Orbit Fit and Astrometric record for 12PD26

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: 12PD26    
# Created Mon Dec 18 02:37:51 2017
# Orbit generated from Bernstein formalism
# Fitting   21 observations of   25
# Arc:   5.11y
# First observation: 2012/08/13
#  Last observation: 2017/09/23
Preliminary a, adot, b, bdot, g, gdot:
   0.001749   0.209971   0.000198  -0.016659   0.116431   0.000000
# WARNING MRQMIN stopped after  13 iterations -- oscilliatory solution
# Chi-squared of fit:  9999.99 DOF:   36 RMS: 99.99
# Min/Max residuals: -1335.15  144.08
# Exact a, adot, b, bdot, g, gdot:
 -1.628653E-04  2.162870E-01 -3.141127E-05 -1.856971E-02  9.701631E-02  5.169709E-02
# Covariance matrix:
  1.3878E-13  2.0271E-13  2.5497E-15 -1.0616E-14  3.6699E-13  1.7546E-13
  2.0271E-13  2.0228E-12  2.3049E-14 -1.0973E-13  2.5198E-12  1.7138E-12
  2.5497E-15  2.3049E-14  9.4331E-14 -3.0356E-14  2.8684E-14  2.0108E-14
 -1.0616E-14 -1.0973E-13 -3.0356E-14  4.5036E-14 -1.3029E-13 -9.7865E-14
  3.6699E-13  2.5198E-12  2.8684E-14 -1.3029E-13  3.4993E-12  2.0746E-12
  1.7546E-13  1.7138E-12  2.0108E-14 -9.7865E-14  2.0746E-12  1.5149E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    6.798722  -22.859883    0.286479    0.114987   -0.964664  2456152.918268
# Heliocentric elements and errors
Epoch:              2456150.5000  =  2012/08/11
Mean Anomaly:            8.98431 +/-     0.002
Argument of Peri:       91.80818 +/-     0.003
Long of Asc Node:      209.18955 +/-     0.000
Inclination:             7.70820 +/-     0.000
Eccentricity:         0.54099351 +/-    0.0001
Semi-Major Axis:     23.05788675 +/-    0.0034
Time of Perihelion: 2455141.2243 +/-       0.1
Perihelion:          10.58371973 +/-    0.0021
Aphelion:            35.53205377 +/-    0.0054
Period (y)              110.7229 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           10.21658059 +/-    0.0002
Ecliptic Y           -4.61688705 +/-    0.0001
Ecliptic Z            1.21994851 +/-    0.0000
Ecliptic XDOT         0.00375761 +/-    0.0000
Ecliptic YDOT         0.00504028 +/-    0.0000
Ecliptic ZDOT        -0.00034753 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   11.27751920 +/-    0.0002
Geocenter to KBO     10.30754529 +/-    0.0002
# Hcoef: 11.06

The following table shows the complete astrometric record for 12PD26. 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 (12PD26) followed by the observatory code and reference code for the source of the astrometry.

2012 08  13.41749  22 25 20.087  -02 34 09.58  21.9w 12PD26    F51  c~0iGq      
2012 08  13.43199  22 25 19.875  -02 34 10.76  22.0w 12PD26    F51  c~0iGq      
2012 08  13.46127  22 25 19.488  -02 34 12.88  21.9w 12PD26    F51  c~0iGq      
2012 08  14.762529 22 25 02.24   -02 35 53.8   21.1R 12PD26    E10  C~0iGq      
2012 08  14.765319 22 25 02.18   -02 35 54.3   21.4R 12PD26    E10  C~0iGq      
2012 08  14.768070 22 25 02.15   -02 35 54.5   21.2R 12PD26    E10  C~0iGq      
2012 08  16.273992 22 24 42.09   -02 37 55.6   21.5V 12PD26    H21  C~0iGq      
2012 08  16.284939 22 24 41.90   -02 37 56.8   21.7V 12PD26    H21  C~0iGq      
2012 08  16.303791 22 24 41.65   -02 37 58.0   21.5V 12PD26    H21  C~0iGq      
2012 08  16.436756 22 24 39.899  -02 38 08.50  20.8R 12PD26    568  C~0iGq      
2012 08  16.438705 22 24 39.870  -02 38 08.63  21.0R 12PD26    568  C~0iGq      
2012 08  16.440653 22 24 39.846  -02 38 08.78  21.1R 12PD26    568  C~0iGq      
2012 09  11.52665  22 18 46.58   -03 17 47.1   20.8R 12PD26    E10  C~0ia7      
2012 09  11.53961  22 18 46.43   -03 17 48.3   21.1R 12PD26    E10  C~0ia7      
2012 09  11.55581  22 18 46.19   -03 17 49.9   20.9R 12PD26    E10  C~0ia7      
2013 09  02.95197  23 06 41.38   +00 24 51.0   21.7R 12PD26    493  C~1C6T      
2013 09  02.97107  23 06 41.13   +00 24 49.4   21.4R 12PD26    493  C~1C6T      
2013 09  02.99000  23 06 40.89   +00 24 48.6   21.7R 12PD26    493  C~1C6T      
2014 10  26.18157  23 37 04.68   +02 08 12.3   21.1R 12PD26    G37  C~1C6T      
2014 10  26.19796  23 37 04.54   +02 08 11.0   21.7R 12PD26    G37  C~1C6T      
2014 10  26.23866  23 37 04.19   +02 08 07.8   21.8R 12PD26    G37  C~1C6T      
2014 10  28.14234  23 36 48.88   +02 05 36.4   21.6R 12PD26    G37  C~1C6T      
2014 10  28.14640  23 36 48.84   +02 05 36.1   21.7R 12PD26    G37  C~1C6T      
2017 09  23.35419  01 19 40.78   +09 43 55.7   22.9R 12PD26    G37  C~2LS3      
2017 09  23.44105  01 19 39.86   +09 43 50.3         12PD26    G37  C~2LS3      

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    40.87       0.00     5.85
  2   0.0000     -3.39    40.52       0.07     5.89
  3   0.0001     -9.56    40.48       0.22     5.98
  4   0.0037   -287.02    31.73       1.16     6.06
  5   0.0037   -288.04    31.29       1.03     5.93
  6   0.0037   -288.53    31.38       1.01     5.90
  7   0.0078   -612.59    21.16      -1.39     6.13
  8   0.0079   -615.68    20.41      -1.46     6.06
  9   0.0079   -619.60    20.51      -1.21     6.31
 10   0.0083   -647.86    19.82      -1.35     6.24
 11   0.0083   -648.31    19.79      -1.31     6.28
 12   0.0083   -648.70    19.82      -1.32     6.27
 13   0.0797  -6446.01  -162.71    -276.75     2.24
 14   0.0797  -6448.54  -162.50    -277.04     2.17
 15   0.0798  -6452.47  -163.00    -277.22     2.28
 16   1.0555  39004.58 ( 288.53)  -3801.04 ( -24.75)
 17   1.0556  39000.36 ( 288.56)  -3801.13 ( -24.65)
 18   1.0556  38996.59 ( 289.01)  -3800.53 ( -23.84)
 19   2.2006  68655.06   -24.70   -8400.30   -23.72
 20   2.2006  68652.36   -24.77   -8400.75   -23.71
 21   2.2007  68645.64   -24.95   -8401.81   -23.62
 22   2.2060  68347.03   -33.13   -8459.35   -24.19
 23   2.2060  68346.29   -33.25   -8459.41   -24.14
 24   5.1114 206328.17 -1335.15  -18256.17   144.08
 25   5.1116 206298.92 (*******) -18256.50 ( 144.97)

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.

12PD26    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        20.257    20.257    20.257
ecceobj         0.503     0.503     0.503
incobj          7.708     7.708     7.708
qmin            9.571     9.637     9.999
qmax           31.205    31.333    30.605
amean          19.095    18.313    20.301
amin           15.817    16.865    20.257
amax           20.536    20.655    20.350
emean           0.481     0.455     0.505
emin            0.373     0.395     0.503
emax            0.525     0.517     0.507
imean          10.532    10.969     7.866
imin            7.606     7.592     7.643
imax           12.096    12.359     8.173
excite_mean     0.515     0.494     0.523
fracstop        0.007     0.005     0.000
cjmean          2.953     3.011     2.889

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       243.2     228.3      94.8
kozaiamp        179.1     125.6      10.1