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: 19GJ196
# Created Wed Nov 27 02:10:57 2024
# Orbit generated from Bernstein formalism
# Fitting 11 observations of 11
# Arc: 50.98d
# First observation: 2019/04/07
# Last observation: 2019/05/28
Preliminary a, adot, b, bdot, g, gdot:
-0.000002 0.021137 -0.000001 -0.011473 0.023185 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 14.44 DOF: 17 RMS: 0.20
# Min/Max residuals: -0.64 0.22
# Exact a, adot, b, bdot, g, gdot:
9.814071E-06 1.530213E-02 -8.940706E-06 -1.189900E-02 2.231458E-02 1.252986E-02
# Covariance matrix:
6.8240E-12 7.9028E-09 -5.6651E-13 4.5261E-10 1.3696E-09 -6.6108E-09
7.9028E-09 9.5495E-06 -6.8580E-10 5.4962E-07 1.6502E-06 -9.5860E-06
-5.6651E-13 -6.8580E-10 2.9691E-13 -4.1351E-11 -1.1838E-10 7.3499E-10
4.5261E-10 5.4962E-07 -4.1351E-11 3.1827E-08 9.4722E-08 -6.4496E-07
1.3696E-09 1.6502E-06 -1.1838E-10 9.4722E-08 2.8557E-07 -1.5117E-06
-6.6108E-09 -9.5860E-06 7.3499E-10 -6.4496E-07 -1.5117E-06 6.2323E-05
# lat0 lon0 xBary yBary zBary JD0
9.609427 -157.394550 0.104240 0.166064 -0.980845 2458580.937551
# Heliocentric elements and errors
Epoch: 2458580.5000 = 2019/04/07
Mean Anomaly: 35.37689 +/- 31.796
Argument of Peri: 62.49217 +/- 12.140
Long of Asc Node: 34.45202 +/- 2.491
Inclination: 38.60322 +/- 5.751
Eccentricity: 0.57742643 +/- 0.3497
Semi-Major Axis: 60.23150101 +/- 33.6937
Time of Perihelion: 2441802.0800 +/- 5403.8
Perihelion: 25.45224051 +/- 25.4229
Aphelion: 95.01076151 +/- 57.1704
Period (y) 467.4592 +/- 392.25
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -41.74717564 +/- 0.9769
Ecliptic Y -17.27810748 +/- 0.4066
Ecliptic Z 7.48044341 +/- 0.1791
Ecliptic XDOT -0.00089432 +/- 0.0010
Ecliptic YDOT -0.00241053 +/- 0.0004
Ecliptic ZDOT -0.00118303 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 45.79647045 +/- 0.9041
Geocenter to KBO 44.81374323 +/- 1.0732
# Hcoef: 7.52
The following table shows the complete astrometric record for 19GJ196. 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 (19GJ196) followed by the observatory code and reference code for the source of the astrometry.
2019 04 07.43675 13 37 51.32 +00 08 15.6 23.8i 19GJ196 T09 C~8Mho 2019 04 07.47751 13 37 51.12 +00 08 16.6 23.7i 19GJ196 T09 C~8Mho 2019 04 07.53931 13 37 50.85 +00 08 17.7 23.7i 19GJ196 T09 C~8Mho 2019 04 08.44105 13 37 46.76 +00 08 36.2 23.7y 19GJ196 T09 C~8Mho 2019 04 08.48181 13 37 46.64 +00 08 37.2 24.1y 19GJ196 T09 C~8Mho 2019 04 08.52220 13 37 46.45 +00 08 38.2 23.7y 19GJ196 T09 C~8Mho 2019 05 28.28253 13 34 19.08 +00 19 30.6 24.2z 19GJ196 T09 C~8Mho 2019 05 28.31775 13 34 18.96 +00 19 30.8 23.5z 19GJ196 T09 C~8Mho 2019 05 28.36121 13 34 18.80 +00 19 30.8 24.1z 19GJ196 T09 C~8Mho 2019 05 28.37472 13 34 18.76 +00 19 31.0 24.3z 19GJ196 T09 C~8Mho 2019 05 28.41488 13 34 18.63 +00 19 31.1 24.1z 19GJ196 T09 C~8Mho
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 0.21 0.00 0.10
2 0.0001 -3.16 -0.05 -0.17 0.16
3 0.0003 -7.33 0.17 -0.64 0.05
4 0.0027 -71.19 -0.64 -5.96 -0.49
5 0.0029 -73.23 0.22 -5.69 0.02
6 0.0030 -76.25 0.08 -5.80 0.14
7 0.1392 -3209.30 0.11 -541.18 -0.02
8 0.1393 -3211.05 0.06 -541.66 0.06
9 0.1394 -3213.29 -0.09 -542.54 -0.13
10 0.1395 -3213.92 -0.07 -542.57 0.05
11 0.1396 -3215.77 -0.00 -543.20 0.06
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.