Orbit Fit and Astrometric record for 10VK201

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: 10VK201   
# Created Mon Jul 16 01:37:48 2018
# Orbit generated from Bernstein formalism
# Fitting   41 observations of   41
# Arc:   7.13y
# First observation: 2010/11/03
#  Last observation: 2017/12/20
Preliminary a, adot, b, bdot, g, gdot:
   0.000017   0.017980   0.000006  -0.002915   0.021177   0.000000
# Chi-squared of fit:   118.08 DOF:   76 RMS:  0.30
# Min/Max residuals:    -1.15    0.63
# Exact a, adot, b, bdot, g, gdot:
  1.318881E-05  1.804062E-02 -3.408536E-06 -2.912354E-03  2.128759E-02  6.976432E-04
# Covariance matrix:
  1.3103E-13 -1.2624E-13 -1.1278E-14  1.7416E-14 -2.4641E-14 -9.4418E-13
 -1.2624E-13  2.0737E-13  2.6151E-14 -3.2505E-14 -7.1528E-14  1.8155E-12
 -1.1278E-14  2.6151E-14  6.4407E-14 -2.4616E-14 -2.7658E-14  2.6762E-13
  1.7416E-14 -3.2505E-14 -2.4616E-14  2.2238E-14  1.5967E-14 -3.1338E-13
 -2.4641E-14 -7.1528E-14 -2.7658E-14  1.5967E-14  3.7635E-13 -1.0466E-12
 -9.4418E-13  1.8155E-12  2.6762E-13 -3.1338E-13 -1.0466E-12  1.7666E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -27.993154   47.127601    0.112980   -0.461463   -0.868173  2455503.561566
# Heliocentric elements and errors
Epoch:              2455500.5000  =  2010/10/31
Mean Anomaly:          158.72757 +/-     0.123
Argument of Peri:       90.16323 +/-     0.117
Long of Asc Node:      156.32613 +/-     0.001
Inclination:            28.82531 +/-     0.000
Eccentricity:         0.10834840 +/-    0.0001
Semi-Major Axis:     43.40711056 +/-    0.0055
Time of Perihelion: 2409444.1390 +/-      34.6
Perihelion:          38.70401979 +/-    0.0056
Aphelion:            48.11020133 +/-    0.0067
Period (y)              285.9891 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           28.97691190 +/-    0.0008
Ecliptic Y           31.04225643 +/-    0.0009
Ecliptic Z          -22.04898311 +/-    0.0006
Ecliptic XDOT        -0.00176633 +/-    0.0000
Ecliptic YDOT         0.00151418 +/-    0.0000
Ecliptic ZDOT        -0.00037286 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   47.84810095 +/-    0.0008
Geocenter to KBO     46.97571866 +/-    0.0014
# Hcoef:  4.53

The following table shows the complete astrometric record for 10VK201. 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 (10VK201) followed by the observatory code and reference code for the source of the astrometry.

2010 11  03.06080  03 29 38.715  -09 58 30.82  20.9R 10VK201   809  C~0Ppb      
2010 11  03.19308  03 29 38.199  -09 58 33.96  20.9R 10VK201   809  C~0Ppb      
2010 11  03.27767  03 29 37.817  -09 58 35.65  21.0R 10VK201   809  C~0Ppb      
2010 11  05.05926  03 29 30.374  -09 59 16.33  20.9R 10VK201   809  C~0Ppb      
2010 11  05.18443  03 29 29.862  -09 59 19.46  21.1R 10VK201   809  C~0Ppb      
2010 11  05.26947  03 29 29.467  -09 59 21.37  20.9R 10VK201   809  C~0Ppb      
2010 12  09.05590  03 27 06.830  -10 05 36.45  21.2R 10VK201   807  C~0X6x      
2010 12  09.14973  03 27 06.463  -10 05 36.45  21.1R 10VK201   807  C~0X6x      
2010 12  09.23567  03 27 06.090  -10 05 36.42  21.1R 10VK201   807  C~0X6x      
2011 09  28.21413  03 35 55.82   -09 32 15.2   20.8R 10VK201   304  C~0Z9P      
2011 09  28.30638  03 35 55.58   -09 32 18.6         10VK201   304  C~0Z9P      
2011 09  28.40660  03 35 55.32   -09 32 22.8         10VK201   304  C~0Z9P      
2011 09  29.17517  03 35 53.43   -09 32 50.3         10VK201   304  C~0Z9P      
2011 09  29.25512  03 35 53.23   -09 32 53.2         10VK201   304  C~0Z9P      
2011 09  29.37898  03 35 52.92   -09 32 57.6         10VK201   304  C~0Z9P      
2011 09  30.28475  03 35 50.63   -09 33 30.5         10VK201   304  C~0Z9P      
2011 09  30.38214  03 35 50.37   -09 33 34.0         10VK201   304  C~0Z9P      
2011 09  30.40365  03 35 50.31   -09 33 34.7         10VK201   304  C~0Z9P      
2011 10  01.19281  03 35 48.27   -09 34 03.2         10VK201   304  C~0Z9P      
2011 10  01.27594  03 35 48.06   -09 34 06.2         10VK201   304  C~0Z9P      
2011 10  01.38057  03 35 47.77   -09 34 10.0         10VK201   304  C~0Z9P      
2011 10  20.16536  03 34 47.96   -09 44 36.0   20.8R 10VK201   304  C~0ZUc      
2011 10  20.33429  03 34 47.33   -09 44 41.1         10VK201   304  C~0ZUc      
2011 10  20.37977  03 34 47.15   -09 44 42.5         10VK201   304  C~0ZUc      
2011 10  21.13771  03 34 44.37   -09 45 05.1         10VK201   304  C~0ZUc      
2011 10  21.33081  03 34 43.64   -09 45 10.9         10VK201   304  C~0ZUc      
2011 10  21.38370  03 34 43.44   -09 45 12.4         10VK201   304  C~0ZUc      
2011 10  22.12109  03 34 40.71   -09 45 34.1         10VK201   304  C~0ZUc      
2011 10  22.21000  03 34 40.35   -09 45 36.9         10VK201   304  C~0ZUc      
2011 10  22.38292  03 34 39.69   -09 45 41.4         10VK201   304  C~0ZUc      
2011 10  24.17775  03 34 32.89   -09 46 33.6         10VK201   304  C~0ZUc      
2011 10  24.34716  03 34 32.24   -09 46 38.0         10VK201   304  C~0ZUc      
2011 10  24.38139  03 34 32.17   -09 46 40.3         10VK201   304  C~0ZUc      
2012 11  07.352091 03 37 45.63   -09 44 59.1   21.5R 10VK201   G89  C~0kjf      
2012 11  07.361204 03 37 45.59   -09 44 59.3   20.7R 10VK201   G89  C~0kjf      
2012 11  07.370316 03 37 45.55   -09 44 59.5   20.9R 10VK201   G89  C~0kjf      
2012 11  08.348900 03 37 41.40   -09 45 19.5   20.8R 10VK201   G89  C~0kjf      
2012 11  08.358016 03 37 41.36   -09 45 19.7   21.0R 10VK201   G89  C~0kjf      
2012 11  08.367132 03 37 41.32   -09 45 19.9   21.3R 10VK201   G89  C~0kjf      
2017 12  20.30140  03 55 42.283  -09 10 05.40  21.3R 10VK201   G37  C~2UwQ      
2017 12  20.37294  03 55 42.004  -09 10 04.98        10VK201   G37  C~2UwQ      

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     0.04       0.00     0.26
  2   0.0004     -8.19     0.63      -0.92     0.01
  3   0.0006    -14.08     0.37      -1.00     0.36
  4   0.0055   -130.98     0.34      -9.91    -0.24
  5   0.0058   -139.12     0.55     -10.84    -0.68
  6   0.0060   -145.25     0.09     -11.07    -0.60
  7   0.0985  -2274.31    -0.18     205.05    -0.25
  8   0.0988  -2279.53    -0.09     206.53    -0.33
  9   0.0990  -2284.82    -0.52     208.06    -0.23
 10   0.9012   5794.57     0.27     -30.49     0.24
 11   0.9014   5790.21     0.12     -32.76     0.25
 12   0.9017   5785.34    -0.16     -35.72    -0.24
 13   0.9038   5750.79    -0.15     -54.33     0.23
 14   0.9040   5747.14    -0.09     -56.29     0.23
 15   0.9044   5741.50     0.05     -59.23     0.29
 16   0.9068   5699.76     0.04     -81.37     0.18
 17   0.9071   5695.08    -0.00     -83.66     0.20
 18   0.9072   5694.03    -0.03     -84.09     0.29
 19   0.9093   5657.08    -0.07    -103.04     0.21
 20   0.9096   5653.25     0.12    -105.05     0.15
 21   0.9098   5648.07     0.00    -107.50     0.14
 22   0.9613   4623.53    -0.18    -462.16     0.15
 23   0.9617   4613.16    -0.17    -464.47     0.13
 24   0.9619   4610.21    -0.32    -465.07     0.14
 25   0.9639   4564.42    -0.27    -475.33     0.16
 26   0.9645   4552.44    -0.30    -477.90     0.10
 27   0.9646   4549.18    -0.28    -478.52     0.16
 28   0.9666   4504.35    -0.17    -488.12     0.14
 29   0.9669   4498.46    -0.53    -489.33     0.05
 30   0.9673   4487.83    -0.37    -490.94     0.57
 31   0.9723   4376.70    -0.49    -513.10     0.05
 32   0.9727   4366.24    -0.22    -514.65     0.39
 33   0.9728   4364.61     0.31    -516.57    -1.15
 34   2.0131   7141.08     0.34   -1219.09    -0.25
 35   2.0131   7140.45     0.33   -1219.11    -0.25
 36   2.0132   7139.83     0.31   -1219.14    -0.26
 37   2.0158   7075.25     0.27   -1221.12    -0.20
 38   2.0159   7074.63     0.26   -1221.14    -0.21
 39   2.0159   7074.00     0.24   -1221.17    -0.22
 40   7.1300  23097.71    -0.01   -3798.49     0.03
 41   7.1302  23093.84    -0.09   -3796.86    -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.

10VK201    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        43.559    43.576    43.542
ecceobj         0.105     0.105     0.105
incobj         28.817    28.817    28.816
qmin           37.962    38.031    37.978
qmax           48.861    48.844    48.836
amean          43.294    43.310    43.277
amin           42.942    42.971    42.927
amax           43.672    43.688    43.636
emean           0.106     0.105     0.106
emin            0.092     0.092     0.092
emax            0.120     0.119     0.120
imean          28.026    28.026    28.026
imin           27.706    27.709    27.712
imax           28.380    28.359    28.378
excite_mean     0.482     0.482     0.482
fracstop        1.000     1.000     1.000
cjmean          2.801     2.802     2.801

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       187.6     187.3     187.6
kozaiamp        180.0     179.9     180.0