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: 19AC77 # Created Wed Apr 17 01:18:17 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 1.93y # First observation: 2019/01/11 # Last observation: 2020/12/17 Preliminary a, adot, b, bdot, g, gdot: -0.000009 0.009513 -0.000002 0.000519 0.013920 0.000000 # Chi-squared of fit: 1.40 DOF: 10 RMS: 0.07 # Min/Max residuals: -0.12 0.15 # Exact a, adot, b, bdot, g, gdot: 1.020504E-05 9.261609E-03 9.943487E-07 5.208557E-04 1.463163E-02 -3.274311E-03 # Covariance matrix: 8.5381E-13 -6.0393E-12 6.2158E-14 3.0701E-14 1.5187E-11 -9.3598E-11 -6.0393E-12 2.0191E-10 -2.2398E-12 -2.2484E-12 -6.1953E-10 2.6081E-09 6.2158E-14 -2.2398E-12 5.7174E-13 -3.5253E-13 6.8972E-12 -2.8882E-11 3.0701E-14 -2.2484E-12 -3.5253E-13 4.2343E-13 7.3994E-12 -2.4638E-11 1.5187E-11 -6.1953E-10 6.8972E-12 7.3994E-12 1.9379E-09 -7.7130E-09 -9.3598E-11 2.6081E-09 -2.8882E-11 -2.4638E-11 -7.7130E-09 3.6546E-08 # lat0 lon0 xBary yBary zBary JD0 -11.662151 88.946486 -0.359569 -0.186485 -0.904139 2458494.633771 # Heliocentric elements and errors Epoch: 2458490.5000 = 2019/01/07 Mean Anomaly: 254.99681 +/- 1.093 Argument of Peri: 66.53476 +/- 0.753 Long of Asc Node: 163.01844 +/- 0.045 Inclination: 11.97308 +/- 0.002 Eccentricity: 0.38649116 +/- 0.0138 Semi-Major Axis: 57.07798952 +/- 0.2408 Time of Perihelion: 2504431.6032 +/- 379.6 Perihelion: 35.01785123 +/- 0.7992 Aphelion: 79.13812781 +/- 0.8534 Period (y) 431.2322 +/- 2.73 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 0.88827315 +/- 0.0037 Ecliptic Y 67.84507692 +/- 0.2013 Ecliptic Z -13.81530392 +/- 0.0416 Ecliptic XDOT -0.00173548 +/- 0.0000 Ecliptic YDOT -0.00055027 +/- 0.0000 Ecliptic ZDOT 0.00021910 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 69.24309434 +/- 0.1975 Geocenter to KBO 68.34506510 +/- 0.2056 # Hcoef: 6.51
The following table shows the complete astrometric record for 19AC77. 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 (19AC77) followed by the observatory code and reference code for the source of the astrometry.
2019 01 11.13297 05 55 47.055 +11 46 23.83 25.0r 19AC77 807 C~4ZZo 2019 01 12.13543 05 55 44.067 +11 46 28.00 24.9r 19AC77 807 C~4ZZo 2019 12 27.17069 05 58 44.847 +11 47 44.81 19AC77 304 C~4ZZo 2019 12 27.21600 05 58 44.689 +11 47 44.86 19AC77 304 C~4ZZo 2019 12 27.26033 05 58 44.561 +11 47 44.81 19AC77 304 C~4ZZo 2019 12 28.19337 05 58 41.534 +11 47 46.11 19AC77 304 C~4ZZo 2020 12 16.23894 06 01 29.028 +11 49 37.77 24.6r 19AC77 304 C~4ZZo 2020 12 17.25442 06 01 25.738 +11 49 37.19 24.7r 19AC77 304 C~4ZZo
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 -0.09
2 0.0027 -43.84 0.04 4.50 0.15
3 0.9584 2611.26 0.02 64.92 -0.00
4 0.9585 2608.94 -0.12 64.99 -0.00
5 0.9586 2607.06 0.14 64.94 -0.11
6 0.9612 2562.61 -0.03 66.46 -0.01
7 1.9305 5023.07 -0.05 169.22 0.06
8 1.9333 4974.74 0.05 168.75 -0.01
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.
19AC77 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 57.548 58.282 56.861 ecceobj 0.376 0.349 0.392 incobj 11.977 11.973 11.980 qmin 34.796 36.728 33.209 qmax 81.130 80.487 81.695 amean 57.402 57.900 56.724 amin 56.604 57.056 55.422 amax 58.386 58.943 57.951 emean 0.378 0.351 0.396 emin 0.362 0.333 0.377 emax 0.392 0.367 0.414 imean 11.521 11.425 11.534 imin 10.736 10.842 10.419 imax 12.312 12.073 12.717 excite_mean 0.428 0.403 0.444 fracstop 1.000 1.000 1.000 cjmean 3.029 3.065 3.000 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 174.6 184.1 171.9 kozaiamp 180.0 179.9 180.0