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: 19GH186 # Created Wed Jul 17 01:11:39 2024 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 83.98d # First observation: 2019/01/11 # Last observation: 2019/04/05 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.017704 -0.000000 0.010352 0.022478 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 3.42 DOF: 23 RMS: 0.09 # Min/Max residuals: -0.15 0.17 # Exact a, adot, b, bdot, g, gdot: 1.236130E-05 1.874067E-02 6.798831E-06 1.030279E-02 2.250534E-02 -2.157850E-03 # Covariance matrix: 4.4164E-12 6.5018E-09 2.3613E-13 1.9456E-10 1.1598E-09 1.8895E-09 6.5018E-09 1.0137E-05 3.6707E-10 3.0190E-07 1.8051E-06 2.3147E-06 2.3613E-13 3.6707E-10 2.5733E-13 1.0353E-11 6.6325E-11 3.0302E-10 1.9456E-10 3.0190E-07 1.0353E-11 9.6627E-09 5.5066E-08 3.6724E-07 1.1598E-09 1.8051E-06 6.6325E-11 5.5066E-08 3.2402E-07 9.9941E-07 1.8895E-09 2.3147E-06 3.0302E-10 3.6724E-07 9.9941E-07 1.3460E-04 # lat0 lon0 xBary yBary zBary JD0 -6.445293 167.069864 0.825602 -0.061390 -0.544221 2458495.028731 # Heliocentric elements and errors Epoch: 2458490.5000 = 2019/01/07 Mean Anomaly: 295.29457 +/- 72.356 Argument of Peri: 65.36383 +/- 107.682 Long of Asc Node: 177.45898 +/- 1.782 Inclination: 29.36272 +/- 3.827 Eccentricity: 0.12501935 +/- 0.5423 Semi-Major Axis: 46.84292649 +/- 10.0029 Time of Perihelion: 2479538.1050 +/- 22550.0 Perihelion: 40.98665420 +/- 26.8699 Aphelion: 52.69919879 +/- 27.7854 Period (y) 320.6079 +/- 102.69 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -43.38186411 +/- 1.0884 Ecliptic Y 10.79905143 +/- 0.2500 Ecliptic Z -4.98763894 +/- 0.1262 Ecliptic XDOT -0.00038513 +/- 0.0014 Ecliptic YDOT -0.00225083 +/- 0.0004 Ecliptic ZDOT 0.00127471 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 44.98313226 +/- 1.0515 Geocenter to KBO 44.43390663 +/- 1.1239 # Hcoef: 8.52
The following table shows the complete astrometric record for 19GH186. 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 (19GH186) followed by the observatory code and reference code for the source of the astrometry.
2019 01 11.52793 11 02 24.15 -00 50 00.5 24.5z 19GH186 T09 C~870l 2019 01 11.54486 11 02 24.09 -00 50 00.3 25.1z 19GH186 T09 C~870l 2019 01 11.57620 11 02 24.03 -00 50 00.0 24.8z 19GH186 T09 C~870l 2019 01 11.61693 11 02 23.94 -00 49 59.6 24.5z 19GH186 T09 C~870l 2019 01 11.61961 11 02 23.93 -00 49 59.3 24.9z 19GH186 T09 C~870l 2019 01 11.66010 11 02 23.84 -00 49 59.0 25.0z 19GH186 T09 C~870l 2019 04 04.39194 10 57 20.38 -00 12 34.1 25.9g 19GH186 T09 C~870l 2019 04 04.41935 10 57 20.28 -00 12 33.1 25.4g 19GH186 T09 C~870l 2019 04 04.42989 10 57 20.23 -00 12 32.7 25.5g 19GH186 T09 C~870l 2019 04 05.42691 10 57 16.79 -00 12 00.2 25.0r 19GH186 T09 C~870l 2019 04 05.43741 10 57 16.76 -00 12 00.0 25.1r 19GH186 T09 C~870l 2019 04 05.46890 10 57 16.64 -00 11 59.0 24.8r 19GH186 T09 C~870l 2019 04 05.47099 10 57 16.63 -00 11 58.8 25.1r 19GH186 T09 C~870l 2019 04 05.50326 10 57 16.52 -00 11 58.0 25.3r 19GH186 T09 C~870l
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 0.17 0.00 0.09
2 0.0000 -0.91 -0.14 -0.16 -0.04
3 0.0001 -1.85 0.02 -0.24 -0.04
4 0.0002 -3.25 0.07 -0.39 -0.10
5 0.0003 -3.51 -0.09 -0.17 0.12
6 0.0004 -4.87 -0.02 -0.42 -0.04
7 0.2269 -5071.97 0.12 303.48 -0.06
8 0.2269 -5073.74 0.04 303.82 0.02
9 0.2270 -5074.59 -0.15 303.90 0.00
10 0.2297 -5134.79 -0.03 313.84 0.13
11 0.2297 -5135.28 0.12 313.85 0.04
12 0.2298 -5137.33 -0.01 314.07 -0.04
13 0.2298 -5137.55 -0.10 314.20 0.06
14 0.2299 -5139.38 0.03 314.30 -0.15
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.