Orbit Fit and Astrometric record for 13TK227

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: 13TK227   
# Created Fri Dec  3 02:12:06 2021
# Orbit generated from Bernstein formalism
# Fitting     21 observations of     22
# Arc:   4.19y
# First observation: 2013/10/02
#  Last observation: 2017/12/11
Preliminary a, adot, b, bdot, g, gdot:
   0.000189   0.036314   0.000075   0.007001   0.033763   0.000000
# Chi-squared of fit:     8.71 DOF:     36 RMS:  0.11
# Min/Max residuals:    -0.31    0.15
# Exact a, adot, b, bdot, g, gdot:
  1.769041E-05  3.656324E-02  2.644563E-06  7.100630E-03  3.343415E-02  3.168629E-03
# Covariance matrix:
  4.4882E-13 -3.4615E-13  3.5622E-14 -5.3319E-14 -8.7206E-14 -1.7652E-12
 -3.4615E-13  4.6537E-13 -6.0435E-14  9.0837E-14  1.8044E-13  3.0165E-12
  3.5622E-14 -6.0435E-14  3.1632E-13 -1.1583E-13 -1.5589E-15 -4.5614E-13
 -5.3319E-14  9.0837E-14 -1.1583E-13  6.4535E-14  1.1496E-14  6.7672E-13
 -8.7206E-14  1.8044E-13 -1.5589E-15  1.1496E-14  7.8684E-13  6.0272E-13
 -1.7652E-12  3.0165E-12 -4.5614E-13  6.7672E-13  6.0272E-13  2.2258E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -15.725247   24.553258    0.270313   -0.261100   -0.927734  2456567.758268
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:          102.55648 +/-     0.081
Argument of Peri:      193.20610 +/-     0.069
Long of Asc Node:       78.13510 +/-     0.001
Inclination:            18.58896 +/-     0.000
Eccentricity:         0.07934183 +/-    0.0001
Semi-Major Axis:     30.14295554 +/-    0.0031
Time of Perihelion: 2439340.3160 +/-      13.3
Perihelion:          27.75135837 +/-    0.0043
Aphelion:            32.53455270 +/-    0.0047
Period (y)              165.4958 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           27.17509079 +/-    0.0007
Ecliptic Y           12.12095566 +/-    0.0003
Ecliptic Z           -8.10617731 +/-    0.0002
Ecliptic XDOT        -0.00087981 +/-    0.0000
Ecliptic YDOT         0.00289127 +/-    0.0000
Ecliptic ZDOT         0.00048951 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.84012380 +/-    0.0006
Geocenter to KBO     29.90954241 +/-    0.0008
# Hcoef:  9.29

The following table shows the complete astrometric record for 13TK227. 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 (13TK227) followed by the observatory code and reference code for the source of the astrometry.

2013 10  02.25749  01 53 52.871  -05 08 16.79  24.6g 13TK227   W84  C~52Rd      
2013 10  04.24360  01 53 41.332  -05 09 31.90  24.3r 13TK227   W84  C~52Rd      
2013 10  04.24497  01 53 41.331  -05 09 31.98  23.7i 13TK227   W84  C~52Rd      
2014 11  03.24676  01 57 51.167  -04 16 26.25  22.9z 13TK227   W84  C~52Rd      
2015 10  10.520950 02 07 29.516  -02 56 40.06  24.1r 13TK227   568  C~2TuW      
2015 10  10.539803 02 07 29.404  -02 56 40.69  24.0r 13TK227   568  C~2TuW      
2015 10  10.577109 02 07 29.176  -02 56 42.00  24.0r 13TK227   568  C~2TuW      
2015 10  10.603035 02 07 29.018  -02 56 42.84  24.1r 13TK227   568  C~2TuW      
2015 10  14.522734 02 07 05.391  -02 58 56.67  24.9g 13TK227   568  C~2TuW      
2015 10  14.541609 02 07 05.273  -02 58 57.33  25.1g 13TK227   568  C~2TuW      
2015 10  14.578933 02 07 05.042  -02 58 58.47  24.9g 13TK227   568  C~2TuW      
2015 10  14.604810 02 07 04.889  -02 58 59.42  25.1g 13TK227   568  C~2TuW      
2016 09  10.40183  02 17 00.461  -01 31 02.07  22.5i 13TK227   W84  C~52Rd      
2016 09  27.58184  02 15 42.94   -01 41 35.9   25.1g 13TK227   568  C~2eAJ      
2016 09  28.47127  02 15 38.31   -01 42 08.6   25.1g 13TK227   568  C~2eAJ      
2016 09  28.59154  02 15 37.66   -01 42 13.0   25.1g 13TK227   568  C~2eAJ      
2016 11  27.11271  02 09 44.164  -02 06 51.37  24.0r 13TK227   W84  C~52Rd      
2016 11  29.17841  02 09 33.517  -02 07 01.64  24.1r 13TK227   W84  C~52Rd      
2017 10  29.26760  02 19 39.879  -00 51 11.73  24.2r 13TK227   W84  C~52Rd      
2017 10  29.26898  02 19 39.863  -00 51 11.57  23.6i 13TK227   W84  C~52Rd      
2017 11  16.15291  02 17 49.173  -00 57 33.54  24.3r 13TK227   W84  C~52Rd      
2017 12  11.04046  02 15 39.121  -01 00 07.84  24.4r 13TK227   W84  C~52Rd      

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    -0.08       0.00     0.15
     2   0.0054   -187.89    -0.02      -7.36    -0.15
     3   0.0054   -187.94     0.07      -7.43    -0.22
     4   1.0869   4450.91     0.10    1600.97    -0.01
     5   2.0213  14282.69     0.05    2890.92    -0.00
     6   2.0213  14280.89     0.09    2890.95     0.01
     7   2.0214  14277.22     0.05    2890.99     0.01
     8   2.0215  14274.70     0.06    2891.07     0.08
     9   2.0322  13894.55    -0.07    2896.36     0.08
    10   2.0323  13892.65    -0.09    2896.39     0.05
    11   2.0324  13889.00    -0.05    2896.60     0.15
    12   2.0324  13886.51     0.01    2896.55     0.03
    13   2.9408  24221.11     0.13    4535.14     0.08
    14   2.9879  22889.31    -0.12    4371.70     0.12
    15   2.9903  22811.76    -0.10    4366.76     0.07
    16   2.9906  22800.95    -0.16    4366.25     0.11
    17   3.1536  17276.57    -0.01    4938.61    -0.31
    18   3.1593  17123.30 (   0.53)   4987.73 (  -0.25)
    19   4.0739  27376.55     0.12    5891.70    -0.23
    20   4.0740  27376.38     0.09    5891.94    -0.01
    21   4.1229  25664.26     0.14    6147.95    -0.10
    22   4.1911  23767.30    -0.21    6723.89     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.

13TK227    quality flag:3

Type:            1:1       1:1       1:1

axisobj        30.272    30.282    30.262
ecceobj         0.081     0.081     0.081
incobj         18.599    18.599    18.599
qmin           26.773    26.739    26.815
qmax           33.611    33.637    33.571
amean          30.110    30.110    30.110
amin           29.742    29.764    29.759
amax           30.486    30.488    30.486
emean           0.082     0.081     0.081
emin            0.062     0.061     0.060
emax            0.105     0.105     0.105
imean          16.772    16.874    16.819
imin           16.346    16.509    16.450
imax           17.410    17.410    17.410
excite_mean     0.300     0.302     0.301
fracstop        1.000     1.000     1.000
cjmean          2.911     2.911     2.911

libcent 0        65.9      65.8      66.5
libamp  0        29.8      29.8      31.2
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       179.8     180.5     180.4
kozaiamp        180.0     180.0     180.0