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: 19VD58
# Created Wed Nov 27 02:11:00 2024
# Orbit generated from Bernstein formalism
# Fitting 10 observations of 10
# Arc: 6.04d
# First observation: 2019/10/27
# Last observation: 2019/11/02
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.038057 -0.000000 -0.000084 0.027523 0.000000
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 4.40 DOF: 15 RMS: 0.12
# Min/Max residuals: -0.22 0.30
# Exact a, adot, b, bdot, g, gdot:
1.765136E-05 2.780792E-02 -7.279948E-07 -5.016475E-04 2.530487E-02 1.079497E-03
# Covariance matrix:
1.5504E-11 2.3559E-08 5.7121E-13 9.5348E-10 5.1871E-09 -9.1038E-09
2.3559E-08 3.6960E-05 8.9494E-10 1.4939E-06 8.1269E-06 -1.4473E-05
5.7121E-13 8.9494E-10 4.6984E-13 6.7004E-12 1.9680E-10 -3.4947E-10
9.5348E-10 1.4939E-06 6.7004E-12 6.3272E-08 3.2850E-07 -5.9429E-07
5.1871E-09 8.1269E-06 1.9680E-10 3.2850E-07 1.7871E-06 -3.0736E-06
-9.1038E-09 -1.4473E-05 -3.4947E-10 -5.9429E-07 -3.0736E-06 3.7676E-04
# lat0 lon0 xBary yBary zBary JD0
2.403549 -6.990730 -0.648736 0.031663 -0.754395 2458783.714111
# Heliocentric elements and errors
Epoch: 2458780.5000 = 2019/10/24
Mean Anomaly: 10.06139 +/- 116.489
Argument of Peri: 97.64731 +/- 196.978
Long of Asc Node: 239.30040 +/- 14.850
Inclination: 2.59346 +/- 0.309
Eccentricity: 0.24313554 +/- 0.3768
Semi-Major Axis: 52.76949051 +/- 21.0167
Time of Perihelion: 2454867.3322 +/- 45245.7
Perihelion: 39.93935195 +/- 25.4635
Aphelion: 65.59962906 +/- 32.8324
Period (y) 383.3386 +/- 229.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 40.02152314 +/- 2.0704
Ecliptic Y -4.26030338 +/- 0.2540
Ecliptic Z 1.65725679 +/- 0.0875
Ecliptic XDOT 0.00049275 +/- 0.0021
Ecliptic YDOT 0.00297308 +/- 0.0006
Ecliptic ZDOT -0.00004956 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 40.28174523 +/- 2.0572
Geocenter to KBO 39.51808013 +/- 2.0877
# Hcoef: 9.32
The following table shows the complete astrometric record for 19VD58. 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 (19VD58) followed by the observatory code and reference code for the source of the astrometry.
2019 10 27.21331 23 30 31.49 -00 34 00.7 25.6r 19VD58 T09 C~8HVz 2019 10 27.23299 23 30 31.44 -00 34 01.4 25.5r 19VD58 T09 C~8HVz 2019 10 27.24280 23 30 31.40 -00 34 01.3 25.2r 19VD58 T09 C~8HVz 2019 11 01.29245 23 30 16.43 -00 35 53.8 26.4g 19VD58 T09 C~8HVz 2019 11 01.38109 23 30 16.17 -00 35 55.8 25.7g 19VD58 T09 C~8HVz 2019 11 01.46066 23 30 15.94 -00 35 57.5 26.3g 19VD58 T09 C~8HVz 2019 11 02.21016 23 30 13.91 -00 36 13.0 24.8i 19VD58 T09 C~8HVz 2019 11 02.22416 23 30 13.87 -00 36 13.5 25.1i 19VD58 T09 C~8HVz 2019 11 02.23823 23 30 13.85 -00 36 13.6 24.8i 19VD58 T09 C~8HVz 2019 11 02.25232 23 30 13.79 -00 36 14.1 24.8i 19VD58 T09 C~8HVz
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 -0.06 0.00 0.09
2 0.0001 -0.97 0.03 -0.35 -0.22
3 0.0001 -1.48 0.04 -0.02 0.14
4 0.0139 -252.19 -0.01 -14.72 0.03
5 0.0141 -256.56 -0.14 -15.02 -0.05
6 0.0144 -260.40 -0.20 -15.22 -0.03
7 0.0164 -294.50 0.05 -17.44 0.14
8 0.0165 -295.25 -0.04 -17.66 -0.05
9 0.0165 -295.56 0.30 -17.63 0.01
10 0.0165 -296.59 -0.06 -17.74 -0.05
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.