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: 19GQ187
# Created Wed Nov 27 02:10:57 2024
# Orbit generated from Bernstein formalism
# Fitting 11 observations of 11
# Arc: 59.80d
# First observation: 2019/02/05
# Last observation: 2019/04/06
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.018477 0.000000 0.001682 0.023603 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 2.17 DOF: 17 RMS: 0.08
# Min/Max residuals: -0.14 0.13
# Exact a, adot, b, bdot, g, gdot:
1.456937E-05 2.220418E-02 1.006853E-06 1.546423E-03 2.410084E-02 2.703672E-03
# Covariance matrix:
7.5925E-12 9.3249E-09 -2.9286E-13 -2.7713E-10 1.7934E-09 4.8645E-08
9.3249E-09 1.4201E-05 -4.4560E-10 -4.2192E-07 2.7259E-06 7.3186E-05
-2.9286E-13 -4.4560E-10 1.4688E-12 4.1621E-12 -8.5517E-11 -2.2910E-09
-2.7713E-10 -4.2192E-07 4.1621E-12 1.2613E-08 -8.0853E-08 -2.1322E-06
1.7934E-09 2.7259E-06 -8.5517E-11 -8.0853E-08 5.2447E-07 1.4428E-05
4.8645E-08 7.3186E-05 -2.2910E-09 -2.1322E-06 1.4428E-05 4.9443E-04
# lat0 lon0 xBary yBary zBary JD0
4.765743 -174.390874 0.756582 0.053362 -0.639276 2458520.045379
# Heliocentric elements and errors
Epoch: 2458520.5000 = 2019/02/06
Mean Anomaly: 121.34596 +/- 35.109
Argument of Peri: 276.56875 +/- 10.466
Long of Asc Node: 135.63504 +/- 6.698
Inclination: 6.21168 +/- 0.627
Eccentricity: 0.12460162 +/- 0.5267
Semi-Major Axis: 39.19590781 +/- 14.3433
Time of Perihelion: 2428308.3006 +/- 96964.6
Perihelion: 34.31203423 +/- 24.1636
Aphelion: 44.07978140 +/- 26.1996
Period (y) 245.3970 +/- 134.70
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -41.86216973 +/- 1.2365
Ecliptic Y -3.35933496 +/- 0.1214
Ecliptic Z 3.44729275 +/- 0.1036
Ecliptic XDOT -0.00003550 +/- 0.0025
Ecliptic YDOT -0.00254046 +/- 0.0006
Ecliptic ZDOT 0.00020038 +/- 0.0002
# Distances at JD0 (AU)
Heliocenter to KBO 42.13799015 +/- 1.2285
Geocenter to KBO 41.49233033 +/- 1.2468
# Hcoef: 9.33
The following table shows the complete astrometric record for 19GQ187. 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 (19GQ187) followed by the observatory code and reference code for the source of the astrometry.
2019 02 05.544578 12 28 08.74 +02 08 52.9 19GQ187 T09 C~89Vi 2019 04 04.45509 12 24 23.35 +02 36 42.2 26.1g 19GQ187 T09 C~89Vi 2019 04 04.46353 12 24 23.32 +02 36 42.3 25.6g 19GQ187 T09 C~89Vi 2019 04 04.46562 12 24 23.31 +02 36 42.2 25.8g 19GQ187 T09 C~89Vi 2019 04 04.51817 12 24 23.07 +02 36 43.7 25.7g 19GQ187 T09 C~89Vi 2019 04 05.52660 12 24 18.59 +02 37 12.6 25.1r 19GQ187 T09 C~89Vi 2019 04 05.52869 12 24 18.57 +02 37 12.7 25.7r 19GQ187 T09 C~89Vi 2019 04 05.54963 12 24 18.48 +02 37 13.2 25.9r 19GQ187 T09 C~89Vi 2019 04 05.58105 12 24 18.35 +02 37 14.1 25.7r 19GQ187 T09 C~89Vi 2019 04 06.341154 12 24 14.99 +02 37 35.7 19GQ187 T09 C~89Vi 2019 04 06.343824 12 24 14.99 +02 37 35.7 19GQ187 T09 C~89Vi
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 -0.00 0.00 0.00
2 0.1586 -3763.21 -0.14 195.82 0.13
3 0.1586 -3763.66 0.03 195.73 0.05
4 0.1586 -3763.76 0.09 195.58 -0.10
5 0.1587 -3767.66 0.06 195.54 -0.12
6 0.1615 -3840.77 0.02 195.53 0.03
7 0.1615 -3841.08 -0.14 195.50 0.00
8 0.1615 -3842.52 -0.05 195.43 -0.06
9 0.1616 -3844.67 0.10 195.49 0.01
10 0.1637 -3899.47 -0.08 195.41 0.03
11 0.1637 -3899.47 0.11 195.41 0.03
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.