Orbit Fit and Astrometric record for 13XB26

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: 13XB26    
# Created Sat Dec 16 02:37:59 2017
# Orbit generated from Bernstein formalism
# Fitting   52 observations of   53
# Arc:  13.05y
# First observation: 2002/03/05
#  Last observation: 2015/03/23
Preliminary a, adot, b, bdot, g, gdot:
  -0.000981   0.021576   0.000046  -0.000981   0.023239   0.000000
# Chi-squared of fit:    30.97 DOF:   98 RMS:  0.14
# Min/Max residuals:    -0.31    0.39
# Exact a, adot, b, bdot, g, gdot:
  1.503315E-05  2.107714E-02 -6.926465E-07 -9.551347E-04  2.252727E-02 -1.877989E-04
# Covariance matrix:
  4.8891E-13 -8.1660E-14 -2.0085E-15  2.0433E-15 -4.3617E-14 -1.5694E-13
 -8.1660E-14  4.9005E-14  2.0443E-15 -2.0853E-15  4.9028E-14  1.5987E-13
 -2.0085E-15  2.0443E-15  4.4462E-13 -3.6755E-14  2.2043E-15  7.1385E-15
  2.0433E-15 -2.0853E-15 -3.6755E-14  3.3121E-15 -2.4075E-15 -7.2878E-15
 -4.3617E-14  4.9028E-14  2.2043E-15 -2.4075E-15  1.8489E-13  1.7620E-13
 -1.5694E-13  1.5987E-13  7.1385E-15 -7.2878E-15  1.7620E-13  5.5841E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.537860  155.813283   -0.153752   -0.043441   -0.978380  2452338.703448
# Heliocentric elements and errors
Epoch:              2452330.5000  =  2002/02/25
Mean Anomaly:          346.50890 +/-     0.159
Argument of Peri:      237.83333 +/-     0.163
Long of Asc Node:      292.01229 +/-     0.002
Inclination:             3.57277 +/-     0.000
Eccentricity:         0.01193906 +/-    0.0001
Semi-Major Axis:     45.90327492 +/-    0.0031
Time of Perihelion: 2456587.5501 +/-      50.2
Perihelion:          45.35523313 +/-    0.0039
Aphelion:            46.45131671 +/-    0.0040
Period (y)              311.0095 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -41.40974352 +/-    0.0008
Ecliptic Y           18.43545919 +/-    0.0003
Ecliptic Z           -1.96562052 +/-    0.0000
Ecliptic XDOT        -0.00103248 +/-    0.0000
Ecliptic YDOT        -0.00234917 +/-    0.0000
Ecliptic ZDOT        -0.00011474 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   45.37065878 +/-    0.0007
Geocenter to KBO     44.39065016 +/-    0.0008
# Hcoef:  5.21

The following table shows the complete astrometric record for 13XB26. 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 (13XB26) followed by the observatory code and reference code for the source of the astrometry.

2002 03  05.202705 10 26 39.46   +07 01 06.3   21.6V 13XB26    645  C~1vX6      
2002 03  05.203535 10 26 39.46   +07 01 06.3   21.4V 13XB26    645  C~1vX6      
2002 03  05.206023 10 26 39.45   +07 01 06.3   22.5V 13XB26    645  C~1vX6      
2012 03  20.36284  11 09 46.206  +02 05 57.68  21.5w 13XB26    F51  C~1vX6      
2012 03  20.37745  11 09 46.139  +02 05 58.23  21.6w 13XB26    F51  C~1vX6      
2012 03  20.39210  11 09 46.078  +02 05 58.53  21.7w 13XB26    F51  C~1vX6      
2012 03  20.40671  11 09 46.023  +02 05 59.00  21.7w 13XB26    F51  C~1vX6      
2013 02  15.47513  11 16 27.101  +01 21 19.81  21.9w 13XB26    F51  C~1vX6      
2013 02  15.48881  11 16 27.037  +01 21 19.99  21.8w 13XB26    F51  C~1vX6      
2013 02  15.50250  11 16 26.987  +01 21 20.31  22.0w 13XB26    F51  C~1vX6      
2013 02  15.51617  11 16 26.946  +01 21 20.62  21.9w 13XB26    F51  C~1vX6      
2013 03  05.41947  11 15 13.680  +01 28 38.73  21.7w 13XB26    F51  C~1vX6      
2013 03  05.43442  11 15 13.605  +01 28 39.16  21.8w 13XB26    F51  C~1vX6      
2013 03  05.44934  11 15 13.547  +01 28 39.61  21.8w 13XB26    F51  C~1vX6      
2013 03  05.46433  11 15 13.486  +01 28 39.87  21.6w 13XB26    F51  C~1vX6      
2013 12  04.61089  11 22 45.710  +00 43 31.99  22.0w 13XB26    F51  C~1vX6      
2013 12  04.61615  11 22 45.714  +00 43 32.07  22.1w 13XB26    F51  C~1vX6      
2013 12  04.62141  11 22 45.724  +00 43 31.73  22.3w 13XB26    F51  C~1vX6      
2013 12  04.62668  11 22 45.732  +00 43 31.73  22.1w 13XB26    F51  C~1vX6      
2014 02  09.56774  11 21 13.468  +00 48 29.45  22.1w 13XB26    F51  C~1vX6      
2014 02  09.57998  11 21 13.433  +00 48 29.57  22.2w 13XB26    F51  C~1vX6      
2014 02  09.59221  11 21 13.399  +00 48 30.07  21.7w 13XB26    F51  C~1vX6      
2014 03  05.48080  11 19 38.436  +00 57 51.19  21.9w 13XB26    F51  C~1vX6      
2014 03  05.49319  11 19 38.393  +00 57 51.41  21.8w 13XB26    F51  C~1vX6      
2014 03  05.50553  11 19 38.323  +00 57 51.66  21.8w 13XB26    F51  C~1vX6      
2014 03  05.51792  11 19 38.270  +00 57 52.05  21.8w 13XB26    F51  C~1vX6      
2014 03  24.35116  11 18 19.596  +01 06 11.37  21.8w 13XB26    F51  C~1vX6      
2014 03  24.36326  11 18 19.549  +01 06 11.67  21.7w 13XB26    F51  C~1vX6      
2014 03  24.37539  11 18 19.500  +01 06 12.12  21.8w 13XB26    F51  C~1vX6      
2014 03  24.38754  11 18 19.444  +01 06 12.51  21.7w 13XB26    F51  C~1vX6      
2014 06  20.26924  11 15 53.691  +01 26 06.42  21.8w 13XB26    F51  C~1vX6      
2014 06  20.27453  11 15 53.688  +01 26 06.33  22.2w 13XB26    F51  C~1vX6      
2014 06  20.27980  11 15 53.698  +01 26 06.36  21.9w 13XB26    F51  C~1vX6      
2014 06  20.28508  11 15 53.739  +01 26 06.57  22.1w 13XB26    F51  C~1vX6      
2015 01  19.52730  11 26 40.035  +00 12 20.29  21.6w 13XB26    F51  C~1vX6      
2015 01  19.54080  11 26 39.994  +00 12 20.21  21.9w 13XB26    F51  C~1vX6      
2015 01  19.55434  11 26 39.961  +00 12 20.35  21.8w 13XB26    F51  C~1vX6      
2015 01  19.56792  11 26 39.934  +00 12 20.59  21.8w 13XB26    F51  C~1vX7      
2015 02  16.45307  11 25 12.445  +00 20 07.60  21.8w 13XB26    F51  C~1vX7      
2015 02  16.46598  11 25 12.396  +00 20 07.92  21.8w 13XB26    F51  C~1vX7      
2015 02  16.47896  11 25 12.351  +00 20 08.14  21.7w 13XB26    F51  C~1vX7      
2015 02  16.49184  11 25 12.298  +00 20 08.42  21.7w 13XB26    F51  C~1vX7      
2015 02  24.46085  11 24 40.950  +00 23 12.66  21.8w 13XB26    F51  C~1vX7      
2015 02  24.47514  11 24 40.889  +00 23 12.80  22.1w 13XB26    F51  C~1vX7      
2015 02  24.48942  11 24 40.839  +00 23 13.29  21.7w 13XB26    F51  C~1vX7      
2015 02  25.46729  11 24 36.881  +00 23 37.02  21.9w 13XB26    F51  C~1vX7      
2015 02  25.48123  11 24 36.811  +00 23 37.31  21.8w 13XB26    F51  C~1vX7      
2015 02  25.49520  11 24 36.742  +00 23 37.87  22.0w 13XB26    F51  C~1vX7      
2015 02  25.50908  11 24 36.709  +00 23 38.44  21.9w 13XB26    F51  C~1vX7      
2015 03  23.42804  11 22 48.560  +00 34 54.91  21.7w 13XB26    F51  C~1vX7      
2015 03  23.44197  11 22 48.506  +00 34 55.35  21.7w 13XB26    F51  C~1vX7      
2015 03  23.45583  11 22 48.442  +00 34 55.72  21.7w 13XB26    F51  C~1vX7      
2015 03  23.46967  11 22 48.381  +00 34 56.18  21.7w 13XB26    F51  C~1vX7      

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    -0.05       0.00     0.00
  2   0.0000      0.00     0.01       0.00     0.00
  3   0.0000     -0.14     0.04      -0.05    -0.05
  4  10.0429  43094.99     0.05   -1998.59    -0.16
  5  10.0429  43093.80    -0.10   -1998.46    -0.04
  6  10.0430  43092.80    -0.06   -1998.53    -0.12
  7  10.0430  43091.82    -0.01   -1998.40    -0.01
  8  10.9521  50008.43     0.04   -2204.16     0.28
  9  10.9522  50007.42    -0.05   -2204.37     0.10
 10  10.9522  50006.55     0.01   -2204.35     0.14
 11  10.9523  50005.83     0.20   -2204.30     0.22
 12  11.0013  48755.27     0.14   -2215.76     0.08
 13  11.0013  48754.00    -0.04   -2215.79     0.05
 14  11.0014  48752.97     0.03   -2215.70     0.15
 15  11.0014  48751.97     0.13   -2215.81     0.04
 16  11.7520  56530.79    -0.01   -2145.61     0.21
 17  11.7520  56530.82    -0.10   -2145.51     0.34
 18  11.7520  56531.11     0.06   -2145.78     0.10
 19  11.7520  56531.23     0.05   -2145.73     0.17
 20  11.9353  55036.72    -0.06   -2404.53    -0.07
 21  11.9353  55036.15     0.14   -2404.62    -0.13
 22  11.9354  55035.44     0.20   -2404.34     0.18
 23  12.0008  53398.97    -0.14   -2426.08    -0.11
 24  12.0008  53398.25     0.05   -2426.12    -0.14
 25  12.0008  53397.11    -0.17   -2426.29    -0.31
 26  12.0009  53396.17    -0.20   -2426.23    -0.25
 27  12.0524  52031.22    -0.09   -2411.14    -0.27
 28  12.0525  52030.41    -0.04   -2411.13    -0.28
 29  12.0525  52029.50    -0.07   -2410.99    -0.15
 30  12.0525  52028.52    -0.18   -2410.95    -0.12
 31  12.2931  49402.70     0.10   -2126.79     0.04
 32  12.2931  49402.69    -0.04   -2126.89    -0.08
 33  12.2932  49402.83    -0.04   -2126.81    -0.01
 34  12.2932  49403.34 (   0.35)  -2126.37 (   0.42)
 35  12.8770  60815.22    -0.07   -2559.00     0.17
 36  12.8770  60814.63    -0.11   -2559.32    -0.09
 37  12.8771  60814.08    -0.12   -2559.38    -0.10
 38  12.8771  60813.57    -0.08   -2559.31     0.02
 39  12.9535  59304.36    -0.19   -2627.70    -0.06
 40  12.9535  59303.49    -0.18   -2627.69    -0.02
 41  12.9535  59302.73    -0.07   -2627.74    -0.05
 42  12.9536  59301.81    -0.12   -2627.79    -0.07
 43  12.9754  58755.50     0.09   -2635.94    -0.04
 44  12.9754  58754.52     0.14   -2636.17    -0.25
 45  12.9755  58753.57     0.21   -2635.99    -0.06
 46  12.9781  58684.45     0.30   -2636.57    -0.01
 47  12.9782  58683.29     0.14   -2636.71    -0.13
 48  12.9782  58682.02    -0.12   -2636.58     0.02
 49  12.9783  58681.29     0.15   -2636.22     0.39
 50  13.0492  56785.88     0.09   -2624.98     0.05
 51  13.0493  56784.89     0.13   -2624.88     0.14
 52  13.0493  56783.78     0.04   -2624.90     0.10
 53  13.0493  56782.68    -0.05   -2624.82     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.

13XB26    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        45.583    45.592    45.573
ecceobj         0.005     0.005     0.005
incobj          3.581     3.581     3.581
qmin           44.617    44.602    44.591
qmax           47.076    47.049    47.040
amean          45.752    45.761    45.743
amin           45.395    45.409    45.389
amax           46.119    46.118    46.105
emean           0.009     0.009     0.009
emin            0.000     0.000     0.000
emax            0.021     0.021     0.021
imean           5.198     5.198     5.199
imin            4.830     4.832     4.829
imax            5.549     5.550     5.552
excite_mean     0.091     0.091     0.091
fracstop        1.000     1.000     1.000
cjmean          3.113     3.113     3.113

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       176.1     176.0     175.9
kozaiamp        179.9     180.0     180.0