Orbit Fit and Astrometric record for 10VE21

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: 10VE21    
# Created Fri Dec  3 02:11:05 2021
# Orbit generated from Bernstein formalism
# Fitting     19 observations of     19
# Arc:  36.56d
# First observation: 2010/10/07
#  Last observation: 2010/11/13
Preliminary a, adot, b, bdot, g, gdot:
   0.000034   0.239094   0.000016  -0.190867   0.135087   0.000000
# Chi-squared of fit:    35.08 DOF:     32 RMS:  0.24
# Min/Max residuals:    -0.63    0.61
# Exact a, adot, b, bdot, g, gdot:
  3.286514E-05  2.757744E-01 -2.163384E-05 -1.899710E-01  1.400287E-01  5.618987E-02
# Covariance matrix:
  3.8005E-13 -8.5091E-11  4.2959E-14  4.7626E-13 -1.2272E-11  9.9869E-11
 -8.5091E-11  7.9705E-07 -2.1479E-10 -3.3388E-08  1.3532E-07  7.6402E-07
  4.2959E-14 -2.1479E-10  3.5773E-13  4.4334E-12 -3.6052E-11 -1.5769E-10
  4.7626E-13 -3.3388E-08  4.4334E-12  1.5745E-09 -5.7268E-09 -3.8721E-08
 -1.2272E-11  1.3532E-07 -3.6052E-11 -5.7268E-09  2.3006E-08  1.3324E-07
  9.9869E-11  7.6402E-07 -1.5769E-10 -3.8721E-08  1.3324E-07  1.1398E-06
#      lat0       lon0       xBary       yBary       zBary        JD0
    8.647927   42.710701    0.474981    0.131573   -0.865137  2455477.121076
# Heliocentric elements and errors
Epoch:              2455470.5000  =  2010/10/01
Mean Anomaly:           24.88385 +/-     0.232
Argument of Peri:      126.12381 +/-     0.465
Long of Asc Node:      230.62495 +/-     0.032
Inclination:            34.41907 +/-     0.085
Eccentricity:         0.23271569 +/-    0.0035
Semi-Major Axis:      9.99185293 +/-    0.0231
Time of Perihelion: 2454673.0884 +/-       6.9
Perihelion:           7.66659202 +/-    0.0390
Aphelion:            12.31711385 +/-    0.0449
Period (y)               31.5847 +/-      0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            6.15699390 +/-    0.0056
Ecliptic Y            5.03241157 +/-    0.0052
Ecliptic Z            1.07363465 +/-    0.0012
Ecliptic XDOT        -0.00244874 +/-    0.0000
Ecliptic YDOT         0.00508386 +/-    0.0000
Ecliptic ZDOT        -0.00350692 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    8.02411562 +/-    0.0054
Geocenter to KBO      7.14139224 +/-    0.0077
# Hcoef: 12.55

The following table shows the complete astrometric record for 10VE21. 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 (10VE21) followed by the observatory code and reference code for the source of the astrometry.

2010 10  07.62031  02 29 36.46   +23 52 20.0   21.7r 10VE21    F51  C~4qED      
2010 10  07.62849  02 29 36.32   +23 52 18.9   21.6r 10VE21    F51  C~4qED      
2010 10  09.55851  02 29 01.19   +23 47 05.4   22.0g 10VE21    F51  C~4qED      
2010 10  09.57062  02 29 00.94   +23 47 03.2         10VE21    F51  C~4qED      
2010 10  15.55538  02 27 06.10   +23 29 47.5   21.3i 10VE21    F51  C~4qED      
2010 10  15.56701  02 27 05.87   +23 29 45.3   21.3i 10VE21    F51  C~4qED      
2010 11  03.44554  02 20 33.04   +22 26 37.3   21.7w 10VE21    F51  C~0Ot2      
2010 11  03.45830  02 20 32.76   +22 26 34.3   21.9w 10VE21    F51  C~0Ot2      
2010 11  03.47113  02 20 32.48   +22 26 31.7   21.7w 10VE21    F51  C~0Ot2      
2010 11  03.48377  02 20 32.23   +22 26 28.9   21.7w 10VE21    F51  C~0Ot2      
2010 11  04.37708  02 20 13.42   +22 23 14.4   20.8R 10VE21    H01  C~0Ot2      
2010 11  04.38319  02 20 13.31   +22 23 13.2   20.6R 10VE21    H01  C~0Ot2      
2010 11  04.39202  02 20 13.09   +22 23 11.5   20.7R 10VE21    H01  C~0Ot2      
2010 11  04.40488  02 20 12.82   +22 23 08.4   21.1R 10VE21    H01  C~0Ot2      
2010 11  06.34451  02 19 32.25   +22 16 04.4   21.7V 10VE21    291  C~0X1R      
2010 11  06.35263  02 19 32.05   +22 16 02.6   21.5V 10VE21    291  C~0X1R      
2010 11  06.36123  02 19 31.90   +22 16 00.5         10VE21    291  C~0X1R      
2010 11  13.096502 02 17 14.66   +21 51 02.3         10VE21    I41  C~4qED      
2010 11  13.184911 02 17 12.89   +21 50 41.8         10VE21    I41  C~4qED      

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    -0.36       0.00     0.04
     2   0.0000     -2.17    -0.15      -0.43     0.21
     3   0.0053   -559.20     0.30    -143.12    -0.04
     4   0.0053   -563.15    -0.02    -144.11    -0.12
     5   0.0217  -2390.85     0.14    -616.15     0.12
     6   0.0218  -2394.56     0.19    -617.21     0.03
     7   0.0734  -8769.65     0.15   -2410.30    -0.11
     8   0.0735  -8774.32     0.01   -2411.83    -0.30
     9   0.0735  -8778.86     0.03   -2412.98    -0.10
    10   0.0735  -8783.07     0.31   -2414.47    -0.25
    11   0.0760  -9094.58     0.01   -2510.67    -0.29
    12   0.0760  -9096.42     0.32   -2511.29    -0.25
    13   0.0760  -9099.87    -0.01   -2511.87     0.12
    14   0.0761  -9104.45    -0.05   -2513.54    -0.16
    15   0.0814  -9778.50    -0.27   -2724.65     0.27
    16   0.0814  -9781.73    -0.63   -2725.41     0.39
    17   0.0814  -9784.40    -0.27   -2726.69     0.05
    18   0.0999 -12093.21     0.20   -3494.84     0.61
    19   0.1001 -12123.46     0.09   -3505.79    -0.21

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.

10VE21    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj         9.920    10.412     9.458
ecceobj         0.230     0.234     0.230
incobj         34.496    34.628    34.369
qmin            6.433     7.746     5.490
qmax           13.732    12.846    15.209
amean           9.998    10.209     9.553
amin            9.874    10.006     9.100
amax           10.178    10.412    10.460
emean           0.295     0.230     0.184
emin            0.230     0.226     0.048
emax            0.356     0.234     0.454
imean          32.935    35.541    34.927
imin           30.260    35.530    30.430
imax           35.379    35.553    36.848
excite_mean     0.620     0.625     0.607
fracstop        0.001     0.000     0.012
cjmean          3.942     3.874     4.058

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       122.2     115.1     193.2
kozaiamp          9.6       4.3     179.4