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 Tue Dec 12 02:37:40 2017
# Orbit generated from Bernstein formalism
# Fitting   23 observations of   25
# Arc:   8.92y
# First observation: 2004/10/15
#  Last observation: 2013/09/15
Preliminary a, adot, b, bdot, g, gdot:
  -0.000931   0.029942  -0.000443   0.010410   0.024814   0.000000
# Chi-squared of fit:    17.76 DOF:   40 RMS:  0.16
# Min/Max residuals:    -0.31    0.36
# Exact a, adot, b, bdot, g, gdot:
  1.801674E-05  3.009327E-02  5.990993E-06  1.045516E-02  2.671371E-02  2.642934E-03
# Covariance matrix:
  7.1967E-13 -1.8651E-13  3.4577E-14 -3.5419E-14 -8.2630E-14 -3.9700E-13
 -1.8651E-13  1.2136E-13 -3.8046E-14  3.7514E-14  3.6107E-14  4.2015E-13
  3.4577E-14 -3.8046E-14  6.2685E-13 -9.7375E-14 -6.1888E-15 -1.4733E-13
 -3.5419E-14  3.7514E-14 -9.7375E-14  2.5903E-14  1.2638E-14  1.4536E-13
 -8.2630E-14  3.6107E-14 -6.1888E-15  1.2638E-14  2.5164E-13  1.4312E-13
 -3.9700E-13  4.2015E-13 -1.4733E-13  1.4536E-13  1.4312E-13  1.6280E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    4.185709    2.856890   -0.327949    0.069083   -0.942895  2453293.710113
# Heliocentric elements and errors
Epoch:              2453290.5000  =  2004/10/12
Mean Anomaly:            7.35038 +/-     0.003
Argument of Peri:      353.96232 +/-     0.007
Long of Asc Node:      351.78738 +/-     0.000
Inclination:            19.60333 +/-     0.000
Eccentricity:         0.39507504 +/-    0.0001
Semi-Major Axis:     62.52856974 +/-    0.0091
Time of Perihelion: 2449603.0706 +/-       1.4
Perihelion:          37.82509234 +/-    0.0074
Aphelion:            87.23204715 +/-    0.0136
Period (y)              494.4541 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           38.21134469 +/-    0.0007
Ecliptic Y            2.23698142 +/-    0.0001
Ecliptic Z            2.73252614 +/-    0.0001
Ecliptic XDOT         0.00003656 +/-    0.0000
Ecliptic YDOT         0.00308282 +/-    0.0000
Ecliptic ZDOT         0.00108854 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.37417945 +/-    0.0007
Geocenter to KBO     37.43395893 +/-    0.0007
# Hcoef:  6.67

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.

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      
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    -0.04       0.00     0.04
  2   0.0003     -6.71    -0.00       0.30    -0.02
  3   5.6656  40995.53    -0.24   11359.30     0.31
  4   5.6765  41176.74 (   0.69)  11427.15 (  -0.29)
  5   5.6765  41175.85    -0.24   11427.23    -0.22
  6   6.0454  35705.97     0.17   12840.77     0.11
  7   6.0454  35704.83     0.13   12840.59    -0.05
  8   6.0455  35703.54     0.05   12840.59    -0.02
  9   6.0455  35702.64     0.36   12840.67     0.07
 10   6.7088  47628.01     0.12   13730.97    -0.31
 11   6.8863  46247.09     0.02   14745.94    -0.05
 12   6.8863  46246.21     0.10   14746.01    -0.15
 13   6.8864  46245.31     0.17   14746.23    -0.09
 14   6.8864  46244.24     0.06   14746.49    -0.00
 15   6.9273  45206.91     0.00   14881.16     0.09
 16   6.9632  44191.03    -0.23   14957.45     0.28
 17   7.9840  49801.17    -0.22   17144.60    -0.09
 18   7.9841  49798.35 (   0.46)  17144.89 (   0.09)
 19   8.0526  47861.54    -0.14   17126.87    -0.12
 20   8.0549  47803.78    -0.02   17123.92    -0.07
 21   8.0549  47802.70    -0.09   17123.96     0.02
 22   8.0549  47801.67    -0.12   17123.92     0.02
 23   8.0550  47800.54    -0.24   17123.85    -0.01
 24   8.9181  57930.80     0.32   19193.48     0.08
 25   8.9181  57929.49     0.02   19193.71     0.18

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:2

Type:       SCATNEAR  SCATNEAR     3:1EE

axisobj        63.747    63.776    63.719
ecceobj         0.406     0.407     0.406
incobj         19.523    19.523    19.523
qmin           36.372    36.137    36.643
qmax           90.726    91.097    90.640
amean          62.628    62.543    62.633
amin           61.586    61.493    61.600
amax           63.949    64.022    63.948
emean           0.399     0.400     0.398
emin            0.380     0.376     0.381
emax            0.419     0.425     0.418
imean          19.976    19.684    20.049
imin           19.195    18.630    19.474
imax           20.716    20.699    20.652
excite_mean     0.526     0.523     0.525
fracstop        1.000     1.000     1.000
cjmean          2.965     2.968     2.966

libcent 0      -180.0    -180.0     180.3
libamp  0      -180.0    -180.0     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       154.7     156.5     150.5
kozaiamp        180.0     180.0     180.0