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 Fri Oct 20 01:37:34 2017
# Orbit generated from Bernstein formalism
# Fitting   20 observations of   20
# Arc:   6.09y
# First observation: 2004/08/13
#  Last observation: 2010/09/16
Preliminary a, adot, b, bdot, g, gdot:
  -0.000341   0.026758   0.000244  -0.017368   0.028507   0.000000
# Chi-squared of fit:    69.65 DOF:   34 RMS:  0.33
# Min/Max residuals:    -1.11    0.61
# Exact a, adot, b, bdot, g, gdot:
  1.353281E-05  2.624266E-02 -9.333745E-06 -1.697971E-02  2.868989E-02 -2.036768E-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:          320.63195 +/-     0.037
Argument of Peri:      228.58125 +/-     0.049
Long of Asc Node:      159.58584 +/-     0.000
Inclination:            33.00374 +/-     0.000
Eccentricity:         0.10593074 +/-    0.0001
Semi-Major Axis:     38.78673173 +/-    0.0031
Time of Perihelion: 2462879.1064 +/-       9.1
Perihelion:          34.67802468 +/-    0.0038
Aphelion:            42.89543877 +/-    0.0043
Period (y)              241.5644 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           33.68054462 +/-    0.0006
Ecliptic Y          -12.15892661 +/-    0.0002
Ecliptic Z           -0.22901597 +/-    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   35.80881219 +/-    0.0006
Geocenter to KBO     34.85548683 +/-    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    -0.01
  2   0.0003     -8.95     0.08      -1.09    -0.06
  3   0.0031    -90.48     0.29     -10.81     0.17
  4   0.0852  -2635.73     0.01    -299.87     0.29
  5   0.0853  -2639.78     0.05    -300.37     0.21
  6   0.1617  -4754.15     0.18    -557.61     0.24
  7   0.1620  -4761.57    -0.68    -558.92    -0.21
  8   0.2438  -6052.80     0.08    -818.52     0.20
  9   0.2465  -6071.46     0.58    -827.05    -0.08
 10   0.9040   7605.55     0.19   -3127.87    -0.24
 11   0.9041   7603.23    -0.38   -3129.19    -1.11
 12   0.9856   5819.08     0.06   -3454.92     0.04
 13   0.9859   5810.22     0.10   -3456.12     0.05
 14   0.9883   5742.69    -0.11   -3465.68    -0.07
 15   1.1309   1419.91    -0.77   -3963.22    -0.11
 16   1.1312   1413.16    -0.21   -3963.25     0.61
 17   3.1596  11548.22    -0.14  -11115.17     0.16
 18   3.1598  11543.37     0.47  -11115.95    -0.20
 19   6.0923  30382.86    -0.34  -21869.33     0.08
 20   6.0924  30379.20     0.35  -21869.71     0.03

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    39.125    39.106
ecceobj         0.113     0.113     0.113
incobj         32.874    32.874    32.874
qmin           34.138    33.984    34.007
qmax           44.023    44.250    44.265
amean          38.950    38.958    38.963
amin           38.647    38.637    38.647
amax           39.279    39.341    39.328
emean           0.107     0.109     0.110
emin            0.092     0.094     0.095
emax            0.122     0.126     0.126
imean          32.169    32.172    32.159
imin           31.729    31.728    31.728
imax           32.588    32.590    32.561
excite_mean     0.543     0.544     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       181.8     179.0     179.3
kozaiamp        180.0     179.9     179.9