Orbit Fit and Astrometric record for 21TK192

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 Wed Dec 25 02:11:15 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