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: 22LZ16
# Created Wed Nov 27 02:11:11 2024
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 27.17d
# First observation: 2022/06/03
# Last observation: 2022/06/30
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.027930 -0.000000 -0.001429 0.025262 0.000000
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 0.08 DOF: 13 RMS: 0.02
# Min/Max residuals: -0.03 0.03
# Exact a, adot, b, bdot, g, gdot:
1.578939E-05 2.460489E-02 -9.119497E-07 -1.399063E-03 2.459271E-02 -1.800682E-03
# Covariance matrix:
1.6720E-11 2.5820E-08 -1.6599E-13 -1.9903E-10 4.7151E-09 1.3264E-07
2.5820E-08 4.1092E-05 -2.6393E-10 -3.1643E-07 7.4979E-06 2.0826E-04
-1.6599E-13 -2.6393E-10 4.8555E-13 -4.6484E-12 -4.8225E-11 -1.3825E-09
-1.9903E-10 -3.1643E-07 -4.6484E-12 2.5817E-09 -5.7838E-08 -1.6720E-06
4.7151E-09 7.4979E-06 -4.8225E-11 -5.7838E-08 1.3698E-06 3.9137E-05
1.3264E-07 2.0826E-04 -1.3825E-09 -1.6720E-06 3.9137E-05 1.8285E-03
# lat0 lon0 xBary yBary zBary JD0
1.044713 -73.229916 0.578505 0.014941 -0.834077 2459733.941661
# Heliocentric elements and errors
Epoch: 2459730.5000 = 2022/05/31
Mean Anomaly: 311.27446 +/- 90.136
Argument of Peri: 221.57051 +/- 294.055
Long of Asc Node: 123.49781 +/- 4.126
Inclination: 3.39749 +/- 0.784
Eccentricity: 0.11043522 +/- 1.3886
Semi-Major Axis: 44.39937478 +/- 11.2291
Time of Perihelion: 2474356.2418 +/- 135001.5
Perihelion: 39.49612006 +/- 62.4548
Aphelion: 49.30262949 +/- 62.8992
Period (y) 295.8513 +/- 112.24
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.42685498 +/- 0.5581
Ecliptic Y -39.89410705 +/- 1.8526
Ecliptic Z 0.74142439 +/- 0.0353
Ecliptic XDOT 0.00256743 +/- 0.0018
Ecliptic YDOT 0.00098854 +/- 0.0044
Ecliptic ZDOT -0.00015949 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 41.50496961 +/- 1.7873
Geocenter to KBO 40.66246459 +/- 1.9351
# Hcoef: 9.36
The following table shows the complete astrometric record for 22LZ16. 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 (22LZ16) followed by the observatory code and reference code for the source of the astrometry.
2022 06 03.44086 19 12 10.466 -21 21 00.93 25.3r 22LZ16 266 C~6Ipc 2022 06 03.52767 19 12 10.107 -21 21 01.55 25.3r 22LZ16 266 C~6Ipc 2022 06 03.61505 19 12 09.746 -21 21 02.14 25.3r 22LZ16 266 C~6Ipc 2022 06 29.45230 19 10 09.803 -21 24 32.86 25.4r 22LZ16 266 C~6Ipc 2022 06 29.52231 19 10 09.443 -21 24 33.49 25.4r 22LZ16 266 C~6Ipc 2022 06 29.59237 19 10 09.084 -21 24 34.11 25.4r 22LZ16 266 C~6Ipc 2022 06 30.45132 19 10 04.744 -21 24 42.00 25.6r 22LZ16 266 C~6Ipc 2022 06 30.53436 19 10 04.315 -21 24 42.75 25.6r 22LZ16 266 C~6Ipc 2022 06 30.61476 19 10 03.902 -21 24 43.46 25.6r 22LZ16 266 C~6Ipc
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 0.01 0.00 0.00
2 0.0002 -5.05 -0.01 0.00 -0.00
3 0.0005 -10.13 -0.00 0.04 -0.00
4 0.0712 -1698.70 -0.00 -5.34 0.03
5 0.0714 -1703.76 0.00 -5.36 0.03
6 0.0716 -1708.81 0.01 -5.38 0.02
7 0.0740 -1769.93 -0.00 -5.94 -0.02
8 0.0742 -1775.97 -0.01 -5.97 -0.02
9 0.0744 -1781.78 -0.00 -5.98 -0.03
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.
22LZ16 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0