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 Mon Oct 23 01:38:13 2017
# Orbit generated from Bernstein formalism
# Fitting   22 observations of   22
# Arc:   3.96y
# First observation: 2010/01/10
#  Last observation: 2013/12/25
Preliminary a, adot, b, bdot, g, gdot:
   0.000046   0.035057   0.000002   0.000861   0.030154   0.000000
# Chi-squared of fit:     8.34 DOF:   38 RMS:  0.11
# Min/Max residuals:    -0.25    0.27
# Exact a, adot, b, bdot, g, gdot:
  1.858380E-05  3.503034E-02 -4.919997E-09  8.672083E-04  2.979799E-02  5.280603E-04
# Covariance matrix:
  3.9104E-13 -2.7998E-13  2.6036E-15 -4.8797E-15  1.3740E-14 -1.4035E-12
 -2.7998E-13  7.4037E-13 -8.8461E-15  1.6805E-14  1.0682E-12  5.4226E-12
  2.6036E-15 -8.8461E-15  2.8347E-13 -9.8102E-14 -1.2159E-14 -6.8833E-14
 -4.8797E-15  1.6805E-14 -9.8102E-14  4.4617E-14  2.3423E-14  1.3078E-13
  1.3740E-14  1.0682E-12 -1.2159E-14  2.3423E-14  3.0698E-12  8.3929E-12
 -1.4035E-12  5.4226E-12 -6.8833E-14  1.3078E-13  8.3929E-12  4.2242E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -6.643609  116.147581    0.104948   -0.113583   -0.975295  2455206.907506
# Heliocentric elements and errors
Epoch:              2455200.5000  =  2010/01/04
Mean Anomaly:            2.83320 +/-     0.041
Argument of Peri:      277.77957 +/-     0.064
Long of Asc Node:      193.67532 +/-     0.003
Inclination:             6.60615 +/-     0.000
Eccentricity:         0.20653562 +/-    0.0002
Semi-Major Axis:     43.49663418 +/-    0.0117
Time of Perihelion: 2454375.8751 +/-      11.9
Perihelion:          34.51303003 +/-    0.0117
Aphelion:            52.48023832 +/-    0.0158
Period (y)              286.8743 +/-      0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -15.02504613 +/-    0.0009
Ecliptic Y           30.84712421 +/-    0.0018
Ecliptic Z           -3.88260321 +/-    0.0002
Ecliptic XDOT        -0.00291161 +/-    0.0000
Ecliptic YDOT        -0.00136128 +/-    0.0000
Ecliptic ZDOT         0.00007346 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   34.53073546 +/-    0.0016
Geocenter to KBO     33.55930588 +/-    0.0020
# Hcoef:  6.95

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.

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     0.00       0.00     0.10
  2   0.0000     -0.72    -0.02      -0.16    -0.06
  3   0.0413  -1319.36    -0.05      11.28     0.03
  4   1.0353   6090.07     0.22     185.94    -0.25
  5   1.0433   5834.12    -0.07     192.80     0.11
  6   1.0433   5833.23     0.04     192.71    -0.01
  7   1.0515   5577.29     0.03     201.26     0.11
  8   2.0127  14044.30     0.01     357.50    -0.10
  9   2.0127  14043.03    -0.14     357.65     0.06
 10   2.0291  13518.70    -0.12     362.14    -0.01
 11   3.0201  21068.78     0.25     538.19     0.05
 12   3.0201  21067.20     0.04     538.27     0.12
 13   3.0202  21065.90     0.12     538.14    -0.01
 14   3.0202  21064.39    -0.01     538.17     0.01
 15   3.0310  20716.48    -0.20     542.61     0.00
 16   3.0310  20715.46    -0.06     542.51    -0.11
 17   3.0856  19000.96    -0.01     614.29    -0.08
 18   3.0856  18999.63    -0.06     614.53     0.08
 19   3.0857  18998.45     0.04     614.46    -0.07
 20   3.0857  18997.13     0.00     614.55    -0.05
 21   3.9567  30281.28     0.09     756.91    -0.19
 22   3.9568  30280.17    -0.11     757.32     0.27

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        43.895    43.929    43.860
ecceobj         0.213     0.213     0.212
incobj          6.601     6.601     6.601
qmin           34.045    34.054    34.028
qmax           53.869    53.877    53.948
amean          43.727    43.727    43.727
amin           43.300    43.271    43.278
amax           44.242    44.211    44.267
emean           0.164     0.160     0.192
emin            0.119     0.101     0.162
emax            0.219     0.219     0.220
imean           9.642     9.577     8.383
imin            6.665     6.667     6.662
imax           11.757    12.282     9.955
excite_mean     0.236     0.233     0.242
fracstop        1.000     1.000     1.000
cjmean          3.031     3.033     3.028

libcent 0       182.5     182.6     180.9
libamp  0       100.3     123.1      95.8
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       267.7     267.0     269.1
kozaiamp         37.7      48.2      22.0