Orbit Fit and Astrometric record for 13MA12

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: 13MA12    
# Created Thu Oct 19 01:38:17 2017
# Orbit generated from Bernstein formalism
# Fitting   46 observations of   46
# Arc:   3.15y
# First observation: 2011/07/26
#  Last observation: 2014/09/18
Preliminary a, adot, b, bdot, g, gdot:
  -0.000129   0.020804   0.000019  -0.008761   0.024131   0.000000
# Chi-squared of fit:    15.60 DOF:   86 RMS:  0.10
# Min/Max residuals:    -0.29    0.29
# Exact a, adot, b, bdot, g, gdot:
  1.356787E-05  2.066958E-02 -5.856175E-06 -8.721516E-03  2.384350E-02 -1.213112E-03
# Covariance matrix:
  4.6843E-13 -3.4467E-13 -4.7542E-14  9.2733E-14 -2.2655E-13 -2.9871E-12
 -3.4467E-13  5.3482E-13  1.1230E-13 -2.1895E-13  3.0502E-13  7.0752E-12
 -4.7542E-14  1.1230E-13  3.6790E-13 -1.7226E-13  5.5698E-14  1.6728E-12
  9.2733E-14 -2.1895E-13 -1.7226E-13  1.4774E-13 -1.0874E-13 -3.2608E-12
 -2.2655E-13  3.0502E-13  5.5698E-14 -1.0874E-13  5.0059E-13  3.4800E-12
 -2.9871E-12  7.0752E-12  1.6728E-12 -3.2608E-12  3.4800E-12  1.0547E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   -5.101602  -53.239870    0.070742   -0.090015   -1.007627  2455768.938916
# Heliocentric elements and errors
Epoch:              2455760.5000  =  2011/07/18
Mean Anomaly:          244.01035 +/-     0.197
Argument of Peri:      315.25283 +/-     0.191
Long of Asc Node:      115.04406 +/-     0.000
Inclination:            23.38914 +/-     0.001
Eccentricity:         0.06715824 +/-    0.0004
Semi-Major Axis:     41.58254966 +/-    0.0041
Time of Perihelion: 2487316.4914 +/-      53.3
Perihelion:          38.78993880 +/-    0.0165
Aphelion:            44.37516052 +/-    0.0167
Period (y)              268.1482 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           25.55334463 +/-    0.0008
Ecliptic Y          -34.31910770 +/-    0.0010
Ecliptic Z           -3.72960519 +/-    0.0001
Ecliptic XDOT         0.00176228 +/-    0.0000
Ecliptic YDOT         0.00160849 +/-    0.0000
Ecliptic ZDOT        -0.00098505 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   42.94979080 +/-    0.0009
Geocenter to KBO     41.94016010 +/-    0.0012
# Hcoef:  5.48

The following table shows the complete astrometric record for 13MA12. 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 (13MA12) followed by the observatory code and reference code for the source of the astrometry.

2011 07  26.43815  20 42 11.514  -23 30 56.54  21.7w 13MA12    F51  C~1vX0      
2011 07  26.46567  20 42 11.374  -23 30 57.21  21.7w 13MA12    F51  C~1vX0      
2011 07  26.47942  20 42 11.304  -23 30 57.66  21.8w 13MA12    F51  C~1vX0      
2013 06  30.48404  20 55 15.984  -23 39 38.77  21.4r 13MA12    F51  C~1vX0      
2013 06  30.49373  20 55 15.948  -23 39 39.35  21.4r 13MA12    F51  C~1vX0      
2013 06  30.50514  20 55 15.903  -23 39 39.48  21.6i 13MA12    F51  C~1vX0      
2013 06  30.51616  20 55 15.844  -23 39 39.82  21.4i 13MA12    F51  C~1vX0      
2013 07  13.46690  20 54 20.230  -23 45 14.58  21.8w 13MA12    F51  C~1vX0      
2013 07  13.48399  20 54 20.142  -23 45 14.99  21.7w 13MA12    F51  C~1vX0      
2013 07  13.50039  20 54 20.072  -23 45 15.49  21.7w 13MA12    F51  C~1vX0      
2013 07  13.51498  20 54 20.010  -23 45 15.77  22.1w 13MA12    F51  C~1vX0      
2013 08  02.40296  20 52 44.296  -23 53 38.80  21.9w 13MA12    F51  C~1vX0      
2013 08  02.41661  20 52 44.232  -23 53 39.17  22.0w 13MA12    F51  C~1vX0      
2013 08  02.43026  20 52 44.160  -23 53 39.63  21.6w 13MA12    F51  C~1vX0      
2013 08  02.44394  20 52 44.092  -23 53 39.75  21.9w 13MA12    F51  C~1vX0      
2014 07  25.43524  20 59 01.426  -23 58 59.57  21.8w 13MA12    F51  C~1vX0      
2014 07  25.44720  20 59 01.378  -23 59 00.09  21.7w 13MA12    F51  C~1vX0      
2014 07  25.45922  20 59 01.306  -23 59 00.34  21.8w 13MA12    F51  C~1vX0      
2014 07  25.47120  20 59 01.252  -23 59 00.61  21.7w 13MA12    F51  C~1vX0      
2014 07  27.43149  20 58 51.720  -23 59 51.36  21.8w 13MA12    F51  C~1vX0      
2014 07  27.44341  20 58 51.662  -23 59 51.60  21.6w 13MA12    F51  C~1vX0      
2014 07  27.45531  20 58 51.600  -23 59 52.13  21.8w 13MA12    F51  C~1vX0      
2014 07  27.46721  20 58 51.533  -23 59 52.21  21.8w 13MA12    F51  C~1vX0      
2014 07  29.36788  20 58 42.251  -24 00 40.78  21.6w 13MA12    F51  C~1vX0      
2014 07  29.38003  20 58 42.180  -24 00 41.28  21.6w 13MA12    F51  C~1vX0      
2014 07  29.39217  20 58 42.125  -24 00 41.40  21.6w 13MA12    F51  C~1vX0      
2014 07  29.40435  20 58 42.066  -24 00 41.91  21.5w 13MA12    F51  C~1vX0      
2014 08  01.49362  20 58 26.847  -24 02 00.03  21.8w 13MA12    F51  C~1vX0      
2014 08  01.50551  20 58 26.775  -24 02 00.15  21.7w 13MA12    F51  C~1vX0      
2014 08  01.51740  20 58 26.741  -24 02 00.33  21.8w 13MA12    F51  C~1vX0      
2014 08  04.42423  20 58 12.374  -24 03 12.93  21.9w 13MA12    F51  C~1vX0      
2014 08  04.43640  20 58 12.306  -24 03 12.89  21.9w 13MA12    F51  C~1vX0      
2014 08  04.44858  20 58 12.238  -24 03 13.29  22.1w 13MA12    F51  C~1vX0      
2014 08  04.46079  20 58 12.193  -24 03 13.66  21.8w 13MA12    F51  C~1vX0      
2014 08  22.38689  20 56 45.114  -24 09 58.50  21.7w 13MA12    F51  C~1vX0      
2014 08  22.39837  20 56 45.073  -24 09 58.63  21.6w 13MA12    F51  C~1vX0      
2014 08  22.40983  20 56 45.016  -24 09 58.90  21.7w 13MA12    F51  C~1vX0      
2014 08  22.42128  20 56 44.961  -24 09 59.09  21.6w 13MA12    F51  C~1vX0      
2014 08  27.34642  20 56 22.332  -24 11 35.11  21.9w 13MA12    F51  C~1vX0      
2014 08  27.35781  20 56 22.280  -24 11 35.24  21.8w 13MA12    F51  C~1vX0      
2014 08  27.36924  20 56 22.228  -24 11 35.69  21.8w 13MA12    F51  C~1vX0      
2014 08  27.38061  20 56 22.188  -24 11 35.79  21.8w 13MA12    F51  C~1vX0      
2014 09  18.24556  20 54 55.826  -24 17 00.28  22.2w 13MA12    F51  C~1vX0      
2014 09  18.25751  20 54 55.769  -24 17 00.46  22.1w 13MA12    F51  C~1vX0      
2014 09  18.26945  20 54 55.749  -24 17 00.90  22.1w 13MA12    F51  C~1vX0      
2014 09  18.28138  20 54 55.708  -24 17 00.95  22.0w 13MA12    F51  C~1vX0      

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     0.03       0.00     0.01
  2   0.0001     -2.03    -0.00      -0.15     0.01
  3   0.0001     -3.08    -0.05      -0.33    -0.11
  4   1.9303  10249.30     0.09   -3424.05     0.20
  5   1.9303  10248.66     0.04   -3424.46    -0.13
  6   1.9304  10248.03     0.11   -3424.41     0.02
  7   1.9304  10247.16    -0.10   -3424.51     0.02
  8   1.9659   9418.12    -0.01   -3531.11    -0.01
  9   1.9659   9416.84    -0.11   -3531.17     0.06
 10   1.9659   9415.77    -0.05   -3531.38    -0.04
 11   1.9660   9414.88     0.06   -3531.41     0.03
 12   2.0204   8010.67    -0.01   -3648.01     0.09
 13   2.0205   8009.72     0.05   -3648.12     0.03
 14   2.0205   8008.64    -0.03   -3648.29    -0.08
 15   2.0205   8007.71     0.04   -3648.15     0.12
 16   2.9979  12894.21    -0.10   -5423.57     0.09
 17   2.9980  12893.42    -0.01   -5423.88    -0.16
 18   2.9980  12892.40    -0.16   -5423.83    -0.05
 19   2.9980  12891.61    -0.08   -5423.88    -0.03
 20   3.0034  12751.32    -0.02   -5434.78    -0.08
 21   3.0034  12750.49     0.02   -5434.78    -0.02
 22   3.0035  12749.52    -0.08   -5435.04    -0.22
 23   3.0035  12748.61    -0.12   -5434.85     0.03
 24   3.0087  12612.28     0.13   -5444.70     0.10
 25   3.0087  12611.20    -0.06   -5444.89    -0.04
 26   3.0088  12610.44     0.07   -5444.79     0.12
 27   3.0088  12609.51     0.04   -5445.05    -0.07
 28   3.0173  12386.47     0.03   -5459.82    -0.08
 29   3.0173  12385.48    -0.08   -5459.65     0.13
 30   3.0173  12384.98     0.29   -5459.69     0.14
 31   3.0253  12174.82    -0.01   -5472.63    -0.29
 32   3.0253  12173.93    -0.00   -5472.33     0.06
 33   3.0254  12172.92    -0.12   -5472.44    -0.01
 34   3.0254  12172.22     0.07   -5472.62    -0.14
 35   3.0745  10909.67    -0.14   -5519.35    -0.09
 36   3.0745  10909.09     0.07   -5519.32    -0.05
 37   3.0745  10908.27     0.02   -5519.35    -0.08
 38   3.0746  10907.49     0.03   -5519.32    -0.04
 39   3.0880  10582.32     0.05   -5523.22     0.07
 40   3.0881  10581.60     0.08   -5523.14     0.15
 41   3.0881  10580.79     0.02   -5523.37    -0.08
 42   3.0881  10580.23     0.21   -5523.31    -0.02
 43   3.1480   9352.13     0.04   -5500.05     0.27
 44   3.1480   9351.33    -0.20   -5500.00     0.28
 45   3.1481   9350.95    -0.02   -5500.35    -0.09
 46   3.1481   9350.39    -0.01   -5500.24    -0.01

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.

13MA12    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        41.483    41.495    41.471
ecceobj         0.069     0.069     0.068
incobj         23.405    23.405    23.404
qmin           38.045    38.037    38.065
qmax           45.186    45.239    45.198
amean          41.524    41.535    41.513
amin           41.211    41.216    41.181
amax           41.862    41.876    41.852
emean           0.068     0.068     0.068
emin            0.056     0.057     0.057
emax            0.080     0.081     0.081
imean          21.781    21.782    21.780
imin           21.331    21.336    21.327
imax           22.274    22.269    22.262
excite_mean     0.377     0.377     0.377
fracstop        1.000     1.000     1.000
cjmean          2.902     2.902     2.902

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       177.9     178.0     177.7
kozaiamp        180.0     180.0     179.9