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: 18HS12
# Created Sun Dec 22 02:11:02 2024
# Orbit generated from Bernstein formalism
# Fitting 13 observations of 13
# Arc: 0.97y
# First observation: 2018/03/18
# Last observation: 2019/03/08
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.033059 0.000004 -0.008678 0.029450 0.000000
# Chi-squared of fit: 4.15 DOF: 20 RMS: 0.10
# Min/Max residuals: -0.23 0.18
# Exact a, adot, b, bdot, g, gdot:
1.820790E-05 3.294343E-02 -4.647139E-06 -8.656030E-03 2.957346E-02 -2.509700E-03
# Covariance matrix:
4.9021E-13 1.1617E-12 2.1387E-14 -4.4249E-13 1.1573E-12 5.0414E-11
1.1617E-12 4.4055E-10 4.6674E-12 -1.0567E-10 1.0916E-10 1.2082E-08
2.1387E-14 4.6674E-12 3.2328E-13 -1.4190E-12 1.1802E-12 1.2845E-10
-4.4249E-13 -1.0567E-10 -1.4190E-12 2.5960E-11 -2.6562E-11 -2.9060E-09
1.1573E-12 1.0916E-10 1.1802E-12 -2.6562E-11 3.0070E-11 3.0363E-09
5.0414E-11 1.2082E-08 1.2845E-10 -2.9060E-09 3.0363E-09 3.3225E-07
# lat0 lon0 xBary yBary zBary JD0
1.573659 175.206219 -0.034172 0.027380 -0.993385 2458195.963881
# Heliocentric elements and errors
Epoch: 2458190.5000 = 2018/03/13
Mean Anomaly: 342.01040 +/- 3.418
Argument of Peri: 200.78756 +/- 5.346
Long of Asc Node: 1.07701 +/- 0.001
Inclination: 14.78451 +/- 0.002
Eccentricity: 0.19350230 +/- 0.0082
Semi-Major Axis: 42.40890424 +/- 0.1189
Time of Perihelion: 2463231.3397 +/- 957.4
Perihelion: 34.20268361 +/- 0.3612
Aphelion: 50.61512487 +/- 0.3760
Period (y) 276.1810 +/- 1.16
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -34.67764585 +/- 0.0062
Ecliptic Y 2.86665795 +/- 0.0005
Ecliptic Z 0.92846842 +/- 0.0002
Ecliptic XDOT -0.00003900 +/- 0.0001
Ecliptic YDOT -0.00306122 +/- 0.0000
Ecliptic ZDOT -0.00080759 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 34.80831658 +/- 0.0062
Geocenter to KBO 33.81410590 +/- 0.0063
# Hcoef: 8.23
The following table shows the complete astrometric record for 18HS12. 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 (18HS12) followed by the observatory code and reference code for the source of the astrometry.
2018 03 18.46308 11 44 54.07 +03 20 58.0 23.3i 18HS12 T09 C~83Fw 2018 03 18.50571 11 44 53.84 +03 20 59.2 23.3i 18HS12 T09 C~83Fw 2018 03 18.56269 11 44 53.53 +03 21 00.7 23.2i 18HS12 T09 C~83Fw 2018 04 24.35538 11 41 51.84 +03 36 43.8 23.2z 18HS12 T09 C~83Fw 2018 04 24.40148 11 41 51.65 +03 36 44.7 23.2z 18HS12 T09 C~83Fw 2018 04 24.48536 11 41 51.31 +03 36 46.2 23.4z 18HS12 T09 C~83Fw 2019 03 02.41733 11 52 31.45 +02 00 19.1 22.8y 18HS12 T09 C~83Fw 2019 03 02.51880 11 52 30.91 +02 00 22.1 23.8y 18HS12 T09 C~83Fw 2019 03 02.56189 11 52 30.67 +02 00 23.4 23.2y 18HS12 T09 C~83Fw 2019 03 02.60285 11 52 30.47 +02 00 24.4 24.0y 18HS12 T09 C~83Fw 2019 03 08.39383 11 51 59.96 +02 03 14.7 23.6r 18HS12 T09 C~83Fw 2019 03 08.42333 11 51 59.81 +02 03 15.3 23.7r 18HS12 T09 C~83Fw 2019 03 08.43604 11 51 59.75 +02 03 15.8 23.6r 18HS12 T09 C~83Fw
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 0.00
2 0.0001 -3.64 -0.00 -0.27 -0.02
3 0.0003 -8.49 0.15 -0.73 -0.18
4 0.1010 -2879.92 -0.01 -214.17 0.07
5 0.1011 -2882.89 -0.04 -214.48 0.10
6 0.1014 -2888.16 0.02 -215.12 0.05
7 0.9554 8217.00 0.06 -1714.03 0.05
8 0.9557 8208.36 -0.03 -1714.50 0.08
9 0.9558 8204.54 -0.23 -1714.74 0.05
10 0.9559 8201.39 0.06 -1715.02 -0.02
11 0.9717 7713.30 -0.15 -1741.00 0.01
12 0.9718 7711.00 0.10 -1741.34 -0.18
13 0.9719 7709.97 0.18 -1741.24 -0.01
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.
18HS12 quality flag:3 Type: 5:3EE 5:3EE 5:3EE axisobj 42.090 42.388 41.986 ecceobj 0.186 0.184 0.194 incobj 14.830 14.824 14.835 qmin 32.241 32.678 31.060 qmax 52.896 52.866 54.305 amean 42.327 42.327 42.327 amin 41.889 41.781 41.805 amax 42.827 42.953 42.935 emean 0.203 0.196 0.217 emin 0.168 0.143 0.130 emax 0.237 0.231 0.266 imean 14.637 14.289 13.908 imin 13.390 12.529 11.704 imax 16.029 16.393 16.793 excite_mean 0.325 0.316 0.327 fracstop 1.000 1.000 1.000 cjmean 2.957 2.963 2.955 libcent 0 179.5 175.5 179.2 libamp 0 83.7 154.4 142.8 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 164.3 195.7 173.9 kozaiamp 179.9 180.0 179.9