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: 22LZ13
# Created Mon Apr 28 01:11:30 2025
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 28.13d
# First observation: 2022/06/02
# Last observation: 2022/06/30
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.022971 -0.000000 -0.000361 0.023157 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 0.03 DOF: 19 RMS: 0.01
# Min/Max residuals: -0.02 0.02
# Exact a, adot, b, bdot, g, gdot:
1.427673E-05 2.038739E-02 -2.787734E-07 -3.523826E-04 2.262762E-02 6.524378E-03
# Covariance matrix:
1.9733E-12 3.1956E-09 -1.4788E-14 -9.0357E-12 5.7478E-10 6.3876E-09
3.1956E-09 6.0506E-06 -2.7776E-11 -1.6974E-08 1.0796E-06 6.8766E-06
-1.4788E-14 -2.7776E-11 2.5077E-13 -3.3105E-12 -4.9691E-12 -4.0615E-11
-9.0357E-12 -1.6974E-08 -3.3105E-12 1.3697E-10 -3.0365E-09 -2.4675E-08
5.7478E-10 1.0796E-06 -4.9691E-12 -3.0365E-09 1.9314E-07 1.5780E-06
6.3876E-09 6.8766E-06 -4.0615E-11 -2.4675E-08 1.5780E-06 2.5009E-04
# lat0 lon0 xBary yBary zBary JD0
0.373877 -72.123370 0.608136 0.005035 -0.812846 2459732.944521
# Heliocentric elements and errors
Epoch: 2459730.5000 = 2022/05/31
Mean Anomaly: 69.06284 +/- 90.915
Argument of Peri: 56.85936 +/- 50.629
Long of Asc Node: 127.67313 +/- 2.018
Inclination: 1.04532 +/- 0.099
Eccentricity: 0.28950055 +/- 0.6999
Semi-Major Axis: 46.03567226 +/- 23.4550
Time of Perihelion: 2437843.7097 +/- 23459.4
Perihelion: 32.70831975 +/- 36.2745
Aphelion: 59.36302477 +/- 44.1916
Period (y) 312.3561 +/- 238.72
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 13.24613232 +/- 0.2634
Ecliptic Y -43.02132431 +/- 0.8169
Ecliptic Z 0.28844321 +/- 0.0056
Ecliptic XDOT 0.00259185 +/- 0.0007
Ecliptic YDOT 0.00001467 +/- 0.0018
Ecliptic ZDOT -0.00003760 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.01530369 +/- 0.7845
Geocenter to KBO 44.19378547 +/- 0.8583
# Hcoef: 9.46
The following table shows the complete astrometric record for 22LZ13. 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 (22LZ13) followed by the observatory code and reference code for the source of the astrometry.
2022 06 02.44372 19 17 15.834 -21 52 28.78 26.3r 22LZ13 266 C~6IpZ 2022 06 02.53086 19 17 15.505 -21 52 29.37 26.3r 22LZ13 266 C~6IpZ 2022 06 02.61096 19 17 15.202 -21 52 29.91 26.3r 22LZ13 266 C~6IpZ 2022 06 03.44086 19 17 12.120 -21 52 35.55 25.8r 22LZ13 266 C~6IpZ 2022 06 03.52767 19 17 11.788 -21 52 36.15 25.8r 22LZ13 266 C~6IpZ 2022 06 03.61505 19 17 11.452 -21 52 36.74 25.8r 22LZ13 266 C~6IpZ 2022 06 29.45230 19 15 19.536 -21 56 00.84 25.9r 22LZ13 266 C~6IpZ 2022 06 29.51532 19 15 19.232 -21 56 01.38 25.9r 22LZ13 266 C~6IpZ 2022 06 29.57697 19 15 18.936 -21 56 01.90 25.9r 22LZ13 266 C~6IpZ 2022 06 30.45132 19 15 14.798 -21 56 09.51 25.6r 22LZ13 266 C~6IpZ 2022 06 30.51613 19 15 14.485 -21 56 10.07 25.6r 22LZ13 266 C~6IpZ 2022 06 30.57829 19 15 14.185 -21 56 10.59 25.6r 22LZ13 266 C~6IpZ
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 0.01
2 0.0002 -4.62 -0.00 0.02 0.01
3 0.0005 -8.87 0.00 0.04 0.01
4 0.0027 -52.14 -0.00 0.09 -0.01
5 0.0030 -56.80 0.01 0.10 -0.01
6 0.0032 -61.51 0.01 0.13 -0.01
7 0.0739 -1632.40 -0.00 0.17 0.01
8 0.0741 -1636.67 -0.01 0.18 0.02
9 0.0743 -1640.82 -0.00 0.20 0.01
10 0.0767 -1698.90 0.00 0.04 -0.01
11 0.0769 -1703.29 0.01 0.04 -0.02
12 0.0770 -1707.50 0.01 0.06 -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.
22LZ13 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