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: 21LM43 # Created Tue Apr 1 01:11:24 2025 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 0.82y # First observation: 2021/06/13 # Last observation: 2022/04/08 Preliminary a, adot, b, bdot, g, gdot: -0.000058 0.013231 0.000001 0.003391 0.016990 0.000000 # Chi-squared of fit: 6.81 DOF: 14 RMS: 0.15 # Min/Max residuals: -0.20 0.32 # Exact a, adot, b, bdot, g, gdot: 1.306034E-05 1.322162E-02 3.971071E-06 3.438473E-03 1.731841E-02 9.138372E-03 # Covariance matrix: 6.5256E-13 1.2800E-12 -4.2950E-14 4.7915E-13 1.8721E-12 1.6108E-10 1.2800E-12 8.1103E-11 -1.0775E-12 1.3281E-11 3.4414E-11 4.4523E-09 -4.2950E-14 -1.0775E-12 2.9619E-13 -6.2125E-13 -5.3233E-13 -6.4076E-11 4.7915E-13 1.3281E-11 -6.2125E-13 3.7431E-12 6.3916E-12 7.7997E-10 1.8721E-12 3.4414E-11 -5.3233E-13 6.3916E-12 1.8693E-11 2.1442E-09 1.6108E-10 4.4523E-09 -6.4076E-11 7.7997E-10 2.1442E-09 2.6156E-07 # lat0 lon0 xBary yBary zBary JD0 -1.036944 -117.108103 -0.322566 -0.017526 -0.958876 2459378.523871 # Heliocentric elements and errors Epoch: 2459370.5000 = 2021/06/05 Mean Anomaly: 27.31803 +/- 2.962 Argument of Peri: 258.57158 +/- 0.421 Long of Asc Node: 247.12296 +/- 0.001 Inclination: 14.64158 +/- 0.005 Eccentricity: 0.62360989 +/- 0.0341 Semi-Major Axis: 88.35300815 +/- 6.1346 Time of Perihelion: 2436351.9814 +/- 694.1 Perihelion: 33.25519825 +/- 3.7931 Aphelion: 143.45081806 +/- 10.4049 Period (y) 830.5011 +/- 86.50 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.44858748 +/- 0.0066 Ecliptic Y -52.39651790 +/- 0.0128 Ecliptic Z -1.04470273 +/- 0.0003 Ecliptic XDOT 0.00120346 +/- 0.0000 Ecliptic YDOT -0.00223981 +/- 0.0001 Ecliptic ZDOT 0.00051716 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 58.70276205 +/- 0.0118 Geocenter to KBO 57.74203251 +/- 0.0144 # Hcoef: 7.21
The following table shows the complete astrometric record for 21LM43. 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 (21LM43) followed by the observatory code and reference code for the source of the astrometry.
2021 06 13.02307 16 02 29.886 -21 45 15.33 24.9r 21LM43 807 C~6DKi 2021 06 13.15379 16 02 29.447 -21 45 13.78 25.1r 21LM43 807 C~6DKi 2021 07 12.06924 16 01 03.871 -21 40 00.75 25.1r 21LM43 304 C~6DKi 2021 07 14.12384 16 00 59.216 -21 39 42.11 24.9r 21LM43 304 C~6DKi 2021 07 14.21570 16 00 59.000 -21 39 41.03 25.0r 21LM43 304 C~6DKi 2021 09 03.01089 16 00 30.776 -21 35 52.32 24.5r 21LM43 304 C~6DKi 2021 09 03.08707 16 00 30.852 -21 35 52.12 24.5r 21LM43 304 C~6DKi 2022 03 07.33586 16 10 15.888 -21 56 38.39 24.9r 21LM43 304 C~6DKi 2022 04 08.29854 16 09 31.633 -21 54 08.26 24.8r 21LM43 304 C~6DKi 2022 04 08.34513 16 09 31.507 -21 54 07.89 25.0r 21LM43 304 C~6DKi
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 -0.20 0.00 -0.17
2 0.0004 -6.30 0.10 0.33 -0.11
3 0.0795 -1237.15 0.32 73.17 0.00
4 0.0851 -1304.44 0.01 78.63 -0.13
5 0.0854 -1307.61 -0.18 79.09 0.08
6 0.2245 -1738.66 0.08 225.39 0.14
7 0.2247 -1737.67 -0.14 225.80 0.32
8 0.7319 6502.22 0.03 555.48 0.03
9 0.8194 5868.74 0.08 590.14 -0.07
10 0.8195 5866.95 -0.10 590.18 -0.08
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.
21LM43 quality flag:1 Type: SCATNEAR 7:1EEEEEE 4:1EEE axisobj 87.549 108.945 74.702 ecceobj 0.623 0.712 0.534 incobj 14.703 14.699 14.707 qmin 32.307 30.453 34.076 qmax 148.733 197.033 120.685 amean 88.045 110.182 75.870 amin 86.031 107.247 74.521 amax 91.004 114.212 77.683 emean 0.620 0.714 0.541 emin 0.606 0.704 0.530 emax 0.636 0.725 0.554 imean 16.547 15.795 15.748 imin 15.757 15.404 15.445 imax 17.523 16.070 16.009 excite_mean 0.683 0.764 0.605 fracstop 1.000 1.000 1.000 cjmean 2.912 2.850 2.967 libcent 0 -180.0 181.0 180.8 libamp 0 -180.0 168.9 155.4 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 164.8 282.2 173.0 kozaiamp 180.0 180.0 180.0