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: 22LW13
# Created Sun Dec 22 02:11:21 2024
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 1.27y
# First observation: 2022/06/02
# Last observation: 2023/09/10
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.038355 0.000004 0.007712 0.032307 0.000000
# Chi-squared of fit: 0.08 DOF: 30 RMS: 0.01
# Min/Max residuals: -0.03 0.03
# Exact a, adot, b, bdot, g, gdot:
1.891762E-05 3.815039E-02 3.854992E-06 7.784319E-03 3.212012E-02 1.078732E-04
# Covariance matrix:
2.5476E-13 6.9712E-13 -5.9513E-15 1.6088E-13 7.5923E-13 1.5765E-11
6.9712E-13 2.6880E-11 -1.6273E-12 4.6398E-11 1.7071E-11 4.6202E-09
-5.9513E-15 -1.6273E-12 2.4738E-13 -3.4736E-12 -9.3870E-13 -3.3527E-10
1.6088E-13 4.6398E-11 -3.4736E-12 9.6322E-11 2.6744E-11 9.5702E-09
7.5923E-13 1.7071E-11 -9.3870E-13 2.6744E-11 1.1527E-11 2.6624E-09
1.5765E-11 4.6202E-09 -3.3527E-10 9.5702E-09 2.6624E-09 9.5328E-07
# lat0 lon0 xBary yBary zBary JD0
0.235866 -72.438356 0.603658 0.003091 -0.816187 2459732.944521
# Heliocentric elements and errors
Epoch: 2459730.5000 = 2022/05/31
Mean Anomaly: 355.78335 +/- 5.840
Argument of Peri: 7.49341 +/- 8.823
Long of Asc Node: 285.36598 +/- 0.001
Inclination: 11.52452 +/- 0.008
Eccentricity: 0.19350611 +/- 0.0021
Semi-Major Axis: 39.58838818 +/- 0.0080
Time of Perihelion: 2460796.1504 +/- 1475.9
Perihelion: 31.92779311 +/- 0.0839
Aphelion: 47.24898325 +/- 0.0842
Period (y) 249.0921 +/- 0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 9.07405889 +/- 0.0010
Ecliptic Y -30.64399684 +/- 0.0031
Ecliptic Z 0.12835960 +/- 0.0000
Ecliptic XDOT 0.00310399 +/- 0.0000
Ecliptic YDOT 0.00098403 +/- 0.0001
Ecliptic ZDOT 0.00066344 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 31.95949880 +/- 0.0030
Geocenter to KBO 31.13313498 +/- 0.0033
# Hcoef: 9.76
The following table shows the complete astrometric record for 22LW13. 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 (22LW13) followed by the observatory code and reference code for the source of the astrometry.
2022 06 02.44372 19 15 59.682 -22 03 09.39 25.5r 22LW13 266 C~6IpY 2022 06 02.53086 19 15 59.241 -22 03 09.77 25.5r 22LW13 266 C~6IpY 2022 06 02.61096 19 15 58.835 -22 03 10.11 25.5r 22LW13 266 C~6IpY 2022 06 03.44086 19 15 54.706 -22 03 13.72 24.8r 22LW13 266 C~6IpY 2022 06 03.52767 19 15 54.259 -22 03 14.12 24.8r 22LW13 266 C~6IpY 2022 06 03.61505 19 15 53.809 -22 03 14.49 24.8r 22LW13 266 C~6IpY 2022 06 29.45230 19 13 22.463 -22 05 44.65 25.1r 22LW13 266 C~6IpY 2022 06 29.51813 19 13 22.032 -22 05 45.08 25.1r 22LW13 266 C~6IpY 2022 06 29.58257 19 13 21.611 -22 05 45.50 25.1r 22LW13 266 C~6IpY 2022 06 30.45132 19 13 16.029 -22 05 51.40 25.1r 22LW13 266 C~6IpY 2022 06 30.51752 19 13 15.593 -22 05 51.84 25.1r 22LW13 266 C~6IpY 2022 06 30.58389 19 13 15.158 -22 05 52.27 25.1r 22LW13 266 C~6IpY 2023 09 09.22891 19 16 06.744 -21 29 06.04 24.4V 22LW13 266 C~7umS 2023 09 09.32430 19 16 06.486 -21 29 06.20 24.4V 22LW13 266 C~7umS 2023 09 09.41985 19 16 06.230 -21 29 06.32 24.4V 22LW13 266 C~7umS 2023 09 10.22905 19 16 04.205 -21 29 07.59 23.9V 22LW13 266 C~7umS 2023 09 10.32490 19 16 03.956 -21 29 07.73 23.9V 22LW13 266 C~7umS 2023 09 10.42059 19 16 03.712 -21 29 07.83 23.9V 22LW13 266 C~7umS
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 -0.03 0.00 -0.00
2 0.0002 -6.13 -0.02 0.42 0.00
3 0.0005 -11.77 -0.01 0.81 -0.00
4 0.0027 -69.16 0.01 4.66 -0.00
5 0.0030 -75.37 0.01 5.07 -0.00
6 0.0032 -81.62 0.03 5.51 0.00
7 0.0739 -2187.48 0.00 124.36 0.01
8 0.0741 -2193.47 0.01 124.68 0.01
9 0.0743 -2199.33 0.01 125.00 0.01
10 0.0767 -2277.05 0.00 128.85 -0.01
11 0.0769 -2283.12 -0.01 129.17 -0.01
12 0.0770 -2289.17 -0.01 129.50 -0.01
13 1.2698 362.36 -0.01 2013.44 -0.02
14 1.2700 358.77 -0.00 2013.75 -0.02
15 1.2703 355.21 -0.01 2014.09 -0.02
16 1.2725 327.02 0.01 2016.49 0.02
17 1.2728 323.55 -0.00 2016.81 0.02
18 1.2730 320.16 0.00 2017.15 0.02
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.
22LW13 quality flag:2 Type: 3:2E CENTAURR CENTAURR axisobj 39.149 41.069 37.890 ecceobj 0.187 0.237 0.168 incobj 11.552 11.578 11.524 qmin 31.208 29.105 29.134 qmax 48.280 54.600 48.094 amean 39.456 40.348 38.061 amin 39.062 37.819 35.437 amax 39.913 43.096 39.214 emean 0.181 0.242 0.171 emin 0.154 0.184 0.126 emax 0.210 0.273 0.233 imean 13.741 13.050 14.472 imin 12.978 11.441 13.093 imax 14.544 14.933 15.750 excite_mean 0.299 0.332 0.304 fracstop 1.000 0.157 0.189 cjmean 2.950 2.938 2.937 libcent 0 180.6 -180.0 -180.0 libamp 0 65.7 -180.0 -180.0 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 188.8 180.5 140.8 kozaiamp 180.0 180.0 177.1