Orbit Fit and Astrometric record for 04PA112

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: 04PA112   
# Created Sun Dec  5 02:10:01 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     60 observations of     60
# Arc:  17.14y
# First observation: 2004/08/13
#  Last observation: 2021/10/03
# Chi-squared of fit:   147.56 DOF:    114 RMS:  0.28
# Min/Max residuals:    -1.17    0.97
# Exact a, adot, b, bdot, g, gdot:
  1.409422E-05  2.624128E-02 -9.232551E-06 -1.697948E-02  2.868960E-02 -2.046161E-03
# Covariance matrix:
  1.0724E-13 -1.3221E-14 -9.5534E-15  4.5478E-15  3.3333E-14 -1.7174E-14
 -1.3221E-14  4.7144E-15  5.0878E-15 -2.4911E-15  4.7471E-15  9.1870E-15
 -9.5534E-15  5.0878E-15  8.7423E-14 -1.0845E-14  2.6356E-15  1.2729E-14
  4.5478E-15 -2.4911E-15 -1.0845E-14  2.6417E-15 -1.5861E-15 -6.2112E-15
  3.3333E-14  4.7471E-15  2.6356E-15 -1.5861E-15  9.8742E-14  4.9341E-15
 -1.7174E-14  9.1870E-15  1.2729E-14 -6.2112E-15  4.9341E-15  2.2973E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.375923  -19.294485    0.347493   -0.006180   -0.955954  2453230.619293
# Heliocentric elements and errors
Epoch:              2453230.5000  =  2004/08/13
Mean Anomaly:          320.52638 +/-     0.011
Argument of Peri:      228.72193 +/-     0.013
Long of Asc Node:      159.58591 +/-     0.000
Inclination:            33.00485 +/-     0.000
Eccentricity:         0.10612765 +/-    0.0000
Semi-Major Axis:     38.78651391 +/-    0.0019
Time of Perihelion: 2462904.8993 +/-       6.2
Perihelion:          34.67019215 +/-    0.0019
Aphelion:            42.90283568 +/-    0.0023
Period (y)              241.5624 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           33.68087925 +/-    0.0004
Ecliptic Y          -12.15902302 +/-    0.0001
Ecliptic Z           -0.22901473 +/-    0.0000
Ecliptic XDOT         0.00063118 +/-    0.0000
Ecliptic YDOT         0.00242458 +/-    0.0000
Ecliptic ZDOT        -0.00161893 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   35.80920364 +/-    0.0003
Geocenter to KBO     34.85589643 +/-    0.0004
# Hcoef:  7.48

The following table shows the complete astrometric record for 04PA112. 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 (04PA112) followed by the observatory code and reference code for the source of the astrometry.

2004 08  13.11855  22 49 20.83   -07 54 01.5   21.8R 04PA112   807  Cl4405      
2004 08  13.22759  22 49 20.30   -07 54 05.9         04PA112   807  Cl4405      
2004 08  14.24449  22 49 15.47   -07 54 45.8         04PA112   807  Cl4405      
2004 09  13.23667  22 46 44.19   -08 15 16.1   22.6R 04PA112   304  Cl4405      
2004 09  13.28461  22 46 43.95   -08 15 18.1         04PA112   304  Cl4405      
2004 10  11.17536  22 44 38.55   -08 32 33.0   22.3R 04PA112   695  Cl8416      
2004 10  11.27689  22 44 38.12   -08 32 37.0         04PA112   695  Cl8416      
2004 11  10.16302  22 43 24.07   -08 44 42.5   22.1R 04PA112   695  Cl9851      
2004 11  11.13762  22 43 23.12   -08 44 57.4         04PA112   695  Cl9851      
2005 07  09.30524  22 58 34.03   -07 53 50.5   22.7R 04PA112   304  Co3997      
2005 07  09.34623  22 58 33.92   -07 53 52.6         04PA112   304  Co3997      
2005 08  08.10770  22 56 51.54   -08 10 17.4   21.5R 04PA112   807  Co3997      
2005 08  08.22422  22 56 51.02   -08 10 21.9         04PA112   807  Co3997      
2005 08  09.11306  22 56 47.07   -08 10 56.6         04PA112   807  Co3997      
2005 09  30.18840  22 52 30.76   -08 46 07.6   22.6R 04PA112   688  Co3997      
2005 09  30.28308  22 52 30.34   -08 46 10.2         04PA112   688  Co3997      
2007 10  11.16465  23 06 05.86   -09 30 58.5   22.9R 04PA112   688  Cw0504      
2007 10  11.24160  23 06 05.58   -09 31 01.1         04PA112   688  Cw0504      
2010 08  31.47702  23 31 20.752  -09 58 12.79  22.3G 04PA112   F51  C~2rXg      
2010 09  15.45161  23 30 04.289  -10 09 10.04  22.5G 04PA112   F51  C~2rXg      
2010 09  16.33610  23 29 59.65   -10 09 47.1   21.9R 04PA112   688  C~0NGP      
2010 09  16.38416  23 29 59.44   -10 09 48.9         04PA112   688  C~0NGP      
2010 09  16.49185  23 29 58.905  -10 09 54.45  23.2G 04PA112   F51  C~2rXg      
2010 09  16.50329  23 29 58.830  -10 09 55.01  23.0G 04PA112   F51  C~2rXg      
2010 09  16.51483  23 29 58.788  -10 09 55.55  22.6G 04PA112   F51  C~2rXg      
2010 09  16.52631  23 29 58.723  -10 09 55.94  22.5G 04PA112   F51  C~2rXg      
2011 09  21.39126  23 36 59.335  -10 30 11.40  22.9G 04PA112   F51  C~2rXg      
2012 08  14.49242  23 47 24.950  -10 18 53.32  22.5G 04PA112   F51  C~2rXg      
2012 11  01.35681  23 41 16.718  -11 09 09.87  22.5G 04PA112   F51  C~2rXg      
2013 08  14.52686  23 54 52.125  -10 34 19.76  23.2G 04PA112   F51  C~2rXg      
2013 08  27.48214  23 53 56.665  -10 44 16.01  22.5G 04PA112   F51  C~2rXg      
2013 09  01.43595  23 53 33.186  -10 48 05.90  22.3G 04PA112   F51  C~2rXg      
2013 09  01.44941  23 53 33.113  -10 48 06.49  22.4G 04PA112   F51  C~2rXg      
2013 09  01.47631  23 53 32.964  -10 48 08.07  22.8G 04PA112   F51  C~2rXg      
2013 11  23.27233  23 47 45.595  -11 29 31.11  23.0G 04PA112   F51  C~2rXg      
2014 08  22.54174  00 01 48.772  -10 55 21.54  23.0G 04PA112   F51  C~2rXg      
2014 08  23.54253  00 01 44.486  -10 56 08.51  22.8G 04PA112   F51  C~2rXg      
2014 09  17.46154  23 59 43.626  -11 15 24.42  22.9G 04PA112   F51  C~2rXg      
2014 09  19.38112  23 59 33.611  -11 16 49.40  22.8G 04PA112   F51  C~2rXg      
2014 09  19.39111  23 59 33.591  -11 16 49.81  22.7G 04PA112   F51  C~2rXg      
2014 09  19.40109  23 59 33.548  -11 16 50.00  22.7G 04PA112   F51  C~2rXg      
2014 09  19.41106  23 59 33.487  -11 16 50.24  22.9G 04PA112   F51  C~2rXg      
2014 09  29.39232  23 58 41.436  -11 23 49.91  23.3G 04PA112   F51  C~2rXg      
2014 11  10.29393  23 55 39.417  -11 43 18.73  22.9G 04PA112   F51  C~2rXg      
2014 11  12.21392  23 55 33.841  -11 43 43.04  23.9G 04PA112   F51  C~2rXg      
2014 11  22.24533  23 55 10.246  -11 45 02.53  23.6G 04PA112   F51  C~2rXh      
2014 11  24.24498  23 55 06.753  -11 45 08.94  22.7G 04PA112   F51  C~2rXh      
2014 12  07.24701  23 54 54.056  -11 44 34.21  22.9G 04PA112   F51  C~2rXh      
2015 07  19.59545  00 10 55.888  -10 45 02.16  22.9G 04PA112   F51  C~2rXh      
2015 10  05.35031  00 05 43.812  -11 42 24.56  22.8G 04PA112   F51  C~2rXh      
2015 12  02.29175  00 02 19.762  -12 00 02.21  23.2G 04PA112   F51  C~2rXh      
2016 08  30.49482  00 16 15.008  -11 30 26.66  23.0G 04PA112   F51  C~2rXh      
2016 09  08.47775  00 15 32.447  -11 37 38.27  23.1G 04PA112   F51  C~2rXh      
2016 09  08.48878  00 15 32.397  -11 37 38.54  22.1G 04PA112   F51  C~2rXh      
2016 09  08.49978  00 15 32.353  -11 37 38.87  22.9G 04PA112   F51  C~2rXh      
2016 09  08.51077  00 15 32.292  -11 37 39.55  22.4G 04PA112   F51  C~2rXh      
2016 10  02.45530  00 13 28.599  -11 55 14.43  23.0G 04PA112   F51  C~2rXh      
2021 10  03.298770 00 51 45.823  -12 55 02.05  22.6G 04PA112   G37  C~554U      
2021 10  03.335350 00 51 45.634  -12 55 03.74        04PA112   G37  C~554U      
2021 10  03.372000 00 51 45.439  -12 55 05.09        04PA112   G37  C~554U      

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     0.00
     2   0.0003      0.00     0.00       0.00    -0.09
     3   0.0031      0.00     0.10       0.00     0.20
     4   0.0852      0.00    -0.21       0.00     0.20
     5   0.0853      0.00    -0.13       0.00     0.15
     6   0.1617      0.00    -0.02       0.00     0.22
     7   0.1620      0.00    -0.65       0.00    -0.52
     8   0.2438      0.00    -0.09       0.00     0.15
     9   0.2465      0.00     0.48       0.00     0.08
    10   0.9040      0.00     0.38       0.00    -0.15
    11   0.9041      0.00     0.19       0.00    -1.17
    12   0.9856      0.00     0.16       0.00     0.07
    13   0.9859      0.00     0.20       0.00     0.09
    14   0.9883      0.00     0.05       0.00    -0.10
    15   1.1309      0.00    -0.53       0.00    -0.37
    16   1.1312      0.00    -0.29       0.00     0.51
    17   3.1596      0.00     0.11       0.00     0.39
    18   3.1598      0.00     0.82       0.00     0.30
    19   6.0489      0.00     0.00       0.00    -0.26
    20   6.0899      0.00     0.12       0.00     0.07
    21   6.0923      0.00    -0.84       0.00     0.74
    22   6.0924      0.00    -0.21       0.00     0.97
    23   6.0927      0.00     0.11       0.00    -0.05
    24   6.0928      0.00    -0.11       0.00    -0.13
    25   6.0928      0.00     0.17       0.00    -0.18
    26   6.0928      0.00     0.10       0.00    -0.09
    27   7.1055      0.00    -0.05       0.00    -0.16
    28   8.0038      0.00     0.14       0.00    -0.22
    29   8.2197      0.00     0.04       0.00    -0.26
    30   9.0032      0.00     0.23       0.00    -0.15
    31   9.0386      0.00     0.21       0.00    -0.06
    32   9.0522      0.00     0.01       0.00     0.33
    33   9.0522      0.00    -0.09       0.00     0.37
    34   9.0523      0.00    -0.33       0.00     0.04
    35   9.2790      0.00    -0.13       0.00    -0.19
    36  10.0244      0.00    -0.08       0.00     0.01
    37  10.0272      0.00     0.05       0.00     0.03
    38  10.0954      0.00     0.03       0.00    -0.02
    39  10.1007      0.00    -0.52       0.00    -0.40
    40  10.1007      0.00    -0.03       0.00    -0.37
    41  10.1007      0.00     0.12       0.00    -0.12
    42  10.1007      0.00     0.00       0.00     0.07
    43  10.1281      0.00     0.12       0.00    -0.12
    44  10.2428      0.00     0.46       0.00    -0.03
    45  10.2480      0.00     0.20       0.00    -0.10
    46  10.2755      0.00    -0.31       0.00     0.17
    47  10.2810      0.00     0.11       0.00     0.14
    48  10.3166      0.00    -0.15       0.00     0.02
    49  10.9308      0.00    -0.05       0.00    -0.08
    50  11.1437      0.00     0.28       0.00    -0.03
    51  11.3023      0.00    -0.01       0.00     0.10
    52  12.0476      0.00     0.02       0.00    -0.05
    53  12.0722      0.00    -0.16       0.00    -0.33
    54  12.0722      0.00    -0.07       0.00    -0.08
    55  12.0722      0.00     0.09       0.00     0.11
    56  12.0723      0.00     0.01       0.00    -0.04
    57  12.1378      0.00     0.00       0.00     0.17
    58  17.1394      0.00    -0.09       0.00     0.13
    59  17.1395      0.00     0.04       0.00    -0.03
    60  17.1396      0.00     0.09       0.00     0.15

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.

04PA112    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        39.116    39.115    39.116
ecceobj         0.113     0.113     0.113
incobj         32.875    32.875    32.875
qmin           34.062    34.062    34.062
qmax           44.112    44.118    44.178
amean          38.948    38.949    38.946
amin           38.643    38.630    38.633
amax           39.284    39.294    39.316
emean           0.109     0.108     0.108
emin            0.093     0.093     0.091
emax            0.123     0.124     0.124
imean          32.162    32.163    32.158
imin           31.723    31.723    31.712
imax           32.582    32.582    32.569
excite_mean     0.543     0.543     0.543
fracstop        1.000     1.000     1.000
cjmean          2.687     2.687     2.687

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       180.6     182.0     180.3
kozaiamp        179.9     180.0     180.0