Orbit Fit and Astrometric record for 03HD57

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: 03HD57    
# Created Tue Dec 12 02:37:19 2017
# Orbit generated from Bernstein formalism
# Fitting   20 observations of   20
# Arc:  10.05y
# First observation: 2003/04/26
#  Last observation: 2013/05/14
Preliminary a, adot, b, bdot, g, gdot:
  -0.000341   0.037328   0.000069  -0.003504   0.032713   0.000000
# Chi-squared of fit:    42.49 DOF:   34 RMS:  0.26
# Min/Max residuals:    -0.51    0.50
# Exact a, adot, b, bdot, g, gdot:
  1.828062E-05  3.682304E-02 -2.827699E-06 -3.452504E-03  3.130683E-02  2.022123E-03
# Covariance matrix:
  1.6864E-13 -1.2556E-13 -5.0389E-15  1.0308E-14 -6.3322E-15 -2.8456E-13
 -1.2556E-13  2.5072E-13  1.1598E-14 -2.2934E-14  9.9491E-14  6.3204E-13
 -5.0389E-15  1.1598E-14  1.1390E-13 -1.4126E-14  7.2141E-15  2.9994E-14
  1.0308E-14 -2.2934E-14 -1.4126E-14  6.3506E-15 -1.0849E-14 -5.8963E-14
 -6.3322E-15  9.9491E-14  7.2141E-15 -1.0849E-14  4.2782E-13  2.9439E-13
 -2.8456E-13  6.3204E-13  2.9994E-14 -5.8963E-14  2.9439E-13  1.6245E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.691618 -163.135993   -0.328760    0.028096   -0.951436  2452755.837983
# Heliocentric elements and errors
Epoch:              2452750.5000  =  2003/04/21
Mean Anomaly:           17.48666 +/-     0.009
Argument of Peri:      137.53938 +/-     0.013
Long of Asc Node:       34.39080 +/-     0.000
Inclination:             5.61363 +/-     0.000
Eccentricity:         0.18115639 +/-    0.0001
Semi-Major Axis:     39.57679676 +/-    0.0041
Time of Perihelion: 2448333.1290 +/-       2.2
Perihelion:          32.40720694 +/-    0.0043
Aphelion:            46.74638658 +/-    0.0055
Period (y)              248.9827 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -31.37246264 +/-    0.0006
Ecliptic Y           -9.84939522 +/-    0.0002
Ecliptic Z            0.94285606 +/-    0.0000
Ecliptic XDOT         0.00075035 +/-    0.0000
Ecliptic YDOT        -0.00314056 +/-    0.0000
Ecliptic ZDOT        -0.00029639 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   32.89575923 +/-    0.0006
Geocenter to KBO     31.94190999 +/-    0.0007
# Hcoef:  7.90

The following table shows the complete astrometric record for 03HD57. 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 (03HD57) followed by the observatory code and reference code for the source of the astrometry.

2003 04  26.33724  13 04 46.37   -05 03 48.9   22.5R 03HD57    568  Cq9883      
2003 04  26.38207  13 04 46.12   -05 03 47.6   22.6R 03HD57    568  Cq9883      
2003 04  26.42446  13 04 45.90   -05 03 46.4   22.4R 03HD57    568  Cq9883      
2003 04  27.39143  13 04 40.81   -05 03 18.1   22.5R 03HD57    568  Cq9883      
2003 05  30.28847  13 02 20.62   -04 51 03.7         03HD57    568  Cq9883      
2003 05  30.29942  13 02 20.58   -04 51 03.3         03HD57    568  Cq9883      
2003 05  30.34175  13 02 20.45   -04 51 02.9         03HD57    568  Cq9883      
2003 05  30.38854  13 02 20.31   -04 51 02.3         03HD57    568  Cq9883      
2004 03  29.53109  13 14 48.83   -06 17 10.8   23.1R 03HD57    568  Cq9883      
2004 03  29.55414  13 14 48.71   -06 17 10.1   23. R 03HD57    568  C80331      
2004 03  29.58260  13 14 48.54   -06 17 09.2   22.8R 03HD57    568  Cq9883      
2004 04  16.33899  13 13 09.05   -06 07 40.2         03HD57    675  Cq9883      
2004 04  16.42634  13 13 08.55   -06 07 37.4         03HD57    675  Cq9883      
2005 07  09.20790  13 16 19.90   -06 45 09.9         03HD57    675  Cq9883      
2005 07  11.20209  13 16 21.72   -06 45 29.8         03HD57    675  Cq9883      
2013 03  12.40656  14 23 24.48   -14 32 09.0   23.0R 03HD57    695  C~0ud4      
2013 03  12.48804  14 23 24.15   -14 32 07.4         03HD57    695  C~0ud4      
2013 03  13.44972  14 23 20.71   -14 31 53.0         03HD57    695  C~0ud4      
2013 05  14.24042  14 18 00.24   -14 07 25.0   22.8R 03HD57    G37  C~0sni      
2013 05  14.30667  14 17 59.87   -14 07 23.7         03HD57    G37  C~0sni      

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     0.07       0.00     0.22
  2   0.0001     -3.95    -0.04      -0.23     0.16
  3   0.0002     -7.44     0.10      -0.37     0.16
  4   0.0029    -88.54     0.09      -3.29     0.11
  5   0.0930  -2305.21     0.03    -126.33     0.31
  6   0.0930  -2305.92    -0.15    -126.19     0.50
  7   0.0931  -2307.87    -0.06    -126.56     0.34
  8   0.0932  -2310.03     0.02    -126.81     0.32
  9   0.9259   9998.61    -0.31    -652.58    -0.32
 10   0.9260   9996.69    -0.17    -652.61    -0.30
 11   0.9261   9993.99    -0.31    -652.73    -0.38
 12   0.9747   8402.23     0.45    -687.55    -0.51
 13   0.9749   8394.26     0.38    -687.78    -0.50
 14   2.2036  11895.09    -0.21   -1696.36    -0.20
 15   2.2091  11927.82     0.08   -1704.58    -0.17
 16   9.8784  81100.27     0.39   -7146.81     0.01
 17   9.8786  81094.44    -0.28   -7146.83     0.22
 18   9.8812  81034.49    -0.04   -7149.39    -0.10
 19  10.0504  75448.99    -0.07   -7274.51     0.27
 20  10.0506  75442.75     0.02   -7275.07    -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.

03HD57    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.168    39.180    39.156
ecceobj         0.173     0.173     0.173
incobj          5.631     5.631     5.631
qmin           31.753    31.722    31.734
qmax           47.543    47.456    47.641
amean          39.457    39.455    39.456
amin           39.080    39.071    39.073
amax           39.885    39.846    39.895
emean           0.177     0.176     0.177
emin            0.158     0.159     0.158
emax            0.193     0.192     0.195
imean           5.346     5.347     5.343
imin            4.801     4.807     4.797
imax            5.959     5.956     5.949
excite_mean     0.200     0.200     0.200
fracstop        1.000     1.000     1.000
cjmean          3.006     3.006     3.006

libcent 0       179.9     179.9     180.2
libamp  0        52.9      52.5      55.4
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       177.6     177.4     178.0
kozaiamp        179.8     180.0     179.9