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: 19GF186
# Created Wed Jul 17 01:11:39 2024
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 50.98d
# First observation: 2019/04/07
# Last observation: 2019/05/28
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.041666 0.000000 -0.003896 0.028846 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 7.16 DOF: 25 RMS: 0.12
# Min/Max residuals: -0.23 0.23
# Exact a, adot, b, bdot, g, gdot:
2.018783E-05 3.446772E-02 -1.407969E-06 -4.364110E-03 2.775365E-02 2.208267E-03
# Covariance matrix:
2.9392E-12 4.3247E-09 -2.5233E-13 2.5889E-10 7.3373E-10 -9.4305E-09
4.3247E-09 6.8537E-06 -4.0064E-10 4.1387E-07 1.1497E-06 -1.9171E-05
-2.5233E-13 -4.0064E-10 1.7171E-13 -2.5293E-11 -6.7132E-11 1.1446E-09
2.5889E-10 4.1387E-07 -2.5293E-11 2.5106E-08 6.9112E-08 -1.2605E-06
7.3373E-10 1.1497E-06 -6.7132E-11 6.9112E-08 1.9393E-07 -2.8587E-06
-9.4305E-09 -1.9171E-05 1.1446E-09 -1.2605E-06 -2.8587E-06 1.7123E-04
# lat0 lon0 xBary yBary zBary JD0
9.649745 -157.956139 0.094531 0.166917 -0.981684 2458580.934881
# Heliocentric elements and errors
Epoch: 2458580.5000 = 2019/04/07
Mean Anomaly: 3.24211 +/- 20.412
Argument of Peri: 116.45325 +/- 65.234
Long of Asc Node: 74.34865 +/- 2.895
Inclination: 11.78475 +/- 0.450
Eccentricity: 0.48106529 +/- 0.1201
Semi-Major Axis: 70.93924195 +/- 15.5650
Time of Perihelion: 2456615.0868 +/- 12357.2
Perihelion: 36.81283471 +/- 11.7393
Aphelion: 105.06564919 +/- 24.5764
Period (y) 597.5001 +/- 196.65
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -33.88141152 +/- 0.5224
Ecliptic Y -13.62615441 +/- 0.2115
Ecliptic Z 6.03972371 +/- 0.0958
Ecliptic XDOT 0.00101850 +/- 0.0012
Ecliptic YDOT -0.00326029 +/- 0.0004
Ecliptic ZDOT -0.00038812 +/- 0.0002
# Distances at JD0 (AU)
Heliocenter to KBO 37.01486719 +/- 0.4848
Geocenter to KBO 36.03130171 +/- 0.5717
# Hcoef: 8.59
The following table shows the complete astrometric record for 19GF186. 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 (19GF186) followed by the observatory code and reference code for the source of the astrometry.
2019 04 07.43408 13 35 51.32 +00 22 44.0 24.1i 19GF186 T09 C~870k 2019 04 07.43451 13 35 51.34 +00 22 44.0 24.1i 19GF186 T09 C~870k 2019 04 07.47751 13 35 51.10 +00 22 45.4 24.4i 19GF186 T09 C~870k 2019 04 07.47794 13 35 51.12 +00 22 45.4 24.4i 19GF186 T09 C~870k 2019 04 07.53663 13 35 50.82 +00 22 47.2 24.8i 19GF186 T09 C~870k 2019 04 07.53706 13 35 50.84 +00 22 47.2 24.8i 19GF186 T09 C~870k 2019 04 08.43838 13 35 46.42 +00 23 12.4 23.8y 19GF186 T09 C~870k 2019 04 08.47913 13 35 46.22 +00 23 13.4 22.9y 19GF186 T09 C~870k 2019 04 08.48181 13 35 46.21 +00 23 13.7 23.1y 19GF186 T09 C~870k 2019 04 08.52220 13 35 46.01 +00 23 14.8 23.5y 19GF186 T09 C~870k 2019 05 28.27985 13 32 02.79 +00 38 30.6 23.8z 19GF186 T09 C~870k 2019 05 28.29332 13 32 02.73 +00 38 30.9 24.3z 19GF186 T09 C~870k 2019 05 28.31775 13 32 02.65 +00 38 30.9 24.2z 19GF186 T09 C~870k 2019 05 28.37472 13 32 02.45 +00 38 31.2 24.1z 19GF186 T09 C~870k 2019 05 28.41221 13 32 02.32 +00 38 31.4 24.0z 19GF186 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 -0.11 0.00 -0.22
2 0.0000 0.28 0.20 0.11 -0.11
3 0.0001 -3.58 -0.23 0.08 -0.08
4 0.0001 -3.30 0.08 0.20 0.03
5 0.0003 -8.15 -0.09 0.21 0.12
6 0.0003 -7.87 0.22 0.32 0.23
7 0.0027 -78.79 -0.08 -0.70 -0.02
8 0.0029 -81.95 0.02 -0.88 -0.13
9 0.0029 -82.20 -0.02 -0.65 0.10
10 0.0030 -85.39 0.01 -0.74 0.08
11 0.1392 -3535.70 0.16 -383.75 -0.04
12 0.1392 -3536.65 -0.11 -383.80 0.10
13 0.1393 -3537.76 0.01 -384.24 -0.00
14 0.1395 -3540.66 -0.02 -385.07 -0.03
15 0.1396 -3542.55 -0.03 -385.60 -0.04
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.