Orbit Fit and Astrometric record for 10LO33

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: 10LO33    
# Created Tue Dec 19 02:37:36 2017
# Orbit generated from Bernstein formalism
# Fitting   46 observations of   51
# Arc:   4.26y
# First observation: 2010/05/20
#  Last observation: 2014/08/22
Preliminary a, adot, b, bdot, g, gdot:
   0.001807   0.078855  -0.000884   0.025653   0.060285   0.000000
# Chi-squared of fit:    24.49 DOF:   86 RMS:  0.13
# Min/Max residuals:    -0.28    0.35
# Exact a, adot, b, bdot, g, gdot:
  2.227966E-05  7.072002E-02  7.991585E-06  2.272443E-02  5.234578E-02 -2.286161E-02
# Covariance matrix:
  1.3668E-13 -7.8968E-14  4.6192E-15 -1.7133E-14  1.3370E-14 -1.5471E-13
 -7.8968E-14  6.1159E-13 -5.9582E-14  2.0994E-13  2.9058E-13  1.8613E-12
  4.6192E-15 -5.9582E-14  1.2461E-13 -5.0661E-14 -2.9403E-14 -1.8420E-13
 -1.7133E-14  2.0994E-13 -5.0661E-14  8.2927E-14  1.0132E-13  6.4921E-13
  1.3370E-14  2.9058E-13 -2.9403E-14  1.0132E-13  2.3872E-13  8.9087E-13
 -1.5471E-13  1.8613E-12 -1.8420E-13  6.4921E-13  8.9087E-13  5.7564E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.271778 -122.683495   -0.025945   -0.022527   -1.011614  2455336.806256
# Heliocentric elements and errors
Epoch:              2455330.5000  =  2010/05/14
Mean Anomaly:          309.56435 +/-     0.004
Argument of Peri:       81.30830 +/-     0.003
Long of Asc Node:      241.15187 +/-     0.000
Inclination:            17.87170 +/-     0.000
Eccentricity:         0.31662161 +/-    0.0000
Semi-Major Axis:     22.94293841 +/-    0.0010
Time of Perihelion: 2460954.0053 +/-       0.2
Perihelion:          15.67870843 +/-    0.0011
Aphelion:            30.20716840 +/-    0.0015
Period (y)              109.8960 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -10.83357812 +/-    0.0001
Ecliptic Y          -16.94302519 +/-    0.0001
Ecliptic Z           -0.42379598 +/-    0.0000
Ecliptic XDOT         0.00374617 +/-    0.0000
Ecliptic YDOT        -0.00100743 +/-    0.0000
Ecliptic ZDOT         0.00121477 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   20.11497255 +/-    0.0001
Geocenter to KBO     19.10373640 +/-    0.0002
# Hcoef:  8.49

The following table shows the complete astrometric record for 10LO33. 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 (10LO33) followed by the observatory code and reference code for the source of the astrometry.

2010 05  20.30549  15 38 54.09   -20 47 53.3   21.6V 10LO33    G96  C~0Inp      
2010 05  20.31369  15 38 54.02   -20 47 52.9   21.4V 10LO33    G96  C~0Inp      
2010 05  20.32204  15 38 53.95   -20 47 52.1   21.2V 10LO33    G96  C~0Inp      
2010 05  20.33044  15 38 53.84   -20 47 52.2   21.1V 10LO33    G96  C~0Inp      
2010 06  07.96905  15 35 57.993  -20 33 43.56  19.9R 10LO33    809  C~0ITr      
2010 06  08.05913  15 35 57.187  -20 33 39.99  19.8R 10LO33    809  C~0ITr      
2010 06  08.14352  15 35 56.422  -20 33 35.53  20.2R 10LO33    809  C~0ITr      
2010 06  09.04337  15 35 48.486  -20 32 56.29  20.5R 10LO33    809  C~0ITr      
2010 06  12.21961  15 35 20.820  -20 30 35.88        10LO33    807  C~0Inp      
2010 06  12.27337  15 35 20.345  -20 30 33.04        10LO33    807  C~0Inp      
2010 07  08.12236  15 32 21.247  -20 13 43.80  21.8R 10LO33    807  C~0KZp      
2010 07  08.96620  15 32 17.113  -20 13 15.93  21.2R 10LO33    807  C~0KZp      
2010 07  09.06543  15 32 16.623  -20 13 12.70  21.6R 10LO33    807  C~0KZp      
2010 08  26.01457  15 32 01.89   -19 59 46.9         10LO33    807  C~0MvU      
2010 08  27.01228  15 32 06.42   -19 59 47.4         10LO33    807  C~0MvU      
2010 08  28.00105  15 32 11.09   -19 59 48.8         10LO33    807  C~0MvU      
2011 06  06.38695  15 54 39.228  -20 11 30.76  21.6w 10LO33    F51  C~1vWE      
2011 06  06.40147  15 54 39.059  -20 11 29.97  21.3w 10LO33    F51  C~1vWE      
2011 06  06.41590  15 54 38.930  -20 11 29.35  21.6w 10LO33    F51  C~1vWE      
2011 06  06.43034  15 54 38.790  -20 11 28.80  21.4w 10LO33    F51  C~1vWE      
2014 04  03.57463  17 02 43.411  -18 39 54.28  21.5w 10LO33    F51  C~1vWE      
2014 04  03.58696  17 02 43.370  -18 39 53.96  21.6w 10LO33    F51  C~1vWE      
2014 04  03.59932  17 02 43.324  -18 39 53.52  21.4w 10LO33    F51  C~1vWE      
2014 04  03.61167  17 02 43.303  -18 39 52.98  21.4w 10LO33    F51  C~1vWE      
2014 05  21.44494  16 57 12.552  -18 12 36.85  21.2w 10LO33    F51  C~1vWE      
2014 05  21.45803  16 57 12.425  -18 12 36.40  21.1w 10LO33    F51  C~1vWE      
2014 05  21.47113  16 57 12.286  -18 12 35.99  21.1w 10LO33    F51  C~1vWE      
2014 05  21.48419  16 57 12.148  -18 12 35.41  21.1w 10LO33    F51  C~1vWE      
2014 05  28.43477  16 56 01.160  -18 08 36.97  21.1w 10LO33    F51  C~1vWE      
2014 05  28.44538  16 56 01.046  -18 08 36.52  21.1w 10LO33    F51  C~1vWE      
2014 05  28.45600  16 56 00.930  -18 08 36.23  21.2w 10LO33    F51  C~1vWE      
2014 05  28.46662  16 56 00.824  -18 08 35.85  21.2w 10LO33    F51  C~1vWE      
2014 06  18.40008  16 52 22.032  -17 57 35.47  20.6i 10LO33    F51  C~1vWE      
2014 06  18.41266  16 52 21.894  -17 57 35.10  20.4i 10LO33    F51  C~1vWE      
2014 06  18.42523  16 52 21.777  -17 57 34.49  20.8i 10LO33    F51  C~1vWE      
2014 06  26.33742  16 51 03.161  -17 53 58.01  21.2w 10LO33    F51  C~1vWE      
2014 06  26.34804  16 51 03.042  -17 53 57.68  21.6w 10LO33    F51  C~1vWE      
2014 06  26.35866  16 51 02.951  -17 53 57.65  21.4w 10LO33    F51  C~1vWE      
2014 06  26.36931  16 51 02.856  -17 53 57.18  21.4w 10LO33    F51  C~1vWE      
2014 06  28.33677  16 50 44.081  -17 53 07.06  21.1w 10LO33    F51  C~1vWE      
2014 06  28.34734  16 50 43.980  -17 53 06.80  21.2w 10LO33    F51  C~1vWE      
2014 06  28.35794  16 50 43.884  -17 53 06.58  21.1w 10LO33    F51  C~1vWE      
2014 06  28.36852  16 50 43.780  -17 53 06.26  21.3w 10LO33    F51  C~1vWE      
2014 07  25.31504  16 47 16.009  -17 44 26.88  21.4w 10LO33    F51  C~1vWE      
2014 07  25.32573  16 47 15.953  -17 44 26.70  21.4w 10LO33    F51  C~1vWE      
2014 07  25.33635  16 47 15.888  -17 44 26.57  21.3w 10LO33    F51  C~1vWE      
2014 07  25.34701  16 47 15.835  -17 44 26.35  21.3w 10LO33    F51  C~1vWE      
2014 08  22.25908  16 45 58.012  -17 41 40.86  21.5w 10LO33    F51  C~1vWE      
2014 08  22.27075  16 45 58.017  -17 41 40.83  21.5w 10LO33    F51  C~1vWE      
2014 08  22.28240  16 45 58.016  -17 41 40.73  21.6w 10LO33    F51  C~1vWE      
2014 08  22.29411  16 45 58.014  -17 41 40.77  21.6w 10LO33    F51  C~1vWE      

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    -0.23
  2   0.0000     -1.05    -0.04       0.16    -0.17
  3   0.0000     -2.19     0.04       0.72     0.28
  4   0.0001     -3.66    -0.21       0.27    -0.28
  5   0.0511  -2601.10 (   0.97)    253.30 (   0.14)
  6   0.0513  -2612.94 (   1.17)    254.12 (  -0.22)
  7   0.0516  -2624.43 (   1.01)    255.94 (   0.48)
  8   0.0540  -2742.01 (   1.46)    267.97 (  -0.26)
  9   0.0627  -3152.83 (   0.48)    313.24 (  -0.08)
 10   0.0629  -3159.98     0.24     314.43     0.34
 11   0.1337  -5847.36    -0.23     697.35    -0.20
 12   0.1360  -5910.58     0.05     710.48    -0.01
 13   0.1362  -5918.06     0.20     711.96     0.03
 14   0.2675  -6313.15     0.12    1444.87     0.35
 15   0.2702  -6250.98     0.04    1459.70     0.29
 16   0.2730  -6186.68    -0.16    1474.13    -0.01
 17   1.0461  12502.00     0.27    5031.73    -0.18
 18   1.0461  12499.50    -0.14    5032.01    -0.09
 19   1.0462  12497.58     0.01    5032.24    -0.04
 20   1.0462  12495.53     0.03    5032.37    -0.10
 21   3.8721  71550.87     0.05   20264.92    -0.04
 22   3.8721  71550.18    -0.04   20265.18    -0.11
 23   3.8721  71549.41    -0.23   20265.56    -0.07
 24   3.8722  71549.02    -0.02   20266.10     0.13
 25   4.0031  66142.56    -0.00   21352.82    -0.01
 26   4.0032  66140.52     0.10   21353.04    -0.00
 27   4.0032  66138.29     0.03   21353.19    -0.06
 28   4.0032  66136.05    -0.06   21353.53     0.06
 29   4.0223  64995.60     0.12   21461.08    -0.05
 30   4.0223  64993.76     0.09   21461.32     0.04
 31   4.0223  64991.91     0.04   21461.39    -0.03
 32   4.0223  64990.21     0.14   21461.57     0.00
 33   4.0797  61501.60    -0.02   21701.82    -0.19
 34   4.0797  61499.41    -0.13   21701.92    -0.20
 35   4.0797  61497.52     0.06   21702.31     0.09
 36   4.1014  60252.94    -0.00   21762.28     0.13
 37   4.1014  60251.06    -0.24   21762.37     0.16
 38   4.1014  60249.65     0.00   21762.21    -0.07
 39   4.1015  60248.12     0.13   21762.49     0.16
 40   4.1069  59951.58     0.01   21774.82    -0.00
 41   4.1069  59949.99     0.03   21774.87    -0.01
 42   4.1069  59948.48     0.13   21774.90    -0.04
 43   4.1069  59946.83     0.10   21775.01     0.01
 44   4.1807  56682.32    -0.08   21866.00    -0.04
 45   4.1808  56681.44     0.01   21866.06     0.01
 46   4.1808  56680.43    -0.05   21866.05    -0.01
 47   4.1808  56679.59     0.08   21866.16     0.09
 48   4.2572  55466.44    -0.11   21866.14    -0.06
 49   4.2573  55466.51    -0.04   21866.18    -0.01
 50   4.2573  55466.49    -0.07   21866.29     0.10
 51   4.2573  55466.46    -0.09   21866.24     0.06

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.

10LO33    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        22.816    22.817    22.814
ecceobj         0.316     0.316     0.316
incobj         17.904    17.904    17.904
qmin           15.554    15.555    15.553
qmax           30.496    30.432    30.542
amean          22.965    23.004    22.765
amin           22.813    22.765    22.366
amax           23.209    23.620    23.212
emean           0.311     0.300     0.305
emin            0.299     0.273     0.292
emax            0.320     0.320     0.320
imean          18.851    18.917    19.035
imin           18.617    18.773    18.757
imax           19.039    19.045    19.336
excite_mean     0.448     0.442     0.447
fracstop        0.002     0.003     0.003
cjmean          2.887     2.891     2.893

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        90.0      93.7      93.1
kozaiamp          6.8      11.5      10.9