Orbit Fit and Astrometric record for 10RM45

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: 10RM45    
# Created Tue Dec 12 02:37:40 2017
# Orbit generated from Bernstein formalism
# Fitting   15 observations of   15
# Arc: 111.66d
# First observation: 2010/08/18
#  Last observation: 2010/12/08
Preliminary a, adot, b, bdot, g, gdot:
  -0.000035   0.026393   0.000048  -0.004379   0.024835   0.000000
# Chi-squared of fit:   470.49 DOF:   24 RMS:  0.99
# Min/Max residuals:    -1.40    2.53
# Exact a, adot, b, bdot, g, gdot:
  9.591984E-06  2.344802E-02 -1.182644E-05 -3.200098E-03  2.446034E-02 -1.166209E-02
# Covariance matrix:
  5.4167E-13 -3.6426E-12 -7.0035E-14  1.1745E-12  1.1529E-12  3.1573E-10
 -3.6426E-12  5.0330E-10  9.5262E-12 -1.9832E-10  4.5939E-11 -1.6561E-08
 -7.0035E-14  9.5262E-12  3.8431E-13 -4.9565E-12  8.0376E-13 -3.3566E-10
  1.1745E-12 -1.9832E-10 -4.9565E-12  9.2312E-11 -1.7927E-11  6.7905E-09
  1.1529E-12  4.5939E-11  8.0376E-13 -1.7927E-11  1.0152E-11 -5.8061E-10
  3.1573E-10 -1.6561E-08 -3.3566E-10  6.7905E-09 -5.8061E-10  7.1864E-07
#      lat0       lon0       xBary       yBary       zBary        JD0
  -17.876220  -27.319575    0.131498   -0.306796   -0.951050  2455426.942196
# Heliocentric elements and errors
Epoch:              2455420.5000  =  2010/08/12
Mean Anomaly:          323.61255 +/-     2.861
Argument of Peri:      337.96956 +/-     0.233
Long of Asc Node:       86.56188 +/-     0.030
Inclination:            19.00233 +/-     0.004
Eccentricity:         0.49388089 +/-    0.0358
Semi-Major Axis:     54.92402823 +/-    2.6445
Time of Perihelion: 2470448.1537 +/-     466.8
Perihelion:          27.79810011 +/-    2.3803
Aphelion:            82.04995636 +/-    4.4137
Period (y)              407.0538 +/-     29.40
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.40063463 +/-    0.0045
Ecliptic Y          -18.43391994 +/-    0.0023
Ecliptic Z          -12.54978820 +/-    0.0016
Ecliptic XDOT         0.00000389 +/-    0.0001
Ecliptic YDOT         0.00295871 +/-    0.0000
Ecliptic ZDOT         0.00005977 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.83911472 +/-    0.0040
Geocenter to KBO     40.88250690 +/-    0.0053
# Hcoef:  6.52

The following table shows the complete astrometric record for 10RM45. 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 (10RM45) followed by the observatory code and reference code for the source of the astrometry.

2010 08  18.44143  22 47 02.587  -27 05 21.60  21.6i 10RM45    F51  C~1w3j      
2010 08  18.46731  22 47 02.464  -27 05 22.62  22.5r 10RM45    F51  C~1w3j      
2010 09  03.41954  22 45 43.616  -27 13 21.41  22.1r 10RM45    F51  C~1w3j      
2010 09  03.43055  22 45 43.565  -27 13 21.86  22.2r 10RM45    F51  C~1w3j      
2010 09  05.12251  22 45 35.185  -27 14 05.71  22.6R 10RM45    809  C~0MhP      
2010 09  05.21289  22 45 34.695  -27 14 08.08  22.2R 10RM45    809  C~0MhP      
2010 09  05.29589  22 45 34.255  -27 14 10.17  22.3R 10RM45    809  C~0MhP      
2010 09  08.00623  22 45 20.724  -27 15 16.52        10RM45    809  C~0MhP      
2010 09  08.09001  22 45 20.294  -27 15 18.75        10RM45    809  C~0MhP      
2010 09  16.41925  22 44 39.230  -27 18 17.88  22.1i 10RM45    F51  C~1w3j      
2010 09  16.43015  22 44 39.179  -27 18 17.94  21.9i 10RM45    F51  C~1w3j      
2010 10  07.10086  22 43 07.27   -27 22 27.2         10RM45    807  C~0NnS      
2010 10  07.14539  22 43 07.17   -27 22 27.4         10RM45    807  C~0NnS      
2010 12  08.03237  22 41 43.56   -27 05 41.6         10RM45    807  C~0ev7      
2010 12  08.09842  22 41 43.71   -27 05 38.5         10RM45    807  C~0ev7      

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     1.15       0.00     2.01
  2   0.0001     -1.91     1.13      -0.28     1.84
  3   0.0437  -1157.83    -0.77     -23.52     0.05
  4   0.0438  -1158.64    -0.77     -23.66    -0.13
  5   0.0484  -1278.65     0.19     -19.87    -0.87
  6   0.0487  -1285.59    -0.21     -19.47    -0.78
  7   0.0489  -1291.80    -0.43     -19.08    -0.69
  8   0.0563  -1483.80    -0.42      -8.96    -0.41
  9   0.0565  -1489.95    -0.58      -8.75    -0.55
 10   0.0793  -2063.78    -1.40      41.82    -0.89
 11   0.0794  -2064.43    -1.31      42.03    -0.78
 12   0.1360  -3289.21     1.55     291.70     0.37
 13   0.1361  -3290.51     2.53     292.03    -0.02
 14   0.3055  -3927.55    -0.73    1652.31     0.18
 15   0.3057  -3924.50     0.09    1654.39     0.68

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.

10RM45    quality flag:1

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        54.868    64.653    48.828
ecceobj         0.495     0.597     0.393
incobj         19.029    19.028    19.030
qmin           27.277    25.240    29.646
qmax           85.049   106.729    68.010
amean          54.548    63.520    48.828
amin           52.284    61.057    48.828
amax           56.604    66.558    48.828
emean           0.491     0.591     0.393
emin            0.458     0.576     0.393
emax            0.506     0.604     0.393
imean          17.522    16.953    17.564
imin           17.312    16.235    17.564
imax           18.788    18.011    17.564
excite_mean     0.576     0.659     0.495
fracstop        0.058     0.126     0.000
cjmean          2.789     2.719     2.846

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       151.1     172.3     338.7
kozaiamp        179.7     179.9       0.0