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: 20VS40 # Created Sun Oct 19 01:12:11 2025 # Orbit generated from Bernstein formalism # Fitting 37 observations of 37 # Arc: 2.21y # First observation: 2020/08/14 # Last observation: 2022/11/01 Preliminary a, adot, b, bdot, g, gdot: -0.000357 0.050472 -0.000056 -0.009359 0.037065 0.000000 # Chi-squared of fit: 7.97 DOF: 68 RMS: 0.08 # Min/Max residuals: -0.24 0.18 # Exact a, adot, b, bdot, g, gdot: 2.069326E-05 4.893761E-02 -4.572979E-06 -9.061569E-03 3.643565E-02 -4.131696E-03 # Covariance matrix: 1.5720E-13 -1.7093E-13 4.2997E-15 2.7098E-14 5.0886E-14 -1.0603E-12 -1.7093E-13 1.7708E-12 1.6044E-13 -4.6634E-13 4.7399E-13 1.7902E-11 4.2997E-15 1.6044E-13 8.4755E-14 -9.5272E-14 6.1569E-14 1.7492E-12 2.7098E-14 -4.6634E-13 -9.5272E-14 2.1572E-13 -1.3793E-13 -4.9736E-12 5.0886E-14 4.7399E-13 6.1569E-14 -1.3793E-13 2.2145E-13 5.2740E-12 -1.0603E-12 1.7902E-11 1.7492E-12 -4.9736E-12 5.2740E-12 1.9087E-10 # lat0 lon0 xBary yBary zBary JD0 -16.006258 51.778456 1.004331 -0.001480 -0.004761 2459076.088598 # Heliocentric elements and errors Epoch: 2459070.5000 = 2020/08/09 Mean Anomaly: 346.26766 +/- 0.028 Argument of Peri: 263.91600 +/- 0.060 Long of Asc Node: 175.06424 +/- 0.001 Inclination: 19.39160 +/- 0.000 Eccentricity: 0.32390520 +/- 0.0001 Semi-Major Axis: 39.47659157 +/- 0.0031 Time of Perihelion: 2462526.3118 +/- 7.0 Perihelion: 26.68991843 +/- 0.0053 Aphelion: 52.26326471 +/- 0.0064 Period (y) 248.0377 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 17.11969368 +/- 0.0002 Ecliptic Y 20.10217910 +/- 0.0003 Ecliptic Z -7.56801231 +/- 0.0001 Ecliptic XDOT -0.00318205 +/- 0.0000 Ecliptic YDOT 0.00189769 +/- 0.0000 Ecliptic ZDOT -0.00056912 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 27.46736839 +/- 0.0002 Geocenter to KBO 27.44564455 +/- 0.0004 # Hcoef: 9.63
The following table shows the complete astrometric record for 20VS40. 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 (20VS40) followed by the observatory code and reference code for the source of the astrometry.
2020 08 14.587797 03 33 50.348 +02 43 00.51 24.4w 20VS40 T14 C~93U3 2020 08 15.545593 03 33 52.513 +02 42 28.67 24.8w 20VS40 T14 C~93U3 2020 08 16.537673 03 33 54.649 +02 41 55.65 24.6w 20VS40 T14 C~93U3 2020 08 18.620346 03 33 58.635 +02 40 44.00 24.0w 20VS40 T14 C~93U3 2020 08 19.576036 03 34 00.279 +02 40 10.28 24.4w 20VS40 T14 C~93U3 2020 10 16.510318 03 31 52.736 +01 57 43.46 24.0w 20VS40 T14 C~93U3 2020 10 16.548587 03 31 52.519 +01 57 41.55 24.2w 20VS40 T14 C~93U3 2020 10 17.360904 03 31 48.041 +01 57 05.37 23.8w 20VS40 T14 C~93U3 2020 10 18.421362 03 31 42.095 +01 56 18.29 24.9w 20VS40 T14 C~93U3 2020 10 19.488672 03 31 35.998 +01 55 31.37 24.1w 20VS40 T14 C~93U3 2020 10 19.535141 03 31 35.722 +01 55 29.37 23.7w 20VS40 T14 C~93U3 2020 11 08.308243 03 29 30.752 +01 42 24.33 24.8w 20VS40 T14 C~93U3 2020 11 09.420478 03 29 23.249 +01 41 46.29 23.8w 20VS40 T14 C~93U3 2020 11 09.445857 03 29 23.072 +01 41 45.48 24.0w 20VS40 T14 C~93U3 2020 11 09.471400 03 29 22.894 +01 41 44.56 23.7w 20VS40 T14 C~93U3 2020 11 10.333454 03 29 17.080 +01 41 15.50 24.4w 20VS40 T14 C~93U3 2020 11 10.359430 03 29 16.885 +01 41 14.52 24.6w 20VS40 T14 C~93U3 2020 12 22.231550 03 24 52.653 +01 29 03.13 25.0w 20VS40 T14 C~93U3 2020 12 23.245793 03 24 47.589 +01 29 04.22 20VS40 T14 C~93U3 2020 12 23.271725 03 24 47.451 +01 29 04.19 20VS40 T14 C~93U3 2020 12 23.298254 03 24 47.329 +01 29 04.26 23.7w 20VS40 T14 C~93U3 2021 01 17.273509 03 23 19.403 +01 34 08.83 23.9w 20VS40 T14 C~93U3 2021 01 17.308288 03 23 19.324 +01 34 09.58 24.1w 20VS40 T14 C~93U3 2021 01 17.363805 03 23 19.228 +01 34 10.97 24.2w 20VS40 T14 C~93U3 2021 01 17.389417 03 23 19.165 +01 34 11.55 24.2w 20VS40 T14 C~93U3 2021 01 18.246290 03 23 17.588 +01 34 31.38 24.4w 20VS40 T14 C~93U3 2021 01 18.272997 03 23 17.542 +01 34 31.98 24.5w 20VS40 T14 C~93U3 2021 01 18.298896 03 23 17.482 +01 34 32.48 24.4w 20VS40 T14 C~93U3 2021 01 18.324988 03 23 17.434 +01 34 33.21 24.4w 20VS40 T14 C~93U3 2021 09 07.567041 03 45 42.918 +02 39 04.24 24.5w 20VS40 T14 C~93U3 2021 09 12.486055 03 45 38.387 +02 35 28.27 24.0w 20VS40 T14 C~93U3 2021 10 11.536246 03 44 07.571 +02 13 06.71 25.1w 20VS40 T14 C~93U3 2022 08 21.601552 03 57 07.943 +03 01 28.96 24.8w 20VS40 T14 C~93U3 2022 08 25.547210 03 57 15.877 +02 59 03.97 24.1w 20VS40 T14 C~93U3 2022 08 25.565340 03 57 15.900 +02 59 03.22 23.9w 20VS40 T14 C~93U3 2022 10 29.617381 03 54 26.047 +02 11 30.90 24.0w 20VS40 T14 C~93U3 2022 11 01.570309 03 54 07.665 +02 09 35.28 24.6w 20VS40 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 0.11 0.00 0.13
2 0.0026 23.59 -0.17 -38.85 -0.09
3 0.0053 46.48 0.11 -78.74 0.05
4 0.0110 86.71 -0.05 -162.89 -0.02
5 0.0137 102.27 -0.01 -201.64 -0.13
6 0.1723 -2378.39 0.05 -2198.73 0.15
7 0.1724 -2382.02 -0.02 -2199.78 -0.03
8 0.1746 -2456.01 -0.02 -2218.29 0.02
9 0.1775 -2554.04 0.17 -2241.93 -0.10
10 0.1804 -2654.21 0.07 -2264.86 -0.03
11 0.1806 -2658.72 0.03 -2265.77 0.02
12 0.2347 -4668.98 -0.20 -2564.15 -0.09
13 0.2377 -4787.45 0.03 -2573.23 -0.01
14 0.2378 -4790.23 0.01 -2573.36 0.05
15 0.2379 -4793.04 -0.03 -2573.60 0.01
16 0.2402 -4884.75 0.02 -2580.23 -0.01
17 0.2403 -4887.83 -0.24 -2580.46 -0.06
18 0.3549 -8912.41 -0.06 -2309.30 -0.17
19 0.3577 -8985.84 -0.01 -2289.42 0.06
20 0.3578 -8987.86 -0.12 -2288.94 0.02
21 0.3579 -8989.62 0.07 -2288.42 0.01
22 0.4262 -10193.89 0.01 -1666.04 -0.07
23 0.4263 -10194.86 -0.10 -1665.02 -0.08
24 0.4265 -10195.91 0.18 -1663.31 -0.01
25 0.4266 -10196.68 0.01 -1662.51 0.03
26 0.4289 -10214.71 0.06 -1637.41 0.11
27 0.4290 -10215.23 0.13 -1636.66 0.07
28 0.4291 -10215.98 -0.04 -1635.95 0.00
29 0.4291 -10216.50 0.01 -1635.06 0.11
30 1.0650 10302.15 0.05 -2849.58 0.07
31 1.0784 10183.37 -0.02 -3042.69 0.04
32 1.1580 8532.57 -0.02 -4011.75 0.02
33 2.0178 20646.53 -0.05 -4046.87 0.08
34 2.0286 20727.85 0.10 -4217.27 -0.04
35 2.0287 20728.01 -0.01 -4218.08 -0.08
36 2.2068 17542.33 -0.07 -6376.43 -0.02
37 2.2149 17244.79 0.02 -6421.54 -0.02
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.
20VS40 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.944 39.971 39.916 ecceobj 0.330 0.330 0.330 incobj 19.357 19.357 19.356 qmin 26.318 26.237 26.299 qmax 53.409 53.413 53.120 amean 39.454 39.454 39.454 amin 38.974 38.958 39.029 amax 40.045 40.056 39.996 emean 0.303 0.315 0.257 emin 0.275 0.290 0.169 emax 0.334 0.334 0.333 imean 19.996 19.452 21.806 imin 18.708 18.681 18.703 imax 20.931 20.314 24.514 excite_mean 0.457 0.458 0.455 fracstop 1.000 1.000 1.000 cjmean 2.813 2.812 2.814 libcent 0 179.9 179.6 179.0 libamp 0 93.8 98.1 88.1 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 180.9 192.5 285.9 kozaiamp 180.0 180.0 76.7