Orbit Fit and Astrometric record for 13BN82

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: 13BN82    
# Created Wed Jul 18 01:38:10 2018
# Orbit generated from Bernstein formalism
# Fitting   25 observations of   25
# Arc:   7.08y
# First observation: 2006/11/25
#  Last observation: 2013/12/25
Preliminary a, adot, b, bdot, g, gdot:
  -0.000061   0.035657   0.000023   0.000517   0.031765   0.000000
# Chi-squared of fit:     9.71 DOF:   44 RMS:  0.11
# Min/Max residuals:    -0.31    0.33
# Exact a, adot, b, bdot, g, gdot:
  1.873176E-05  3.473610E-02 -8.042038E-08  5.100009E-04  2.953438E-02  5.248219E-04
# Covariance matrix:
  4.7405E-13 -2.3211E-13  5.6998E-16 -2.4132E-15 -1.6307E-13 -6.8355E-13
 -2.3211E-13  5.7962E-13  6.3484E-15  9.4905E-15  1.1548E-12  2.0003E-12
  5.6998E-16  6.3484E-15  3.5478E-13 -6.2856E-14  1.9452E-14  1.9341E-14
 -2.4132E-15  9.4905E-15 -6.2856E-14  1.3474E-14  2.0464E-14  3.2996E-14
 -1.6307E-13  1.1548E-12  1.9452E-14  2.0464E-14  2.8346E-12  3.8517E-12
 -6.8355E-13  2.0003E-12  1.9341E-14  3.2996E-14  3.8517E-12  7.1731E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -6.696119  111.064170    0.738846   -0.077045   -0.657178  2454064.953210
# Heliocentric elements and errors
Epoch:              2454060.5000  =  2006/11/21
Mean Anomaly:          358.29557 +/-     0.015
Argument of Peri:      278.57619 +/-     0.024
Long of Asc Node:      193.85376 +/-     0.002
Inclination:             6.60275 +/-     0.000
Eccentricity:         0.20775881 +/-    0.0002
Semi-Major Axis:     43.56612178 +/-    0.0111
Time of Perihelion: 2454557.7783 +/-       4.5
Perihelion:          34.51487613 +/-    0.0112
Aphelion:            52.61736743 +/-    0.0151
Period (y)              287.5620 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -11.63778711 +/-    0.0007
Ecliptic Y           32.25963312 +/-    0.0018
Ecliptic Z           -3.94806387 +/-    0.0002
Ecliptic XDOT        -0.00301908 +/-    0.0000
Ecliptic YDOT        -0.00111131 +/-    0.0000
Ecliptic ZDOT         0.00004122 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   34.52114172 +/-    0.0017
Geocenter to KBO     33.85884042 +/-    0.0019
# Hcoef:  6.92

The following table shows the complete astrometric record for 13BN82. 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 (13BN82) followed by the observatory code and reference code for the source of the astrometry.

2006 11  25.452456 07 26 49.52   +15 10 11.9   21.7V 13BN82    645  C~2aHj      
2006 11  25.453285 07 26 49.52   +15 10 11.9         13BN82    645  C~2aHj      
2006 11  25.455773 07 26 49.51   +15 10 11.9         13BN82    645  C~2aHj      
2010 01  10.40674  07 47 27.816  +14 23 24.94  22.2r 13BN82    F51  C~1w3t      
2010 01  10.41466  07 47 27.765  +14 23 24.91  22.0r 13BN82    F51  C~1w3t      
2010 01  25.50542  07 45 58.623  +14 27 33.75  21.9r 13BN82    F51  C~1w3t      
2011 01  23.53637  07 54 21.768  +14 07 43.55  21.7i 13BN82    F51  C~1w3t      
2011 01  26.47703  07 54 04.589  +14 08 38.40  22.2r 13BN82    F51  C~1w3t      
2011 01  26.48831  07 54 04.528  +14 08 38.47  22.4r 13BN82    F51  C~1w3t      
2011 01  29.45957  07 53 47.368  +14 09 34.90  22.3g 13BN82    F51  C~1w3t      
2012 01  15.54379  08 03 18.808  +13 45 00.89  21.9i 13BN82    F51  C~1w3t      
2012 01  15.55649  08 03 18.725  +13 45 01.29  21.6i 13BN82    F51  C~1w3t      
2012 01  21.52692  08 02 43.661  +13 46 48.65  22.0r 13BN82    F51  C~1w3t      
2013 01  17.48585  08 11 09.739  +13 24 31.86  22.4w 13BN82    F51  C~1w3t      
2013 01  17.50122  08 11 09.635  +13 24 32.26  22.0w 13BN82    F51  C~1w3t      
2013 01  17.51664  08 11 09.547  +13 24 32.40  21.9w 13BN82    F51  C~1w3t      
2013 01  17.53209  08 11 09.447  +13 24 32.73  22.0w 13BN82    F51  C~1w3t      
2013 01  21.47458  08 10 46.409  +13 25 47.76  21.5i 13BN82    F51  C~1w3t      
2013 01  21.48750  08 10 46.340  +13 25 47.87  21.3i 13BN82    F51  C~1w3t      
2013 02  10.41634  08 08 53.331  +13 32 44.68  21.8w 13BN82    F51  C~1w3t      
2013 02  10.43173  08 08 53.246  +13 32 45.18  21.9w 13BN82    F51  C~1w3t      
2013 02  10.44719  08 08 53.166  +13 32 45.35  22.0w 13BN82    F51  C~1w3t      
2013 02  10.46262  08 08 53.080  +13 32 45.71  22.0w 13BN82    F51  C~1w3t      
2013 12  25.60872  08 21 19.988  +12 56 14.39  21.4i 13BN82    F51  C~1w3t      
2013 12  25.62067  08 21 19.922  +12 56 15.02  21.5i 13BN82    F51  C~1w3t      

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     0.07
  2   0.0000      0.00     0.02       0.00     0.08
  3   0.0000     -0.14     0.01      -0.02     0.08
  4   3.1265  18224.27     0.01      95.44     0.00
  5   3.1265  18223.54    -0.02      95.28    -0.15
  6   3.1678  16895.55    -0.05     120.38    -0.06
  7   4.1618  24379.56     0.22     219.50    -0.31
  8   4.1698  24120.37    -0.07     229.05     0.06
  9   4.1698  24119.47     0.04     228.96    -0.07
 10   4.1780  23860.37     0.04     240.20     0.06
 11   5.1392  32466.88     0.00     310.51    -0.12
 12   5.1392  32465.59    -0.14     310.68     0.04
 13   5.1556  31930.95    -0.13     320.62    -0.02
 14   6.1466  39655.47     0.25     420.97     0.07
 15   6.1466  39653.85     0.04     421.07     0.14
 16   6.1467  39652.51     0.12     420.96     0.01
 17   6.1467  39650.96    -0.01     421.00     0.03
 18   6.1575  39294.04    -0.21     429.08     0.02
 19   6.1575  39292.99    -0.06     428.99    -0.09
 20   6.2121  37536.18    -0.00     519.24    -0.06
 21   6.2121  37534.82    -0.05     519.49     0.10
 22   6.2122  37533.61     0.04     519.43    -0.05
 23   6.2122  37532.26     0.01     519.55    -0.03
 24   7.0832  49149.44     0.09     548.29    -0.14
 25   7.0833  49148.30    -0.11     548.72     0.33

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.

13BN82    quality flag:3

Type:         7:4EEE    7:4EEE    7:4EEE

axisobj        43.891    43.924    43.858
ecceobj         0.213     0.213     0.212
incobj          6.601     6.601     6.601
qmin           34.044    34.054    34.028
qmax           53.873    53.874    53.930
amean          43.727    43.727    43.727
amin           43.303    43.270    43.244
amax           44.242    44.209    44.239
emean           0.166     0.158     0.194
emin            0.124     0.103     0.162
emax            0.219     0.219     0.221
imean           9.619     9.680     8.211
imin            6.665     6.667     6.662
imax           11.615    12.277    10.002
excite_mean     0.237     0.233     0.242
fracstop        1.000     1.000     1.000
cjmean          3.031     3.033     3.028

libcent 0       183.1     183.7     179.7
libamp  0       100.1     123.6      96.8
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       267.8     266.8     270.5
kozaiamp         35.8      47.6      22.4