Orbit Fit and Astrometric record for 19EK7

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: 19EK7     
# Created Tue Apr  1 01:11:12 2025
# Orbit generated from Bernstein formalism
# Fitting     19 observations of     19
# Arc:   1.96y
# First observation: 2017/03/23
#  Last observation: 2019/03/08
Preliminary a, adot, b, bdot, g, gdot:
  -0.000052   0.024939   0.000001  -0.000429   0.024594   0.000000
# Chi-squared of fit:     6.12 DOF:     32 RMS:  0.10
# Min/Max residuals:    -0.23    0.20
# Exact a, adot, b, bdot, g, gdot:
  1.583066E-05  2.488934E-02 -3.986914E-08 -4.290090E-04  2.473106E-02 -9.403448E-04
# Covariance matrix:
  7.2339E-13 -1.0540E-12 -4.6059E-15  1.2881E-14 -4.6505E-13 -1.3210E-11
 -1.0540E-12  2.8149E-12  1.7315E-14 -4.6622E-14  2.3113E-12  4.8513E-11
 -4.6059E-15  1.7315E-14  4.5346E-13 -2.7224E-13  1.8782E-14  3.4070E-13
  1.2881E-14 -4.6622E-14 -2.7224E-13  1.9751E-13 -4.7612E-14 -9.0052E-13
 -4.6505E-13  2.3113E-12  1.8782E-14 -4.7612E-14  3.4326E-12  5.0737E-11
 -1.3210E-11  4.8513E-11  3.4070E-13 -9.0052E-13  5.0737E-11  9.4383E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.401852  172.642481   -0.166175    0.024125   -0.979153  2457835.710834
# Heliocentric elements and errors
Epoch:              2457830.5000  =  2017/03/18
Mean Anomaly:          335.19995 +/-     0.690
Argument of Peri:      154.78215 +/-     0.825
Long of Asc Node:       46.95151 +/-     0.027
Inclination:             1.68997 +/-     0.001
Eccentricity:         0.07760614 +/-    0.0007
Semi-Major Axis:     44.49992159 +/-    0.0142
Time of Perihelion: 2465299.9292 +/-     207.7
Perihelion:          41.04645429 +/-    0.0348
Aphelion:            47.95338889 +/-    0.0357
Period (y)              296.8568 +/-      0.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -41.08594322 +/-    0.0030
Ecliptic Y            5.13207568 +/-    0.0004
Ecliptic Z            0.98920732 +/-    0.0001
Ecliptic XDOT        -0.00024733 +/-    0.0000
Ecliptic YDOT        -0.00275245 +/-    0.0000
Ecliptic ZDOT        -0.00005010 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.41704314 +/-    0.0030
Geocenter to KBO     40.43498492 +/-    0.0030
# Hcoef:  8.16

The following table shows the complete astrometric record for 19EK7. 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 (19EK7) followed by the observatory code and reference code for the source of the astrometry.

2017 03  23.210033 11 35 11.748  +04 12 27.25  24.2V 19EK7     W84  C~8HR7      
2017 03  24.211889 11 35 07.258  +04 12 55.66  23.9V 19EK7     W84  C~8HR7      
2018 03  18.45971  11 40 47.91   +03 34 41.5   24.0i 19EK7     T09  C~83G9      
2018 03  18.50304  11 40 47.71   +03 34 42.6   24.1i 19EK7     T09  C~83G9      
2018 03  18.50571  11 40 47.71   +03 34 43.0   23.8i 19EK7     T09  C~83G9      
2018 03  18.57604  11 40 47.38   +03 34 44.8   23.9i 19EK7     T09  C~83G9      
2018 04  24.39881  11 38 16.65   +03 50 19.1   23.9z 19EK7     T09  C~83G9      
2018 04  24.48536  11 38 16.36   +03 50 20.6   23.8z 19EK7     T09  C~83G9      
2018 04  24.49338  11 38 16.35   +03 50 20.6   23.7z 19EK7     T09  C~83G9      
2019 02  04.58665  11 48 53.91   +02 40 10.8   25.1g 19EK7     T09  C~83G9      
2019 02  04.63104  11 48 53.75   +02 40 11.8   25.2g 19EK7     T09  C~83G9      
2019 02  04.66041  11 48 53.67   +02 40 12.5   25.3g 19EK7     T09  C~83G9      
2019 02  05.45522  11 48 51.14   +02 40 29.9   23.7i 19EK7     T09  C~83G9      
2019 02  05.47125  11 48 51.10   +02 40 30.1   24.0i 19EK7     T09  C~83G9      
2019 02  05.51157  11 48 50.96   +02 40 30.9   24.0i 19EK7     T09  C~83G9      
2019 03  08.34835  11 46 48.27   +02 54 07.4   24.6r 19EK7     T09  C~83G9      
2019 03  08.40222  11 46 48.02   +02 54 09.1   24.7r 19EK7     T09  C~83G9      
2019 03  08.40431  11 46 48.02   +02 54 09.1   24.5r 19EK7     T09  C~83G9      
2019 03  08.43394  11 46 47.89   +02 54 09.9   24.1r 19EK7     T09  C~83G9      

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     0.02       0.00    -0.05
     2   0.0027    -72.93    -0.00      -0.48     0.08
     3   0.9863   5518.09    -0.06     -86.25    -0.03
     4   0.9864   5514.91     0.02     -86.43    -0.17
     5   0.9864   5514.75     0.06     -86.07     0.20
     6   0.9866   5509.49     0.08     -86.38    -0.05
     7   1.0874   3066.69    -0.19    -123.95     0.13
     8   1.0877   3062.11    -0.12    -124.29    -0.04
     9   1.0877   3061.97     0.18    -124.35    -0.09
    10   1.8710  13515.55     0.00    -189.75     0.02
    11   1.8711  13512.94    -0.23    -189.79    -0.05
    12   1.8712  13511.55    -0.04    -189.62     0.10
    13   1.8734  13469.67    -0.10    -188.78     0.03
    14   1.8734  13469.04     0.14    -188.84    -0.04
    15   1.8735  13466.79     0.08    -188.94    -0.16
    16   1.9579  11448.14     0.02    -172.84    -0.03
    17   1.9581  11444.02    -0.09    -172.77     0.06
    18   1.9581  11444.02     0.07    -172.77     0.06
    19   1.9582  11441.91     0.17    -172.81     0.03

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.

19EK7    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        44.105    44.137    44.074
ecceobj         0.068     0.069     0.067
incobj          1.692     1.692     1.692
qmin           40.353    40.367    40.382
qmax           48.367    48.523    48.245
amean          44.263    44.296    44.231
amin           43.918    43.937    43.887
amax           44.632    44.671    44.599
emean           0.068     0.070     0.067
emin            0.052     0.054     0.051
emax            0.084     0.086     0.082
imean           1.407     1.412     1.403
imin            0.610     0.619     0.601
imax            2.009     2.013     2.011
excite_mean     0.073     0.074     0.072
fracstop        1.000     1.000     1.000
cjmean          3.098     3.098     3.098

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       170.1     170.3     169.8
kozaiamp        179.9     180.0     180.0