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: 19EU8
# Created Sun Nov 24 02:10:56 2024
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 4.75y
# First observation: 2018/04/22
# Last observation: 2023/01/21
Preliminary a, adot, b, bdot, g, gdot:
0.000059 0.016825 0.000000 0.000884 0.019697 0.000000
# Chi-squared of fit: 6.05 DOF: 30 RMS: 0.10
# Min/Max residuals: -0.34 0.19
# Exact a, adot, b, bdot, g, gdot:
1.279806E-05 1.674438E-02 1.591423E-06 8.831996E-04 1.988162E-02 -1.509770E-03
# Covariance matrix:
9.9098E-13 -1.0311E-12 2.5751E-14 -3.5852E-14 -2.3188E-13 -8.3640E-12
-1.0311E-12 1.8897E-12 -4.3947E-14 5.8107E-14 -3.1891E-13 1.4954E-11
2.5751E-14 -4.3947E-14 1.8805E-13 -5.8875E-14 3.8402E-15 -3.5854E-13
-3.5852E-14 5.8107E-14 -5.8875E-14 3.3190E-14 -2.6297E-15 4.7731E-13
-2.3188E-13 -3.1891E-13 3.8402E-15 -2.6297E-15 5.9640E-13 -1.8478E-12
-8.3640E-12 1.4954E-11 -3.5854E-13 4.7731E-13 -1.8478E-12 1.2128E-10
# lat0 lon0 xBary yBary zBary JD0
5.005692 -178.173580 -0.497916 0.075807 -0.864801 2458230.887863
# Heliocentric elements and errors
Epoch: 2458230.5000 = 2018/04/22
Mean Anomaly: 235.75567 +/- 0.169
Argument of Peri: 192.54343 +/- 0.168
Long of Asc Node: 123.51475 +/- 0.005
Inclination: 5.74272 +/- 0.000
Eccentricity: 0.10589217 +/- 0.0006
Semi-Major Axis: 47.97220665 +/- 0.0078
Time of Perihelion: 2500115.3570 +/- 56.0
Perihelion: 42.89232539 +/- 0.0273
Aphelion: 53.05208790 +/- 0.0278
Period (y) 332.2712 +/- 0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -50.93330630 +/- 0.0019
Ecliptic Y -2.12957600 +/- 0.0001
Ecliptic Z 4.38883570 +/- 0.0002
Ecliptic XDOT 0.00029772 +/- 0.0000
Ecliptic YDOT -0.00230196 +/- 0.0000
Ecliptic ZDOT 0.00010286 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 51.16638216 +/- 0.0019
Geocenter to KBO 50.29770822 +/- 0.0020
# Hcoef: 8.32
The following table shows the complete astrometric record for 19EU8. 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 (19EU8) followed by the observatory code and reference code for the source of the astrometry.
2018 04 22.387062 12 14 40.44 +03 51 58.0 19EU8 T09 C~89Ve 2019 02 05.56175 12 22 32.62 +03 02 05.3 24.8i 19EU8 T09 C~89Ve 2019 02 05.60340 12 22 32.53 +03 02 06.1 25.3i 19EU8 T09 C~89Ve 2019 02 05.63031 12 22 32.46 +03 02 06.6 25.2i 19EU8 T09 C~89Ve 2019 02 05.63299 12 22 32.46 +03 02 06.8 24.8i 19EU8 T09 C~89Ve 2019 03 03.587501 12 21 18.29 +03 12 02.2 19EU8 T09 C~89Ve 2019 03 03.638501 12 21 18.13 +03 12 03.4 19EU8 T09 C~89Ve 2019 04 04.45230 12 19 21.57 +03 25 19.0 25.5g 19EU8 T09 C~89Ve 2019 04 04.47412 12 19 21.48 +03 25 19.3 26.3g 19EU8 T09 C~89Ve 2019 04 04.49722 12 19 21.41 +03 25 20.0 26.2g 19EU8 T09 C~89Ve 2019 04 06.311690 12 19 14.73 +03 26 02.1 19EU8 T09 C~89Ve 2020 01 30.609170 12 26 21.10 +02 39 51.8 19EU8 T09 C~89Ve 2020 01 30.622911 12 26 21.07 +02 39 52.0 19EU8 T09 C~89Ve 2020 01 30.663460 12 26 21.00 +02 39 52.8 19EU8 T09 C~89Ve 2023 01 21.615866 12 37 21.16 +01 36 30.6 19EU8 T14 C~89Ve 2023 01 21.619158 12 37 21.15 +01 36 30.6 19EU8 T14 C~89Ve 2023 01 21.621060 12 37 21.15 +01 36 30.7 19EU8 T14 C~89Ve 2023 01 21.625739 12 37 21.14 +01 36 30.8 19EU8 T14 C~89Ve
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 -0.18
2 0.7917 7680.25 0.03 80.64 0.02
3 0.7918 7678.69 0.10 80.84 0.02
4 0.7919 7677.53 -0.01 80.88 -0.06
5 0.7919 7677.45 0.01 81.06 0.11
6 0.8630 6419.63 -0.34 182.10 -0.07
7 0.8631 6416.95 -0.10 182.24 -0.04
8 0.9502 4497.60 -0.09 213.43 0.06
9 0.9503 4496.25 -0.11 213.16 -0.18
10 0.9503 4495.01 0.06 213.39 0.07
11 0.9553 4386.44 0.19 212.00 0.12
12 1.7747 11358.64 0.10 230.96 0.08
13 1.7748 11358.14 0.04 230.96 0.01
14 1.7749 11356.86 0.05 231.27 0.12
15 4.7508 22017.59 0.08 731.05 -0.00
16 4.7508 22017.46 0.00 730.99 -0.08
17 4.7508 22017.42 -0.00 731.08 -0.00
18 4.7508 22017.24 -0.09 731.11 0.00
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.