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: 19ER7 # Created Fri Nov 22 02:10:58 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 5.93y # First observation: 2013/04/01 # Last observation: 2019/03/08 # Chi-squared of fit: 9.34 DOF: 40 RMS: 0.11 # Min/Max residuals: -0.21 0.38 # Exact a, adot, b, bdot, g, gdot: 1.388447E-05 2.371628E-02 -8.865170E-06 -1.558310E-02 2.732421E-02 1.082966E-03 # Covariance matrix: 1.3507E-12 -4.6756E-13 -1.8272E-13 1.7326E-13 -2.5797E-13 -1.6609E-12 -4.6756E-13 2.7759E-13 1.6193E-13 -1.5355E-13 2.4190E-13 1.4719E-12 -1.8272E-13 1.6193E-13 1.1573E-12 -3.0434E-13 1.8293E-13 1.0100E-12 1.7326E-13 -1.5355E-13 -3.0434E-13 1.4018E-13 -1.7327E-13 -9.5763E-13 -2.5797E-13 2.4190E-13 1.8293E-13 -1.7327E-13 7.5794E-13 1.6620E-12 -1.6609E-12 1.4719E-12 1.0100E-12 -9.5763E-13 1.6620E-12 9.1800E-12 # lat0 lon0 xBary yBary zBary JD0 6.591021 167.790237 -0.403276 0.105168 -0.909608 2456383.687295 # Heliocentric elements and errors Epoch: 2456384.5000 = 2013/04/02 Mean Anomaly: 58.83864 +/- 0.079 Argument of Peri: 103.73341 +/- 0.095 Long of Asc Node: 358.05041 +/- 0.000 Inclination: 33.92926 +/- 0.000 Eccentricity: 0.05761807 +/- 0.0001 Semi-Major Axis: 38.56117830 +/- 0.0042 Time of Perihelion: 2442089.5057 +/- 19.4 Perihelion: 36.33935752 +/- 0.0054 Aphelion: 40.78299908 +/- 0.0058 Period (y) 239.4604 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -36.51298807 +/- 0.0011 Ecliptic Y 7.49046251 +/- 0.0002 Ecliptic Z 4.20038909 +/- 0.0001 Ecliptic XDOT -0.00078939 +/- 0.0000 Ecliptic YDOT -0.00226145 +/- 0.0000 Ecliptic ZDOT -0.00153849 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.50928300 +/- 0.0011 Geocenter to KBO 36.59758852 +/- 0.0012 # Hcoef: 6.92
The following table shows the complete astrometric record for 19ER7. 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 (19ER7) followed by the observatory code and reference code for the source of the astrometry.
2013 04 01.186517 11 25 32.376 +10 53 14.82 22.6z 19ER7 W84 C~8HR7 2017 03 02.226416 11 42 31.040 +05 15 21.38 22.6r 19ER7 W84 C~83GA 2017 03 02.227611 11 42 31.028 +05 15 21.45 22.8g 19ER7 W84 C~83GA 2017 03 06.209433 11 42 10.054 +05 17 03.02 22.7g 19ER7 W84 C~83GA 2017 03 31.145707 11 39 57.050 +05 27 13.68 22.5r 19ER7 W84 C~83GA 2018 03 18.47675 11 44 35.87 +04 00 53.7 22.5i 19ER7 T09 C~83GA 2018 03 18.50571 11 44 35.69 +04 00 54.4 22.5i 19ER7 T09 C~83GA 2018 03 18.57871 11 44 35.29 +04 00 56.2 22.5i 19ER7 T09 C~83GA 2018 03 19.217669 11 44 31.867 +04 01 12.28 22.4r 19ER7 W84 C~83GA 2018 04 24.36908 11 41 35.13 +04 13 41.0 22.3z 19ER7 T09 C~83GA 2018 04 24.41221 11 41 34.95 +04 13 41.5 22.5z 19ER7 T09 C~83GA 2018 04 24.44523 11 41 34.81 +04 13 42.0 22.3z 19ER7 T09 C~83GA 2018 04 24.49606 11 41 34.62 +04 13 42.8 22.6z 19ER7 T09 C~83GA 2018 05 13.049680 11 40 32.342 +04 16 38.56 22.8r 19ER7 W84 C~83GA 2018 05 16.989497 11 40 22.665 +04 16 51.74 23.6g 19ER7 W84 C~83GA 2019 03 02.41395 11 49 30.77 +02 33 03.6 22.2y 19ER7 T09 C~83GA 2019 03 02.51880 11 49 30.23 +02 33 06.2 22.9y 19ER7 T09 C~83GA 2019 03 02.55921 11 49 30.02 +02 33 07.2 22.7y 19ER7 T09 C~83GA 2019 03 02.60017 11 49 29.80 +02 33 08.1 22.3y 19ER7 T09 C~83GA 2019 03 08.36022 11 48 59.80 +02 35 30.7 22.4r 19ER7 T09 C~83GA 2019 03 08.39173 11 48 59.64 +02 35 31.6 22.5r 19ER7 T09 C~83GA 2019 03 08.40431 11 48 59.58 +02 35 31.7 22.5r 19ER7 T09 C~83GA 2019 03 08.43394 11 48 59.40 +02 35 32.6 22.5r 19ER7 T09 C~83GA
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 -0.02 2 3.9180 0.00 -0.01 0.00 -0.07 3 3.9180 0.00 -0.09 0.00 -0.03 4 3.9289 0.00 -0.06 0.00 -0.07 5 3.9972 0.00 0.09 0.00 -0.02 6 4.9618 0.00 0.38 0.00 0.13 7 4.9619 0.00 0.05 0.00 0.10 8 4.9621 0.00 0.02 0.00 0.08 9 4.9638 0.00 0.02 0.00 -0.03 10 5.0628 0.00 -0.11 0.00 0.17 11 5.0629 0.00 -0.14 0.00 0.06 12 5.0630 0.00 -0.21 0.00 0.09 13 5.0631 0.00 0.06 0.00 0.18 14 5.1139 0.00 0.19 0.00 -0.16 15 5.1247 0.00 0.05 0.00 -0.08 16 5.9171 0.00 -0.10 0.00 -0.04 17 5.9174 0.00 0.01 0.00 0.01 18 5.9175 0.00 0.03 0.00 0.02 19 5.9176 0.00 -0.07 0.00 -0.08 20 5.9334 0.00 -0.11 0.00 -0.07 21 5.9335 0.00 0.02 0.00 0.04 22 5.9335 0.00 0.13 0.00 -0.17 23 5.9336 0.00 -0.18 0.00 -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.
19ER7 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.465 38.480 38.450 ecceobj 0.056 0.057 0.055 incobj 33.994 33.994 33.994 qmin 35.933 35.909 35.945 qmax 41.259 41.333 41.187 amean 38.516 38.531 38.456 amin 38.235 38.261 38.169 amax 38.812 38.817 38.785 emean 0.051 0.053 0.046 emin 0.038 0.041 0.030 emax 0.064 0.065 0.062 imean 34.284 34.282 34.293 imin 33.950 33.938 33.913 imax 34.625 34.638 34.676 excite_mean 0.566 0.566 0.565 fracstop 1.000 1.000 1.000 cjmean 2.649 2.648 2.649 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 176.6 177.8 179.7 kozaiamp 180.0 179.9 180.0