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: 20VR40 # Created Sun Oct 19 01:12:11 2025 # Orbit generated from Bernstein formalism # Fitting 21 observations of 21 # Arc: 2.21y # First observation: 2020/08/15 # Last observation: 2022/10/31 Preliminary a, adot, b, bdot, g, gdot: -0.000217 0.032252 -0.000053 -0.014825 0.030453 0.000000 # Chi-squared of fit: 1.71 DOF: 36 RMS: 0.05 # Min/Max residuals: -0.10 0.18 # Exact a, adot, b, bdot, g, gdot: 1.634470E-05 3.138818E-02 -7.688885E-06 -1.442917E-02 2.994371E-02 -5.344536E-03 # Covariance matrix: 3.3527E-13 -1.8276E-13 4.0914E-14 1.5425E-14 1.9572E-13 -5.6758E-13 -1.8276E-13 1.7101E-12 2.9092E-13 -1.0078E-12 5.0813E-13 2.7275E-11 4.0914E-14 2.9092E-13 1.8894E-13 -2.8743E-13 1.5769E-13 5.3817E-12 1.5425E-14 -1.0078E-12 -2.8743E-13 8.0628E-13 -3.7728E-13 -1.7822E-11 1.9572E-13 5.0813E-13 1.5769E-13 -3.7728E-13 4.0903E-13 1.0049E-11 -5.6758E-13 2.7275E-11 5.3817E-12 -1.7822E-11 1.0049E-11 4.8154E-10 # lat0 lon0 xBary yBary zBary JD0 -17.239105 51.628242 1.003908 -0.007291 -0.023124 2459077.068335 # Heliocentric elements and errors Epoch: 2459070.5000 = 2020/08/09 Mean Anomaly: 320.62437 +/- 0.046 Argument of Peri: 276.36006 +/- 0.105 Long of Asc Node: 197.79245 +/- 0.001 Inclination: 30.30816 +/- 0.001 Eccentricity: 0.23145646 +/- 0.0006 Semi-Major Axis: 39.35858249 +/- 0.0094 Time of Perihelion: 2468935.1702 +/- 10.9 Perihelion: 30.24878412 +/- 0.0238 Aphelion: 48.46838086 +/- 0.0254 Period (y) 246.9263 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 20.60692514 +/- 0.0004 Ecliptic Y 24.39562119 +/- 0.0005 Ecliptic Z -9.89744751 +/- 0.0002 Ecliptic XDOT -0.00277475 +/- 0.0000 Ecliptic YDOT 0.00111361 +/- 0.0000 Ecliptic ZDOT -0.00111544 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.43278577 +/- 0.0005 Geocenter to KBO 33.39599989 +/- 0.0007 # Hcoef: 8.39
The following table shows the complete astrometric record for 20VR40. 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 (20VR40) followed by the observatory code and reference code for the source of the astrometry.
2020 08 15.567534 03 34 29.889 +01 29 11.60 23.9w 20VR40 T14 C~93U2 2020 08 16.583841 03 34 31.420 +01 28 36.35 24.0w 20VR40 T14 C~93U2 2020 10 18.572835 03 32 26.681 +00 44 00.68 23.8w 20VR40 T14 C~93U2 2020 10 18.614348 03 32 26.468 +00 43 58.87 23.8w 20VR40 T14 C~93U2 2020 10 19.468564 03 32 22.291 +00 43 23.04 23.8w 20VR40 T14 C~93U2 2020 11 08.295522 03 30 34.930 +00 30 47.09 23.8w 20VR40 T14 C~93U2 2020 11 09.406307 03 30 28.510 +00 30 09.97 23.7w 20VR40 T14 C~93U2 2020 11 09.433038 03 30 28.360 +00 30 09.09 23.8w 20VR40 T14 C~93U2 2020 11 09.458647 03 30 28.211 +00 30 08.21 24.2w 20VR40 T14 C~93U2 2020 11 10.320844 03 30 23.230 +00 29 40.00 23.8w 20VR40 T14 C~93U2 2020 11 10.346353 03 30 23.082 +00 29 39.15 23.7w 20VR40 T14 C~93U2 2020 12 23.319418 03 26 30.727 +00 16 31.58 23.8w 20VR40 T14 C~93U2 2020 12 23.344742 03 26 30.613 +00 16 31.57 23.9w 20VR40 T14 C~93U2 2020 12 23.370057 03 26 30.503 +00 16 31.46 23.8w 20VR40 T14 C~93U2 2021 01 17.294849 03 25 11.136 +00 19 18.39 24.0w 20VR40 T14 C~93U2 2021 01 17.359532 03 25 11.024 +00 19 19.57 23.8w 20VR40 T14 C~93U2 2021 10 11.557917 03 41 01.311 +00 27 00.66 23.9w 20VR40 T14 C~93U2 2021 10 11.592759 03 41 01.159 +00 26 59.14 23.9w 20VR40 T14 C~93U2 2022 08 21.592212 03 50 24.769 +00 42 33.20 24.1w 20VR40 T14 C~93U3 2022 08 25.537790 03 50 29.479 +00 39 57.67 23.9w 20VR40 T14 C~93U3 2022 10 31.469076 03 47 33.341 -00 09 17.10 23.7w 20VR40 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 0.05 0.00 0.01
2 0.0028 13.54 0.02 -39.83 0.04
3 0.1752 -2460.54 0.01 -2170.45 -0.00
4 0.1754 -2464.08 -0.10 -2171.42 -0.04
5 0.1777 -2533.66 -0.02 -2190.66 -0.01
6 0.2320 -4281.52 -0.01 -2525.26 0.07
7 0.2350 -4384.06 -0.07 -2537.43 0.00
8 0.2351 -4386.46 0.04 -2537.72 -0.02
9 0.2352 -4388.85 0.05 -2538.02 -0.06
10 0.2375 -4468.26 0.00 -2546.90 0.02
11 0.2376 -4470.62 0.02 -2547.17 -0.01
12 0.3552 -8045.98 -0.03 -2448.52 -0.06
13 0.3553 -8047.65 -0.04 -2448.10 0.00
14 0.3554 -8049.27 -0.02 -2447.80 -0.05
15 0.4236 -9163.27 -0.10 -1991.13 -0.02
16 0.4238 -9164.61 0.18 -1989.57 0.09
17 1.1553 4770.18 -0.01 -5065.94 0.01
18 1.1554 4767.59 -0.01 -5066.85 0.04
19 2.0151 13212.18 0.03 -6249.57 0.04
20 2.0259 13242.75 -0.06 -6418.22 -0.03
21 2.2092 9944.49 0.04 -8635.16 -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.
20VR40 quality flag:3 Type: 3:2E 3:2E 3:2E Type: 6:4II 6:4II 6:4II axisobj 39.775 39.785 39.765 ecceobj 0.236 0.236 0.236 incobj 30.221 30.221 30.221 qmin 27.273 27.347 27.260 qmax 52.261 51.823 51.994 amean 39.454 39.454 39.452 amin 39.029 39.025 39.040 amax 39.961 39.972 39.957 emean 0.268 0.267 0.268 emin 0.225 0.225 0.226 emax 0.308 0.305 0.307 imean 29.507 29.520 29.495 imin 28.525 28.550 28.494 imax 30.479 30.480 30.475 excite_mean 0.561 0.561 0.561 fracstop 1.000 1.000 1.000 cjmean 2.683 2.683 2.683 libcent 0 180.2 180.0 180.3 libamp 0 68.6 72.7 64.8 libcent 1 180.8 179.2 180.3 libamp 1 155.2 161.3 148.0 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 268.7 268.6 268.7 kozaiamp 19.4 19.4 19.4