Orbit Fit and Astrometric record for 13BL76

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: 13BL76    
# Created Wed Dec 13 02:37:51 2017
# Orbit generated from Bernstein formalism
# Fitting   57 observations of   70
# Arc:   1.88y
# First observation: 2012/10/07
#  Last observation: 2014/08/25
Preliminary a, adot, b, bdot, g, gdot:
   0.002953  -0.058706   0.032199  -0.455075   0.123559   0.000000
# Chi-squared of fit:    76.23 DOF:  108 RMS:  0.20
# Min/Max residuals:    -0.71    0.49
# Exact a, adot, b, bdot, g, gdot:
 -7.275814E-06 -6.071695E-02 -4.766056E-05 -4.074426E-01  1.344746E-01 -1.591616E-02
# Covariance matrix:
  9.1409E-14 -8.0586E-14  1.1158E-14 -2.5609E-14  3.8025E-14  2.2804E-14
 -8.0586E-14  1.0590E-13 -2.6294E-14  6.7507E-14 -6.9433E-14 -6.5021E-14
  1.1158E-14 -2.6294E-14  1.4499E-13 -2.7546E-13  4.3440E-14  2.3929E-13
 -2.5609E-14  6.7507E-14 -2.7546E-13  7.8862E-13 -1.1243E-13 -8.0000E-13
  3.8025E-14 -6.9433E-14  4.3440E-14 -1.1243E-13  1.1217E-13  1.0884E-13
  2.2804E-14 -6.5021E-14  2.3929E-13 -8.0000E-13  1.0884E-13  8.8431E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   16.812580    0.851147   -0.228693    0.280714   -0.928986  2456207.767771
# Heliocentric elements and errors
Epoch:              2456200.5000  =  2012/09/30
Mean Anomaly:          359.99933 +/-     0.000
Argument of Peri:      166.10735 +/-     0.000
Long of Asc Node:      180.19301 +/-     0.000
Inclination:            98.56327 +/-     0.000
Eccentricity:         0.99288168 +/-    0.0000
Semi-Major Axis:   1176.42512786 +/-    2.1986
Time of Perihelion: 2456227.9454 +/-       0.0
Perihelion:           8.37416855 +/-    0.0221
Aphelion:          2344.47608716 +/-    4.3815
Period (y)            40351.0315 +/-    113.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            8.08657687 +/-    0.0000
Ecliptic Y            0.35107781 +/-    0.0000
Ecliptic Z            2.15058177 +/-    0.0000
Ecliptic XDOT         0.00210138 +/-    0.0000
Ecliptic YDOT        -0.00120275 +/-    0.0000
Ecliptic ZDOT        -0.00803439 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    8.37502137 +/-    0.0000
Geocenter to KBO      7.43634643 +/-    0.0000
# Hcoef: 10.83

The following table shows the complete astrometric record for 13BL76. 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 (13BL76) followed by the observatory code and reference code for the source of the astrometry.

2012 10  07.266993 23 35 40.012  +15 43 32.18  20.0w 13BL76    F51  c~0oSJ      
2012 10  07.280424 23 35 39.687  +15 43 26.25  20.0w 13BL76    F51  c~0oSJ      
2012 10  07.296547 23 35 39.295  +15 43 19.00  20.1w 13BL76    F51  c~0oSJ      
2012 10  07.309952 23 35 38.973  +15 43 13.08  20.1w 13BL76    F51  c~0oSJ      
2012 11  01.242053 23 27 24.883  +12 38 03.01  20.2r 13BL76    F51  c~0oSJ      
2012 11  01.253436 23 27 24.707  +12 37 58.13  20.2r 13BL76    F51  c~0oSJ      
2012 11  01.366148 23 27 22.961  +12 37 09.39  20.1i 13BL76    F51  c~0oSJ      
2012 11  01.378077 23 27 22.779  +12 37 04.25  19.8i 13BL76    F51  c~0oSJ      
2013 01  20.08006  23 31 33.31   +06 06 25.5   20.5V 13BL76    G96  C~0oSJ      
2013 01  20.08576  23 31 33.38   +06 06 25.0   21.4V 13BL76    G96  C~0oSJ      
2013 01  20.09162  23 31 33.49   +06 06 24.0   20.7V 13BL76    G96  C~0oSJ      
2013 01  20.09748  23 31 33.56   +06 06 23.2   20.8V 13BL76    G96  C~0oSJ      
2013 01  22.08162  23 32 11.43   +06 01 48.5   20.5V 13BL76    G96  C~0oSJ      
2013 01  22.08475  23 32 11.47   +06 01 48.5   20.1R 13BL76    291  C~0oSJ      
2013 01  22.08601  23 32 11.50   +06 01 48.1   20.4V 13BL76    G96  C~0oSJ      
2013 01  22.09040  23 32 11.61   +06 01 47.6   20.2V 13BL76    G96  C~0oSJ      
2013 01  22.09478  23 32 11.65   +06 01 46.8   20.6V 13BL76    G96  C~0oSJ      
2013 01  22.09911  23 32 11.72   +06 01 46.2   20.4V 13BL76    G96  C~0oSJ      
2013 01  22.10999  23 32 11.96   +06 01 44.9   20.2R 13BL76    291  C~0oSJ      
2013 01  30.75227  23 35 08.45   +05 44 13.1         13BL76    204  C~0oSJ      
2013 01  30.76779  23 35 08.68   +05 44 10.9   20.0R 13BL76    204  C~0oSJ      
2013 01  31.066178 23 35 15.18   +05 43 38.3   20.4R 13BL76    711  C~0oSJ      
2013 01  31.073065 23 35 15.29   +05 43 36.9   20.6R 13BL76    711  C~0oSJ      
2013 01  31.07821  23 35 15.49   +05 43 37.9         13BL76    H06  C~0oSJ      
2013 01  31.07906  23 35 15.53   +05 43 37.3   20.7V 13BL76    H06  C~0oSJ      
2013 01  31.079950 23 35 15.46   +05 43 37.2   20.3R 13BL76    711  C~0oSJ      
2013 01  31.09508  23 35 15.79   +05 43 35.3   19.2R 13BL76    291  C~0oSJ      
2013 01  31.10675  23 35 15.99   +05 43 33.6   19.6R 13BL76    291  C~0oSJ      
2013 02  02.217006 23 36 01.894  +05 39 52.12  20.1R 13BL76    568  C~0oSJ      
2013 02  02.217958 23 36 01.918  +05 39 52.02  19.9R 13BL76    568  C~0oSJ      
2013 02  02.218906 23 36 01.938  +05 39 51.91  20.2R 13BL76    568  C~0oSJ      
2013 02  02.221535 23 36 01.995  +05 39 51.66  20.2R 13BL76    568  C~0oSJ      
2013 06  19.41511  00 25 07.07   +03 16 28.0   20.6V 13BL76    H06  C~0tQo      
2013 06  19.41838  00 25 07.10   +03 16 27.0   20.6V 13BL76    H06  C~0tQo      
2013 06  19.42165  00 25 07.10   +03 16 26.9   19.5V 13BL76    H06  C~0tQo      
2013 06  20.42272  00 25 14.09   +03 13 39.7   19.6V 13BL76    H06  C~0tQo      
2013 06  20.42627  00 25 14.13   +03 13 38.6   19.6V 13BL76    H06  C~0tQo      
2013 07  03.74250  00 26 07.41   +02 31 24.3         13BL76    Q62  C~0t6G      
2013 07  03.74509  00 26 07.41   +02 31 23.7         13BL76    Q62  C~0t6G      
2013 07  03.74767  00 26 07.40   +02 31 23.2   20.6V 13BL76    Q62  C~0t6G      
2013 08  15.44828  00 20 26.03   -00 55 06.8   20.4r 13BL76    I41  C~0tbl      
2013 08  15.48548  00 20 25.40   -00 55 20.2   20.0r 13BL76    I41  C~0tbl      
2013 08  16.38677  00 20 10.14   -01 00 45.8   20.3r 13BL76    I41  C~0tbl      
2013 08  16.44284  00 20 09.17   -01 01 06.2   20.2r 13BL76    I41  C~0tbl      
2013 08  16.47999  00 20 08.51   -01 01 19.7   20.3r 13BL76    I41  C~0tbl      
2013 09  11.72976  00 10 56.62   -03 51 01.6   19.9V 13BL76    Q62  C~0xS0      
2013 09  11.73204  00 10 56.56   -03 51 02.7   19.9V 13BL76    Q62  C~0xS0      
2013 09  11.73432  00 10 56.50   -03 51 03.8   19.9V 13BL76    Q62  C~0xS0      
2013 10  21.31804  23 55 17.635  -08 02 03.39  20.1r 13BL76    F51  C~0vrY      
2013 10  21.32850  23 55 17.411  -08 02 06.73  20.3r 13BL76    F51  C~0vrY      
2013 10  21.34000  23 55 17.175  -08 02 10.62  20.0i 13BL76    F51  C~0vrY      
2013 10  21.35162  23 55 16.932  -08 02 14.55  20.1i 13BL76    F51  C~0vrY      
2013 11  09.09717  23 49 48.29   -09 35 27.3   19.9V 13BL76    G96  C~0x7m      
2013 11  09.10494  23 49 48.14   -09 35 29.7   20.0V 13BL76    G96  C~0x7m      
2013 11  09.11272  23 49 48.03   -09 35 32.2   20.2V 13BL76    G96  C~0x7m      
2013 11  09.12052  23 49 47.93   -09 35 33.6   20.7V 13BL76    G96  C~0x7m      
2013 11  23.24596  23 47 13.367  -10 30 12.79  20.4r 13BL76    F51  C~0xS0      
2013 11  23.25960  23 47 13.252  -10 30 15.54  20.2i 13BL76    F51  C~0xS0      
2013 11  23.27233  23 47 13.137  -10 30 17.96  20.3i 13BL76    F51  C~0xS0      
2014 07  30.79330  00 45 20.13   -19 01 27.0         13BL76    Q62  C~17UL      
2014 07  30.79851  00 45 20.07   -19 01 28.9         13BL76    Q62  C~17UL      
2014 07  30.80372  00 45 19.99   -19 01 31.1   20.6w 13BL76    Q62  C~17UL      
2014 08  05.57172  00 44 28.001  -19 39 11.95  20.9w 13BL76    F51  C~175u      
2014 08  05.58162  00 44 27.885  -19 39 15.95  20.8w 13BL76    F51  C~175u      
2014 08  05.59149  00 44 27.780  -19 39 19.75  20.9w 13BL76    F51  C~175u      
2014 08  05.60137  00 44 27.683  -19 39 23.61  20.9w 13BL76    F51  C~175u      
2014 08  25.50224  00 39 43.636  -21 53 39.40  20.7w 13BL76    F51  C~17mC      
2014 08  25.51283  00 39 43.439  -21 53 43.63  20.7w 13BL76    F51  C~17mC      
2014 08  25.52342  00 39 43.238  -21 53 48.12  20.7w 13BL76    F51  C~17mC      
2014 08  25.53400  00 39 43.047  -21 53 52.30  20.7w 13BL76    F51  C~17mC      

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     0.03       0.00    -0.05
  2   0.0000     -6.72     0.04      -3.46    -0.01
  3   0.0001    -14.87    -0.02      -7.72    -0.07
  4   0.0001    -21.55     0.03     -11.19    -0.04
  5   0.0684 -11202.93    -0.05   -7118.40    -0.02
  6   0.0684 -11207.34    -0.03   -7121.76     0.01
  7   0.0687 -11251.23    -0.06   -7155.33     0.05
  8   0.0688 -11255.83    -0.02   -7158.88     0.06
  9   0.2870 -17841.01     0.22  -30286.56    -0.37
 10   0.2870 -17840.26    -0.14  -30287.46     0.14
 11   0.2870 -17839.18    -0.19  -30289.09    -0.03
 12   0.2870 -17838.56    -0.71  -30290.28     0.25
 13   0.2924 -17435.02     0.20  -30784.93    -0.18
 14   0.2925 -17434.47     0.10  -30785.18     0.33
 15   0.2925 -17434.22     0.09  -30785.74     0.09
 16   0.2925 -17432.92     0.49  -30786.90     0.01
 17   0.2925 -17432.72    -0.20  -30787.90     0.09
 18   0.2925 -17432.01    -0.38  -30788.90     0.16
 19   0.2925 -17429.26     0.13  -30791.62     0.12
 20   0.3162 -15446.18 (   1.24) -32883.94 (   0.82)
 21   0.3162 -15443.95 (  -0.36) -32887.45 (   0.98)
 22   0.3170 -15368.15 (   0.81) -32958.77 (  -0.04)
 23   0.3171 -15367.23     0.02  -32960.77    -0.42
 24   0.3171 -15364.05 (   1.92) -32961.09 (   0.51)
 25   0.3171 -15363.75 (   2.00) -32961.90 (  -0.10)
 26   0.3171 -15364.76 (   0.79) -32961.56 (   0.41)
 27   0.3171 -15361.02 (   0.72) -32965.41 (   0.16)
 28   0.3172 -15358.98    -0.14  -32968.26     0.06
 29   0.3229 -14819.75    -0.06  -33463.76    -0.03
 30   0.3229 -14819.46    -0.01  -33464.01    -0.06
 31   0.3229 -14819.23    -0.03  -33464.23    -0.06
 32   0.3229 -14818.55    -0.02  -33464.83    -0.04
 33   0.6986  23379.20 (  -0.70) -60299.21 (   1.37)
 34   0.6986  23379.26 (  -0.77) -60300.40 (   0.86)
 35   0.6986  23379.22 (  -0.93) -60300.50 (   1.44)
 36   0.7013  23417.60     0.06  -60513.41    -0.08
 37   0.7013  23417.76     0.12  -60514.77    -0.70
 38   0.7378  23224.82     0.10  -63413.68     0.30
 39   0.7378  23224.59     0.05  -63414.28     0.27
 40   0.7378  23224.24    -0.11  -63414.72     0.40
 41   0.8547  13279.34    -0.08  -73816.37    -0.02
 42   0.8548  13264.60     0.06  -73825.99    -0.09
 43   0.8573  12906.96     0.00  -74060.07     0.04
 44   0.8574  12884.34     0.17  -74074.64    -0.12
 45   0.8575  12869.10     0.04  -74084.17    -0.09
 46   0.9294    482.42 (   0.22) -80971.66 (   0.81)
 47   0.9294    481.06 (   0.07) -80972.41 (   0.65)
 48   0.9294    479.70    -0.08  -80973.16     0.49
 49   1.0378 -20122.39     0.01  -90718.50     0.03
 50   1.0378 -20127.27     0.03  -90720.62     0.22
 51   1.0378 -20132.60     0.11  -90723.27     0.11
 52   1.0379 -20138.04     0.12  -90725.92     0.03
 53   1.0892 -27693.70 (   0.76) -94669.31 (   0.15)
 54   1.0892 -27697.11     0.01  -94670.97     0.00
 55   1.0892 -27699.96    -0.20  -94673.02    -0.53
 56   1.0893 -27702.14     0.30  -94673.90     0.10
 57   1.1279 -31624.92     0.18  -97312.11    -0.28
 58   1.1280 -31628.01     0.15  -97314.44    -0.23
 59   1.1280 -31630.94     0.08  -97316.40     0.02
 60   1.8112   7147.07     0.38 -165367.85     0.01
 61   1.8112   7145.08     0.15 -165370.06     0.35
 62   1.8112   7142.59    -0.57 -165372.53     0.45
 63   1.8270   5078.89     0.06 -168226.78    -0.05
 64   1.8270   5074.82    -0.15 -168231.62    -0.06
 65   1.8270   5071.04    -0.08 -168236.28     0.11
 66   1.8271   5067.37     0.09 -168241.11     0.11
 67   1.8815  -4105.50    -0.03 -177764.82    -0.21
 68   1.8816  -4111.19    -0.01 -177769.49    -0.07
 69   1.8816  -4117.10    -0.20 -177774.52    -0.31
 70   1.8816  -4122.66    -0.06 -177779.16    -0.16

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.

13BL76    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj       846.420   845.968   846.873
ecceobj         0.990     0.990     0.990
incobj         98.676    98.676    98.676
qmin            0.385    -9.625     3.020
qmax         ********  ********  ********
amean        5104.693  2802.147  2284.471
amin          846.416   812.219   540.393
amax         9999.949  9940.735  7546.305
emean           0.997     0.995     0.995
emin            0.990     0.989     0.984
emax            1.000     1.001     0.999
imean          96.196    97.313    97.513
imin           23.305    31.781    45.234
imax          158.673   152.953   142.884
excite_mean     1.329     1.372     1.381
fracstop        0.852     0.754     0.331
cjmean         -0.195     0.000    -0.191

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       161.0     162.2     163.1
kozaiamp         20.2      15.1       8.1