Orbit Fit and Astrometric record for 04PZ107

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: 04PZ107   
# Created Thu Dec  9 02:10:00 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     20 observations of     22
# Arc:  16.00y
# First observation: 2004/08/14
#  Last observation: 2020/08/12
# Chi-squared of fit:    74.32 DOF:     34 RMS:  0.34
# Min/Max residuals:    -1.22    0.65
# Exact a, adot, b, bdot, g, gdot:
  1.644781E-05  2.811491E-02  3.529381E-06  5.397926E-03  2.651764E-02 -3.341725E-03
# Covariance matrix:
  1.5304E-13 -4.2848E-14  8.4050E-15 -6.5284E-15  6.6952E-15 -6.2843E-14
 -4.2848E-14  2.9885E-14 -6.8735E-15  5.4564E-15  1.9159E-14  5.2550E-14
  8.4050E-15 -6.8735E-15  1.0919E-13 -9.4862E-15 -4.4742E-15 -1.2703E-14
 -6.5284E-15  5.4564E-15 -9.4862E-15  2.5188E-15  4.9066E-15  1.0142E-14
  6.6952E-15  1.9159E-14 -4.4742E-15  4.9066E-15  2.9643E-13  4.7551E-14
 -6.2843E-14  5.2550E-14 -1.2703E-14  1.0142E-14  4.7551E-14  9.7689E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.466455  -60.853622   -0.389071    0.007741   -0.939624  2453231.569683
# Heliocentric elements and errors
Epoch:              2453232.5000  =  2004/08/15
Mean Anomaly:          331.74575 +/-     0.009
Argument of Peri:       43.06801 +/-     0.012
Long of Asc Node:      297.35005 +/-     0.000
Inclination:            10.87986 +/-     0.000
Eccentricity:         0.18414081 +/-    0.0001
Semi-Major Axis:     45.59437827 +/-    0.0046
Time of Perihelion: 2462058.1496 +/-      16.0
Perihelion:          37.19859238 +/-    0.0046
Aphelion:            53.99016415 +/-    0.0061
Period (y)              307.8755 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           19.16001507 +/-    0.0004
Ecliptic Y          -33.56423574 +/-    0.0007
Ecliptic Z            0.30713781 +/-    0.0000
Ecliptic XDOT         0.00236303 +/-    0.0000
Ecliptic YDOT         0.00171205 +/-    0.0000
Ecliptic ZDOT         0.00055460 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.64923866 +/-    0.0006
Geocenter to KBO     37.71086533 +/-    0.0008
# Hcoef:  7.67

The following table shows the complete astrometric record for 04PZ107. 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 (04PZ107) followed by the observatory code and reference code for the source of the astrometry.

2004 08  14.06894  20 04 45.39   -19 52 21.2   22.2R 04PZ107   807  Cl2777      
2004 08  15.12201  20 04 40.29   -19 52 33.9         04PZ107   807  Cl2777      
2004 08  15.19860  20 04 39.91   -19 52 34.5         04PZ107   807  Cl2777      
2004 09  11.03573  20 02 52.24   -19 56 41.1   23.8R 04PZ107   304  Cl4404      
2004 09  11.06278  20 02 52.13   -19 56 41.1         04PZ107   304  Cl4404      
2005 08  08.07888  20 11 42.02   -19 12 24.1   22.4R 04PZ107   807  Co3997      
2005 08  08.19553  20 11 41.41   -19 12 25.6         04PZ107   807  Co3997      
2005 08  09.08415  20 11 36.85   -19 12 37.6         04PZ107   807  Co3997      
2005 11  02.09941  20 08 44.98   -19 18 35.2   23.4R 04PZ107   695  Cp0715      
2005 11  02.14205  20 08 45.07   -19 18 34.9         04PZ107   695  Cp0715      
2005 11  03.10313  20 08 47.41   -19 18 25.8         04PZ107   695  Cp0715      
2006 08  21.15642  20 17 03.73   -18 35 31.1   22.5R 04PZ107   807  Cs2682      
2006 08  21.24866  20 17 03.28   -18 35 32.4         04PZ107   807  Cs2682      
2006 08  22.15084  20 16 59.06   -18 35 44.0         04PZ107   807  Cs2682      
2008 06  07.26148  20 35 41.29   -16 56 39.0         04PZ107   807  Cz1380      
2008 06  07.36994  20 35 40.97   -16 56 39.6         04PZ107   807  Cz1380      
2013 10  05.11772  20 58 46.82   -13 42 41.1   23.8R 04PZ107   695  C~0zda      
2013 10  05.22490  20 58 46.62   -13 42 43.6         04PZ107   695  C~0zda      
2020 08  12.245850 21 46 12.784  -07 43 08.21  23.9G 04PZ107   G37  C~43qt      
2020 08  12.295160 21 46 12.495  -07 43 09.26        04PZ107   G37  C~43qt      
2021 07  09.330530 21 55 00.637  -06 41 49.10  23.7G 04PZ107   G37  C~4uo0      
2021 07  09.422010 21 55 00.247  -06 41 50.13        04PZ107   G37  C~4uo0      

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    -0.05
     2   0.0029      0.00     0.27       0.00    -0.54
     3   0.0031      0.00     0.22       0.00    -0.26
     4   0.0766      0.00     0.24       0.00    -0.08
     5   0.0766      0.00    -0.15       0.00     0.09
     6   0.9829      0.00     0.13       0.00    -0.06
     7   0.9832      0.00     0.12       0.00     0.00
     8   0.9857      0.00    -0.16       0.00    -0.21
     9   1.2184      0.00 (  -2.92)      0.00 (  -0.86)
    10   1.2185      0.00 (  -2.93)      0.00 (  -0.93)
    11   1.2212      0.00    -0.29       0.00    -0.11
    12   2.0180      0.00     0.10       0.00     0.33
    13   2.0183      0.00    -0.06       0.00     0.21
    14   2.0208      0.00    -0.48       0.00     0.24
    15   3.8144      0.00    -0.24       0.00     0.61
    16   3.8147      0.00    -0.04       0.00     0.65
    17   9.1418      0.00    -0.09       0.00     0.17
    18   9.1421      0.00     0.35       0.00    -1.22
    19  15.9950      0.00     0.56       0.00    -0.02
    20  15.9951      0.00     0.04       0.00     0.05
    21  16.9015      0.00     0.06       0.00     0.14
    22  16.9017      0.00    -0.68       0.00     0.05

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.

04PZ107    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        45.789    45.789    45.789
ecceobj         0.190     0.190     0.190
incobj         10.867    10.867    10.867
qmin           36.694    36.710    36.701
qmax           55.316    55.340    55.315
amean          45.783    45.783    45.783
amin           45.376    45.374    45.380
amax           46.263    46.276    46.277
emean           0.187     0.187     0.186
emin            0.177     0.177     0.177
emax            0.196     0.196     0.196
imean          12.416    12.418    12.427
imin           11.929    11.939    11.944
imax           12.843    12.842    12.843
excite_mean     0.285     0.285     0.285
fracstop        1.000     1.000     1.000
cjmean          3.023     3.023     3.023

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       181.1     182.0     183.0
kozaiamp        179.9     180.0     179.9