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: 21VK27 # Created Sun Dec 22 02:11:19 2024 # Orbit generated from Bernstein formalism # Fitting 38 observations of 38 # Arc: 3.24y # First observation: 2020/09/09 # Last observation: 2023/12/07 Preliminary a, adot, b, bdot, g, gdot: -0.432925 0.942111 0.137901 -0.277258 0.159392 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING -- MRQMIN stopped after 13 iterations # Chi-squared of fit: 9999.99 DOF: 71 RMS: 99.99 # Min/Max residuals: -9999.99 9999.99 # Exact a, adot, b, bdot, g, gdot: -1.416371E-01 4.162542E-01 4.467152E-02 -1.232779E-01 6.831946E-02 -2.006217E-01 # Covariance matrix: 1.6773E-13 -1.3286E-13 -3.0441E-14 3.6375E-14 3.6709E-14 -3.0519E-14 -1.3286E-13 1.3629E-13 3.2835E-14 -3.7884E-14 -2.7941E-15 2.7713E-14 -3.0441E-14 3.2835E-14 7.3798E-14 -3.8732E-14 -5.8019E-15 8.5175E-15 3.6375E-14 -3.7884E-14 -3.8732E-14 2.9546E-14 1.0580E-14 -1.0530E-14 3.6709E-14 -2.7941E-15 -5.8019E-15 1.0580E-14 1.0632E-13 -1.9868E-14 -3.0519E-14 2.7713E-14 8.5175E-15 -1.0530E-14 -1.9868E-14 9.8969E-15 # lat0 lon0 xBary yBary zBary JD0 -9.061775 18.193393 0.512483 -0.135326 -0.847906 2459102.088340 # Heliocentric elements and errors Epoch: 2459100.5000 = 2020/09/08 Mean Anomaly: 354.52772 +/- 0.046 Argument of Peri: 236.08830 +/- 0.000 Long of Asc Node: 170.34995 +/- 0.000 Inclination: 18.68152 +/- 0.000 Eccentricity: 15.23017654 +/- 0.0002 Semi-Major Axis: -0.89782613 +/- 0.0000 Time of Perihelion: 2460666.0495 +/- 13.2 Perihelion: 12.77622433 +/- 0.0002 Aphelion: -14.57187659 +/- 0.0003 Period (y) 281.9752 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 15.45851743 +/- 0.0001 Ecliptic Y 2.35030214 +/- 0.0000 Ecliptic Z -1.65962269 +/- 0.0000 Ecliptic XDOT -0.01348242 +/- 0.0000 Ecliptic YDOT 0.01313009 +/- 0.0000 Ecliptic ZDOT -0.00361257 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 15.72399532 +/- 0.0001 Geocenter to KBO 14.79766030 +/- 0.0001 # Hcoef: NaN
The following table shows the complete astrometric record for 21VK27. 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 (21VK27) followed by the observatory code and reference code for the source of the astrometry.
2020 09 09.587539 01 20 52.687 -01 15 08.63 22.6G 21VK27 F51 C~5G2P 2020 09 09.596593 01 20 52.600 -01 15 10.52 23.1G 21VK27 F51 C~5G2P 2020 09 09.605637 01 20 52.456 -01 15 11.75 22.7G 21VK27 F51 C~5G2P 2020 09 09.614684 01 20 52.341 -01 15 13.28 22.6G 21VK27 F51 C~5G2P 2020 09 13.507615 01 20 02.245 -01 26 32.67 23.0G 21VK27 F51 C~5G2P 2020 09 13.519548 01 20 02.057 -01 26 34.68 23.1G 21VK27 F51 C~5G2P 2020 09 13.531482 01 20 01.900 -01 26 36.80 22.5G 21VK27 F51 C~5G2P 2021 09 09.589701 02 50 22.285 +01 46 29.21 22.3G 21VK27 F52 C~5G2P 2021 09 09.598104 02 50 22.259 +01 46 27.79 22.5G 21VK27 F52 C~5G2P 2021 09 09.606433 02 50 22.210 +01 46 26.65 22.9G 21VK27 F52 C~5G2P 2021 09 09.614767 02 50 22.186 +01 46 25.00 22.7G 21VK27 F52 C~5G2P 2021 09 28.434656 02 48 07.500 +00 50 55.39 23.4G 21VK27 F52 C~5G2P 2021 09 28.446642 02 48 07.347 +00 50 52.79 22.2G 21VK27 F52 C~5G2P 2021 09 28.458684 02 48 07.198 +00 50 50.59 21.7G 21VK27 F52 C~5G2P 2021 09 28.470780 02 48 07.042 +00 50 48.35 22.8G 21VK27 F52 C~5G2P 2021 10 03.552763 02 47 03.225 +00 35 05.05 22.0G 21VK27 F51 C~5G2Q 2021 10 03.564701 02 47 03.059 +00 35 02.87 21.9G 21VK27 F51 C~5G2Q 2021 10 03.576579 02 47 02.881 +00 35 00.60 22.7G 21VK27 F51 C~5G2Q 2021 10 03.588448 02 47 02.732 +00 34 58.39 22.1G 21VK27 F51 C~5G2Q 2021 10 04.562636 02 46 49.308 +00 31 57.42 22.7G 21VK27 F51 C~5G2Q 2021 10 04.568342 02 46 49.225 +00 31 56.34 22.4G 21VK27 F51 C~5G2Q 2021 10 04.574012 02 46 49.137 +00 31 55.26 22.0G 21VK27 F51 C~5G2Q 2021 10 04.579925 02 46 49.060 +00 31 54.18 22.7G 21VK27 F51 C~5G2Q 2021 11 11.358375 02 35 13.568 -01 09 44.07 22.4w 21VK27 F51 C~5G2Q 2021 11 11.371039 02 35 13.311 -01 09 45.50 22.4w 21VK27 F51 C~5G2Q 2021 11 11.383852 02 35 13.047 -01 09 47.06 22.0w 21VK27 F51 C~5G2Q 2021 11 13.14956 02 34 38.23 -01 13 06.4 22.4G 21VK27 807 C~5G2Q 2021 11 13.16064 02 34 38.02 -01 13 07.5 22.3G 21VK27 807 C~5G2Q 2021 11 13.17171 02 34 37.77 -01 13 08.9 22.1G 21VK27 807 C~5G2Q 2021 11 13.286688 02 34 35.53 -01 13 23.2 21.9G 21VK27 H01 C~5G2Q 2021 11 13.290510 02 34 35.45 -01 13 23.5 22.0G 21VK27 H01 C~5G2Q 2021 11 13.300220 02 34 35.26 -01 13 24.6 22.2G 21VK27 H01 C~5G2Q 2021 11 13.308583 02 34 35.09 -01 13 25.7 22.0G 21VK27 H01 C~5G2Q 2022 09 22.584192 04 34 12.627 +04 19 02.94 22.5w 21VK27 F51 C~5oXz 2022 09 22.595595 04 34 12.690 +04 19 00.96 22.4w 21VK27 F51 C~5oXz 2022 09 22.606889 04 34 12.740 +04 18 59.01 22.4w 21VK27 F51 C~5oXz 2023 12 07.438780 06 18 05.985 +04 07 35.25 21.9G 21VK27 G37 C~7dND 2023 12 07.477760 06 18 05.171 +04 07 33.99 21VK27 G37 C~7dND
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 29233.47 0.00 -9219.68
2 0.0000 -1.92 29231.63 -1.26 -9220.24
3 0.0000 -4.39 29229.24 -1.58 -9219.86
4 0.0001 -6.56 29227.14 -2.34 -9219.93
5 0.0107 -958.85 28309.18 -347.42 -9261.92
6 0.0108 -962.22 28305.99 -348.22 -9261.81
7 0.0108 -965.20 28303.19 -349.29 -9261.98
8 0.9993 83001.60 11584.62 -21541.98 -1136.83
9 0.9993 83000.58 11582.46 -21543.23 -1136.90
10 0.9994 82999.30 11580.05 -21544.05 -1136.56
11 0.9994 82998.22 11577.84 -21545.55 -1136.89
12 1.0509 79419.37 5994.37 -23995.96 -1068.46
13 1.0509 79415.81 5989.95 -23997.55 -1068.58
14 1.0510 79412.49 5985.76 -23998.78 -1068.32
15 1.0510 79409.04 5981.43 -23999.99 -1068.06
16 1.0649 77987.93 4210.51 -24523.10 -973.98
17 1.0650 77984.35 4206.25 -24524.18 -973.68
18 1.0650 77980.54 4201.75 -24525.28 -973.39
19 1.0650 77977.23 4197.75 -24526.51 -973.23
20 1.0677 77686.26 3847.44 -24618.94 -950.86
21 1.0677 77684.48 3845.35 -24619.47 -950.73
22 1.0677 77682.62 3843.17 -24619.97 -950.58
23 1.0677 77680.93 3841.16 -24620.54 -950.47
24 1.1712 64238.79-10895.90 -26124.83 992.70
25 1.1712 64234.25-10900.79 -26124.58 993.74
26 1.1712 64229.55-10905.84 -26124.41 994.71
27 1.1761 63612.55-11580.99 -26095.42 1134.42
28 1.1761 63608.87-11584.99 -26095.15 1135.36
29 1.1761 63604.46-11589.73 -26094.91 1136.27
30 1.1765 63564.20-11633.53 -26094.48 1144.54
31 1.1765 63562.85-11634.99 -26094.26 1144.99
32 1.1765 63559.48-11638.65 -26094.12 1145.72
33 1.1765 63556.42-11641.97 -26094.10 1146.24
34 2.0342 225751.25-28275.76 -61920.42 14076.31
35 2.0342 225752.08-28279.92 -61923.88 14075.97
36 2.0343 225752.50-28284.44 -61927.16 14075.78
37 3.2412 706396.18-31335.81 -223733.65 8861.64
38 3.2413 706233.38-31476.30 -223684.97 8903.99
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.
21VK27 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 12.717 12.718 12.717 ecceobj 0.487 0.487 0.487 incobj 17.122 17.122 17.122 qmin 6.482 6.482 6.482 qmax 18.916 18.916 18.916 amean 12.414 12.414 12.414 amin 12.110 12.110 12.110 amax 12.717 12.717 12.717 emean 0.476 0.476 0.476 emin 0.465 0.465 0.465 emax 0.487 0.487 0.487 imean 16.617 16.617 16.617 imin 16.377 16.377 16.377 imax 16.857 16.857 16.857 excite_mean 0.555 0.555 0.555 fracstop 0.000 0.000 0.000 cjmean 3.509 3.509 3.509 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 270.9 270.9 270.9 kozaiamp 0.7 0.7 0.7