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: 19GU186 # Created Sun Nov 24 02:10:57 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 20 observations of 20 # Arc: 6.15y # First observation: 2013/02/08 # Last observation: 2019/04/05 # Chi-squared of fit: 6.52 DOF: 34 RMS: 0.10 # Min/Max residuals: -0.21 0.30 # Exact a, adot, b, bdot, g, gdot: 1.725274E-05 3.380371E-02 -7.635178E-06 -1.625493E-02 3.115122E-02 1.753731E-03 # Covariance matrix: 4.7178E-13 -1.9053E-13 -3.2448E-14 5.7091E-14 -9.6829E-14 -5.4532E-13 -1.9053E-13 2.4590E-13 6.1771E-14 -1.0893E-13 2.4798E-13 1.0397E-12 -3.2448E-14 6.1771E-14 4.2576E-13 -1.0225E-13 5.6595E-14 2.8315E-13 5.7091E-14 -1.0893E-13 -1.0225E-13 6.7900E-14 -1.0137E-13 -4.9864E-13 -9.6829E-14 2.4798E-13 5.6595E-14 -1.0137E-13 6.4068E-13 9.6284E-13 -5.4532E-13 1.0397E-12 2.8315E-13 -4.9864E-13 9.6284E-13 4.7615E-12 # lat0 lon0 xBary yBary zBary JD0 -0.713731 156.849946 0.288543 -0.011680 -0.942548 2456331.972678 # Heliocentric elements and errors Epoch: 2456332.5000 = 2013/02/09 Mean Anomaly: 8.03056 +/- 0.011 Argument of Peri: 168.73724 +/- 0.019 Long of Asc Node: 334.90225 +/- 0.000 Inclination: 25.67210 +/- 0.000 Eccentricity: 0.22101618 +/- 0.0001 Semi-Major Axis: 42.22832607 +/- 0.0050 Time of Perihelion: 2454096.6260 +/- 3.2 Perihelion: 32.89518296 +/- 0.0050 Aphelion: 51.56146919 +/- 0.0069 Period (y) 274.4189 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -30.26677043 +/- 0.0008 Ecliptic Y 13.25729145 +/- 0.0003 Ecliptic Z -0.40013644 +/- 0.0000 Ecliptic XDOT -0.00129957 +/- 0.0000 Ecliptic YDOT -0.00267720 +/- 0.0000 Ecliptic ZDOT -0.00143031 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.04529692 +/- 0.0007 Geocenter to KBO 32.10148211 +/- 0.0008 # Hcoef: 7.92
The following table shows the complete astrometric record for 19GU186. 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 (19GU186) followed by the observatory code and reference code for the source of the astrometry.
2013 02 08.471900 10 33 15.23 +08 20 02.0 19GU186 T09 C~89Vh 2013 02 08.507764 10 33 15.02 +08 20 03.0 19GU186 T09 C~89Vh 2013 02 08.553361 10 33 14.77 +08 20 04.1 19GU186 T09 C~89Vh 2016 01 13.349187 10 52 43.38 +03 29 19.7 23.0r 19GU186 W84 C~89Vh 2017 03 25.105213 10 52 08.16 +02 20 14.6 19GU186 W84 C~89Vh 2017 03 25.19755 10 52 07.66 +02 20 17.0 23.7V 19GU186 W84 C~89Vh 2017 03 26.11048 10 52 02.80 +02 20 41.3 19GU186 W84 C~89Vh 2017 03 26.18767 10 52 02.38 +02 20 43.4 19GU186 W84 C~89Vh 2019 01 04.608368 11 09 54.71 -01 09 08.3 19GU186 T09 C~89Vh 2019 01 08.581323 11 09 45.26 -01 09 29.3 19GU186 T09 C~89Vh 2019 02 27.281637 11 05 58.89 -00 59 20.3 23.1i 19GU186 W84 C~89Vh 2019 03 15.33937 11 04 25.40 -00 52 09.5 22.7y 19GU186 T09 C~870m 2019 03 15.38407 11 04 25.12 -00 52 08.5 22.7y 19GU186 T09 C~870m 2019 03 15.38674 11 04 25.10 -00 52 08.5 22.6y 19GU186 T09 C~870m 2019 03 15.42746 11 04 24.88 -00 52 07.4 22.7y 19GU186 T09 C~870m 2019 03 15.46795 11 04 24.63 -00 52 06.2 22.6y 19GU186 T09 C~870m 2019 03 15.51887 11 04 24.35 -00 52 04.7 22.7y 19GU186 T09 C~870m 2019 04 05.42900 11 02 31.51 -00 42 13.6 23.2r 19GU186 T09 C~870m 2019 04 05.46261 11 02 31.35 -00 42 12.8 23.3r 19GU186 T09 C~870m 2019 04 05.50535 11 02 31.13 -00 42 11.6 23.3r 19GU186 T09 C~870m
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 -0.07 0.00 -0.11
2 0.0001 0.00 -0.08 0.00 0.05
3 0.0002 0.00 0.16 0.00 0.08
4 2.9264 0.00 -0.12 0.00 0.03
5 4.1222 0.00 -0.03 0.00 0.02
6 4.1225 0.00 0.03 0.00 -0.05
7 4.1250 0.00 0.05 0.00 -0.04
8 4.1252 0.00 0.01 0.00 0.01
9 5.9032 0.00 0.04 0.00 -0.12
10 5.9141 0.00 0.09 0.00 -0.04
11 6.0501 0.00 -0.14 0.00 -0.13
12 6.0941 0.00 0.13 0.00 0.30
13 6.0942 0.00 -0.15 0.00 0.04
14 6.0942 0.00 -0.21 0.00 -0.04
15 6.0943 0.00 0.07 0.00 -0.09
16 6.0944 0.00 -0.12 0.00 -0.03
17 6.0946 0.00 0.15 0.00 0.03
18 6.1518 0.00 0.01 0.00 0.10
19 6.1519 0.00 0.13 0.00 -0.01
20 6.1520 0.00 0.01 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.