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 Mar 29 01:13:55 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     31 observations of     31
# Arc:  13.49y
# First observation: 2007/08/11
#  Last observation: 2021/02/05
# Chi-squared of fit:    64.47 DOF:     56 RMS:  0.25
# Min/Max residuals:    -0.85    1.06
# Exact a, adot, b, bdot, g, gdot:
  3.823912E-05  3.454858E-01 -9.114242E-06 -8.855940E-02  1.429217E-01 -5.589430E-03
# Covariance matrix:
  2.4017E-10 -5.3477E-08 -9.6852E-11  1.4003E-08 -6.4444E-09 -7.3300E-08
 -5.3477E-08  1.2024E-05  2.1690E-08 -3.1496E-06  1.4431E-06  1.6487E-05
 -9.6852E-11  2.1690E-08  4.0753E-11 -5.6809E-09  2.6147E-09  2.9730E-08
  1.4003E-08 -3.1496E-06 -5.6809E-09  8.2692E-07 -3.7785E-07 -4.3192E-06
 -6.4444E-09  1.4431E-06  2.6147E-09 -3.7785E-07  1.7398E-07  1.9780E-06
 -7.3300E-08  1.6487E-05  2.9730E-08 -4.3192E-06  1.9780E-06  2.2609E-05
#      lat0       lon0       xBary       yBary       zBary        JD0
   36.447887  -13.248051    0.479128    0.529101   -0.716317  2454323.872053
# Heliocentric elements and errors
Epoch:              2454324.5000  =  2007/08/12
Mean Anomaly:          348.94023 +/-     0.009
Argument of Peri:      126.41185 +/-     0.000
Long of Asc Node:      230.59682 +/-     0.000
Inclination:            34.42712 +/-     0.000
Eccentricity:         0.22961661 +/-    0.0000
Semi-Major Axis:      9.96290612 +/-    0.0000
Time of Perihelion: 2454677.3750 +/-       0.3
Perihelion:           7.67525743 +/-    0.0003
Aphelion:            12.25055480 +/-    0.0003
Period (y)               31.4476 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            6.23453516 +/-    0.0000
Ecliptic Y           -1.96479147 +/-    0.0000
Ecliptic Z            4.15674518 +/-    0.0000
Ecliptic XDOT         0.00242016 +/-    0.0000
Ecliptic YDOT         0.00622897 +/-    0.0000
Ecliptic ZDOT        -0.00142835 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    7.74652242 +/-    0.0000
Geocenter to KBO      6.99687244 +/-    0.0000
# Hcoef: 12.50

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.

2007 08  11.371299 22 10 29.78   +28 08 50.6   21.3r 10VE21    T14  C~6o9E      
2007 09  07.300412 22 01 21.20   +27 21 09.4   21.2r 10VE21    T14  C~6o9E      
2007 09  07.341919 22 01 20.37   +27 21 02.1   21.1r 10VE21    T14  C~6o9E      
2009 01  18.110747 23 37 01.25   +22 07 04.6   21.7r 10VE21    645  C~6o9E      
2009 01  18.111576 23 37 01.27   +22 07 04.3   21.7i 10VE21    645  C~6o9E      
2009 01  18.114064 23 37 01.36   +22 07 04.4         10VE21    645  C~6o9E      
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      
2015 03  04.111889 05 50 56.23   -02 22 52.6         10VE21    W84  C~6o9E      
2015 03  04.113601 05 50 56.22   -02 22 52.3         10VE21    W84  C~6o9E      
2015 03  04.115309 05 50 56.23   -02 22 52.2         10VE21    W84  C~6o9E      
2015 03  04.117016 05 50 56.22   -02 22 52.0         10VE21    W84  C~6o9E      
2019 02  16.064612 08 28 49.25   -19 37 17.7         10VE21    W84  C~6o9E      
2021 02  05.076453 09 43 49.56   -24 55 35.6         10VE21    W84  C~6o9E      

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     0.07       0.00    -0.13
     2   0.0737      0.00     0.02       0.00    -0.13
     3   0.0738      0.00    -0.00       0.00    -0.05
     4   1.4394      0.00    -0.06       0.00    -0.03
     5   1.4394      0.00    -0.12       0.00    -0.28
     6   1.4394      0.00     0.14       0.00    -0.03
     7   3.1574      0.00    -0.12       0.00    -0.29
     8   3.1574      0.00     0.03       0.00    -0.07
     9   3.1627      0.00     0.50       0.00    -0.17
    10   3.1628      0.00     0.19       0.00    -0.35
    11   3.1791      0.00     0.06       0.00    -0.06
    12   3.1792      0.00     0.15       0.00    -0.14
    13   3.2309      0.00     0.09       0.00     0.03
    14   3.2309      0.00     0.02       0.00    -0.20
    15   3.2309      0.00    -0.03       0.00    -0.00
    16   3.2310      0.00     0.30       0.00    -0.05
    17   3.2334      0.00     0.02       0.00    -0.16
    18   3.2334      0.00     0.33       0.00    -0.02
    19   3.2335      0.00    -0.14       0.00     0.22
    20   3.2335      0.00    -0.08       0.00    -0.06
    21   3.2388      0.00    -0.44       0.00     0.34
    22   3.2388      0.00    -0.85       0.00     0.33
    23   3.2388      0.00    -0.35       0.00     0.13
    24   3.2573      0.00     0.13       0.00     1.06
    25   3.2575      0.00     0.32       0.00     0.25
    26   7.5612      0.00    -0.01       0.00    -0.24
    27   7.5612      0.00    -0.16       0.00    -0.12
    28   7.5612      0.00    -0.01       0.00    -0.20
    29   7.5612      0.00    -0.16       0.00    -0.18
    30  11.5173      0.00    -0.09       0.00    -0.02
    31  13.4886      0.00     0.13       0.00     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.

10VE21    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj         9.915     9.915     9.915
ecceobj         0.229     0.229     0.229
incobj         34.485    34.485    34.485
qmin            5.169     6.680     5.104
qmax           16.523    13.348    21.257
amean          10.109    10.011    10.999
amin            9.157     9.915     7.194
amax           11.147    10.099    13.428
emean           0.352     0.279     0.424
emin            0.229     0.229     0.229
emax            0.511     0.333     0.583
imean          31.467    33.151    29.360
imin           27.402    30.919    25.205
imax           35.367    35.367    35.367
excite_mean     0.634     0.615     0.653
fracstop        0.006     0.001     0.009
cjmean          3.906     3.941     3.736

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       115.3     122.1     220.6
kozaiamp         73.3       7.0     167.2