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: 21TK192 # Created Sun Nov 24 02:11:09 2024 # Orbit generated from Bernstein formalism # Fitting 55 observations of 55 # Arc: 2.98y # First observation: 2019/08/30 # Last observation: 2022/08/24 Preliminary a, adot, b, bdot, g, gdot: 0.000013 0.024271 0.000001 -0.000278 0.024473 0.000000 # Chi-squared of fit: 9.07 DOF: 104 RMS: 0.07 # Min/Max residuals: -0.20 0.15 # Exact a, adot, b, bdot, g, gdot: 1.612989E-05 2.428308E-02 -9.814567E-09 -2.769034E-04 2.443918E-02 4.442211E-04 # Covariance matrix: 5.6288E-13 8.3512E-14 2.0726E-16 -3.4375E-15 7.8154E-13 3.9902E-12 8.3512E-14 1.0549E-12 5.6487E-15 -1.4258E-14 1.4507E-12 1.5210E-11 2.0726E-16 5.6487E-15 1.5461E-13 -5.9013E-14 7.1134E-15 8.0807E-14 -3.4375E-15 -1.4258E-14 -5.9013E-14 2.7378E-14 -2.2309E-14 -2.1809E-13 7.8154E-13 1.4507E-12 7.1134E-15 -2.2309E-14 2.9149E-12 2.4281E-11 3.9902E-12 1.5210E-11 8.0807E-14 -2.1809E-13 2.4281E-11 2.3421E-10 # lat0 lon0 xBary yBary zBary JD0 -1.597031 -8.225198 0.262446 -0.027012 -0.969074 2458725.713221 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 15.81322 +/- 0.654 Argument of Peri: 229.40491 +/- 0.732 Long of Asc Node: 104.45292 +/- 0.012 Inclination: 1.69512 +/- 0.000 Eccentricity: 0.05182829 +/- 0.0001 Semi-Major Axis: 44.08008021 +/- 0.0090 Time of Perihelion: 2454025.0208 +/- 194.2 Perihelion: 41.79548509 +/- 0.0103 Aphelion: 46.36467532 +/- 0.0111 Period (y) 292.6657 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.40603846 +/- 0.0028 Ecliptic Y -6.25699916 +/- 0.0004 Ecliptic Z -1.14037667 +/- 0.0001 Ecliptic XDOT 0.00044603 +/- 0.0000 Ecliptic YDOT 0.00268597 +/- 0.0000 Ecliptic ZDOT -0.00003262 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.89165213 +/- 0.0028 Geocenter to KBO 40.91789573 +/- 0.0029 # Hcoef: 7.78
The following table shows the complete astrometric record for 21TK192. 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 (21TK192) followed by the observatory code and reference code for the source of the astrometry.
2019 08 30.212420 23 32 18.522 -04 43 47.03 23.3r 21TK192 W84 C~7XPw 2019 08 30.387214 23 32 17.778 -04 43 51.93 23.3r 21TK192 W84 C~7XPw 2019 09 28.012277 23 30 11.928 -04 57 25.46 23.3r 21TK192 W84 C~7XPw 2019 09 28.177548 23 30 11.194 -04 57 29.94 23.3r 21TK192 W84 C~7XPw 2020 10 18.01513 23 33 57.67 -04 33 58.2 24.1V 21TK192 W84 C~7XPw 2020 10 18.01684 23 33 57.67 -04 33 58.3 21TK192 W84 C~7XPw 2020 10 18.01856 23 33 57.66 -04 33 58.4 21TK192 W84 C~7XPw 2020 10 18.04270 23 33 57.56 -04 33 58.9 21TK192 W84 C~7XPw 2020 10 18.04615 23 33 57.55 -04 33 59.0 21TK192 W84 C~7XPw 2020 10 18.07030 23 33 57.47 -04 33 59.5 21TK192 W84 C~7XPw 2020 10 18.07203 23 33 57.46 -04 33 59.6 21TK192 W84 C~7XPw 2020 10 18.07376 23 33 57.45 -04 33 59.6 21TK192 W84 C~7XPw 2020 10 18.09971 23 33 57.36 -04 34 00.2 21TK192 W84 C~7XPw 2020 10 18.10143 23 33 57.35 -04 34 00.2 21TK192 W84 C~7XPw 2020 10 18.12568 23 33 57.25 -04 34 00.8 21TK192 W84 C~7XPw 2020 10 18.12912 23 33 57.24 -04 34 00.8 21TK192 W84 C~7XPw 2020 10 18.15327 23 33 57.15 -04 34 01.4 21TK192 W84 C~7XPw 2020 10 18.15500 23 33 57.15 -04 34 01.3 21TK192 W84 C~7XPw 2020 10 18.15674 23 33 57.14 -04 34 01.4 21TK192 W84 C~7XPw 2021 09 09.073508 23 41 52.654 -03 44 08.77 23.3r 21TK192 W84 C~7XPw 2021 09 09.192572 23 41 52.111 -03 44 12.18 23.3r 21TK192 W84 C~7XPw 2021 10 06.05050 23 39 54.55 -03 56 48.3 24.0V 21TK192 W84 C~7XPw 2021 10 06.07799 23 39 54.43 -03 56 48.9 24.2V 21TK192 W84 C~7XPw 2021 10 06.13302 23 39 54.20 -03 56 50.5 24.3V 21TK192 W84 C~7XPw 2021 10 06.16065 23 39 54.09 -03 56 51.1 23.9V 21TK192 W84 C~7XPw 2022 08 24.22619 23 48 08.58 -03 04 12.5 24.4V 21TK192 W84 C~7XPw 2022 08 24.23478 23 48 08.55 -03 04 12.7 24.2V 21TK192 W84 C~7XPw 2022 08 24.23651 23 48 08.54 -03 04 12.9 24.0V 21TK192 W84 C~7XPw 2022 08 24.24166 23 48 08.52 -03 04 12.8 24.1V 21TK192 W84 C~7XPw 2022 08 24.25026 23 48 08.49 -03 04 13.1 24.2V 21TK192 W84 C~7XPw 2022 08 24.25197 23 48 08.48 -03 04 13.2 24.1V 21TK192 W84 C~7XPw 2022 08 24.25716 23 48 08.46 -03 04 13.3 24.0V 21TK192 W84 C~7XPw 2022 08 24.25888 23 48 08.45 -03 04 13.3 24.1V 21TK192 W84 C~7XPw 2022 08 24.26576 23 48 08.42 -03 04 13.5 24.1V 21TK192 W84 C~7XPw 2022 08 24.26756 23 48 08.42 -03 04 13.5 24.1V 21TK192 W84 C~7XPw 2022 08 24.27616 23 48 08.38 -03 04 13.8 24.1V 21TK192 W84 C~7XPw 2022 08 24.28133 23 48 08.36 -03 04 13.8 24.1V 21TK192 W84 C~7XPw 2022 08 24.28478 23 48 08.35 -03 04 14.1 24.1V 21TK192 W84 C~7XPw 2022 08 24.29168 23 48 08.32 -03 04 14.3 24.0V 21TK192 W84 C~7XPw 2022 08 24.29861 23 48 08.29 -03 04 14.3 24.5V 21TK192 W84 C~7XPw 2022 08 24.30727 23 48 08.25 -03 04 14.7 24.3V 21TK192 W84 C~7XPw 2022 08 24.30900 23 48 08.25 -03 04 14.7 24.0V 21TK192 W84 C~7XPw 2022 08 24.31417 23 48 08.23 -03 04 14.8 24.4V 21TK192 W84 C~7XPw 2022 08 24.32278 23 48 08.19 -03 04 15.0 24.3V 21TK192 W84 C~7XPw 2022 08 24.32448 23 48 08.20 -03 04 15.2 24.2V 21TK192 W84 C~7XPw 2022 08 24.32964 23 48 08.18 -03 04 15.2 24.0V 21TK192 W84 C~7XPw 2022 08 24.33136 23 48 08.16 -03 04 15.3 24.4V 21TK192 W84 C~7XPw 2022 08 24.33823 23 48 08.12 -03 04 15.4 24.2V 21TK192 W84 C~7XPw 2022 08 24.33996 23 48 08.13 -03 04 15.5 23.9V 21TK192 W84 C~7XPw 2022 08 24.34852 23 48 08.09 -03 04 15.7 24.3V 21TK192 W84 C~7XPw 2022 08 24.35370 23 48 08.08 -03 04 15.8 24.0V 21TK192 W84 C~7XPw 2022 08 24.35714 23 48 08.07 -03 04 16.0 24.5V 21TK192 W84 C~7XPw 2022 08 24.36402 23 48 08.03 -03 04 16.2 24.3V 21TK192 W84 C~7XPw 2022 08 24.37953 23 48 07.98 -03 04 16.5 24.2V 21TK192 W84 C~7XPw 2022 08 24.38643 23 48 07.95 -03 04 16.8 24.4V 21TK192 W84 C~7XPw
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 -0.09 0.00 -0.03
2 0.0005 -12.15 0.06 -0.11 -0.09
3 0.0788 -2061.61 0.04 -5.21 -0.10
4 0.0793 -2073.46 -0.05 -5.00 -0.02
5 1.1357 1594.39 0.07 -45.10 0.10
6 1.1357 1594.35 0.14 -45.19 0.01
7 1.1357 1594.18 0.06 -45.22 -0.03
8 1.1357 1592.60 -0.07 -45.09 0.07
9 1.1358 1592.43 -0.04 -45.12 0.03
10 1.1358 1591.13 0.10 -45.11 0.00
11 1.1358 1590.95 0.03 -45.14 -0.03
12 1.1358 1590.82 -0.01 -45.08 0.02
13 1.1359 1589.34 0.07 -45.10 -0.04
14 1.1359 1589.21 0.03 -45.04 0.02
15 1.1360 1587.60 -0.13 -45.00 0.02
16 1.1360 1587.46 -0.06 -44.94 0.07
17 1.1360 1585.98 -0.10 -44.96 0.01
18 1.1361 1586.02 0.04 -44.87 0.10
19 1.1361 1585.85 -0.03 -44.90 0.06
20 2.0284 9309.52 0.11 -120.42 -0.13
21 2.0287 9300.69 -0.05 -120.32 -0.03
22 2.1022 7382.51 -0.07 -114.52 0.00
23 2.1023 7380.62 -0.06 -114.36 0.13
24 2.1025 7376.82 -0.07 -114.46 -0.03
25 2.1025 7375.07 0.08 -114.35 0.04
26 2.9843 15449.58 -0.02 -166.83 -0.02
27 2.9843 15449.08 0.04 -166.83 -0.02
28 2.9843 15448.86 -0.06 -166.95 -0.14
29 2.9843 15448.63 0.04 -166.74 0.08
30 2.9844 15448.09 0.07 -166.84 -0.01
31 2.9844 15447.91 0.00 -166.87 -0.05
32 2.9844 15447.60 0.03 -166.84 -0.01
33 2.9844 15447.46 0.00 -166.78 0.05
34 2.9844 15446.97 -0.04 -166.78 0.05
35 2.9844 15446.97 0.08 -166.78 0.05
36 2.9844 15446.29 -0.03 -166.82 0.02
37 2.9844 15446.02 0.03 -166.70 0.14
38 2.9845 15445.76 -0.00 -166.92 -0.08
39 2.9845 15445.26 -0.05 -166.92 -0.08
40 2.9845 15444.85 -0.01 -166.74 0.11
41 2.9845 15444.14 -0.15 -166.87 -0.02
42 2.9845 15444.14 -0.04 -166.87 -0.01
43 2.9845 15443.82 -0.02 -166.84 0.02
44 2.9846 15443.19 -0.08 -166.78 0.08
45 2.9846 15443.25 0.09 -167.03 -0.17
46 2.9846 15442.97 0.15 -166.91 -0.04
47 2.9846 15442.65 -0.06 -166.88 -0.01
48 2.9846 15442.06 -0.20 -166.73 0.14
49 2.9846 15442.16 0.01 -166.88 -0.01
50 2.9846 15441.53 -0.06 -166.83 0.05
51 2.9846 15441.35 0.10 -166.86 0.02
52 2.9847 15441.13 0.11 -166.98 -0.10
53 2.9847 15440.50 -0.08 -166.93 -0.04
54 2.9847 15439.69 0.13 -166.90 -0.01
55 2.9847 15439.15 0.04 -167.00 -0.10
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.
21TK192 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.128 44.151 44.106 ecceobj 0.053 0.053 0.053 incobj 1.696 1.696 1.696 qmin 40.998 41.011 40.992 qmax 47.219 47.224 47.227 amean 44.006 44.030 43.984 amin 43.666 43.684 43.643 amax 44.368 44.386 44.349 emean 0.049 0.049 0.049 emin 0.032 0.033 0.032 emax 0.064 0.064 0.065 imean 0.770 0.762 0.778 imin 0.000 0.000 0.000 imax 1.307 1.297 1.320 excite_mean 0.051 0.051 0.051 fracstop 1.000 1.000 1.000 cjmean 3.098 3.099 3.098 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 178.2 176.8 177.2 kozaiamp 180.0 179.9 180.0