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 Sat Dec 15 02:09:17 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   20 observations of   20
# Arc:   6.09y
# First observation: 2004/08/13
#  Last observation: 2010/09/16
# Chi-squared of fit:    71.89 DOF:   34 RMS:  0.34
# Min/Max residuals:    -1.17    0.58
# Exact a, adot, b, bdot, g, gdot:
  1.348794E-05  2.624267E-02 -9.333174E-06 -1.697971E-02  2.868988E-02 -2.036815E-03
# Covariance matrix:
  1.8052E-13 -8.5932E-14 -2.1068E-14  4.4840E-14  9.5621E-14 -4.3852E-13
 -8.5932E-14  1.6313E-13  4.7786E-14 -1.0311E-13  3.4049E-14  1.0089E-12
 -2.1068E-14  4.7786E-14  1.2883E-13 -6.3819E-14  6.9186E-15  3.4121E-13
  4.4840E-14 -1.0311E-13 -6.3819E-14  9.6453E-14 -1.6426E-14 -7.3576E-13
  9.5621E-14  3.4049E-14  6.9186E-15 -1.6426E-14  2.7375E-13  1.6130E-13
 -4.3852E-13  1.0089E-12  3.4121E-13 -7.3576E-13  1.6130E-13  7.1992E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.375923  -19.294485    0.347492   -0.006180   -0.955954  2453230.619293
# Heliocentric elements and errors
Epoch:              2453230.5000  =  2004/08/13
Mean Anomaly:          320.63217 +/-     0.037
Argument of Peri:      228.58121 +/-     0.049
Long of Asc Node:      159.58584 +/-     0.000
Inclination:            33.00373 +/-     0.000
Eccentricity:         0.10593316 +/-    0.0001
Semi-Major Axis:     38.78681864 +/-    0.0031
Time of Perihelion: 2462879.0865 +/-      13.2
Perihelion:          34.67800846 +/-    0.0038
Aphelion:            42.89562882 +/-    0.0043
Period (y)              241.5652 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           33.68054963 +/-    0.0006
Ecliptic Y          -12.15893002 +/-    0.0002
Ecliptic Z           -0.22901599 +/-    0.0000
Ecliptic XDOT         0.00063206 +/-    0.0000
Ecliptic YDOT         0.00242439 +/-    0.0000
Ecliptic ZDOT        -0.00161894 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   35.80886186 +/-    0.0006
Geocenter to KBO     34.85555443 +/-    0.0006
# Hcoef:  7.06

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 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      

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     0.19       0.00     0.07
  2   0.0003      0.00     0.11       0.00    -0.02
  3   0.0031      0.00     0.21       0.00     0.27
  4   0.0852      0.00    -0.09       0.00     0.28
  5   0.0853      0.00    -0.02       0.00     0.22
  6   0.1617      0.00     0.08       0.00     0.29
  7   0.1620      0.00    -0.55       0.00    -0.45
  8   0.2438      0.00     0.00       0.00     0.22
  9   0.2465      0.00     0.58       0.00     0.15
 10   0.9040      0.00     0.28       0.00    -0.15
 11   0.9041      0.00     0.09       0.00    -1.17
 12   0.9856      0.00     0.04       0.00     0.06
 13   0.9859      0.00     0.08       0.00     0.09
 14   0.9883      0.00    -0.06       0.00    -0.11
 15   1.1309      0.00    -0.67       0.00    -0.39
 16   1.1312      0.00    -0.43       0.00     0.49
 17   3.1596      0.00    -0.19       0.00     0.09
 18   3.1598      0.00     0.52       0.00     0.00
 19   6.0923      0.00    -0.34       0.00    -0.07
 20   6.0924      0.00     0.30       0.00     0.17

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    39.116    39.116
ecceobj         0.113     0.113     0.113
incobj         32.874    32.874    32.874
qmin           34.064    34.126    33.904
qmax           44.149    44.188    44.290
amean          38.947    38.948    38.952
amin           38.633    38.636    38.631
amax           39.295    39.314    39.312
emean           0.109     0.107     0.111
emin            0.094     0.091     0.095
emax            0.124     0.124     0.128
imean          32.162    32.166    32.157
imin           31.728    31.729    31.718
imax           32.585    32.576    32.582
excite_mean     0.543     0.543     0.544
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       181.4     183.1     178.6
kozaiamp        180.0     180.0     180.0