Orbit Fit and Astrometric record for 12TC324

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: 12TC324   
# Created Fri Oct 20 01:38:13 2017
# Orbit generated from Bernstein formalism
# Fitting   67 observations of   68
# Arc:   6.20y
# First observation: 2008/10/30
#  Last observation: 2015/01/10
Preliminary a, adot, b, bdot, g, gdot:
   0.000152   0.035718  -0.000174  -0.002631   0.032804   0.000000
# Chi-squared of fit:    37.36 DOF:  128 RMS:  0.13
# Min/Max residuals:    -0.32    0.34
# Exact a, adot, b, bdot, g, gdot:
  1.798379E-05  3.527229E-02 -1.169302E-07 -2.596778E-03  3.012113E-02 -1.812760E-03
# Covariance matrix:
  2.3540E-13 -1.0790E-13 -3.5928E-15  5.2459E-15 -2.4934E-14 -3.2038E-13
 -1.0790E-13  9.3416E-14  3.6982E-15 -5.8744E-15  3.5083E-14  3.5906E-13
 -3.5928E-15  3.6982E-15  1.6574E-13 -3.0373E-14 -1.9953E-15  1.5147E-14
  5.2459E-15 -5.8744E-15 -3.0373E-14  6.6921E-15 -2.3487E-15 -2.4210E-14
 -2.4934E-14  3.5083E-14 -1.9953E-15 -2.3487E-15  9.0570E-14  1.4668E-13
 -3.2038E-13  3.5906E-13  1.5147E-14 -2.4210E-14  1.4668E-13  1.4799E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -8.963740   15.897804   -0.364491   -0.144125   -0.913936  2454769.806721
# Heliocentric elements and errors
Epoch:              2454760.5000  =  2008/10/21
Mean Anomaly:          351.04822 +/-     0.008
Argument of Peri:      258.64443 +/-     0.012
Long of Asc Node:      131.74386 +/-     0.001
Inclination:             9.62463 +/-     0.000
Eccentricity:         0.19856652 +/-    0.0000
Semi-Major Axis:     42.37172262 +/-    0.0021
Time of Perihelion: 2457265.5676 +/-       2.2
Perihelion:          33.95811711 +/-    0.0022
Aphelion:            50.78532812 +/-    0.0029
Period (y)              275.8179 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.33111656 +/-    0.0003
Ecliptic Y            9.58284315 +/-    0.0001
Ecliptic Z           -5.17276261 +/-    0.0001
Ecliptic XDOT        -0.00106418 +/-    0.0000
Ecliptic YDOT         0.00303121 +/-    0.0000
Ecliptic ZDOT        -0.00020759 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   34.11582410 +/-    0.0003
Geocenter to KBO     33.19928391 +/-    0.0003
# Hcoef:  6.68

The following table shows the complete astrometric record for 12TC324. 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 (12TC324) followed by the observatory code and reference code for the source of the astrometry.

2008 10  30.305967 01 12 20.30   -02 01 27.4   21.8V 12TC324   645  C~1vWo      
2008 10  30.306796 01 12 20.29   -02 01 27.4   21.4V 12TC324   645  C~1vWo      
2008 10  30.309284 01 12 20.27   -02 01 27.4   22.8V 12TC324   645  C~1vWo      
2009 01  16.130602 01 09 43.51   -02 01 05.3   21.8V 12TC324   645  C~1vWo      
2009 01  16.131431 01 09 43.51   -02 01 05.3   21.3V 12TC324   645  C~1vWo      
2009 01  16.133919 01 09 43.51   -02 01 05.3   22.7V 12TC324   645  C~1vWo      
2010 10  30.35369  01 27 49.966  -00 44 20.22  21.5w 12TC324   F51  C~1vWo      
2010 10  30.38200  01 27 49.812  -00 44 20.82  21.8w 12TC324   F51  C~1vWo      
2010 10  30.39602  01 27 49.743  -00 44 21.08  21.7w 12TC324   F51  C~1vWo      
2011 01  28.24146  01 25 07.369  -00 40 56.64  22.2w 12TC324   F51  C~1vWo      
2011 01  28.25335  01 25 07.389  -00 40 56.56  22.1w 12TC324   F51  C~1vWo      
2011 01  28.25884  01 25 07.409  -00 40 56.55  21.9w 12TC324   F51  C~1vWo      
2012 10  07.50116  01 45 22.752  +00 44 57.75  21.7r 12TC324   F51  C~1vWo      
2012 10  07.51276  01 45 22.692  +00 44 57.37  22.0r 12TC324   F51  C~1vWo      
2012 10  07.52707  01 45 22.628  +00 44 56.80  21.5i 12TC324   F51  C~1vWo      
2012 10  07.53980  01 45 22.559  +00 44 56.49  21.4i 12TC324   F51  C~1vWo      
2012 10  17.39621  01 44 29.727  +00 39 24.08  21.8w 12TC324   F51  C~1vWo      
2012 10  17.40960  01 44 29.657  +00 39 23.79  21.7w 12TC324   F51  C~1vWo      
2012 10  17.42302  01 44 29.568  +00 39 23.28  21.6w 12TC324   F51  C~1vWo      
2012 10  17.43655  01 44 29.505  +00 39 22.95  21.6w 12TC324   F51  C~1vWo      
2012 11  06.29766  01 42 42.948  +00 29 49.82  22.0w 12TC324   F51  C~1vWo      
2012 11  06.31261  01 42 42.861  +00 29 49.53  22.4w 12TC324   F51  C~1vWo      
2012 11  06.32755  01 42 42.786  +00 29 49.12  22.0w 12TC324   F51  C~1vWo      
2012 11  06.34248  01 42 42.704  +00 29 48.89  21.9w 12TC324   F51  C~1vWo      
2013 10  27.35497  01 51 24.186  +01 13 06.35  21.9w 12TC324   F51  C~1vWo      
2013 10  27.37056  01 51 24.069  +01 13 05.70  22.1w 12TC324   F51  C~1vWo      
2013 10  27.38618  01 51 24.008  +01 13 05.18  22.0w 12TC324   F51  C~1vWo      
2013 11  04.07060  01 50 42.52   +01 09 31.9   21.9r 12TC324   W84  C~2J9b      
2013 11  04.13358  01 50 42.18   +01 09 30.2         12TC324   W84  C~2J9b      
2013 11  04.21602  01 50 41.73   +01 09 28.1         12TC324   W84  C~2J9b      
2014 08  30.53968  02 03 31.846  +02 23 26.23  22.0w 12TC324   F51  C~1vWo      
2014 08  30.55165  02 03 31.812  +02 23 25.70  21.9w 12TC324   F51  C~1vWo      
2014 08  30.56356  02 03 31.789  +02 23 25.52  22.0w 12TC324   F51  C~1vWo      
2014 08  30.57548  02 03 31.750  +02 23 25.11  22.1w 12TC324   F51  C~1vWo      
2014 09  07.52232  02 03 09.034  +02 19 23.17  21.4i 12TC324   F51  C~1vWo      
2014 09  07.54700  02 03 08.982  +02 19 22.34  21.4i 12TC324   F51  C~1vWo      
2014 09  07.55937  02 03 08.938  +02 19 21.92  21.3i 12TC324   F51  C~1vWo      
2014 09  18.47685  02 02 28.924  +02 13 23.57  21.5i 12TC324   F51  C~1vWo      
2014 09  18.48805  02 02 28.879  +02 13 23.12  21.6i 12TC324   F51  C~1vWo      
2014 09  18.49927  02 02 28.841  +02 13 22.64  21.5i 12TC324   F51  C~1vWo      
2014 09  18.51058  02 02 28.788  +02 13 22.44  21.2i 12TC324   F51  C~1vWo      
2014 11  10.35908  01 57 57.540  +01 45 35.29  21.1i 12TC324   F51  C~1vWo      
2014 11  10.37111  01 57 57.464  +01 45 34.68  21.2i 12TC324   F51  C~1vWo      
2014 11  10.38321  01 57 57.390  +01 45 34.70  21.4i 12TC324   F51  C~1vWo      
2014 11  10.39531  01 57 57.332  +01 45 34.35  21.2i 12TC324   F51  C~1vWo      
2014 11  11.41592  01 57 52.032  +01 45 10.50  21.3i 12TC324   F51  C~1vWo      
2014 11  11.42813  01 57 51.963  +01 45 10.18  21.2i 12TC324   F51  C~1vWo      
2014 11  11.44032  01 57 51.894  +01 45 10.10  21.1i 12TC324   F51  C~1vWo      
2014 11  20.36980  01 57 07.324  +01 42 07.20  21.8w 12TC324   F51  C~1vWo      
2014 11  20.38267  01 57 07.252  +01 42 06.95  21.8w 12TC324   F51  C~1vWo      
2014 11  20.39556  01 57 07.190  +01 42 06.77  21.8w 12TC324   F51  C~1vWo      
2014 11  20.40854  01 57 07.136  +01 42 06.56  21.8w 12TC324   F51  C~1vWo      
2014 11  22.30885  01 56 58.164  +01 41 33.56  22.1w 12TC324   F51  C~1vWo      
2014 11  22.32180  01 56 58.106  +01 41 33.21  22.0w 12TC324   F51  C~1vWo      
2014 11  22.33467  01 56 58.049  +01 41 33.26  22.1w 12TC324   F51  C~1vWo      
2014 11  22.34759  01 56 57.987  +01 41 32.86  22.0w 12TC324   F51  C~1vWo      
2014 12  11.25863  01 55 42.394  +01 38 13.05  21.9w 12TC324   F51  C~1vWo      
2014 12  11.27389  01 55 42.326  +01 38 13.31  22.1w 12TC324   F51  C~1vWo      
2014 12  11.28540  01 55 42.296  +01 38 13.01  22.0w 12TC324   F51  C~1vWo      
2014 12  11.29694  01 55 42.269  +01 38 12.93  22.1w 12TC324   F51  C~1vWo      
2015 01  08.22629  01 54 51.181  +01 40 57.95  22.2w 12TC324   F51  C~1vWo      
2015 01  08.23867  01 54 51.194  +01 40 58.03  21.9w 12TC324   F51  C~1vWo      
2015 01  08.25106  01 54 51.181  +01 40 58.42  22.2w 12TC324   F51  C~1vWo      
2015 01  08.26349  01 54 51.183  +01 40 58.49  21.8w 12TC324   F51  C~1vWo      
2015 01  10.22366  01 54 50.788  +01 41 30.75  22.1w 12TC324   F51  C~1vWo      
2015 01  10.23534  01 54 50.793  +01 41 30.84  21.9w 12TC324   F51  C~1vWo      
2015 01  10.24694  01 54 50.783  +01 41 31.28  22.0w 12TC324   F51  C~1vWo      
2015 01  10.25853  01 54 50.781  +01 41 31.35  21.7w 12TC324   F51  C~1vWo      

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     0.11       0.00    -0.26
  2   0.0000     -0.14     0.04       0.06    -0.20
  3   0.0000     -0.42    -0.04       0.17    -0.10
  4   0.2131  -2163.18     0.08     919.75    -0.05
  5   0.2131  -2163.18     0.05     919.75    -0.06
  6   0.2131  -2163.18    -0.04     919.75    -0.10
  7   1.9988  14673.89    -0.21   -1077.39     0.04
  8   1.9988  14671.51    -0.19   -1077.06     0.22
  9   1.9989  14670.45    -0.06   -1076.90     0.30
 10   2.2449  12490.92 (   0.19)     50.08 (   0.44)
 11   2.2449  12491.23    -0.11      50.04     0.23
 12   2.2449  12491.51    -0.11      49.94     0.05
 13   3.9376  31530.05    -0.14   -2217.35     0.13
 14   3.9376  31529.05    -0.10   -2217.36     0.13
 15   3.9376  31527.92     0.05   -2217.52    -0.01
 16   3.9377  31526.82     0.09   -2217.40     0.12
 17   3.9647  30647.94    -0.06   -2219.07    -0.13
 18   3.9647  30646.83     0.05   -2218.93    -0.02
 19   3.9647  30645.37    -0.18   -2218.89    -0.00
 20   3.9648  30644.35     0.03   -2218.83     0.03
 21   4.0191  28913.05     0.27   -2131.36     0.01
 22   4.0192  28911.71     0.18   -2131.12     0.13
 23   4.0192  28910.49     0.21   -2131.07     0.07
 24   4.0193  28909.24     0.21   -2130.80     0.22
 25   4.9912  37342.37     0.33   -2753.54     0.14
 26   4.9913  37340.44    -0.18   -2753.46     0.14
 27   4.9913  37339.36     0.16   -2753.59    -0.07
 28   5.0124  36661.74     0.02   -2710.18    -0.08
 29   5.0125  36656.21     0.01   -2709.78    -0.15
 30   5.0128  36648.95    -0.03   -2709.11    -0.08
 31   5.8323  49559.31    -0.02   -3058.92     0.16
 32   5.8323  49558.60    -0.14   -3059.22     0.00
 33   5.8323  49558.19     0.04   -3059.25     0.11
 34   5.8324  49557.45    -0.10   -3059.41     0.10
 35   5.8541  49127.21    -0.23   -3154.78     0.16
 36   5.8542  49126.12     0.19   -3155.26    -0.06
 37   5.8542  49125.30     0.14   -3155.39    -0.07
 38   5.8841  48395.60    -0.06   -3258.74     0.10
 39   5.8841  48394.76    -0.06   -3258.90     0.02
 40   5.8842  48394.01     0.03   -3259.13    -0.13
 41   5.8842  48393.16     0.02   -3259.01     0.08
 42   6.0289  43778.34     0.21   -3234.14    -0.08
 43   6.0289  43776.99    -0.09   -3234.26    -0.32
 44   6.0290  43775.93    -0.11   -3233.81     0.02
 45   6.0290  43774.95    -0.04   -3233.80    -0.08
 46   6.0318  43688.68     0.03   -3225.04    -0.31
 47   6.0318  43687.55    -0.05   -3224.94    -0.32
 48   6.0319  43686.52    -0.04   -3224.61    -0.11
 49   6.0563  42968.65     0.08   -3134.37    -0.15
 50   6.0563  42967.51    -0.06   -3134.18    -0.12
 51   6.0564  42966.54    -0.02   -3133.99    -0.07
 52   6.0564  42965.68     0.12   -3133.87    -0.11
 53   6.0616  42822.82    -0.08   -3112.11    -0.09
 54   6.0616  42821.84    -0.08   -3112.09    -0.24
 55   6.0617  42821.03     0.09   -3111.71    -0.01
 56   6.0617  42819.98     0.01   -3111.72    -0.18
 57   6.1135  41648.96    -0.01   -2854.84    -0.07
 58   6.1135  41648.09    -0.13   -2854.20     0.34
 59   6.1136  41647.53    -0.11   -2854.30     0.05
 60   6.1136  41647.11     0.04   -2854.22    -0.05
 61   6.1901  40976.43    -0.13   -2398.40     0.21
 62   6.1901  40976.65     0.09   -2398.40    -0.01
 63   6.1901  40976.61     0.05   -2397.95     0.22
 64   6.1902  40976.67     0.10   -2397.90     0.06
 65   6.1955  40983.80    -0.05   -2365.21     0.09
 66   6.1956  40983.91     0.01   -2365.16    -0.06
 67   6.1956  40983.94    -0.01   -2364.68     0.21
 68   6.1956  40983.94    -0.06   -2364.61     0.09

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.

12TC324    quality flag:3

Type:          5:3EE     5:3EE     5:3EE

axisobj        42.685    42.691    42.679
ecceobj         0.205     0.205     0.205
incobj          9.627     9.627     9.627
qmin           33.475    33.475    33.473
qmax           51.639    51.649    51.650
amean          42.327    42.327    42.327
amin           41.947    41.948    41.956
amax           42.754    42.759    42.758
emean           0.191     0.191     0.191
emin            0.173     0.172     0.173
emax            0.208     0.208     0.208
imean           8.572     8.573     8.572
imin            8.060     8.060     8.062
imax            9.244     9.247     9.244
excite_mean     0.242     0.242     0.242
fracstop        1.000     1.000     1.000
cjmean          3.013     3.013     3.013

libcent 0       180.2     178.9     179.4
libamp  0        35.2      35.5      34.8
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       185.9     185.9     185.9
kozaiamp        179.9     179.9     179.9