Orbit Fit and Astrometric record for 03TH58

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: 03TH58    
# Created Sat Dec  4 02:09:50 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     40 observations of     40
# Arc:  17.94y
# First observation: 2002/12/31
#  Last observation: 2020/12/09
# Chi-squared of fit:    72.00 DOF:     74 RMS:  0.24
# Min/Max residuals:    -0.68    0.60
# Exact a, adot, b, bdot, g, gdot:
  1.492337E-05  2.769948E-02 -8.019342E-06 -1.466136E-02  2.858314E-02  6.510507E-05
# Covariance matrix:
  1.4272E-13 -2.8221E-14 -2.1981E-14  1.1927E-14 -5.2682E-14 -4.0738E-14
 -2.8221E-14  1.7367E-14  1.5743E-14 -8.3920E-15 -9.8599E-15  2.8446E-14
 -2.1981E-14  1.5743E-14  8.2518E-14 -1.3308E-14 -9.2825E-15  2.7167E-14
  1.1927E-14 -8.3920E-15 -1.3308E-14  5.1542E-15  4.6266E-15 -1.4487E-14
 -5.2682E-14 -9.8599E-15 -9.2825E-15  4.6266E-15  1.0758E-13 -1.5208E-14
 -4.0738E-14  2.8446E-14  2.7167E-14 -1.4487E-14 -1.5208E-14  4.9115E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.195456   68.383482   -0.501495    0.017522   -0.839962  2452639.664070
# Heliocentric elements and errors
Epoch:              2452640.5000  =  2003/01/01
Mean Anomaly:            6.87811 +/-     0.003
Argument of Peri:      169.14860 +/-     0.004
Long of Asc Node:      251.39731 +/-     0.000
Inclination:            27.88211 +/-     0.000
Eccentricity:         0.09529167 +/-    0.0000
Semi-Major Axis:     39.57080771 +/-    0.0022
Time of Perihelion: 2450903.3907 +/-       0.9
Perihelion:          35.80003924 +/-    0.0026
Aphelion:            43.34157618 +/-    0.0029
Period (y)              248.9262 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           12.72709079 +/-    0.0001
Ecliptic Y           33.48883779 +/-    0.0004
Ecliptic Z            0.72963138 +/-    0.0000
Ecliptic XDOT        -0.00246065 +/-    0.0000
Ecliptic YDOT         0.00100643 +/-    0.0000
Ecliptic ZDOT        -0.00140371 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   35.83312587 +/-    0.0004
Geocenter to KBO     34.98570371 +/-    0.0004
# Hcoef:  7.21

The following table shows the complete astrometric record for 03TH58. 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 (03TH58) followed by the observatory code and reference code for the source of the astrometry.

2002 12  31.163327 04 25 44.59   +22 53 01.5   22.6V 03TH58    645  C~1RHR      
2002 12  31.164157 04 25 44.58   +22 53 01.5   22.4V 03TH58    645  C~1RHR      
2002 12  31.166644 04 25 44.57   +22 53 01.4   23.3V 03TH58    645  C~1RHR      
2003 10  03.45706  04 40 42.78   +22 44 53.0   22.8i 03TH58    568  Cq9898      
2003 10  03.50790  04 40 42.66   +22 44 52.4   22.7i 03TH58    568  Cq9898      
2003 10  03.56923  04 40 42.50   +22 44 51.7   22.7i 03TH58    568  Cq9898      
2003 12  16.32472  04 34 30.89   +22 22 52.7   22.5g 03TH58    568  Cq9898      
2003 12  16.35119  04 34 30.73   +22 22 52.0   22.4g 03TH58    568  Cq9898      
2003 12  16.37749  04 34 30.57   +22 22 51.5   22.5g 03TH58    568  Cq9898      
2003 12  17.39650  04 34 24.53   +22 22 30.5         03TH58    568  Cq9898      
2003 12  17.42928  04 34 24.33   +22 22 29.9         03TH58    568  Cq9898      
2004 09  11.48953  04 48 12.81   +22 11 08.8         03TH58    695  Cq9898      
2004 09  12.48215  04 48 13.13   +22 11 00.9         03TH58    695  Cq9898      
2004 09  16.47160  04 48 13.21   +22 10 26.6         03TH58    675  Cq9898      
2004 09  17.46085  04 48 12.92   +22 10 17.6         03TH58    675  Cq9898      
2004 09  18.43761  04 48 12.53   +22 10 08.5         03TH58    675  Cq9898      
2005 11  04.48734  04 53 03.70   +21 20 46.7   22.5R 03TH58    695  Cq9898      
2005 11  04.52093  04 53 03.47   +21 20 46.3   22.5R 03TH58    695  Cq9898      
2005 11  05.51394  04 52 58.52   +21 20 28.8   22.5R 03TH58    695  Cq9898      
2005 12  24.27044  04 48 12.47   +21 05 33.9   23.0g 03TH58    568  C~0DoF      
2005 12  24.36845  04 48 11.90   +21 05 32.2   23.1g 03TH58    568  C~0DoF      
2005 12  24.40264  04 48 11.70   +21 05 31.7   23.1g 03TH58    568  C~0DoF      
2005 12  25.40633  04 48 05.98   +21 05 14.2   23.1g 03TH58    568  C~0DoF      
2006 01  31.240791 04 45 25.08   +20 56 20.7         03TH58    645  C~1RHR      
2006 01  31.241620 04 45 25.07   +20 56 20.7         03TH58    645  C~1RHR      
2006 01  31.244108 04 45 25.07   +20 56 20.7         03TH58    645  C~1RHS      
2008 09  20.45657  05 15 58.01   +19 31 07.8   23.8R 03TH58    250  S~06Ae      
2008 09  20.46282  05 15 58.01   +19 31 07.7         03TH58    250  S~06Ae      
2008 09  20.46976  05 15 58.01   +19 31 07.6         03TH58    250  S~06Ae      
2008 09  20.47601  05 15 58.01   +19 31 07.5         03TH58    250  S~06Ae      
2015 10  19.43166  06 01 42.67   +14 13 46.0   23.2r 03TH58    568  C~59d3      
2015 10  19.50534  06 01 42.52   +14 13 44.3   22.7r 03TH58    568  C~59d3      
2015 10  19.56106  06 01 42.41   +14 13 43.2   23.2r 03TH58    568  C~59d3      
2015 10  19.62723  06 01 42.27   +14 13 41.7   22.6r 03TH58    568  C~59d3      
2020 11  14.431440 06 31 42.435  +10 06 48.57  22.8G 03TH58    G37  C~4NFg      
2020 11  14.478950 06 31 42.192  +10 06 47.39        03TH58    G37  C~4NFg      
2020 11  14.508070 06 31 42.103  +10 06 47.53        03TH58    G37  C~4NFg      
2020 12  09.390460 06 29 44.277  +10 00 21.56  22.9G 03TH58    G37  C~4Tx8      
2020 12  09.436190 06 29 44.013  +10 00 20.97        03TH58    G37  C~4Tx8      
2020 12  09.487180 06 29 43.738  +10 00 20.71        03TH58    G37  C~4Tx8      

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    -0.01
     2   0.0000      0.00     0.01       0.00     0.01
     3   0.0000      0.00     0.05       0.00    -0.04
     4   0.7565      0.00     0.02       0.00     0.30
     5   0.7566      0.00     0.04       0.00     0.28
     6   0.7568      0.00    -0.14       0.00     0.29
     7   0.9587      0.00     0.01       0.00     0.16
     8   0.9588      0.00     0.01       0.00     0.01
     9   0.9588      0.00    -0.00       0.00     0.05
    10   0.9616      0.00     0.07       0.00     0.07
    11   0.9617      0.00     0.03       0.00     0.15
    12   1.6984      0.00    -0.15       0.00     0.19
    13   1.7011      0.00    -0.02       0.00     0.26
    14   1.7120      0.00     0.31       0.00     0.10
    15   1.7147      0.00     0.16       0.00     0.09
    16   1.7174      0.00     0.18       0.00     0.07
    17   2.8455      0.00     0.21       0.00    -0.09
    18   2.8456      0.00    -0.68       0.00     0.11
    19   2.8483      0.00     0.21       0.00     0.03
    20   2.9818      0.00    -0.34       0.00    -0.62
    21   2.9821      0.00    -0.32       0.00    -0.62
    22   2.9822      0.00    -0.32       0.00    -0.53
    23   2.9849      0.00    -0.22       0.00    -0.56
    24   3.0858      0.00     0.34       0.00    -0.16
    25   3.0858      0.00     0.22       0.00    -0.15
    26   3.0858      0.00     0.32       0.00    -0.12
    27   5.7229      0.00    -0.02       0.00     0.23
    28   5.7229      0.00    -0.03       0.00     0.22
    29   5.7229      0.00    -0.03       0.00     0.22
    30   5.7230      0.00    -0.04       0.00     0.20
    31  12.8002      0.00     0.01       0.00     0.02
    32  12.8004      0.00    -0.00       0.00    -0.10
    33  12.8005      0.00     0.07       0.00     0.01
    34  12.8007      0.00     0.02       0.00    -0.06
    35  17.8734      0.00     0.32       0.00     0.10
    36  17.8736      0.00    -0.53       0.00    -0.13
    37  17.8736      0.00    -0.15       0.00     0.60
    38  17.9418      0.00     0.23       0.00    -0.16
    39  17.9419      0.00     0.07       0.00    -0.25
    40  17.9420      0.00     0.17       0.00     0.04

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.

03TH58    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.666    39.666    39.666
ecceobj         0.098     0.098     0.098
incobj         27.866    27.866    27.866
qmin           35.057    35.100    35.099
qmax           44.248    44.168    44.277
amean          39.457    39.457    39.457
amin           39.062    39.072    39.072
amax           39.871    39.871    39.871
emean           0.084     0.082     0.084
emin            0.058     0.056     0.059
emax            0.110     0.110     0.112
imean          29.380    29.392    29.379
imin           29.008    29.017    29.001
imax           29.736    29.784    29.753
excite_mean     0.498     0.498     0.498
fracstop        1.000     1.000     1.000
cjmean          2.751     2.751     2.751

libcent 0       180.4     179.6     178.7
libamp  0       102.0     103.1     102.4
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       180.4     177.6     180.1
kozaiamp        180.0     180.0     180.0