Orbit Fit and Astrometric record for 12YO9

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: 12YO9     
# Created Thu Oct 19 01:38:11 2017
# Orbit generated from Bernstein formalism
# Fitting   23 observations of   23
# Arc:   6.22y
# First observation: 2008/10/30
#  Last observation: 2015/01/18
Preliminary a, adot, b, bdot, g, gdot:
  -0.000143   0.024051   0.000013   0.000454   0.025553   0.000000
# Chi-squared of fit:    10.17 DOF:   40 RMS:  0.12
# Min/Max residuals:    -0.25    0.28
# Exact a, adot, b, bdot, g, gdot:
  1.558662E-05  2.348289E-02  6.384309E-07  4.656218E-04  2.422859E-02 -3.967017E-03
# Covariance matrix:
  4.8831E-13 -1.9473E-13  1.9909E-15 -2.6004E-15 -9.0265E-14 -8.0058E-13
 -1.9473E-13  3.3549E-13 -6.6157E-15  8.4620E-15  1.9790E-13  2.3459E-12
  1.9909E-15 -6.6157E-15  4.4895E-13 -8.5565E-14 -4.6313E-16 -5.0642E-14
 -2.6004E-15  8.4620E-15 -8.5565E-14  1.9079E-14  1.2631E-15  6.4476E-14
 -9.0265E-14  1.9790E-13 -4.6313E-16  1.2631E-15  3.9682E-13  1.3441E-12
 -8.0058E-13  2.3459E-12 -5.0642E-14  6.4476E-14  1.3441E-12  1.7431E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -15.705656   33.069483   -0.075959   -0.268363   -0.954511  2454769.856891
# Heliocentric elements and errors
Epoch:              2454760.5000  =  2008/10/21
Mean Anomaly:          290.50813 +/-     0.020
Argument of Peri:        2.85527 +/-     0.023
Long of Asc Node:      118.42657 +/-     0.001
Inclination:            15.39206 +/-     0.000
Eccentricity:         0.16569009 +/-    0.0002
Semi-Major Axis:     43.63576345 +/-    0.0049
Time of Perihelion: 2475083.7787 +/-       4.7
Perihelion:          36.40574981 +/-    0.0089
Aphelion:            50.86577710 +/-    0.0098
Period (y)              288.2518 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           34.08716406 +/-    0.0009
Ecliptic Y           22.28085999 +/-    0.0006
Ecliptic Z          -11.17253890 +/-    0.0003
Ecliptic XDOT        -0.00179171 +/-    0.0000
Ecliptic YDOT         0.00199845 +/-    0.0000
Ecliptic ZDOT         0.00017188 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.22791850 +/-    0.0008
Geocenter to KBO     41.27354575 +/-    0.0011
# Hcoef:  8.01

The following table shows the complete astrometric record for 12YO9. 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 (12YO9) followed by the observatory code and reference code for the source of the astrometry.

2008 10  30.356137 02 24 38.93   -02 15 31.5   23.3V 12YO9     645  C~2FZx      
2008 10  30.356967 02 24 38.93   -02 15 31.5   23.2V 12YO9     645  C~2FZx      
2008 10  30.359454 02 24 38.92   -02 15 31.5   23.5V 12YO9     645  C~2FZx      
2012 12  17.140579 02 41 43.25   -00 28 09.6         12YO9     W84  C~1QeK      
2012 12  17.142951 02 41 43.22   -00 28 09.4         12YO9     W84  C~1QeK      
2013 09  28.247118 02 52 38.91   +00 24 42.6   23.9r 12YO9     W84  C~1QeK      
2013 09  28.249491 02 52 38.91   +00 24 42.5   23.2i 12YO9     W84  C~1QeK      
2013 09  28.253333 02 52 38.90   +00 24 42.3   23.3z 12YO9     W84  C~1QeK      
2013 10  10.166782 02 51 53.94   +00 18 58.9   24.2r 12YO9     W84  C~1QeK      
2013 10  10.169132 02 51 53.92   +00 18 59.0   23.7i 12YO9     W84  C~1QeK      
2013 10  10.172951 02 51 53.90   +00 18 58.8   23.4z 12YO9     W84  C~1QeK      
2013 11  06.093935 02 49 51.82   +00 07 51.6   24.3r 12YO9     W84  C~1QeK      
2013 11  06.096285 02 49 51.80   +00 07 51.5   23.6i 12YO9     W84  C~1QeK      
2013 11  06.100081 02 49 51.78   +00 07 51.4   23.6z 12YO9     W84  C~1QeK      
2013 11  13.088102 02 49 18.45   +00 05 40.8   23.9i 12YO9     W84  C~1QeK      
2013 11  13.091898 02 49 18.43   +00 05 40.5   23.7z 12YO9     W84  C~1QeK      
2013 12  10.047025 02 47 20.22   +00 01 10.8   23.7i 12YO9     W84  C~1QeK      
2013 12  10.050833 02 47 20.22   +00 01 10.7   23.9z 12YO9     W84  C~1QeK      
2014 11  19.195498 02 54 06.08   +00 33 51.5   23.8r 12YO9     W84  C~1QeK      
2014 11  19.197847 02 54 06.04   +00 33 51.3   22.9i 12YO9     W84  C~1QeK      
2014 11  19.201632 02 54 06.03   +00 33 51.3   23.2z 12YO9     W84  C~1QeK      
2015 01  18.116366 02 50 55.71   +00 36 28.9   24.0r 12YO9     W84  C~1QeK      
2015 01  18.122535 02 50 55.71   +00 36 28.9   23.8z 12YO9     W84  C~1QeK      

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    -0.07
  2   0.0000      0.00     0.01       0.00    -0.07
  3   0.0000     -0.14     0.05       0.05    -0.03
  4   4.1308  16666.20     0.15     932.88    -0.03
  5   4.1308  16665.84    -0.10     933.22     0.27
  6   4.9114  27113.73    -0.03     622.75     0.06
  7   4.9114  27113.70     0.08     622.66    -0.01
  8   4.9114  27113.49     0.10     622.52    -0.11
  9   4.9440  26350.35     0.11     524.31    -0.07
 10   4.9440  26350.10     0.02     524.51     0.14
 11   4.9441  26349.74    -0.08     524.42     0.08
 12   5.0178  24371.37     0.10     509.88     0.08
 13   5.0178  24371.04    -0.04     509.89     0.07
 14   5.0178  24370.72    -0.07     509.89     0.06
 15   5.0369  23848.91    -0.13     554.84     0.27
 16   5.0369  23848.52    -0.24     554.65     0.06
 17   5.1107  22065.88    -0.08     897.19    -0.01
 18   5.1107  22065.85     0.10     897.09    -0.17
 19   6.0529  28555.42     0.28     702.30    -0.05
 20   6.0530  28554.77    -0.19     702.31    -0.06
 21   6.0530  28554.63    -0.05     702.37    -0.05
 22   6.2170  25872.51     0.00    1816.51    -0.10
 23   6.2170  25872.51     0.04    1816.51    -0.25

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.

12YO9    quality flag:3

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

axisobj        44.037    44.052    44.023
ecceobj         0.168     0.169     0.168
incobj         15.387    15.387    15.387
qmin           31.905    31.424    32.774
qmax           56.031    56.605    55.128
amean          43.726    43.726    43.726
amin           43.307    43.303    43.285
amax           44.220    44.230    44.217
emean           0.229     0.241     0.210
emin            0.155     0.157     0.152
emax            0.268     0.281     0.249
imean          10.101     8.847    11.561
imin            7.735     6.425     9.889
imax           13.889    13.887    13.891
excite_mean     0.291     0.291     0.292
fracstop        1.000     1.000     1.000
cjmean          2.996     2.997     2.996

libcent 0       182.9     183.5     182.0
libamp  0        58.2      53.7      68.3
libcent 1       179.7     181.0     177.9
libamp  1       110.3     141.8      90.8
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       201.7     212.6     199.7
kozaiamp        180.0     180.0     180.0