Orbit Fit and Astrometric record for 10RD188

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: 10RD188   
# Created Tue Oct 24 01:37:51 2017
# Orbit generated from Bernstein formalism
# Fitting   20 observations of   20
# Arc:   3.24y
# First observation: 2010/09/08
#  Last observation: 2013/12/03
Preliminary a, adot, b, bdot, g, gdot:
   0.000078   0.025989   0.000005   0.005024   0.026277   0.000000
# Chi-squared of fit:    12.54 DOF:   34 RMS:  0.14
# Min/Max residuals:    -0.28    0.38
# Exact a, adot, b, bdot, g, gdot:
  1.508151E-05  2.593703E-02  3.729553E-06  5.045904E-03  2.602496E-02 -1.289443E-03
# Covariance matrix:
  1.7993E-13 -6.7914E-14  1.5609E-15 -2.1220E-14  1.7304E-13 -8.4048E-13
 -6.7914E-14  2.3347E-12 -7.2238E-14  6.7199E-13  5.2016E-13  3.6825E-11
  1.5609E-15 -7.2238E-14  1.3720E-13 -6.7637E-14 -1.2843E-14 -1.1663E-12
 -2.1220E-14  6.7199E-13 -6.7637E-14  2.3601E-13  9.2863E-14  1.0923E-11
  1.7304E-13  5.2016E-13 -1.2843E-14  9.2863E-14  8.2418E-13  6.3690E-12
 -8.4048E-13  3.6825E-11 -1.1663E-12  1.0923E-11  6.3690E-12  5.9503E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
  -26.546703   -0.708848    0.237615   -0.435588   -0.871801  2455447.978216
# Heliocentric elements and errors
Epoch:              2455440.5000  =  2010/09/01
Mean Anomaly:          305.52022 +/-     0.410
Argument of Peri:      351.68127 +/-     0.516
Long of Asc Node:       65.21557 +/-     0.001
Inclination:            27.94363 +/-     0.000
Eccentricity:         0.06202557 +/-    0.0008
Semi-Major Axis:     40.66042043 +/-    0.0053
Time of Perihelion: 2469771.9148 +/-     107.7
Perihelion:          38.13843475 +/-    0.0320
Aphelion:            43.18240611 +/-    0.0321
Period (y)              259.2782 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.34673739 +/-    0.0012
Ecliptic Y           -0.67575676 +/-    0.0000
Ecliptic Z          -17.17287359 +/-    0.0006
Ecliptic XDOT         0.00015017 +/-    0.0000
Ecliptic YDOT         0.00273330 +/-    0.0000
Ecliptic ZDOT         0.00053547 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.30338508 +/-    0.0011
Geocenter to KBO     38.42465032 +/-    0.0013
# Hcoef:  6.21

The following table shows the complete astrometric record for 10RD188. 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 (10RD188) followed by the observatory code and reference code for the source of the astrometry.

2010 09  08.47745  00 42 27.298  -24 29 04.84  22.3g 10RD188   F51  C~1w3j      
2010 09  08.48850  00 42 27.224  -24 29 05.26  22.4g 10RD188   F51  C~1w3j      
2010 09  08.50184  00 42 27.159  -24 29 05.60  21.8r 10RD188   F51  C~1w3j      
2010 09  08.51364  00 42 27.111  -24 29 06.24  21.8r 10RD188   F51  C~1w3j      
2010 09  18.45746  00 41 38.076  -24 35 01.95  21.4i 10RD188   F51  C~1w3j      
2010 09  18.46888  00 41 38.016  -24 35 02.21  21.7i 10RD188   F51  C~1w3j      
2010 10  09.38041  00 39 47.407  -24 44 03.82  21.9g 10RD188   F51  C~1w3j      
2010 10  09.39230  00 39 47.325  -24 44 03.86  21.6g 10RD188   F51  C~1w3j      
2010 10  12.39089  00 39 31.416  -24 44 53.95  21.8r 10RD188   F51  C~1w3j      
2010 10  12.40194  00 39 31.357  -24 44 53.57  22.1r 10RD188   F51  C~1w3j      
2010 10  22.34280  00 38 39.929  -24 46 43.05  21.1i 10RD188   F51  C~1w3j      
2012 09  06.53985  00 53 06.473  -22 37 18.53  21.0i 10RD188   F51  C~1w3j      
2012 09  06.55183  00 53 06.445  -22 37 19.16  21.3i 10RD188   F51  C~1w3j      
2013 10  21.43754  00 54 30.839  -22 01 08.31  21.5i 10RD188   F51  C~1w3j      
2013 10  21.43950  00 54 30.816  -22 01 08.45  21.2i 10RD188   F51  C~1w3j      
2013 10  21.45056  00 54 30.759  -22 01 08.43  21.2i 10RD188   F51  C~1w3j      
2013 10  21.45254  00 54 30.744  -22 01 08.58  21.2i 10RD188   F51  C~1w3j      
2013 10  28.37421  00 53 55.964  -22 02 03.64  22.0g 10RD188   F51  C~1w3j      
2013 11  28.28206  00 51 51.377  -21 57 09.88  21.4r 10RD188   F51  C~1w3j      
2013 12  03.23127  00 51 38.069  -21 55 01.90  21.8g 10RD188   F51  C~1w3j      

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     0.14       0.00    -0.14
  2   0.0000     -1.09    -0.11       0.06    -0.01
  3   0.0001     -2.04    -0.05       0.15     0.15
  4   0.0001     -2.91    -0.02      -0.14    -0.07
  5   0.0273   -760.18     0.03     -28.21    -0.16
  6   0.0274   -761.03     0.07     -28.09    -0.06
  7   0.0846  -2354.57     0.01     138.73    -0.12
  8   0.0846  -2355.60    -0.12     139.18     0.14
  9   0.0928  -2572.71    -0.03     187.75    -0.11
 10   0.0929  -2573.27     0.22     188.44     0.38
 11   0.1201  -3252.55    -0.13     392.00     0.08
 12   1.9961  10865.97    -0.12    2090.69     0.08
 13   1.9961  10865.34     0.14    2090.31    -0.22
 14   3.1183  12902.86     0.07    3494.74    -0.03
 15   3.1183  12902.51    -0.14    3494.76    -0.06
 16   3.1183  12901.82    -0.06    3495.14     0.06
 17   3.1183  12901.56    -0.18    3495.10    -0.03
 18   3.1373  12444.19    -0.03    3666.36    -0.28
 19   3.2219  11028.36     0.19    4714.76     0.16
 20   3.2355  10920.68     0.13    4912.86     0.25

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.

10RD188    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.639    40.654    40.623
ecceobj         0.063     0.063     0.063
incobj         27.943    27.943    27.943
qmin           37.264    37.276    37.210
qmax           43.874    43.889    43.891
amean          40.464    40.478    40.452
amin           40.164    40.178    40.135
amax           40.780    40.804    40.769
emean           0.063     0.063     0.064
emin            0.052     0.051     0.052
emax            0.076     0.076     0.077
imean          26.521    26.524    26.518
imin           26.114    26.111    26.129
imax           26.934    26.936    26.918
excite_mean     0.451     0.451     0.451
fracstop        1.000     1.000     1.000
cjmean          2.815     2.815     2.815

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       174.2     173.4     176.4
kozaiamp        179.9     180.0     180.0