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: 19VP53
# Created Wed Jul 17 01:11:42 2024
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 33.03d
# First observation: 2019/10/27
# Last observation: 2019/11/29
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.027953 -0.000000 0.000924 0.025688 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 4.83 DOF: 25 RMS: 0.10
# Min/Max residuals: -0.24 0.22
# Exact a, adot, b, bdot, g, gdot:
1.673572E-05 2.575560E-02 7.315165E-07 7.727118E-04 2.523621E-02 1.880645E-03
# Covariance matrix:
6.7961E-13 2.4483E-10 -5.4875E-14 1.6707E-11 5.8939E-11 -1.1065E-08
2.4483E-10 2.9305E-07 -8.0954E-11 2.0102E-08 6.1029E-08 -1.8107E-05
-5.4875E-14 -8.0954E-11 1.9894E-13 -8.0352E-12 -1.6525E-11 5.1959E-09
1.6707E-11 2.0102E-08 -8.0352E-12 1.4584E-09 4.1809E-09 -1.2461E-06
5.8939E-11 6.1029E-08 -1.6525E-11 4.1809E-09 1.2900E-08 -3.6657E-06
-1.1065E-08 -1.8107E-05 5.1959E-09 -1.2461E-06 -3.6657E-06 1.1795E-03
# lat0 lon0 xBary yBary zBary JD0
2.189732 -7.481889 -0.655185 0.028634 -0.748923 2458783.714111
# Heliocentric elements and errors
Epoch: 2458780.5000 = 2019/10/24
Mean Anomaly: 45.59664 +/- 272.779
Argument of Peri: 355.75363 +/- 53.791
Long of Asc Node: 301.42052 +/- 0.834
Inclination: 2.72517 +/- 0.031
Eccentricity: 0.11784159 +/- 1.1370
Semi-Major Axis: 43.63051070 +/- 8.9342
Time of Perihelion: 2445447.9191 +/- 79656.2
Perihelion: 38.48902187 +/- 50.2289
Aphelion: 48.77199952 +/- 50.6020
Period (y) 288.1998 +/- 88.52
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 40.09127217 +/- 0.1767
Ecliptic Y -4.61086525 +/- 0.0232
Ecliptic Z 1.51406754 +/- 0.0068
Ecliptic XDOT 0.00057129 +/- 0.0037
Ecliptic YDOT 0.00274554 +/- 0.0005
Ecliptic ZDOT 0.00009133 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 40.38393967 +/- 0.1754
Geocenter to KBO 39.62559736 +/- 0.1783
# Hcoef: 8.06
The following table shows the complete astrometric record for 19VP53. 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 (19VP53) followed by the observatory code and reference code for the source of the astrometry.
2019 10 27.21331 23 29 03.51 -00 57 25.2 24.5r 19VP53 T09 C~85Kl 2019 10 27.24280 23 29 03.43 -00 57 25.7 23.8r 19VP53 T09 C~85Kl 2019 10 27.24768 23 29 03.40 -00 57 25.8 24.0r 19VP53 T09 C~85Kl 2019 11 01.21475 23 28 48.40 -00 59 13.2 24.5g 19VP53 T09 C~85Kl 2019 11 01.29245 23 28 48.18 -00 59 14.7 24.9g 19VP53 T09 C~85Kl 2019 11 01.38109 23 28 47.93 -00 59 16.4 24.8g 19VP53 T09 C~85Kl 2019 11 01.46066 23 28 47.71 -00 59 18.0 24.5g 19VP53 T09 C~85Kl 2019 11 02.21016 23 28 45.62 -00 59 33.2 24.0i 19VP53 T09 C~85Kl 2019 11 02.22416 23 28 45.57 -00 59 33.5 23.9i 19VP53 T09 C~85Kl 2019 11 02.23823 23 28 45.54 -00 59 33.8 24.0i 19VP53 T09 C~85Kl 2019 11 02.25232 23 28 45.49 -00 59 34.0 23.7i 19VP53 T09 C~85Kl 2019 11 29.20579 23 28 00.31 -01 05 39.1 24.0r 19VP53 T09 C~85Kl 2019 11 29.21579 23 28 00.30 -01 05 39.1 23.9r 19VP53 T09 C~85Kl 2019 11 29.22581 23 28 00.30 -01 05 39.3 24.0r 19VP53 T09 C~85Kl 2019 11 29.24429 23 28 00.28 -01 05 39.1 24.4r 19VP53 T09 C~85Kl
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 -0.12 0.00 -0.05
2 0.0001 -1.30 0.17 0.01 0.00
3 0.0001 -1.75 -0.02 0.10 0.10
4 0.0137 -250.84 -0.24 -9.86 -0.12
5 0.0139 -254.47 -0.10 -9.93 -0.07
6 0.0141 -258.58 0.07 -10.02 -0.02
7 0.0144 -262.25 0.22 -10.19 -0.05
8 0.0164 -297.05 0.08 -11.79 0.02
9 0.0165 -297.85 -0.07 -11.77 0.07
10 0.0165 -298.38 0.07 -11.87 -0.01
11 0.0165 -299.15 -0.04 -11.76 0.13
12 0.0903 -1065.82 0.01 -80.02 -0.07
13 0.0904 -1065.96 -0.02 -79.96 0.02
14 0.0904 -1066.04 0.01 -80.15 -0.15
15 0.0904 -1066.23 0.00 -79.85 0.20
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.