Orbit Fit and Astrometric record for 07TC434

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: 07TC434   
# Created Sun Apr 21 01:13:04 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     58 observations of     58
# Arc:  12.94y
# First observation: 2004/09/22
#  Last observation: 2017/08/31
# Chi-squared of fit:    54.21 DOF:    110 RMS:  0.17
# Min/Max residuals:    -0.81    0.58
# Exact a, adot, b, bdot, g, gdot:
  1.999625E-05  3.022910E-02  1.084622E-05  1.487042E-02  2.589897E-02 -9.835106E-07
# Covariance matrix:
  1.5954E-13 -2.6479E-14  4.8267E-15 -5.7474E-15  1.6678E-14 -3.4626E-14
 -2.6479E-14  1.8634E-14 -7.6226E-15  8.4725E-15  9.9009E-15  5.0136E-14
  4.8267E-15 -7.6226E-15  1.4670E-13 -1.8341E-14 -6.3168E-15 -2.2776E-14
 -5.7474E-15  8.4725E-15 -1.8341E-14  6.0662E-15  5.8565E-15  2.5263E-14
  1.6678E-14  9.9009E-15 -6.3168E-15  5.8565E-15  7.8074E-14  3.2779E-14
 -3.4626E-14  5.0136E-14 -2.2776E-14  2.5263E-14  3.2779E-14  1.4941E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -4.153588    8.307216    0.154217   -0.072063   -0.993317  2453270.798178
# Heliocentric elements and errors
Epoch:              2453270.5000  =  2004/09/22
Mean Anomaly:          359.93698 +/-     0.000
Argument of Peri:      351.37623 +/-     0.002
Long of Asc Node:       16.24407 +/-     0.000
Inclination:            26.51402 +/-     0.000
Eccentricity:         0.69152732 +/-    0.0001
Semi-Major Axis:    128.37668553 +/-    0.0231
Time of Perihelion: 2453363.4994 +/-     143.2
Perihelion:          39.60070002 +/-    0.0098
Aphelion:           217.15267104 +/-    0.0396
Period (y)             1454.5794 +/-      0.39
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           39.10959101 +/-    0.0004
Ecliptic Y            5.55706397 +/-    0.0001
Ecliptic Z           -2.79620794 +/-    0.0000
Ecliptic XDOT        -0.00035077 +/-    0.0000
Ecliptic YDOT         0.00317143 +/-    0.0000
Ecliptic ZDOT         0.00156797 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.60126338 +/-    0.0004
Geocenter to KBO     38.61160853 +/-    0.0004
# Hcoef:  7.12

The following table shows the complete astrometric record for 07TC434. 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 (07TC434) followed by the observatory code and reference code for the source of the astrometry.

2004 09  22.297435 00 37 03.98   -00 31 23.9   22.8V 07TC434   645  C~2YiO      
2004 09  22.298264 00 37 03.98   -00 31 23.9   22.4V 07TC434   645  C~2YiO      
2004 09  22.300752 00 37 03.97   -00 31 23.9   23.3V 07TC434   645  C~2YiO      
2004 09  24.347495 00 36 54.29   -00 32 08.8   23.1V 07TC434   645  C~2YiO      
2004 09  24.348325 00 36 54.29   -00 32 08.8   22.5V 07TC434   645  C~2YiO      
2004 09  24.350812 00 36 54.28   -00 32 08.9   23.6V 07TC434   645  C~2YiO      
2004 12  13.132937 00 32 11.27   -00 45 37.2   22.7V 07TC434   645  C~2YiO      
2004 12  13.133767 00 32 11.27   -00 45 37.2   22.4V 07TC434   645  C~2YiO      
2004 12  13.136254 00 32 11.27   -00 45 37.2   23.4V 07TC434   645  C~2YiO      
2007 10  15.05513  00 50 21.75   +03 43 53.3   22.9R 07TC434   304  Cz4329      
2007 10  15.11921  00 50 21.43   +03 43 52.1         07TC434   304  Cz4329      
2007 10  15.20686  00 50 21.00   +03 43 50.1         07TC434   304  Cz4329      
2007 10  16.06842  00 50 16.86   +03 43 32.7         07TC434   304  Cz4329      
2007 10  16.14182  00 50 16.56   +03 43 30.7         07TC434   304  Cz4329      
2007 10  16.18978  00 50 16.32   +03 43 29.8         07TC434   304  Cz4329      
2013 08  08.55954  01 24 47.702  +12 29 36.28  23.4r 07TC434   568  C~2YiO      
2013 08  08.60322  01 24 47.616  +12 29 36.38  23.4r 07TC434   568  C~2YiO      
2013 08  08.60827  01 24 47.615  +12 29 36.46  23.2r 07TC434   568  C~2YiO      
2013 08  09.48745  01 24 46.369  +12 29 40.98  22.6r 07TC434   568  C~2YiO      
2013 08  09.57743  01 24 46.222  +12 29 41.56  23.1r 07TC434   568  C~2YiO      
2013 09  01.52958  01 23 50.354  +12 29 17.71  23.3r 07TC434   568  C~2YiO      
2013 09  01.56842  01 23 50.241  +12 29 17.00  22.9r 07TC434   568  C~2YiO      
2013 09  02.51684  01 23 47.065  +12 29 10.87  23.3r 07TC434   568  C~2YiO      
2013 09  02.56640  01 23 46.888  +12 29 10.56  23.3r 07TC434   568  C~2YiO      
2013 10  09.40471  01 21 08.632  +12 20 28.81  23.2r 07TC434   568  C~2YiO      
2013 10  30.38058  01 19 27.082  +12 13 22.56  23.2r 07TC434   568  C~2YiO      
2013 10  31.37152  01 19 22.460  +12 13 02.35  23.3r 07TC434   568  C~2YiO      
2013 10  31.37622  01 19 22.439  +12 13 02.21  23.3r 07TC434   568  C~2YiO      
2013 11  01.31737  01 19 18.073  +12 12 42.87  23.2r 07TC434   568  C~2YiO      
2013 11  01.35659  01 19 17.892  +12 12 42.28  23.3r 07TC434   568  C~2YiO      
2013 11  01.44974  01 19 17.449  +12 12 40.25  23.3r 07TC434   568  C~2YiO      
2013 11  27.37157  01 17 33.112  +12 04 48.10  23.2r 07TC434   568  C~2YiO      
2013 12  04.35483  01 17 12.182  +12 03 12.97  22.8r 07TC434   568  C~2YiO      
2014 07  25.52072  01 29 58.402  +13 48 16.10  23.4r 07TC434   568  C~2YiO      
2014 07  25.56220  01 29 58.392  +13 48 16.77  23.3r 07TC434   568  C~2YiO      
2014 07  25.60390  01 29 58.396  +13 48 17.41  23.3r 07TC434   568  C~2YiO      
2014 08  23.56029  01 29 20.931  +13 51 48.71  23.4r 07TC434   568  C~2YiO      
2014 08  23.60725  01 29 20.814  +13 51 48.70  23.2r 07TC434   568  C~2YiO      
2014 08  27.45264  01 29 10.487  +13 51 43.20  23.2r 07TC434   568  C~2YiO      
2014 08  27.54907  01 29 10.207  +13 51 42.87  23.3r 07TC434   568  C~2YiO      
2014 09  18.38325  01 27 52.163  +13 48 57.42  23.1r 07TC434   568  C~2YiO      
2014 09  18.38833  01 27 52.140  +13 48 57.27  23.2r 07TC434   568  C~2YiO      
2014 09  18.42795  01 27 51.971  +13 48 56.79  23.1r 07TC434   568  C~2YiO      
2014 09  23.46889  01 27 30.148  +13 47 49.99  23.2r 07TC434   568  C~2YiO      
2014 10  22.42878  01 25 11.644  +13 39 09.42  23.2r 07TC434   568  C~2YiO      
2014 10  22.46820  01 25 11.451  +13 39 08.62  23.3r 07TC434   568  C~2YiO      
2014 10  22.50765  01 25 11.257  +13 39 07.80  23.2r 07TC434   568  C~2YiO      
2014 10  23.42588  01 25 06.777  +13 38 48.82  23.2r 07TC434   568  C~2YiO      
2014 10  25.43103  01 24 57.030  +13 38 07.61  23.0r 07TC434   568  C~2YiO      
2014 11  19.23833  01 23 06.417  +13 29 50.33  23.2r 07TC434   568  C~2YiO      
2014 11  19.37128  01 23 05.887  +13 29 47.92  23.1r 07TC434   568  C~2YiO      
2014 11  21.21867  01 22 58.799  +13 29 14.42  22.9r 07TC434   568  C~2YiO      
2015 02  19.22673  01 23 07.035  +13 32 51.66  23.2r 07TC434   568  C~2YiO      
2015 02  19.24767  01 23 07.122  +13 32 52.30  23.1r 07TC434   568  C~2YiO      
2017 01  31.21827  01 31 55.740  +16 04 06.84  23.2w 07TC434   568  C~2YiO      
2017 08  25.58266  01 44 28.498  +17 50 03.37  23.5w 07TC434   568  C~2YiO      
2017 08  30.60434  01 44 15.351  +17 50 15.76  23.6w 07TC434   568  C~2YiO      
2017 08  31.56690  01 44 12.610  +17 50 16.61  23.5w 07TC434   568  C~2YiO      

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    -0.15       0.00    -0.46
     2   0.0000      0.00    -0.09       0.00    -0.44
     3   0.0000      0.00    -0.06       0.00    -0.39
     4   0.0056      0.00     0.00       0.00    -0.07
     5   0.0056      0.00     0.06       0.00    -0.05
     6   0.0056      0.00     0.09       0.00    -0.10
     7   0.2241      0.00     0.31       0.00     0.11
     8   0.2241      0.00     0.32       0.00     0.10
     9   0.2241      0.00     0.36       0.00     0.08
    10   3.0603      0.00     0.04       0.00     0.42
    11   3.0604      0.00    -0.10       0.00     0.54
    12   3.0607      0.00    -0.16       0.00     0.34
    13   3.0630      0.00    -0.81       0.00     0.58
    14   3.0632      0.00     0.01       0.00     0.07
    15   3.0634      0.00    -0.10       0.00     0.15
    16   8.8768      0.00     0.13       0.00     0.03
    17   8.8769      0.00    -0.18       0.00    -0.12
    18   8.8770      0.00    -0.08       0.00    -0.06
    19   8.8794      0.00     0.16       0.00    -0.12
    20   8.8796      0.00     0.07       0.00     0.00
    21   8.9425      0.00     0.03       0.00    -0.06
    22   8.9426      0.00     0.31       0.00    -0.51
    23   8.9452      0.00     0.10       0.00    -0.04
    24   8.9453      0.00     0.02       0.00     0.01
    25   9.0462      0.00    -0.01       0.00    -0.08
    26   9.1036      0.00    -0.11       0.00    -0.10
    27   9.1063      0.00    -0.03       0.00     0.03
    28   9.1063      0.00    -0.01       0.00    -0.01
    29   9.1089      0.00    -0.04       0.00    -0.09
    30   9.1090      0.00     0.02       0.00     0.12
    31   9.1092      0.00    -0.04       0.00    -0.01
    32   9.1802      0.00     0.02       0.00    -0.02
    33   9.1993      0.00    -0.05       0.00    -0.10
    34   9.8377      0.00     0.06       0.00    -0.06
    35   9.8378      0.00    -0.05       0.00    -0.02
    36   9.8379      0.00     0.05       0.00    -0.02
    37   9.9172      0.00     0.01       0.00     0.02
    38   9.9173      0.00     0.10       0.00     0.04
    39   9.9279      0.00     0.03       0.00     0.06
    40   9.9281      0.00     0.05       0.00    -0.04
    41   9.9879      0.00     0.03       0.00     0.12
    42   9.9879      0.00     0.02       0.00     0.03
    43   9.9880      0.00     0.03       0.00     0.03
    44  10.0018      0.00     0.01       0.00     0.01
    45  10.0811      0.00    -0.01       0.00     0.02
    46  10.0812      0.00     0.03       0.00     0.04
    47  10.0813      0.00     0.06       0.00     0.03
    48  10.0839      0.00    -0.04       0.00    -0.12
    49  10.0893      0.00    -0.07       0.00    -0.02
    50  10.1573      0.00     0.02       0.00    -0.04
    51  10.1576      0.00     0.02       0.00    -0.02
    52  10.1627      0.00    -0.05       0.00    -0.06
    53  10.4091      0.00    -0.11       0.00    -0.08
    54  10.4092      0.00    -0.09       0.00     0.01
    55  12.3584      0.00    -0.07       0.00    -0.00
    56  12.9234      0.00     0.04       0.00     0.11
    57  12.9372      0.00     0.03       0.00     0.12
    58  12.9398      0.00     0.02       0.00     0.11

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.

07TC434    quality flag:3

Type:     9:1EEEEEEE9:1EEEEEEE9:1EEEEEEE

axisobj       133.935   133.934   133.935
ecceobj         0.704     0.704     0.704
incobj         26.410    26.410    26.410
qmin           37.604    37.606    37.607
qmax          230.845   231.018   230.850
amean         130.278   130.278   130.278
amin          127.576   127.564   127.563
amax          134.818   134.864   134.921
emean           0.700     0.700     0.700
emin            0.688     0.688     0.688
emax            0.712     0.713     0.713
imean          25.911    25.911    25.912
imin           25.055    25.054    25.049
imax           26.884    26.884    26.884
excite_mean     0.825     0.825     0.825
fracstop        1.000     1.000     1.000
cjmean          2.904     2.904     2.904

libcent 0        78.9      78.7      77.9
libamp  0        48.0      48.1      46.0
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       255.3     255.6     260.5
kozaiamp        180.0     180.0     180.0