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: 19GJ186 # Created Wed Jul 17 01:11:39 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 83.97d # First observation: 2019/01/11 # Last observation: 2019/04/05 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.028318 -0.000000 -0.009662 0.027613 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 5.65 DOF: 21 RMS: 0.12 # Min/Max residuals: -0.27 0.21 # Exact a, adot, b, bdot, g, gdot: 1.297382E-05 2.172417E-02 -6.451598E-06 -9.784164E-03 2.630237E-02 9.087547E-03 # Covariance matrix: 4.1293E-12 6.6941E-09 1.9395E-13 2.1576E-10 1.1339E-09 -8.9220E-09 6.6941E-09 1.1914E-05 3.4542E-10 3.8488E-07 2.0154E-06 -1.6289E-05 1.9395E-13 3.4542E-10 3.7569E-13 9.7304E-12 5.8062E-11 -5.4474E-10 2.1576E-10 3.8488E-07 9.7304E-12 1.2964E-08 6.3988E-08 -7.4507E-07 1.1339E-09 2.0154E-06 5.8062E-11 6.3988E-08 3.4335E-07 -2.2839E-06 -8.9220E-09 -1.6289E-05 -5.4474E-10 -7.4507E-07 -2.2839E-06 1.1440E-04 # lat0 lon0 xBary yBary zBary JD0 -6.633558 166.034664 0.815435 -0.064914 -0.558939 2458495.042281 # Heliocentric elements and errors Epoch: 2458490.5000 = 2019/01/07 Mean Anomaly: 84.81203 +/- 59.382 Argument of Peri: 72.85940 +/- 32.268 Long of Asc Node: 330.65186 +/- 2.260 Inclination: 25.07437 +/- 3.402 Eccentricity: 0.34410920 +/- 0.3380 Semi-Major Axis: 35.62551595 +/- 7.8260 Time of Perihelion: 2440192.8579 +/- 11303.8 Perihelion: 23.36644828 +/- 13.0897 Aphelion: 47.88458362 +/- 15.9888 Period (y) 212.6424 +/- 70.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -36.99713016 +/- 0.8164 Ecliptic Y 10.03317269 +/- 0.2031 Ecliptic Z -4.39223725 +/- 0.0979 Ecliptic XDOT -0.00133547 +/- 0.0010 Ecliptic YDOT -0.00199798 +/- 0.0005 Ecliptic ZDOT -0.00112111 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 38.58424474 +/- 0.7847 Geocenter to KBO 38.01939405 +/- 0.8470 # Hcoef: 9.83
The following table shows the complete astrometric record for 19GJ186. 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 (19GJ186) followed by the observatory code and reference code for the source of the astrometry.
2019 01 11.54148 10 58 19.04 -00 36 33.0 25.3z 19GJ186 T09 C~870l 2019 01 11.57352 10 58 18.93 -00 36 33.0 25.2z 19GJ186 T09 C~870l 2019 01 11.58707 10 58 18.90 -00 36 33.0 25.2z 19GJ186 T09 C~870l 2019 01 11.61693 10 58 18.81 -00 36 33.0 25.2z 19GJ186 T09 C~870l 2019 04 04.38985 10 51 55.66 -00 08 26.7 26.2g 19GJ186 T09 C~870l 2019 04 04.41725 10 51 55.53 -00 08 26.0 25.9g 19GJ186 T09 C~870l 2019 04 04.42780 10 51 55.50 -00 08 25.8 26.0g 19GJ186 T09 C~870l 2019 04 05.38960 10 51 51.36 -00 08 00.3 26.2r 19GJ186 T09 C~870l 2019 04 05.42197 10 51 51.23 -00 07 59.3 26.4r 19GJ186 T09 C~870l 2019 04 05.43532 10 51 51.18 -00 07 58.9 25.6r 19GJ186 T09 C~870l 2019 04 05.46680 10 51 51.05 -00 07 58.3 25.8r 19GJ186 T09 C~870l 2019 04 05.50116 10 51 50.91 -00 07 57.3 25.6r 19GJ186 T09 C~870l 2019 04 05.51163 10 51 50.84 -00 07 57.3 26.0r 19GJ186 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 0.02 0.00 0.12
2 0.0001 -1.52 -0.13 -0.64 -0.04
3 0.0001 -1.94 0.04 -0.81 -0.01
4 0.0002 -3.18 0.07 -1.33 -0.08
5 0.2268 -5957.37 0.02 -665.22 0.05
6 0.2269 -5959.44 -0.11 -665.33 -0.03
7 0.2269 -5959.93 0.15 -665.31 -0.01
8 0.2296 -6027.12 -0.22 -665.78 -0.11
9 0.2297 -6029.31 -0.13 -665.61 0.08
10 0.2297 -6030.15 -0.04 -665.53 0.17
11 0.2298 -6032.19 0.14 -665.73 -0.01
12 0.2299 -6034.51 0.21 -665.62 0.13
13 0.2299 -6035.48 -0.03 -666.03 -0.27
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.