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: 18HL14
# Created Sun Nov 24 02:10:53 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 18 observations of 18
# Arc: 8.31y
# First observation: 2010/12/13
# Last observation: 2019/04/05
# Chi-squared of fit: 8.61 DOF: 30 RMS: 0.12
# Min/Max residuals: -0.26 0.29
# Exact a, adot, b, bdot, g, gdot:
1.476543E-05 2.062701E-02 -1.417679E-07 -4.658591E-04 2.234112E-02 1.128584E-03
# Covariance matrix:
3.6711E-13 -1.0103E-13 -8.6574E-17 1.2066E-15 -5.7136E-14 -3.3389E-13
-1.0103E-13 1.6522E-12 2.3461E-15 -3.8024E-14 2.5796E-12 9.3864E-12
-8.6574E-17 2.3461E-15 3.6288E-13 -4.7349E-14 3.5717E-15 1.3501E-14
1.2066E-15 -3.8024E-14 -4.7349E-14 8.7494E-15 -6.0046E-14 -2.1666E-13
-5.7136E-14 2.5796E-12 3.5717E-15 -6.0046E-14 4.3452E-12 1.4427E-11
-3.3389E-13 9.3864E-12 1.3501E-14 -2.1666E-13 1.4427E-11 5.3878E-11
# lat0 lon0 xBary yBary zBary JD0
2.317404 170.811740 0.984627 0.000481 -0.011515 2455544.018101
# Heliocentric elements and errors
Epoch: 2455544.5000 = 2010/12/14
Mean Anomaly: 133.78190 +/- 0.206
Argument of Peri: 340.68230 +/- 0.210
Long of Asc Node: 51.26489 +/- 0.004
Inclination: 2.63013 +/- 0.000
Eccentricity: 0.04785818 +/- 0.0003
Semi-Major Axis: 43.29573389 +/- 0.0092
Time of Perihelion: 2416875.6792 +/- 60.8
Perihelion: 41.22367878 +/- 0.0164
Aphelion: 45.36778900 +/- 0.0169
Period (y) 284.8891 +/- 0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -44.00012534 +/- 0.0041
Ecliptic Y 8.11382167 +/- 0.0007
Ecliptic Z 1.80986727 +/- 0.0002
Ecliptic XDOT -0.00054298 +/- 0.0000
Ecliptic YDOT -0.00246669 +/- 0.0000
Ecliptic ZDOT -0.00005145 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.77855292 +/- 0.0040
Geocenter to KBO 44.76048570 +/- 0.0042
# Hcoef: 7.55
The following table shows the complete astrometric record for 18HL14. 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 (18HL14) followed by the observatory code and reference code for the source of the astrometry.
2010 12 13.517335 11 29 53.95 +05 46 17.8 18HL14 T14 C~8MgL 2010 12 13.523097 11 29 53.95 +05 46 17.9 18HL14 T14 C~8MgL 2010 12 13.530370 11 29 53.97 +05 46 17.8 18HL14 T14 C~8MgL 2010 12 13.537393 11 29 53.97 +05 46 17.7 18HL14 T14 C~8MgL 2018 03 18.46982 11 56 32.36 +02 43 21.3 23.9i 18HL14 T09 C~8MgL 2018 03 18.49758 11 56 32.22 +02 43 22.1 23.8i 18HL14 T09 C~8MgL 2018 03 18.57070 11 56 31.92 +02 43 23.8 23.8i 18HL14 T09 C~8MgL 2018 04 12.127966 11 54 50.894 +02 53 56.83 24.2V 18HL14 W84 C~8MgL 2018 04 24.36214 11 54 06.97 +02 58 18.0 24.0z 18HL14 T09 C~8MgL 2018 04 24.36552 11 54 06.94 +02 58 18.5 23.7z 18HL14 T09 C~8MgL 2018 04 24.40683 11 54 06.81 +02 58 19.0 23.9z 18HL14 T09 C~8MgL 2018 04 24.43720 11 54 06.72 +02 58 19.7 23.4z 18HL14 T09 C~8MgL 2018 04 24.50676 11 54 06.47 +02 58 20.7 24.2z 18HL14 T09 C~8MgL 2019 02 05.662517 12 03 25.98 +01 55 43.5 18HL14 T09 C~8MgL 2019 02 28.554578 12 02 08.01 +02 04 42.0 18HL14 T09 C~8MgL 2019 03 08.364398 12 01 36.68 +02 08 10.7 18HL14 T09 C~8MgL 2019 03 08.427512 12 01 36.41 +02 08 12.4 18HL14 T09 C~8MgL 2019 04 05.541243 11 59 38.66 +02 20 46.1 18HL14 T09 C~8MgL
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 -0.05 0.00 -0.02
2 0.0000 0.00 -0.11 0.00 0.09
3 0.0000 0.00 0.12 0.00 -0.01
4 0.0001 0.00 0.05 0.00 -0.10
5 7.2607 0.00 0.18 0.00 0.11
6 7.2607 0.00 -0.13 0.00 0.15
7 7.2609 0.00 0.10 0.00 -0.14
8 7.3282 0.00 -0.07 0.00 0.11
9 7.3617 0.00 0.10 0.00 -0.15
10 7.3617 0.00 -0.17 0.00 0.29
11 7.3618 0.00 -0.03 0.00 -0.01
12 7.3619 0.00 0.16 0.00 0.11
13 7.3621 0.00 -0.08 0.00 -0.23
14 8.1482 0.00 -0.09 0.00 0.12
15 8.2109 0.00 0.07 0.00 -0.26
16 8.2323 0.00 0.01 0.00 -0.00
17 8.2325 0.00 -0.08 0.00 -0.01
18 8.3094 0.00 -0.02 0.00 -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.