Orbit Fit and Astrometric record for 10KZ39

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: 10KZ39    
# Created Sat Apr 19 01:40:37 2014
# Orbit generated from Bernstein formalism
# Fitting   28 observations of   28
# Arc:   1.83y
# First observation: 2010/05/21
#  Last observation: 2012/03/20
Preliminary a, adot, b, bdot, g, gdot:
  -0.000004   0.017980  -0.000021  -0.008399   0.021730   0.000000
# Chi-squared of fit:    44.34 DOF:   50 RMS:  0.22
# Min/Max residuals:    -0.57    0.58
# Exact a, adot, b, bdot, g, gdot:
  1.529771E-05  1.813923E-02 -7.746774E-06 -8.498688E-03  2.202071E-02 -8.733344E-04
# Covariance matrix:
  2.8984E-13 -4.8498E-13  6.2440E-15 -3.5928E-14  7.7861E-13 -1.8229E-13
 -4.8498E-13  1.6677E-12  1.2937E-14 -1.8137E-13 -1.3070E-12  1.8228E-11
  6.2440E-15  1.2937E-14  1.0936E-13 -8.1398E-14  4.7284E-14  7.6433E-13
 -3.5928E-14 -1.8137E-13 -8.1398E-14  2.0332E-13 -3.5279E-13 -7.4244E-12
  7.7861E-13 -1.3070E-12  4.7284E-14 -3.5279E-13  3.6920E-12  1.2663E-11
 -1.8229E-13  1.8228E-11  7.6433E-13 -7.4244E-12  1.2663E-11  5.0426E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   -7.416964 -111.554313    0.156312   -0.129135   -0.991794  2455337.615016
# Heliocentric elements and errors
Epoch:              2455330.5000  =  2010/05/14
Mean Anomaly:          245.94158 +/-     0.640
Argument of Peri:      316.42643 +/-     0.609
Long of Asc Node:       53.19648 +/-     0.001
Inclination:            26.10994 +/-     0.002
Eccentricity:         0.05620407 +/-    0.0010
Semi-Major Axis:     45.25347004 +/-    0.0187
Time of Perihelion: 2490559.5648 +/-     196.5
Perihelion:          42.71004063 +/-    0.0472
Aphelion:            47.79689946 +/-    0.0481
Period (y)              304.4290 +/-      0.19
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -17.05202421 +/-    0.0015
Ecliptic Y          -42.75787160 +/-    0.0036
Ecliptic Z           -5.86250878 +/-    0.0005
Ecliptic XDOT         0.00218887 +/-    0.0000
Ecliptic YDOT        -0.00059554 +/-    0.0000
Ecliptic ZDOT        -0.00103383 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   46.40448386 +/-    0.0034
Geocenter to KBO     45.41179782 +/-    0.0040
# Hcoef:  3.94

The following table shows the complete astrometric record for 10KZ39. 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 (10KZ39) followed by the observatory code and reference code for the source of the astrometry.

2010 05  21.11425  16 21 30.197  -29 01 56.15        10KZ39    304  C~0I3z      
2010 05  21.18206  16 21 29.894  -29 01 55.96        10KZ39    304  C~0I3z      
2010 05  23.21814  16 21 19.580  -29 01 46.43  20.2R 10KZ39    304  C~0I3z      
2010 05  23.27052  16 21 19.325  -29 01 46.17        10KZ39    304  C~0I3z      
2010 05  23.32313  16 21 19.048  -29 01 45.87        10KZ39    304  C~0I3z      
2010 06  05.08738  16 20 14.276  -29 00 24.75        10KZ39    304  C~0IRz      
2010 06  05.15706  16 20 13.942  -29 00 23.98        10KZ39    304  C~0IRz      
2010 06  05.21869  16 20 13.646  -29 00 23.70        10KZ39    304  C~0IRz      
2010 06  08.62734  16 19 56.540  -28 59 57.28  20.2R 10KZ39    E10  C~0IRz      
2010 06  08.64014  16 19 56.475  -28 59 57.12  20.3R 10KZ39    E10  C~0IRz      
2010 06  08.65818  16 19 56.393  -28 59 57.02  19.7R 10KZ39    E10  C~0IRz      
2010 06  15.50253  16 19 22.83   -28 58 59.8   21.0V 10KZ39    F65  C~0Jas      
2010 06  16.40770  16 19 18.46   -28 58 51.6   20.4R 10KZ39    F65  C~0Jas      
2011 05  03.16532  16 27 18.670  -29 41 29.72  20.0R 10KZ39    304  C~0WGM      
2011 05  03.25269  16 27 18.288  -29 41 29.75        10KZ39    304  C~0WGM      
2011 05  03.35027  16 27 17.845  -29 41 29.92        10KZ39    304  C~0WGM      
2011 05  12.10452  16 26 36.708  -29 41 23.50  20.1R 10KZ39    304  C~0WGM      
2011 05  12.17048  16 26 36.388  -29 41 23.45        10KZ39    304  C~0WGM      
2011 05  12.23944  16 26 36.071  -29 41 23.42        10KZ39    304  C~0WGM      
2012 03  18.21466  16 33 55.14   -30 13 57.5   20.8R 10KZ39    304  C~0ger      
2012 03  18.34579  16 33 55.00   -30 13 59.3         10KZ39    304  C~0ger      
2012 03  18.41737  16 33 54.92   -30 14 00.3         10KZ39    304  C~0ger      
2012 03  19.21843  16 33 54.10   -30 14 11.0         10KZ39    304  C~0ger      
2012 03  19.34123  16 33 53.96   -30 14 12.6         10KZ39    304  C~0ger      
2012 03  19.41778  16 33 53.86   -30 14 13.6         10KZ39    304  C~0ger      
2012 03  20.18933  16 33 52.99   -30 14 23.8         10KZ39    304  C~0ger      
2012 03  20.30113  16 33 52.86   -30 14 25.3         10KZ39    304  C~0ger      
2012 03  20.35278  16 33 52.79   -30 14 25.9         10KZ39    304  C~0ger      

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    -0.47       0.00     0.34
  2   0.0002     -3.95     0.12      -0.48     0.32
  3   0.0058   -138.91    -0.12     -13.72    -0.23
  4   0.0059   -142.25     0.07     -14.02    -0.21
  5   0.0060   -145.88    -0.03     -14.33    -0.21
  6   0.0410   -997.01    -0.30     -77.66    -0.19
  7   0.0412  -1001.46    -0.06     -77.65     0.11
  8   0.0414  -1005.34     0.23     -78.03    -0.02
  9   0.0507  -1230.98     0.02     -90.17     0.04
 10   0.0507  -1231.85     0.01     -90.16     0.10
 11   0.0508  -1232.92     0.14     -90.24     0.07
 12   0.0695  -1676.61     0.41    -109.16    -0.07
 13   0.0720  -1734.51    -0.04    -110.92     0.06
 14   0.9502   4879.33     0.27   -1609.30    -0.30
 15   0.9504   4874.42     0.50   -1610.10    -0.23
 16   0.9507   4868.74     0.58   -1611.16    -0.35
 17   0.9746   4337.95    -0.57   -1688.22     0.26
 18   0.9748   4333.82    -0.51   -1688.82     0.23
 19   0.9750   4329.74    -0.20   -1689.44     0.19
 20   1.8264  10270.92     0.04   -2776.22    -0.01
 21   1.8268  10269.38     0.01   -2778.25     0.01
 22   1.8270  10268.49    -0.02   -2779.39    -0.02
 23   1.8292  10259.45     0.05   -2791.49    -0.02
 24   1.8295  10257.88     0.06   -2793.34     0.06
 25   1.8297  10256.73    -0.07   -2794.51     0.06
 26   1.8318  10246.99    -0.08   -2806.21    -0.04
 27   1.8321  10245.53     0.03   -2807.93    -0.01
 28   1.8323  10244.71    -0.04   -2808.65     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.

10KZ39    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        44.984    44.984    44.984
ecceobj         0.059     0.059     0.059
incobj         26.175    26.175    26.175
qmin           42.124    42.117    42.111
qmax           48.607    48.611    48.618
amean          45.251    45.251    45.251
amin           44.902    44.900    44.914
amax           45.618    45.617    45.604
emean           0.055     0.055     0.055
emin            0.045     0.045     0.045
emax            0.066     0.066     0.066
imean          25.051    25.051    25.051
imin           24.809    24.810    24.809
imax           25.314    25.315    25.313
excite_mean     0.427     0.427     0.427
fracstop        1.000     1.000     1.000
cjmean          2.884     2.884     2.884

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       169.0     169.0     168.9
kozaiamp        180.0     180.0     180.0