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: 19GX185 # Created Wed Jul 17 01:11:39 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 33.80d # First observation: 2019/03/03 # Last observation: 2019/04/06 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.065567 -0.000000 -0.010787 0.052479 0.000000 # Chi-squared of fit: 5.73 DOF: 20 RMS: 0.12 # Min/Max residuals: -0.24 0.20 # Exact a, adot, b, bdot, g, gdot: 2.067273E-05 6.826910E-02 -3.436447E-06 -1.075118E-02 5.265899E-02 -2.880260E-02 # Covariance matrix: 6.1642E-12 1.9263E-08 -1.6555E-13 -1.8058E-10 3.1082E-09 -1.9705E-10 1.9263E-08 6.5428E-05 -5.6200E-10 -6.1195E-07 1.0549E-05 -2.0176E-06 -1.6555E-13 -5.6200E-10 4.9165E-13 -1.6803E-13 -9.0635E-11 1.1448E-11 -1.8058E-10 -6.1195E-07 -1.6803E-13 5.8521E-09 -9.8871E-08 -3.5743E-08 3.1082E-09 1.0549E-05 -9.0635E-11 -9.8871E-08 1.7017E-06 -1.0033E-07 -1.9705E-10 -2.0176E-06 1.1448E-11 -3.5743E-08 -1.0033E-07 5.9975E-05 # lat0 lon0 xBary yBary zBary JD0 4.531115 -175.255855 0.384669 0.072516 -0.914588 2458546.034471 # Heliocentric elements and errors Epoch: 2458540.5000 = 2019/02/26 Mean Anomaly: 296.15255 +/- 16.598 Argument of Peri: 265.14686 +/- 22.127 Long of Asc Node: 29.06251 +/- 2.461 Inclination: 9.98996 +/- 0.906 Eccentricity: 0.40341358 +/- 0.0952 Semi-Major Axis: 20.35653982 +/- 2.8125 Time of Perihelion: 2464490.2053 +/- 933.7 Perihelion: 12.14443518 +/- 2.5627 Aphelion: 28.56864446 +/- 4.3968 Period (y) 91.8468 +/- 19.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -19.81075258 +/- 0.4674 Ecliptic Y -1.26614791 +/- 0.0388 Ecliptic Z 1.50017041 +/- 0.0372 Ecliptic XDOT 0.00174543 +/- 0.0004 Ecliptic YDOT -0.00341887 +/- 0.0003 Ecliptic ZDOT -0.00067574 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 19.90777636 +/- 0.4651 Geocenter to KBO 18.99011004 +/- 0.4704 # Hcoef: 11.53
The following table shows the complete astrometric record for 19GX185. 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 (19GX185) followed by the observatory code and reference code for the source of the astrometry.
2019 03 03.53367 12 24 36.30 +02 16 27.9 24.3z 19GX185 T09 C~870k 2019 03 03.57408 12 24 35.96 +02 16 29.9 24.4z 19GX185 T09 C~870k 2019 03 03.62777 12 24 35.51 +02 16 32.9 23.8z 19GX185 T09 C~870k 2019 04 04.44382 12 19 47.13 +02 45 11.5 25.3g 19GX185 T09 C~870k 2019 04 04.45230 12 19 47.06 +02 45 12.0 24.9g 19GX185 T09 C~870k 2019 04 04.49722 12 19 46.63 +02 45 14.5 25.9g 19GX185 T09 C~870k 2019 04 04.51607 12 19 46.45 +02 45 15.6 25.1g 19GX185 T09 C~870k 2019 04 05.52660 12 19 37.15 +02 46 06.3 24.0r 19GX185 T09 C~870k 2019 04 05.56011 12 19 36.82 +02 46 07.7 24.1r 19GX185 T09 C~870k 2019 04 05.57896 12 19 36.66 +02 46 08.9 24.0r 19GX185 T09 C~870k 2019 04 06.29566 12 19 30.13 +02 46 44.3 24.1i 19GX185 T09 C~870k 2019 04 06.31170 12 19 29.99 +02 46 45.4 23.9i 19GX185 T09 C~870k 2019 04 06.33848 12 19 29.74 +02 46 46.7 24.3i 19GX185 T09 C~870k
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 0.04 2 0.0001 -5.47 0.03 -0.19 -0.09 3 0.0003 -12.85 0.00 -0.11 0.05 4 0.0874 -4662.41 0.08 -134.95 -0.21 5 0.0874 -4663.57 0.18 -134.90 -0.08 6 0.0875 -4670.48 -0.02 -135.16 0.08 7 0.0876 -4673.39 -0.13 -135.22 0.20 8 0.0903 -4821.50 -0.03 -143.82 0.12 9 0.0904 -4826.59 -0.17 -144.49 -0.24 10 0.0905 -4829.27 -0.07 -144.34 0.09 11 0.0924 -4933.19 0.05 -150.56 -0.20 12 0.0925 -4935.55 0.06 -150.38 0.13 13 0.0926 -4939.51 0.06 -150.67 0.10
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.