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 Fri Dec  3 02:10:58 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     25 observations of     25
# Arc:  11.07y
# First observation: 2010/08/18
#  Last observation: 2021/09/13
# Chi-squared of fit:    77.93 DOF:     44 RMS:  0.31
# Min/Max residuals:    -0.60    1.07
# Exact a, adot, b, bdot, g, gdot:
  1.784926E-05  2.514524E-02 -3.162478E-06 -3.434107E-03  2.477817E-02 -2.607971E-03
# Covariance matrix:
  1.9620E-13 -6.1982E-14 -6.7968E-15  5.5771E-15  1.9131E-13 -1.7606E-13
 -6.1982E-14  1.5002E-13  7.5557E-15 -1.9889E-14  2.5847E-15  5.5133E-13
 -6.7968E-15  7.5557E-15  1.0490E-13 -1.2045E-14 -1.0686E-14  2.7490E-14
  5.5771E-15 -1.9889E-14 -1.2045E-14  5.6020E-15 -3.7160E-15 -7.4788E-14
  1.9131E-13  2.5847E-15 -1.0686E-14 -3.7160E-15  4.9709E-13  4.7515E-14
 -1.7606E-13  5.5133E-13  2.7490E-14 -7.4788E-14  4.7515E-14  2.0689E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -17.876220  -27.319575    0.131499   -0.306796   -0.951049  2455426.942196
# Heliocentric elements and errors
Epoch:              2455426.5000  =  2010/08/18
Mean Anomaly:          323.21063 +/-     0.024
Argument of Peri:      296.02823 +/-     0.033
Long of Asc Node:       87.01502 +/-     0.000
Inclination:            19.05936 +/-     0.000
Eccentricity:         0.15601482 +/-    0.0001
Semi-Major Axis:     46.64873659 +/-    0.0064
Time of Perihelion: 2467319.1349 +/-      22.7
Perihelion:          39.37084243 +/-    0.0064
Aphelion:            53.92663075 +/-    0.0081
Period (y)              318.6163 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           34.95746202 +/-    0.0010
Ecliptic Y          -18.20462030 +/-    0.0005
Ecliptic Z          -12.38847709 +/-    0.0004
Ecliptic XDOT         0.00092879 +/-    0.0000
Ecliptic YDOT         0.00265412 +/-    0.0000
Ecliptic ZDOT        -0.00027270 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.31479771 +/-    0.0009
Geocenter to KBO     40.35819507 +/-    0.0011
# Hcoef:  6.18

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      
2011 09  24.264694 22 50 21.39   -26 56 53.8         10RM45    309  C~4qDt      
2011 09  24.265736 22 50 21.38   -26 56 53.9         10RM45    309  C~4qDt      
2011 10  02.027707 22 49 46.51   -26 58 31.0         10RM45    309  C~4qDt      
2011 10  02.028822 22 49 46.50   -26 58 30.6         10RM45    309  C~4qDt      
2019 06  10.344225 23 44 40.58   -22 09 11.6         10RM45    W84  C~4qDt      
2019 06  10.360938 23 44 40.60   -22 09 11.7         10RM45    W84  C~4qDt      
2019 09  08.148113 23 41 27.12   -23 01 08.2         10RM45    W84  C~4qDt      
2019 09  08.149491 23 41 27.12   -23 01 08.4         10RM45    W84  C~4qDt      
2019 09  08.159097 23 41 27.07   -23 01 08.6         10RM45    W84  C~4qDt      
2021 09  13.418056 23 53 15.796  -21 55 45.27  22.2w 10RM45    F51  C~52ML      
2021 09  13.428814 23 53 15.756  -21 55 45.37  22.3w 10RM45    F51  C~52ML      
2021 09  13.450266 23 53 15.651  -21 55 45.99  22.1w 10RM45    F51  C~52ML      

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    -0.47       0.00     0.04
     2   0.0001      0.00    -0.42       0.00    -0.12
     3   0.0437      0.00    -0.41       0.00     0.11
     4   0.0438      0.00    -0.33       0.00    -0.05
     5   0.0484      0.00     1.07       0.00    -0.19
     6   0.0487      0.00     0.63       0.00    -0.25
     7   0.0489      0.00     0.37       0.00    -0.25
     8   0.0563      0.00     0.36       0.00     0.24
     9   0.0565      0.00     0.26       0.00     0.05
    10   0.0793      0.00    -0.39       0.00    -0.27
    11   0.0794      0.00    -0.35       0.00    -0.12
    12   0.1360      0.00    -0.60       0.00     0.33
    13   0.1361      0.00     0.58       0.00     0.34
    14   1.1001      0.00     0.18       0.00     0.08
    15   1.1001      0.00     0.10       0.00    -0.00
    16   1.1214      0.00    -0.35       0.00    -0.22
    17   1.1214      0.00    -0.42       0.00     0.19
    18   8.8101      0.00     0.01       0.00    -0.06
    19   8.8102      0.00    -0.10       0.00     0.19
    20   9.0560      0.00     0.00       0.00     0.17
    21   9.0560      0.00     0.10       0.00     0.01
    22   9.0560      0.00     0.06       0.00     0.12
    23  11.0718      0.00    -0.16       0.00    -0.30
    24  11.0718      0.00     0.04       0.00    -0.07
    25  11.0719      0.00     0.07       0.00    -0.02

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:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        46.524    46.523    46.524
ecceobj         0.156     0.156     0.156
incobj         19.084    19.084    19.084
qmin           38.647    38.647    38.650
qmax           54.507    54.496    54.496
amean          46.374    46.373    46.374
amin           45.982    45.984    45.981
amax           46.816    46.806    46.817
emean           0.150     0.150     0.150
emin            0.137     0.137     0.137
emax            0.164     0.164     0.164
imean          17.516    17.516    17.516
imin           17.115    17.117    17.115
imax           17.812    17.810    17.819
excite_mean     0.336     0.336     0.336
fracstop        1.000     1.000     1.000
cjmean          2.990     2.990     2.990

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       178.3     178.1     178.0
kozaiamp        180.0     180.0     180.0