 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 (20VQ40) followed by the observatory code and reference code for the source of the astrometry.
2017 11 16.434285 03 06 33.561 +03 39 17.16 23.2r 20VQ40 T14 C~93U2 2017 11 16.435459 03 06 33.558 +03 39 17.29 23.1r 20VQ40 T14 C~93U2 2017 11 16.436633 03 06 33.543 +03 39 17.21 23.2r 20VQ40 T14 C~93U2 2020 08 14.511075 03 32 56.081 +04 28 22.87 23.6w 20VQ40 T14 C~93U2 2020 08 15.537005 03 32 57.584 +04 27 58.00 23.6w 20VQ40 T14 C~93U2 2020 08 16.529299 03 32 58.949 +04 27 33.49 23.7w 20VQ40 T14 C~93U2 2020 08 17.610041 03 33 00.294 +04 27 06.24 23.9w 20VQ40 T14 C~93U2 2020 08 18.611972 03 33 01.445 +04 26 40.55 23.3w 20VQ40 T14 C~93U2 2020 08 19.567568 03 33 02.440 +04 26 15.67 23.7w 20VQ40 T14 C~93U2 2020 10 16.535995 03 31 05.404 +03 54 05.58 23.5w 20VQ40 T14 C~93U2 2020 10 16.574632 03 31 05.228 +03 54 04.22 23.6w 20VQ40 T14 C~93U2 2020 10 16.600315 03 31 05.107 +03 54 03.32 23.7w 20VQ40 T14 C~93U2 2020 10 18.446904 03 30 56.551 +03 52 59.42 23.4w 20VQ40 T14 C~93U2 2020 10 18.472346 03 30 56.424 +03 52 58.46 23.7w 20VQ40 T14 C~93U2 2020 10 18.510480 03 30 56.243 +03 52 57.21 23.6w 20VQ40 T14 C~93U2 2020 10 19.514003 03 30 51.503 +03 52 22.77 23.6w 20VQ40 T14 C~93U2 2020 11 10.385237 03 28 57.000 +03 40 59.75 23.4w 20VQ40 T14 C~93U2 2020 11 10.410642 03 28 56.854 +03 40 59.12 23.4w 20VQ40 T14 C~93U2 2020 11 10.435899 03 28 56.717 +03 40 58.42 23.4w 20VQ40 T14 C~93U2 2020 12 23.254395 03 25 15.302 +03 29 34.37 23.8w 20VQ40 T14 C~93U2 2020 12 23.280364 03 25 15.191 +03 29 34.34 23.7w 20VQ40 T14 C~93U2 2020 12 23.306692 03 25 15.078 +03 29 34.28 23.7w 20VQ40 T14 C~93U2 2021 01 17.256141 03 23 59.195 +03 31 42.08 23.3w 20VQ40 T14 C~93U2 2021 01 17.372290 03 23 58.972 +03 31 43.60 23.6w 20VQ40 T14 C~93U2 2021 01 18.256090 03 23 57.432 +03 31 55.42 23.9w 20VQ40 T14 C~93U2 2021 01 18.281986 03 23 57.388 +03 31 55.71 23.8w 20VQ40 T14 C~93U2 2021 01 18.307600 03 23 57.343 +03 31 56.08 23.7w 20VQ40 T14 C~93U2 2021 01 18.333863 03 23 57.292 +03 31 56.43 23.6w 20VQ40 T14 C~93U2 2021 10 11.510304 03 38 55.319 +03 56 30.03 23.6w 20VQ40 T14 C~93U2 2021 10 11.570693 03 38 55.058 +03 56 27.96 23.7w 20VQ40 T14 C~93U2 2021 10 11.605595 03 38 54.921 +03 56 26.60 23.7w 20VQ40 T14 C~93U2 2021 10 13.603347 03 38 46.532 +03 55 15.96 23.7w 20VQ40 T14 C~93U2 2021 10 13.624993 03 38 46.436 +03 55 15.15 23.6w 20VQ40 T14 C~93U2 2021 11 27.053790 03 34 52.925 +03 33 53.61 23.4r 20VQ40 269 C~93U2 2021 11 27.064170 03 34 52.866 +03 33 53.34 23.8g 20VQ40 269 C~93U2 2021 11 27.068000 03 34 52.849 +03 33 53.31 23.7g 20VQ40 269 C~93U2 2021 11 27.071520 03 34 52.825 +03 33 53.27 23.2r 20VQ40 269 C~93U2 2021 11 27.083680 03 34 52.760 +03 33 53.00 23.4r 20VQ40 269 C~93U2 2022 08 21.594390 03 47 44.779 +04 24 11.00 23.7w 20VQ40 T14 C~93U2 2022 08 25.540029 03 47 48.846 +04 22 20.63 23.7w 20VQ40 T14 C~93U2 2022 10 29.610201 03 45 04.844 +03 45 28.23 23.6w 20VQ40 T14 C~93U2
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 -0.02 0.00 -0.09
2 0.0000 -0.01 0.08 0.14 0.05
3 0.0000 -0.24 -0.06 0.12 0.03
4 2.7435 23673.56 0.23 -3741.36 -0.17
5 2.7463 23688.63 0.01 -3771.64 -0.03
6 2.7491 23701.78 0.07 -3801.01 0.01
7 2.7520 23713.90 -0.07 -3832.94 0.03
8 2.7548 23723.61 -0.01 -3862.57 0.01
9 2.7574 23731.27 0.00 -3890.77 0.03
10 2.9161 21494.03 -0.02 -5275.03 0.03
11 2.9162 21491.09 0.04 -5275.62 -0.01
12 2.9163 21489.08 0.03 -5275.99 -0.01
13 2.9213 21346.90 -0.03 -5302.35 0.03
14 2.9214 21344.79 -0.13 -5302.75 -0.03
15 2.9215 21341.81 -0.08 -5303.21 0.02
16 2.9242 21263.32 0.02 -5316.88 0.02
17 2.9841 19409.65 -0.04 -5502.28 -0.01
18 2.9842 19407.35 -0.05 -5502.28 0.06
19 2.9843 19405.17 0.03 -5502.39 0.03
20 3.1015 16003.83 0.01 -5242.94 -0.05
21 3.1016 16002.21 0.00 -5242.51 0.00
22 3.1016 16000.56 -0.01 -5242.09 0.02
23 3.1699 14937.15 0.02 -4803.34 -0.07
24 3.1703 14934.34 -0.01 -4800.95 -0.04
25 3.1727 14915.33 -0.01 -4783.15 0.06
26 3.1728 14914.77 0.01 -4782.69 -0.01
27 3.1728 14914.22 0.03 -4782.15 0.01
28 3.1729 14913.58 -0.03 -4781.60 0.03
29 3.9016 28405.50 0.00 -7081.18 -0.04
30 3.9018 28401.10 -0.07 -7082.11 0.06
31 3.9019 28398.71 0.05 -7082.87 -0.10
32 3.9074 28256.06 0.03 -7116.77 -0.04
33 3.9074 28254.43 -0.01 -7117.16 -0.08
34 4.0291 24479.90 -0.01 -7392.27 0.11
35 4.0291 24478.97 -0.04 -7392.29 0.05
36 4.0291 24478.71 0.04 -7392.25 0.07
37 4.0291 24478.35 -0.02 -7392.19 0.11
38 4.0292 24477.32 0.03 -7392.18 0.06
39 4.7616 36689.26 -0.02 -7651.48 -0.02
40 4.7724 36719.57 -0.11 -7776.33 -0.06
41 4.9505 33677.02 0.13 -9259.32 -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.
20VQ40 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.842 39.848 39.835 ecceobj 0.208 0.208 0.208 incobj 20.489 20.489 20.490 qmin 27.615 27.694 27.577 qmax 51.894 51.988 51.859 amean 39.455 39.455 39.454 amin 38.975 38.963 38.980 amax 39.996 40.009 39.998 emean 0.245 0.244 0.246 emin 0.191 0.189 0.191 emax 0.299 0.299 0.299 imean 18.947 18.977 18.916 imin 16.715 16.788 16.649 imax 20.857 20.895 20.867 excite_mean 0.408 0.408 0.408 fracstop 1.000 1.000 1.000 cjmean 2.860 2.860 2.860 libcent 0 180.7 180.1 180.7 libamp 0 93.6 96.2 91.2 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 266.9 267.4 266.6 kozaiamp 53.8 54.1 53.5