Orbit Fit and Astrometric record for 03HM57

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: 03HM57    
# Created Wed Oct 18 01:37:24 2017
# Orbit generated from Bernstein formalism
# Fitting   58 observations of   58
# Arc:  12.16y
# First observation: 2003/04/26
#  Last observation: 2015/06/22
Preliminary a, adot, b, bdot, g, gdot:
  -0.017227   0.058111   0.004137  -0.011362   0.047405   0.000000
# Chi-squared of fit:    24.76 DOF:  110 RMS:  0.12
# Min/Max residuals:    -0.35    0.28
# Exact a, adot, b, bdot, g, gdot:
  1.626237E-05  3.354205E-02 -4.251608E-06 -6.455713E-03  3.449983E-02 -2.919081E-02
# Covariance matrix:
  2.0826E-13 -2.8864E-14 -4.5999E-15  2.4589E-15 -7.3503E-15 -1.5968E-14
 -2.8864E-14  8.8841E-15  2.7205E-15 -1.4686E-15  2.6428E-15  9.6060E-15
 -4.5999E-15  2.7205E-15  1.8801E-13 -1.7007E-14  1.1260E-15  3.5382E-15
  2.4589E-15 -1.4686E-15 -1.7007E-14  1.8132E-15 -4.2300E-16 -1.9230E-15
 -7.3503E-15  2.6428E-15  1.1260E-15 -4.2300E-16  2.3177E-14  1.8797E-15
 -1.5968E-14  9.6060E-15  3.5382E-15 -1.9230E-15  1.8797E-15  1.2641E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.585706 -163.294982   -0.331356   -0.009723   -0.950899  2452755.835333
# Heliocentric elements and errors
Epoch:              2452750.5000  =  2003/04/21
Mean Anomaly:          330.01029 +/-     0.001
Argument of Peri:      293.96052 +/-     0.001
Long of Asc Node:       14.34795 +/-     0.000
Inclination:            10.77139 +/-     0.000
Eccentricity:         0.67624085 +/-    0.0000
Semi-Major Axis:     41.84404542 +/-    0.0011
Time of Perihelion: 2460986.5446 +/-       0.0
Perihelion:          13.54739245 +/-    0.0004
Aphelion:            70.14069839 +/-    0.0019
Period (y)              270.6816 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -28.57848456 +/-    0.0001
Ecliptic Y           -8.91823199 +/-    0.0000
Ecliptic Z           -0.29640350 +/-    0.0000
Ecliptic XDOT         0.00298264 +/-    0.0000
Ecliptic YDOT        -0.00188709 +/-    0.0000
Ecliptic ZDOT        -0.00048842 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   29.93914656 +/-    0.0001
Geocenter to KBO     28.98564699 +/-    0.0001
# Hcoef:  8.51

The following table shows the complete astrometric record for 03HM57. 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 (03HM57) followed by the observatory code and reference code for the source of the astrometry.

2003 04  26.33459  13 00 40.39   -07 06 22.9   22.9R 03HM57    568  Cq9883      
2003 04  26.37682  13 00 40.13   -07 06 21.6   23.0R 03HM57    568  Cq9883      
2003 04  26.41922  13 00 39.86   -07 06 20.2   22.9R 03HM57    568  Cq9883      
2003 04  27.38616  13 00 34.03   -07 05 47.6   22.9R 03HM57    568  Cq9883      
2003 05  30.28314  12 57 52.16   -06 50 47.3   23.1R 03HM57    568  Cq9883      
2003 05  30.33633  12 57 51.98   -06 50 46.3   23.5R 03HM57    568  Cq9883      
2003 05  30.38312  12 57 51.81   -06 50 45.4   23.0R 03HM57    568  Cq9883      
2012 04  15.42766  14 27 05.471  -19 46 46.57  21.6w 03HM57    F51  C~1vVF      
2012 04  15.44159  14 27 05.345  -19 46 46.20  21.7w 03HM57    F51  C~1vVF      
2012 04  15.45544  14 27 05.226  -19 46 45.80  21.6w 03HM57    F51  C~1vVF      
2013 04  12.49637  14 42 08.854  -21 35 49.33  21.7w 03HM57    F51  C~1vVF      
2013 04  12.51023  14 42 08.725  -21 35 49.30  21.6w 03HM57    F51  C~1vVF      
2013 04  12.52411  14 42 08.620  -21 35 48.77  21.8w 03HM57    F51  C~1vVF      
2013 04  12.53795  14 42 08.489  -21 35 48.36  21.6w 03HM57    F51  C~1vVF      
2013 05  05.38978  14 38 39.582  -21 24 09.57  21.6w 03HM57    F51  C~1vVF      
2013 05  05.40460  14 38 39.440  -21 24 08.97  21.6w 03HM57    F51  C~1vVF      
2013 05  05.41939  14 38 39.310  -21 24 08.40  21.5w 03HM57    F51  C~1vVF      
2013 05  05.43418  14 38 39.164  -21 24 07.83  21.4w 03HM57    F51  C~1vVF      
2014 03  12.55661  15 01 53.182  -23 30 33.07  21.2i 03HM57    F51  C~1vVF      
2014 03  12.58662  15 01 53.046  -23 30 33.15  21.6w 03HM57    F51  C~1vVF      
2014 03  12.59857  15 01 52.998  -23 30 33.12  21.7w 03HM57    F51  C~1vVF      
2014 03  12.61049  15 01 52.946  -23 30 33.59  21.5w 03HM57    F51  C~1vVF      
2014 03  12.62240  15 01 52.909  -23 30 33.36  21.8w 03HM57    F51  C~1vVF      
2014 04  29.40556  14 55 54.786  -23 20 40.50  21.3w 03HM57    F51  C~1vVF      
2014 04  29.41615  14 55 54.671  -23 20 40.16  21.2w 03HM57    F51  C~1vVF      
2014 04  29.42673  14 55 54.571  -23 20 39.92  21.2w 03HM57    F51  C~1vVF      
2014 05  23.32051  14 52 02.040  -23 07 04.04  21.3w 03HM57    F51  C~1vVF      
2014 05  23.33177  14 52 01.937  -23 07 03.60  21.3w 03HM57    F51  C~1vVF      
2014 05  23.34305  14 52 01.830  -23 07 03.19  21.3w 03HM57    F51  C~1vVF      
2014 05  23.35434  14 52 01.719  -23 07 02.72  21.2w 03HM57    F51  C~1vVF      
2014 06  20.29676  14 48 18.301  -22 50 02.39  21.5w 03HM57    F51  C~1vVF      
2014 06  20.30867  14 48 18.228  -22 50 02.13  21.6w 03HM57    F51  C~1vVF      
2014 06  20.32072  14 48 18.173  -22 50 01.69  21.4w 03HM57    F51  C~1vVF      
2014 06  20.33259  14 48 18.084  -22 50 01.33  21.6w 03HM57    F51  C~1vVF      
2014 06  30.27619  14 47 24.158  -22 44 50.92  21.5w 03HM57    F51  C~1vVF      
2014 06  30.28806  14 47 24.099  -22 44 50.41  21.6w 03HM57    F51  C~1vVF      
2014 06  30.29994  14 47 24.041  -22 44 49.98  21.4w 03HM57    F51  C~1vVF      
2014 06  30.31183  14 47 23.983  -22 44 49.76  21.5w 03HM57    F51  C~1vVF      
2015 03  22.55316  15 19 21.448  -25 22 49.61  21.5w 03HM57    F51  C~1vVF      
2015 03  22.56374  15 19 21.388  -25 22 49.74  21.4w 03HM57    F51  C~1vVF      
2015 03  22.57436  15 19 21.336  -25 22 49.83  21.4w 03HM57    F51  C~1vVF      
2015 03  22.58495  15 19 21.281  -25 22 49.94  21.4w 03HM57    F51  C~1vVF      
2015 05  26.36793  15 09 42.317  -25 03 16.70  20.7i 03HM57    F51  C~1vVF      
2015 05  26.37854  15 09 42.221  -25 03 16.24  20.8i 03HM57    F51  C~1vVF      
2015 05  26.38913  15 09 42.109  -25 03 16.03  20.9i 03HM57    F51  C~1vVF      
2015 05  26.39971  15 09 41.997  -25 03 15.60  20.7i 03HM57    F51  C~1vVF      
2015 05  29.37338  15 09 12.739  -25 01 28.58  20.9i 03HM57    F51  C~1vVF      
2015 05  29.38396  15 09 12.630  -25 01 28.17  21.0i 03HM57    F51  C~1vVF      
2015 05  29.39453  15 09 12.531  -25 01 27.80  20.8i 03HM57    F51  C~1vVF      
2015 05  29.40556  15 09 12.411  -25 01 27.34  20.9i 03HM57    F51  C~1vVF      
2015 06  11.31423  15 07 14.281  -24 53 32.66  21.3w 03HM57    F51  C~1vVF      
2015 06  11.32542  15 07 14.187  -24 53 32.29  21.4w 03HM57    F51  C~1vVF      
2015 06  11.33662  15 07 14.086  -24 53 31.83  21.1w 03HM57    F51  C~1vVF      
2015 06  11.34783  15 07 13.984  -24 53 31.50  21.2w 03HM57    F51  C~1vVF      
2015 06  22.37347  15 05 48.830  -24 46 54.50  21.1i 03HM57    F51  C~1vVF      
2015 06  22.38379  15 05 48.744  -24 46 54.02  21.0i 03HM57    F51  C~1vVF      
2015 06  22.39414  15 05 48.666  -24 46 53.76  21.1i 03HM57    F51  C~1vVF      
2015 06  22.40450  15 05 48.610  -24 46 53.19  21.0i 03HM57    F51  C~1vVF      

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    -0.18       0.00     0.27
  2   0.0001     -4.07    -0.10      -0.29     0.15
  3   0.0002     -8.32    -0.18      -0.54     0.06
  4   0.0029   -100.97     0.28      -3.76    -0.04
  5   0.0929  -2672.08    -0.04     -99.79    -0.19
  6   0.0931  -2674.94     0.13     -99.90    -0.13
  7   0.0932  -2677.63     0.10    -100.04    -0.12
  8   8.9722  92315.07     0.03  -17475.69     0.06
  9   8.9722  92312.89    -0.01  -17475.85    -0.01
 10   8.9723  92310.82     0.05  -17475.95    -0.01
 11   9.9635 109830.44    -0.05  -20724.66     0.14
 12   9.9635 109828.21    -0.06  -20725.15    -0.23
 13   9.9636 109826.21     0.15  -20724.99     0.04
 14   9.9636 109823.80    -0.04  -20725.06     0.08
 15  10.0262 105999.46    -0.03  -20807.88    -0.17
 16  10.0262 105996.83    -0.06  -20807.81    -0.09
 17  10.0262 105994.42     0.12  -20807.72     0.01
 18  10.0263 105991.73     0.02  -20807.69     0.04
 19  10.8781 133794.06     0.16  -24063.75    -0.19
 20  10.8782 133791.53    -0.09  -24064.33    -0.04
 21  10.8782 133790.61    -0.09  -24064.46     0.11
 22  10.8782 133789.81     0.02  -24065.20    -0.35
 23  10.8783 133789.02     0.14  -24065.06     0.07
 24  11.0091 126900.10     0.07  -24660.52     0.07
 25  11.0091 126897.86    -0.13  -24660.54     0.07
 26  11.0092 126895.93    -0.01  -24660.63     0.01
 27  11.0746 122361.26    -0.09  -24577.25     0.07
 28  11.0746 122359.24    -0.02  -24577.13     0.11
 29  11.0746 122357.16    -0.01  -24577.05     0.11
 30  11.0747 122354.98    -0.09  -24576.93     0.16
 31  11.1512 117980.93    -0.29  -24255.89     0.07
 32  11.1512 117979.54    -0.17  -24255.88    -0.07
 33  11.1512 117978.40     0.21  -24255.59     0.06
 34  11.1513 117976.69    -0.01  -24255.52    -0.03
 35  11.1785 116906.62     0.14  -24110.29    -0.14
 36  11.1785 116905.38     0.04  -24109.94     0.04
 37  11.1785 116904.20    -0.02  -24109.67     0.13
 38  11.1786 116903.09     0.01  -24109.65    -0.01
 39  11.9048 157256.08    -0.05  -28844.81     0.07
 40  11.9048 157254.88    -0.10  -28845.15    -0.01
 41  11.9048 157253.84     0.00  -28845.42    -0.01
 42  11.9049 157252.73     0.05  -28845.72    -0.05
 43  12.0822 145045.20    -0.03  -29159.29     0.04
 44  12.0823 145043.13     0.17  -29159.03     0.18
 45  12.0823 145040.84     0.14  -29159.13    -0.04
 46  12.0823 145038.46     0.03  -29158.95     0.01
 47  12.0905 144419.87     0.04  -29120.98    -0.02
 48  12.0905 144417.56    -0.05  -29120.83    -0.00
 49  12.0905 144415.47     0.08  -29120.69     0.00
 50  12.0905 144412.93    -0.15  -29120.51     0.04
 51  12.1259 141914.63    -0.08  -28921.59    -0.11
 52  12.1259 141912.65    -0.01  -28921.45    -0.14
 53  12.1259 141910.51    -0.10  -28921.22    -0.10
 54  12.1260 141908.39    -0.16  -28921.14    -0.21
 55  12.1562 140101.55     0.26  -28717.94    -0.01
 56  12.1562 140099.70    -0.03  -28717.64     0.09
 57  12.1562 140098.09    -0.08  -28717.59    -0.05
 58  12.1562 140096.78     0.18  -28717.08     0.25

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.

03HM57    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        41.575    41.578    41.572
ecceobj         0.677     0.677     0.677
incobj         10.821    10.821    10.821
qmin           12.772    12.980    12.826
qmax           71.832    74.616    71.448
amean          40.579    42.412    39.666
amin           38.696    40.943    37.635
amax           42.455    43.965    42.467
emean           0.676     0.685     0.669
emin            0.663     0.662     0.649
emax            0.694     0.701     0.683
imean           9.913     9.767    10.315
imin            8.937     8.903     9.692
imax           11.890    11.229    12.123
excite_mean     0.698     0.706     0.693
fracstop        0.026     0.028     0.023
cjmean          2.425     2.411     2.435

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       172.2     176.3     169.8
kozaiamp        179.4     179.4     179.4