Orbit Fit and Astrometric record for 19VD51

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: 19VD51    
# Created Tue Apr  1 01:11:17 2025
# Orbit generated from Bernstein formalism
# Fitting     64 observations of     64
# Arc:   4.45y
# First observation: 2015/07/17
#  Last observation: 2019/12/28
Preliminary a, adot, b, bdot, g, gdot:
   0.000115   0.020034  -0.000001  -0.000177   0.022004   0.000000
# Chi-squared of fit:    25.84 DOF:    122 RMS:  0.11
# Min/Max residuals:    -0.33    0.39
# Exact a, adot, b, bdot, g, gdot:
  1.413371E-05  2.010345E-02  9.058674E-07 -1.803085E-04  2.197645E-02  9.071427E-04
# Covariance matrix:
  8.5481E-13 -7.1797E-13 -1.1081E-14  8.9599E-15 -3.8377E-13 -7.4338E-12
 -7.1797E-13  7.4003E-13  1.1260E-14 -9.4076E-15  4.5588E-13  8.0143E-12
 -1.1081E-14  1.1260E-14  2.5841E-13 -6.5971E-14  3.5779E-15  1.4889E-13
  8.9599E-15 -9.4076E-15 -6.5971E-14  1.8553E-14 -4.1548E-15 -1.1653E-13
 -3.8377E-13  4.5588E-13  3.5779E-15 -4.1548E-15  3.9849E-13  4.3182E-12
 -7.4338E-12  8.0143E-12  1.4889E-13 -1.1653E-13  4.3182E-12  9.4027E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.999181  -10.349353    0.834977    0.030575   -0.580792  2457220.921972
# Heliocentric elements and errors
Epoch:              2457220.5000  =  2015/07/17
Mean Anomaly:          132.94257 +/-     0.562
Argument of Peri:      322.78344 +/-     0.559
Long of Asc Node:      249.83757 +/-     0.007
Inclination:             2.99613 +/-     0.000
Eccentricity:         0.03733907 +/-    0.0003
Semi-Major Axis:     44.91344304 +/-    0.0033
Time of Perihelion: 2416620.6421 +/-     171.7
Perihelion:          43.23641669 +/-    0.0138
Aphelion:            46.59046939 +/-    0.0139
Period (y)              301.0043 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           45.12040230 +/-    0.0013
Ecliptic Y           -9.08898923 +/-    0.0002
Ecliptic Z            2.38085610 +/-    0.0001
Ecliptic XDOT         0.00055985 +/-    0.0000
Ecliptic YDOT         0.00243699 +/-    0.0000
Ecliptic ZDOT        -0.00001646 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   46.08827296 +/-    0.0013
Geocenter to KBO     45.50324563 +/-    0.0013
# Hcoef:  7.60

The following table shows the complete astrometric record for 19VD51. 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 (19VD51) followed by the observatory code and reference code for the source of the astrometry.

2015 07  17.421183 23 17 14.856  -01 20 18.46  23.2r 19VD51    W84  C~8HVx      
2016 09  26.131628 23 17 19.022  -01 18 57.24  23.9g 19VD51    W84  C~8HVx      
2016 09  30.121056 23 17 03.538  -01 20 41.50  22.0z 19VD51    W84  C~8HVx      
2017 06  24.50513  23 26 08.57   -00 26 16.4   24.1i 19VD51    T09  C~7xXH      
2017 06  24.53163  23 26 08.56   -00 26 16.4   24.1i 19VD51    T09  C~7xXH      
2017 06  24.53430  23 26 08.56   -00 26 16.4   24.2i 19VD51    T09  C~7xXH      
2017 06  24.55844  23 26 08.55   -00 26 16.4   24.3i 19VD51    T09  C~7xXH      
2017 06  24.58263  23 26 08.55   -00 26 16.4   23.9i 19VD51    T09  C~7xXH      
2017 06  24.60699  23 26 08.53   -00 26 16.2   23.7i 19VD51    T09  C~7xXH      
2017 09  13.37649  23 22 28.31   -00 46 34.8   23.5y 19VD51    T09  C~7xXH      
2017 09  13.39385  23 22 28.21   -00 46 35.3   23.6y 19VD51    T09  C~7xXH      
2017 09  13.40812  23 22 28.16   -00 46 35.6   23.3y 19VD51    T09  C~7xXH      
2017 09  13.42241  23 22 28.12   -00 46 36.1   23.6y 19VD51    T09  C~7xXH      
2017 09  27.29732  23 21 32.17   -00 52 44.1   23.8z 19VD51    T09  C~7xXH      
2017 09  27.31134  23 21 32.13   -00 52 44.4   24.1z 19VD51    T09  C~7xXH      
2017 09  27.33946  23 21 32.00   -00 52 45.1   23.9z 19VD51    T09  C~7xXH      
2017 09  27.35362  23 21 31.94   -00 52 45.6   24.7z 19VD51    T09  C~7xXH      
2018 09  17.261343 23 26 30.254  -00 21 31.61  23.3i 19VD51    W84  C~8HVx      
2018 09  17.262720 23 26 30.242  -00 21 31.61  23.7r 19VD51    W84  C~8HVy      
2018 12  13.24540  23 23 15.71   -00 46 43.8   24.5i 19VD51    T09  C~7xXH      
2018 12  13.26046  23 23 15.74   -00 46 43.9   24.2i 19VD51    T09  C~7xXH      
2018 12  13.27891  23 23 15.75   -00 46 43.8   24.4i 19VD51    T09  C~7xXH      
2018 12  13.29363  23 23 15.76   -00 46 43.6   24.4i 19VD51    T09  C~7xXH      
2019 10  23.24670  23 28 34.45   -00 10 04.1   23.5z 19VD51    T09  C~7xXH      
2019 10  23.25018  23 28 34.44   -00 10 04.2   23.4z 19VD51    T09  C~7xXH      
2019 10  23.26073  23 28 34.40   -00 10 04.6   23.4z 19VD51    T09  C~7xXH      
2019 10  23.26421  23 28 34.39   -00 10 04.4   23.4z 19VD51    T09  C~7xXH      
2019 10  27.21331  23 28 22.74   -00 11 31.1   24.1r 19VD51    T09  C~7xXH      
2019 10  27.22075  23 28 22.73   -00 11 31.2   24.4r 19VD51    T09  C~7xXH      
2019 10  27.23054  23 28 22.70   -00 11 31.6   24.5r 19VD51    T09  C~7xXH      
2019 10  27.23299  23 28 22.69   -00 11 31.6   24.8r 19VD51    T09  C~7xXH      
2019 10  27.24280  23 28 22.67   -00 11 31.9   24.4r 19VD51    T09  C~7xXH      
2019 10  27.24524  23 28 22.65   -00 11 31.9   24.5r 19VD51    T09  C~7xXH      
2019 10  27.24768  23 28 22.65   -00 11 32.1   24.5r 19VD51    T09  C~7xXH      
2019 11  01.21232  23 28 09.30   -00 13 14.2   24.6g 19VD51    T09  C~7xXH      
2019 11  01.21475  23 28 09.30   -00 13 13.9   24.6g 19VD51    T09  C~7xXH      
2019 11  01.29245  23 28 09.10   -00 13 15.5   25.3g 19VD51    T09  C~7xXH      
2019 11  01.38109  23 28 08.85   -00 13 17.2   24.8g 19VD51    T09  C~7xXH      
2019 11  02.20667  23 28 06.80   -00 13 33.4   23.9i 19VD51    T09  C~7xXH      
2019 11  02.21016  23 28 06.80   -00 13 33.4   23.7i 19VD51    T09  C~7xXH      
2019 11  02.22066  23 28 06.77   -00 13 33.5   24.0i 19VD51    T09  C~7xXH      
2019 11  02.22416  23 28 06.75   -00 13 33.7   24.2i 19VD51    T09  C~7xXH      
2019 11  02.23475  23 28 06.73   -00 13 33.9   23.9i 19VD51    T09  C~7xXH      
2019 11  02.24883  23 28 06.69   -00 13 34.0   24.2i 19VD51    T09  C~7xXH      
2019 11  02.25232  23 28 06.68   -00 13 34.2   23.9i 19VD51    T09  C~7xXH      
2019 11  28.20735  23 27 26.28   -00 19 36.0   25.6g 19VD51    T09  C~7xXH      
2019 11  28.29526  23 27 26.20   -00 19 36.8   25.7g 19VD51    T09  C~7xXH      
2019 11  28.37254  23 27 26.18   -00 19 37.5   26.1g 19VD51    T09  C~7xXH      
2019 11  29.20579  23 27 25.74   -00 19 43.9   24.6r 19VD51    T09  C~7xXH      
2019 11  29.21579  23 27 25.74   -00 19 44.0   24.2r 19VD51    T09  C~7xXH      
2019 11  29.22581  23 27 25.73   -00 19 44.0   24.5r 19VD51    T09  C~7xXH      
2019 11  29.24429  23 27 25.73   -00 19 44.4   24.6r 19VD51    T09  C~7xXH      
2019 12  01.20076  23 27 24.94   -00 19 57.6   23.7i 19VD51    T09  C~7xXH      
2019 12  01.21144  23 27 24.94   -00 19 57.6   23.8i 19VD51    T09  C~7xXH      
2019 12  01.21493  23 27 24.94   -00 19 57.8   23.8i 19VD51    T09  C~7xXH      
2019 12  01.22561  23 27 24.92   -00 19 58.0   23.7i 19VD51    T09  C~7xXI      
2019 12  01.23967  23 27 24.93   -00 19 58.0   23.8i 19VD51    T09  C~7xXI      
2019 12  01.24319  23 27 24.93   -00 19 57.8   23.9i 19VD51    T09  C~7xXI      
2019 12  01.25018  23 27 24.93   -00 19 58.0   23.8i 19VD51    T09  C~7xXI      
2019 12  28.20871  23 27 46.42   -00 19 38.9   25.7g 19VD51    T09  C~7xXI      
2019 12  28.21120  23 27 46.42   -00 19 38.7   25.2g 19VD51    T09  C~7xXI      
2019 12  28.24368  23 27 46.48   -00 19 38.5   25.5g 19VD51    T09  C~7xXI      
2019 12  28.24615  23 27 46.49   -00 19 38.4   25.5g 19VD51    T09  C~7xXI      
2019 12  28.27003  23 27 46.55   -00 19 38.0   25.6g 19VD51    T09  C~7xXI      

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    -0.21
     2   1.1956     89.28    -0.07      50.29     0.05
     3   1.2066   -165.20    -0.04      45.23     0.04
     4   1.9386   8640.00     0.06    -152.86     0.04
     5   1.9387   8639.86     0.01    -152.80    -0.01
     6   1.9387   8639.86     0.02    -152.80    -0.02
     7   1.9388   8639.72    -0.02    -152.74    -0.06
     8   1.9388   8639.72     0.07    -152.74    -0.16
     9   1.9389   8639.52    -0.03    -152.44     0.04
    10   2.1600   5119.06     0.11      21.01    -0.01
    11   2.1601   5117.49    -0.29      21.14     0.11
    12   2.1601   5116.68    -0.13      21.16     0.12
    13   2.1602   5115.93     0.09      20.93    -0.10
    14   2.1982   4199.21    -0.00      11.11    -0.00
    15   2.1982   4198.54     0.24      11.06    -0.03
    16   2.1983   4196.47     0.02      11.18     0.11
    17   2.1983   4195.45    -0.08      11.08     0.01
    18   3.1700   9051.60    -0.03     -18.22    -0.01
    19   3.1700   9051.44    -0.10     -18.15     0.06
    20   3.4081   5770.08    -0.16    -265.94     0.20
    21   3.4082   5770.46     0.06    -266.21    -0.01
    22   3.4082   5770.63     0.04    -266.18     0.09
    23   3.4083   5770.85     0.11    -266.05     0.27
    24   4.2678  11039.65     0.07    -116.11     0.03
    25   4.2678  11039.47     0.07    -116.14     0.00
    26   4.2679  11038.76    -0.09    -116.28    -0.10
    27   4.2679  11038.70     0.03    -116.03     0.15
    28   4.2787  10843.40    -0.10    -127.30     0.15
    29   4.2787  10843.23     0.09    -127.34     0.13
    30   4.2787  10842.65    -0.01    -127.53    -0.04
    31   4.2787  10842.52    -0.03    -127.47     0.03
    32   4.2788  10842.12     0.05    -127.63    -0.10
    33   4.2788  10841.84    -0.10    -127.51     0.02
    34   4.2788  10841.77    -0.06    -127.70    -0.16
    35   4.2924  10616.91    -0.08    -143.14    -0.33
    36   4.2924  10617.03     0.14    -142.87    -0.05
    37   4.2926  10613.64     0.15    -143.16    -0.13
    38   4.2928  10609.51    -0.10    -143.26     0.02
    39   4.2951  10574.78    -0.11    -146.11    -0.10
    40   4.2951  10574.78     0.04    -146.11    -0.09
    41   4.2951  10574.32     0.04    -146.02     0.02
    42   4.2951  10573.97    -0.17    -146.09    -0.03
    43   4.2952  10573.61    -0.07    -146.16    -0.07
    44   4.2952  10573.02    -0.06    -146.01     0.11
    45   4.2952  10572.80    -0.13    -146.14    -0.00
    46   4.3663   9871.77     0.23    -241.53     0.10
    47   4.3665   9870.35    -0.14    -241.79     0.15
    48   4.3667   9869.80     0.20    -242.32    -0.09
    49   4.3690   9861.20    -0.09    -245.62     0.01
    50   4.3690   9861.16    -0.02    -245.72    -0.04
    51   4.3691   9861.02    -0.05    -245.66     0.05
    52   4.3691   9860.86    -0.01    -246.03    -0.25
    53   4.3745   9844.75    -0.03    -253.53     0.14
    54   4.3745   9844.75     0.06    -253.53     0.18
    55   4.3745   9844.67     0.00    -253.72     0.01
    56   4.3746   9844.31    -0.27    -253.78    -0.02
    57   4.3746   9844.45    -0.02    -253.84    -0.02
    58   4.3746   9844.53     0.09    -253.66     0.17
    59   4.3746   9844.45     0.07    -253.84     0.01
    60   4.4484  10149.20    -0.01    -362.77    -0.24
    61   4.4484  10149.28    -0.00    -362.59    -0.04
    62   4.4485  10150.19    -0.02    -362.76    -0.10
    63   4.4485  10150.37     0.08    -362.73    -0.06
    64   4.4486  10151.35     0.39    -362.71     0.04

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.

19VD51    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        45.287    45.297    45.276
ecceobj         0.031     0.031     0.030
incobj          2.997     2.997     2.997
qmin           42.961    42.948    42.973
qmax           47.545    47.576    47.495
amean          45.158    45.187    45.143
amin           44.793    44.816    44.795
amax           45.512    45.532    45.505
emean           0.032     0.032     0.031
emin            0.019     0.020     0.018
emax            0.045     0.045     0.044
imean           4.636     4.636     4.637
imin            4.170     4.161     4.161
imax            5.012     5.017     5.025
excite_mean     0.087     0.087     0.087
fracstop        1.000     1.000     1.000
cjmean          3.106     3.107     3.106

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       182.2     182.1     182.0
kozaiamp        180.0     179.9     180.0