Orbit Fit and Astrometric record for 10MR116

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: 10MR116   
# Created Mon Nov 19 02:09:03 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   49 observations of   49
# Arc:  12.95y
# First observation: 2000/10/02
#  Last observation: 2013/09/15
# Chi-squared of fit:    47.09 DOF:   92 RMS:  0.17
# Min/Max residuals:    -0.43    0.64
# Exact a, adot, b, bdot, g, gdot:
  1.815193E-05  3.060436E-02  4.938212E-06  1.083312E-02  2.698460E-02  1.597385E-03
# Covariance matrix:
  1.5665E-13 -4.5875E-14  1.8849E-14 -1.2499E-14  3.0441E-14 -9.0629E-14
 -4.5875E-14  2.6031E-14 -1.2962E-14  8.7146E-15  2.5683E-15  6.2824E-14
  1.8849E-14 -1.2962E-14  1.0271E-13 -1.4245E-14 -2.3929E-15 -3.3134E-14
 -1.2499E-14  8.7146E-15 -1.4245E-14  4.5137E-15  2.4069E-15  2.2320E-14
  3.0441E-14  2.5683E-15 -2.3929E-15  2.4069E-15  1.5737E-13  1.4946E-14
 -9.0629E-14  6.2824E-14 -3.3134E-14  2.2320E-14  1.4946E-14  1.6078E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.724484   -3.842543   -0.225041    0.028979   -0.968571  2451819.841812
# Heliocentric elements and errors
Epoch:              2451820.5000  =  2000/10/03
Mean Anomaly:            4.05539 +/-     0.001
Argument of Peri:      354.62167 +/-     0.002
Long of Asc Node:      351.76294 +/-     0.000
Inclination:            19.54024 +/-     0.000
Eccentricity:         0.40405077 +/-    0.0001
Semi-Major Axis:     63.51609201 +/-    0.0075
Time of Perihelion: 2449737.6659 +/-       0.7
Perihelion:          37.85236612 +/-    0.0060
Aphelion:            89.17981790 +/-    0.0113
Period (y)              506.2137 +/-      0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.94540767 +/-    0.0005
Ecliptic Y           -2.31753531 +/-    0.0000
Ecliptic Z            1.11539953 +/-    0.0000
Ecliptic XDOT         0.00032920 +/-    0.0000
Ecliptic YDOT         0.00309447 +/-    0.0000
Ecliptic ZDOT         0.00110366 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.03243688 +/-    0.0005
Geocenter to KBO     37.05817024 +/-    0.0005
# Hcoef:  6.61

The following table shows the complete astrometric record for 10MR116. 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 (10MR116) followed by the observatory code and reference code for the source of the astrometry.

2000 10  02.341069 23 43 09.39   +00 03 19.1   21.4V 10MR116   645  C~2PON      
2000 10  02.341898 23 43 09.39   +00 03 18.9   20.8V 10MR116   645  C~2PON      
2000 10  02.344386 23 43 09.39   +00 03 19.1   22.4V 10MR116   645  C~2PON      
2001 10  14.289923 23 47 42.33   +01 14 21.1   22.1V 10MR116   645  C~2PON      
2001 10  14.290752 23 47 42.34   +01 14 20.8   21.9V 10MR116   645  C~2PON      
2001 10  14.293240 23 47 42.33   +01 14 20.9   22.9V 10MR116   645  C~2PON      
2001 10  15.303021 23 47 37.91   +01 13 56.9   22.3V 10MR116   645  C~2PON      
2001 10  15.303851 23 47 37.89   +01 13 56.9   21.9V 10MR116   645  C~2PON      
2001 10  15.306338 23 47 37.89   +01 13 56.7   23.2V 10MR116   645  C~2PON      
2001 11  12.152017 23 45 59.56   +01 05 06.2   22.4V 10MR116   645  C~2PON      
2001 11  12.152846 23 45 59.56   +01 05 06.3   23.2V 10MR116   645  C~2PON      
2001 11  12.155334 23 45 59.56   +01 05 06.2   23.5V 10MR116   645  C~2PON      
2001 11  18.187600 23 45 45.89   +01 03 55.3   22.4V 10MR116   645  C~2PON      
2001 11  18.188430 23 45 45.90   +01 03 55.3   21.7V 10MR116   645  C~2PON      
2001 11  18.190918 23 45 45.89   +01 03 55.3   23.4V 10MR116   645  C~2PON      
2004 10  15.20937  00 03 48.77   +04 58 33.8   22.0R 10MR116   695  C~1w3i      
2004 10  15.30137  00 03 48.35   +04 58 31.4         10MR116   695  C~1w3i      
2005 09  12.324263 00 11 51.32   +06 26 21.0   22.1V 10MR116   645  C~2PON      
2005 09  12.325092 00 11 51.31   +06 26 20.9   21.9V 10MR116   645  C~2PON      
2005 09  12.327580 00 11 51.30   +06 26 20.8   22.8V 10MR116   645  C~2PON      
2005 09  28.256852 00 10 33.57   +06 19 54.3   22.4V 10MR116   645  C~2PON      
2005 09  28.257681 00 10 33.57   +06 19 54.5   21.8V 10MR116   645  C~2PON      
2005 09  28.260169 00 10 33.58   +06 19 54.5   23.8V 10MR116   645  C~2PON      
2008 11  01.335306 00 24 01.54   +09 42 18.3   22.6V 10MR116   645  C~2PON      
2008 11  01.336136 00 24 01.54   +09 42 18.3   22.2V 10MR116   645  C~2PON      
2008 11  01.338623 00 24 01.54   +09 42 18.3   23.6V 10MR116   645  C~2PON      
2010 06  15.57858  00 40 47.262  +12 12 49.68  22.6w 10MR116   F51  C~1w3i      
2010 06  19.56080  00 40 56.560  +12 14 55.65  22.8w 10MR116   F51  C~1w3i      
2010 06  19.56182  00 40 56.504  +12 14 55.41  22.6w 10MR116   F51  C~1w3i      
2010 11  01.28175  00 34 46.426  +12 03 24.48  23.1w 10MR116   F51  C~1w3i      
2010 11  01.29733  00 34 46.361  +12 03 23.91  23.0w 10MR116   F51  C~1w3i      
2010 11  01.31455  00 34 46.282  +12 03 23.44  22.8w 10MR116   F51  C~1w3i      
2010 11  01.33167  00 34 46.225  +12 03 23.18  22.9w 10MR116   F51  C~1w3i      
2011 07  01.58876  00 46 29.677  +13 27 15.13  23.3w 10MR116   F51  C~1w3i      
2011 09  04.43283  00 44 40.450  +13 34 29.54  22.9w 10MR116   F51  C~1w3i      
2011 09  04.44768  00 44 40.395  +13 34 29.30  22.8w 10MR116   F51  C~1w3i      
2011 09  04.46258  00 44 40.335  +13 34 29.19  22.9w 10MR116   F51  C~1w3i      
2011 09  04.47759  00 44 40.263  +13 34 29.05  22.9w 10MR116   F51  C~1w3i      
2011 09  19.39833  00 43 33.888  +13 30 29.78  22.2i 10MR116   F51  C~1w3i      
2011 10  02.50259  00 42 30.204  +13 25 43.92  22.3g 10MR116   F51  C~1w3i      
2012 10  09.34859  00 47 15.372  +14 30 37.86  22.0w 10MR116   F51  C~1w3i      
2012 10  09.39121  00 47 15.194  +14 30 37.17  22.2w 10MR116   F51  C~1w3i      
2012 11  03.42378  00 45 18.270  +14 19 21.34  21.7i 10MR116   F51  C~1w3i      
2012 11  04.24796  00 45 14.840  +14 18 58.92  22.5w 10MR116   F51  C~1w3i      
2012 11  04.26208  00 45 14.773  +14 18 58.59  22.6w 10MR116   F51  C~1w3i      
2012 11  04.27616  00 45 14.712  +14 18 58.20  22.7w 10MR116   F51  C~1w3i      
2012 11  04.29034  00 45 14.645  +14 18 57.75  22.6w 10MR116   F51  C~1w3i      
2013 09  15.54642  00 54 34.053  +15 45 53.13  22.3w 10MR116   F51  C~1w3i      
2013 09  15.56014  00 54 33.969  +15 45 52.91  22.3w 10MR116   F51  C~1w3i      

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    -0.16       0.00     0.25
  2   0.0000      0.00    -0.10       0.00     0.07
  3   0.0000      0.00     0.08       0.00     0.33
  4   1.0320      0.00    -0.07       0.00     0.22
  5   1.0320      0.00     0.13       0.00    -0.06
  6   1.0320      0.00     0.15       0.00     0.10
  7   1.0348      0.00     0.24       0.00    -0.02
  8   1.0348      0.00    -0.00       0.00     0.00
  9   1.0348      0.00     0.16       0.00    -0.14
 10   1.1110      0.00    -0.21       0.00    -0.19
 11   1.1111      0.00    -0.18       0.00    -0.08
 12   1.1111      0.00    -0.08       0.00    -0.15
 13   1.1276      0.00    -0.08       0.00    -0.05
 14   1.1276      0.00     0.10       0.00    -0.04
 15   1.1276      0.00     0.02       0.00    -0.01
 16   4.0352      0.00    -0.27       0.00     0.08
 17   4.0355      0.00    -0.21       0.00     0.04
 18   4.9445      0.00     0.06       0.00    -0.02
 19   4.9445      0.00    -0.03       0.00    -0.11
 20   4.9445      0.00    -0.00       0.00    -0.15
 21   4.9881      0.00    -0.13       0.00    -0.31
 22   4.9881      0.00    -0.07       0.00    -0.09
 23   4.9881      0.00     0.26       0.00    -0.02
 24   8.0821      0.00     0.14       0.00    -0.10
 25   8.0821      0.00     0.19       0.00    -0.08
 26   8.0821      0.00     0.34       0.00    -0.02
 27   9.7009      0.00    -0.43       0.00     0.25
 28   9.7118      0.00     0.64       0.00     0.04
 29   9.7118      0.00    -0.23       0.00    -0.23
 30  10.0806      0.00     0.11       0.00     0.24
 31  10.0806      0.00     0.13       0.00     0.08
 32  10.0807      0.00     0.05       0.00     0.07
 33  10.0807      0.00     0.29       0.00     0.27
 34  10.7440      0.00     0.11       0.00    -0.22
 35  10.9215      0.00    -0.05       0.00    -0.03
 36  10.9216      0.00     0.07       0.00    -0.08
 37  10.9216      0.00     0.10       0.00    -0.01
 38  10.9217      0.00    -0.03       0.00     0.03
 39  10.9625      0.00    -0.10       0.00     0.10
 40  10.9984      0.00    -0.37       0.00     0.20
 41  12.0192      0.00    -0.23       0.00    -0.18
 42  12.0193      0.00     0.31       0.00     0.21
 43  12.0878      0.00    -0.12       0.00    -0.17
 44  12.0901      0.00    -0.03       0.00    -0.08
 45  12.0901      0.00    -0.13       0.00    -0.03
 46  12.0902      0.00    -0.15       0.00    -0.04
 47  12.0902      0.00    -0.25       0.00    -0.10
 48  12.9533      0.00     0.12       0.00     0.08
 49  12.9534      0.00    -0.19       0.00     0.08

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.

10MR116    quality flag:3

Type:          3:1EE     3:1EE     3:1EE

axisobj        63.741    63.741    63.741
ecceobj         0.406     0.406     0.406
incobj         19.523    19.523    19.523
qmin           36.470    36.683    36.675
qmax           90.521    90.595    90.531
amean          62.630    62.630    62.629
amin           61.617    61.612    61.552
amax           63.919    63.931    63.901
emean           0.400     0.400     0.400
emin            0.382     0.383     0.384
emax            0.418     0.417     0.417
imean          19.879    19.909    19.869
imin           19.286    19.388    19.430
imax           20.438    20.425    20.425
excite_mean     0.525     0.525     0.525
fracstop        1.000     1.000     1.000
cjmean          2.966     2.966     2.966

libcent 0       178.8     180.8     181.5
libamp  0       175.9     173.9     174.4
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       153.5     153.2     157.2
kozaiamp        180.0     180.0     180.0