Orbit Fit and Astrometric record for 04PD112

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: 04PD112   
# Created Thu Mar 28 01:12:04 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     20 observations of     20
# Arc:  19.06y
# First observation: 2004/08/13
#  Last observation: 2023/09/06
# Chi-squared of fit:    73.91 DOF:     34 RMS:  0.34
# Min/Max residuals:    -0.79    0.73
# Exact a, adot, b, bdot, g, gdot:
  1.097170E-05  1.424310E-02 -1.264371E-06  1.742668E-03  1.861524E-02 -1.072764E-03
# Covariance matrix:
  2.7055E-13 -5.0688E-14  7.3089E-15 -5.0977E-15  2.1638E-13 -1.4538E-13
 -5.0688E-14  2.8242E-14 -4.8411E-15  3.3172E-15 -5.9402E-15  9.3803E-14
  7.3089E-15 -4.8411E-15  1.1374E-13 -8.7539E-15  1.0897E-16 -1.7067E-14
 -5.0977E-15  3.3172E-15 -8.7539E-15  2.0155E-15 -2.8091E-16  1.1690E-14
  2.1638E-13 -5.9402E-15  1.0897E-16 -2.8091E-16  4.7813E-13 -1.0769E-14
 -1.4538E-13  9.3803E-14 -1.7067E-14  1.1690E-14 -1.0769E-14  3.3051E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -3.500284  -13.115475    0.447394   -0.055676   -0.911792  2453230.682373
# Heliocentric elements and errors
Epoch:              2453230.5000  =  2004/08/13
Mean Anomaly:          209.20696 +/-     0.031
Argument of Peri:      133.46993 +/-     0.013
Long of Asc Node:       12.52941 +/-     0.000
Inclination:             7.78119 +/-     0.000
Eccentricity:         0.19647091 +/-    0.0001
Semi-Major Axis:     46.34531847 +/-    0.0053
Time of Perihelion: 2501501.4696 +/-      15.2
Perihelion:          37.23981143 +/-    0.0059
Aphelion:            55.45082552 +/-    0.0076
Period (y)              315.5128 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           53.00470234 +/-    0.0019
Ecliptic Y          -12.80809833 +/-    0.0005
Ecliptic Z           -3.27983197 +/-    0.0001
Ecliptic XDOT         0.00033527 +/-    0.0000
Ecliptic YDOT         0.00206536 +/-    0.0000
Ecliptic ZDOT         0.00026557 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   54.62882997 +/-    0.0019
Geocenter to KBO     53.71950521 +/-    0.0020
# Hcoef:  6.23

The following table shows the complete astrometric record for 04PD112. 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 (04PD112) followed by the observatory code and reference code for the source of the astrometry.

2004 08  13.18163  23 17 14.24   -08 24 05.3   22.5R 04PD112   807  Cl4405      
2004 08  13.28838  23 17 13.89   -08 24 07.7         04PD112   807  Cl4405      
2004 09  11.24828  23 15 33.93   -08 34 32.6         04PD112   304  Cl4405      
2004 09  11.26753  23 15 33.88   -08 34 32.2         04PD112   304  Cl4405      
2004 10  12.17265  23 13 49.01   -08 44 16.8   23.5R 04PD112   695  Cl8416      
2004 10  12.28189  23 13 48.64   -08 44 18.5         04PD112   695  Cl8416      
2005 08  08.157574 23 20 22.24   -07 57 39.1   23.1r 04PD112   807  C~5RlF      
2005 08  08.291241 23 20 21.84   -07 57 41.4   23.6r 04PD112   807  C~5RlF      
2005 08  09.161898 23 20 19.27   -07 57 58.5         04PD112   807  C~5RlF      
2005 11  02.219471 23 15 47.95   -08 23 56.4         04PD112   695  C~5RlF      
2007 09  16.356263 23 23 56.60   -07 21 34.7         04PD112   568  C~5RlF      
2007 09  18.459683 23 23 49.03   -07 22 19.5         04PD112   568  C~5RlF      
2007 09  18.502305 23 23 48.87   -07 22 20.4   24.0g 04PD112   568  C~5RlF      
2007 10  13.292905 23 22 24.90   -07 30 14.6   24.3g 04PD112   568  C~5RlF      
2011 08  05.520612 23 37 48.95   -05 25 26.3   23.6r 04PD112   568  C~5RlF      
2011 09  03.511580 23 36 18.83   -05 35 16.6   24.2g 04PD112   568  C~5RlF      
2011 09  03.516383 23 36 18.80   -05 35 16.8   24.1g 04PD112   568  C~5RlF      
2023 09  06.396380 00 11 28.082  -00 19 57.00  23.3G 04PD112   G37  C~7APT      
2023 09  06.435850 00 11 27.939  -00 19 57.94        04PD112   G37  C~7APT      
2023 09  06.472990 00 11 27.800  -00 19 58.70        04PD112   G37  C~7APT      

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    -0.01       0.00     0.61
     2   0.0003      0.00    -0.15       0.00     0.41
     3   0.0796      0.00    -0.06       0.00    -0.79
     4   0.0796      0.00     0.25       0.00     0.02
     5   0.1642      0.00     0.31       0.00     0.31
     6   0.1645      0.00    -0.25       0.00     0.28
     7   0.9856      0.00     0.24       0.00    -0.51
     8   0.9859      0.00     0.19       0.00    -0.18
     9   0.9883      0.00    -0.14       0.00    -0.14
    10   1.2212      0.00     0.49       0.00     0.02
    11   3.0915      0.00    -0.05       0.00    -0.37
    12   3.0973      0.00    -0.04       0.00    -0.23
    13   3.0974      0.00    -0.10       0.00    -0.22
    14   3.1653      0.00    -0.53       0.00    -0.60
    15   6.9770      0.00    -0.33       0.00     0.45
    16   7.0563      0.00     0.13       0.00     0.73
    17   7.0564      0.00    -0.06       0.00     0.63
    18  19.0642      0.00     0.16       0.00    -0.09
    19  19.0644      0.00     0.07       0.00    -0.18
    20  19.0645      0.00    -0.09       0.00    -0.14

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.

04PD112    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        46.763    46.763    46.763
ecceobj         0.188     0.188     0.188
incobj          7.733     7.733     7.733
qmin           36.696    36.692    36.663
qmax           57.041    56.977    57.006
amean          46.602    46.591    46.591
amin           46.165    46.170    46.152
amax           47.144    47.120    47.097
emean           0.196     0.196     0.196
emin            0.181     0.181     0.181
emax            0.210     0.211     0.210
imean           7.663     7.658     7.657
imin            6.879     6.881     6.880
imax            8.382     8.371     8.352
excite_mean     0.237     0.237     0.237
fracstop        1.000     1.000     1.000
cjmean          3.064     3.064     3.064

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       182.6     182.6     182.6
kozaiamp        180.0     180.0     179.9