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: 20LA21
# Created Mon Apr 28 01:11:22 2025
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 24.18d
# First observation: 2020/06/01
# Last observation: 2020/06/25
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.026212 -0.000000 -0.001112 0.024473 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 0.11 DOF: 19 RMS: 0.02
# Min/Max residuals: -0.03 0.04
# Exact a, adot, b, bdot, g, gdot:
1.534299E-05 2.313869E-02 -7.018781E-07 -1.043819E-03 2.384129E-02 3.143732E-03
# Covariance matrix:
2.4473E-12 3.0450E-09 -9.5664E-14 -6.6817E-11 5.9365E-10 3.4877E-08
3.0450E-09 4.7470E-06 -1.4832E-10 -1.0382E-07 9.2063E-07 5.2222E-05
-9.5664E-14 -1.4832E-10 4.7356E-13 -4.7414E-12 -2.8794E-11 -1.6555E-09
-6.6817E-11 -1.0382E-07 -4.7414E-12 2.4546E-09 -2.0141E-08 -1.1460E-06
5.9365E-10 9.2063E-07 -2.8794E-11 -2.0141E-08 1.7872E-07 1.0263E-05
3.4877E-08 5.2222E-05 -1.6555E-09 -1.1460E-06 1.0263E-05 6.8681E-04
# lat0 lon0 xBary yBary zBary JD0
2.506556 -72.297811 0.607207 0.035123 -0.805283 2459001.933491
# Heliocentric elements and errors
Epoch: 2459000.5000 = 2020/05/31
Mean Anomaly: 61.31601 +/- 50.942
Argument of Peri: 60.60650 +/- 70.632
Long of Asc Node: 151.01478 +/- 2.423
Inclination: 3.52925 +/- 0.156
Eccentricity: 0.12884823 +/- 1.1697
Semi-Major Axis: 44.91336923 +/- 20.1049
Time of Perihelion: 2440275.0068 +/- 9161.9
Perihelion: 39.12636129 +/- 55.3780
Aphelion: 50.70037716 +/- 57.2281
Period (y) 301.0036 +/- 202.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.41400443 +/- 0.2259
Ecliptic Y -40.87909780 +/- 0.7079
Ecliptic Z 1.83440950 +/- 0.0325
Ecliptic XDOT 0.00265072 +/- 0.0011
Ecliptic YDOT 0.00046296 +/- 0.0028
Ecliptic ZDOT -0.00010420 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 42.76181943 +/- 0.6799
Geocenter to KBO 41.94404255 +/- 0.7437
# Hcoef: 9.93
The following table shows the complete astrometric record for 20LA21. 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 (20LA21) followed by the observatory code and reference code for the source of the astrometry.
2020 06 01.43269 19 15 20.215 -19 46 57.96 26.3r 20LA21 266 C~6c5e 2020 06 01.47325 19 15 20.059 -19 46 58.19 26.3r 20LA21 266 C~6c5e 2020 06 01.60571 19 15 19.548 -19 46 58.89 26.3r 20LA21 266 C~6c5e 2020 06 20.45583 19 13 59.258 -19 49 03.65 26.4r 20LA21 266 C~6c5e 2020 06 20.52860 19 13 58.913 -19 49 04.22 26.4r 20LA21 266 C~6c5e 2020 06 20.62233 19 13 58.469 -19 49 04.93 26.4r 20LA21 266 C~6c5e 2020 06 22.44948 19 13 49.916 -19 49 19.36 26.0r 20LA21 266 C~6c5e 2020 06 22.52092 19 13 49.573 -19 49 19.93 26.0r 20LA21 266 C~6c5e 2020 06 22.59118 19 13 49.236 -19 49 20.48 26.0r 20LA21 266 C~6c5e 2020 06 25.44823 19 13 35.658 -19 49 43.88 25.9r 20LA21 266 C~6c5e 2020 06 25.53213 19 13 35.249 -19 49 44.58 25.9r 20LA21 266 C~6c5e 2020 06 25.61487 19 13 34.846 -19 49 45.24 25.9r 20LA21 266 C~6c5e
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 0.00 0.00 0.00
2 0.0001 -2.21 -0.00 0.05 -0.01
3 0.0005 -9.46 0.00 0.29 -0.01
4 0.0521 -1149.27 -0.00 21.07 -0.01
5 0.0523 -1154.17 0.00 21.12 -0.01
6 0.0525 -1160.48 -0.00 21.21 -0.01
7 0.0575 -1282.03 -0.00 22.16 0.04
8 0.0577 -1286.91 0.00 22.20 0.04
9 0.0579 -1291.70 0.00 22.26 0.04
10 0.0658 -1484.72 -0.00 23.21 -0.02
11 0.0660 -1490.54 0.00 23.25 -0.03
12 0.0662 -1496.26 -0.00 23.31 -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.
20LA21 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