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: 22LZ15
# Created Sat Feb 22 02:11:30 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 1.27y
# First observation: 2022/06/02
# Last observation: 2023/09/10
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.026897 0.000000 0.001532 0.025418 0.000000
# Chi-squared of fit: 0.04 DOF: 24 RMS: 0.01
# Min/Max residuals: -0.02 0.02
# Exact a, adot, b, bdot, g, gdot:
1.663566E-05 2.674339E-02 8.928407E-07 1.537543E-03 2.529224E-02 -2.625969E-03
# Covariance matrix:
2.5773E-13 3.5110E-13 -1.0359E-14 4.1447E-13 1.0402E-12 2.2511E-10
3.5110E-13 4.3030E-11 1.0662E-12 -4.7715E-11 -2.7323E-11 -2.6259E-08
-1.0359E-14 1.0662E-12 2.0203E-13 -1.5875E-12 -1.0489E-12 -7.9738E-10
4.1447E-13 -4.7715E-11 -1.5875E-12 6.4604E-11 4.6139E-11 3.5373E-08
1.0402E-12 -2.7323E-11 -1.0489E-12 4.6139E-11 3.9525E-11 2.5342E-08
2.2511E-10 -2.6259E-08 -7.9738E-10 3.5373E-08 2.5342E-08 1.9448E-05
# lat0 lon0 xBary yBary zBary JD0
1.245066 -72.694971 0.599997 0.017524 -0.818701 2459732.944521
# Heliocentric elements and errors
Epoch: 2459730.5000 = 2022/05/31
Mean Anomaly: 331.54546 +/- 24.193
Argument of Peri: 62.31559 +/- 41.490
Long of Asc Node: 266.24440 +/- 0.080
Inclination: 3.52485 +/- 0.013
Eccentricity: 0.19769851 +/- 0.1231
Semi-Major Axis: 48.17317552 +/- 2.2718
Time of Perihelion: 2469383.3453 +/- 8178.6
Perihelion: 38.64941056 +/- 6.2062
Aphelion: 57.69694048 +/- 6.5267
Period (y) 334.3614 +/- 23.65
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.43843861 +/- 0.0029
Ecliptic Y -38.70132888 +/- 0.0094
Ecliptic Z 0.85922020 +/- 0.0002
Ecliptic XDOT 0.00268003 +/- 0.0001
Ecliptic YDOT 0.00114490 +/- 0.0005
Ecliptic ZDOT 0.00016011 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.36544307 +/- 0.0090
Geocenter to KBO 39.53781106 +/- 0.0098
# Hcoef: 9.18
The following table shows the complete astrometric record for 22LZ15. 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 (22LZ15) followed by the observatory code and reference code for the source of the astrometry.
2022 06 02.44372 19 14 20.632 -21 05 04.60 25.3r 22LZ15 266 C~6Ipb 2022 06 02.53086 19 14 20.274 -21 05 05.06 25.3r 22LZ15 266 C~6Ipb 2022 06 02.61096 19 14 19.945 -21 05 05.47 25.3r 22LZ15 266 C~6Ipb 2022 06 03.44086 19 14 16.603 -21 05 09.82 25.2r 22LZ15 266 C~6Ipb 2022 06 03.52767 19 14 16.241 -21 05 10.29 25.2r 22LZ15 266 C~6Ipb 2022 06 03.61505 19 14 15.877 -21 05 10.75 25.2r 22LZ15 266 C~6Ipb 2022 06 29.45230 19 12 14.367 -21 08 03.35 25.0r 22LZ15 266 C~6Ipb 2022 06 29.51813 19 12 14.023 -21 08 03.85 25.0r 22LZ15 266 C~6Ipb 2022 06 29.58257 19 12 13.687 -21 08 04.34 25.0r 22LZ15 266 C~6Ipb 2023 09 09.22891 19 13 37.129 -21 00 11.22 22LZ15 266 C~8ecH 2023 09 09.32430 19 13 36.920 -21 00 11.66 22LZ15 266 C~8ecH 2023 09 09.41985 19 13 36.713 -21 00 12.08 22LZ15 266 C~8ecH 2023 09 10.22905 19 13 35.073 -21 00 15.79 22LZ15 266 C~8ecH 2023 09 10.32490 19 13 34.872 -21 00 16.22 22LZ15 266 C~8ecH 2023 09 10.42059 19 13 34.675 -21 00 16.62 22LZ15 266 C~8ecH
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 0.02 0.00 0.01
2 0.0002 -5.03 0.01 0.18 0.02
3 0.0005 -9.65 0.00 0.36 0.01
4 0.0027 -56.60 -0.00 1.97 -0.00
5 0.0030 -61.68 -0.01 2.15 -0.00
6 0.0032 -66.79 -0.01 2.33 -0.01
7 0.0739 -1775.40 -0.01 43.82 -0.01
8 0.0741 -1780.24 0.00 43.92 -0.01
9 0.0743 -1784.96 0.01 44.01 -0.02
10 1.2698 -567.11 -0.00 367.92 -0.01
11 1.2700 -570.07 -0.00 367.85 -0.01
12 1.2703 -573.00 -0.01 367.80 -0.01
13 1.2725 -596.25 0.00 367.01 0.01
14 1.2728 -599.10 0.00 366.93 0.01
15 1.2730 -601.88 0.01 366.88 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.
22LZ15 quality flag:1 Type: 2:1E CENTAURR 2:1E axisobj 47.654 66.370 47.576 ecceobj 0.192 0.592 0.177 incobj 3.538 3.495 3.541 qmin 37.834 26.751 38.427 qmax 58.310 106.581 57.564 amean 47.798 65.364 47.798 amin 47.290 64.018 47.354 amax 48.357 67.048 48.304 emean 0.187 0.582 0.174 emin 0.166 0.572 0.157 emax 0.207 0.595 0.194 imean 4.813 5.866 4.872 imin 4.329 4.971 4.512 imax 5.485 6.765 5.237 excite_mean 0.205 0.591 0.194 fracstop 1.000 0.016 1.000 cjmean 3.096 2.845 3.102 libcent 0 271.4 -180.0 273.9 libamp 0 34.2 -180.0 17.7 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 182.5 125.8 181.6 kozaiamp 180.0 18.7 180.0