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: 21LQ43
# Created Sun Dec 22 02:11:17 2024
# Orbit generated from Bernstein formalism
# Fitting 10 observations of 10
# Arc: 2.86y
# First observation: 2021/06/06
# Last observation: 2024/04/14
Preliminary a, adot, b, bdot, g, gdot:
-0.000017 0.010867 0.000013 -0.001936 0.015332 0.000000
# Chi-squared of fit: 6.05 DOF: 14 RMS: 0.14
# Min/Max residuals: -0.38 0.36
# Exact a, adot, b, bdot, g, gdot:
1.014312E-05 1.060511E-02 -1.910420E-06 -1.906723E-03 1.544204E-02 -4.434868E-03
# Covariance matrix:
7.2633E-13 -9.2623E-13 -4.2709E-14 1.0223E-13 -3.0558E-13 -1.7292E-11
-9.2623E-13 9.3619E-12 4.7754E-13 -1.0071E-12 -4.6349E-12 1.7400E-10
-4.2709E-14 4.7754E-13 3.6525E-13 -2.3007E-13 -2.3248E-13 9.0684E-12
1.0223E-13 -1.0071E-12 -2.3007E-13 2.7286E-13 4.6472E-13 -1.9241E-11
-3.0558E-13 -4.6349E-12 -2.3248E-13 4.6472E-13 3.7692E-12 -8.1071E-11
-1.7292E-11 1.7400E-10 9.0684E-12 -1.9241E-11 -8.1071E-11 3.3209E-09
# lat0 lon0 xBary yBary zBary JD0
6.308462 -137.474748 -0.541464 0.093760 -0.849742 2459371.635831
# Heliocentric elements and errors
Epoch: 2459370.5000 = 2021/06/05
Mean Anomaly: 283.68924 +/- 0.603
Argument of Peri: 267.83829 +/- 0.231
Long of Asc Node: 74.01950 +/- 0.006
Inclination: 11.95666 +/- 0.002
Eccentricity: 0.37972988 +/- 0.0039
Semi-Major Axis: 62.36900697 +/- 0.1673
Time of Perihelion: 2497506.4857 +/- 259.4
Perihelion: 38.68563123 +/- 0.2663
Aphelion: 86.05238270 +/- 0.3368
Period (y) 492.5626 +/- 1.98
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -47.69254645 +/- 0.0060
Ecliptic Y -44.48843791 +/- 0.0055
Ecliptic Z 7.11563202 +/- 0.0009
Ecliptic XDOT 0.00182510 +/- 0.0000
Ecliptic YDOT -0.00087548 +/- 0.0000
Ecliptic ZDOT -0.00042260 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 65.60817261 +/- 0.0057
Geocenter to KBO 64.75829755 +/- 0.0081
# Hcoef: 6.04
The following table shows the complete astrometric record for 21LQ43. 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 (21LQ43) followed by the observatory code and reference code for the source of the astrometry.
2021 06 06.13503 14 48 05.512 -09 34 47.38 24.2r 21LQ43 807 C~6Eqd 2021 06 07.05739 14 48 03.071 -09 34 40.29 24.3r 21LQ43 807 C~6Eqe 2022 04 08.21843 14 53 17.693 -10 03 58.38 24.1r 21LQ43 304 C~6Eqe 2022 04 08.25692 14 53 17.588 -10 03 57.79 24.2r 21LQ43 304 C~6Eqe 2022 04 09.16440 14 53 15.079 -10 03 45.15 24.0r 21LQ43 304 C~6Eqe 2022 04 29.28459 14 52 14.765 -09 59 02.68 24.0r 21LQ43 304 C~6Eqe 2022 04 29.35412 14 52 14.542 -09 59 01.57 24.1r 21LQ43 304 C~6Eqe 2022 04 30.30364 14 52 11.550 -09 58 48.67 24.0r 21LQ43 304 C~6Eqe 2024 04 14.376610 14 57 32.072 -10 36 52.67 23.8G 21LQ43 G37 C~7zsH 2024 04 14.459920 14 57 31.824 -10 36 50.73 21LQ43 G37 C~7zsH
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 0.15 0.00 -0.01
2 0.0025 -36.58 -0.15 -3.96 -0.03
3 0.8380 4926.34 -0.04 -309.59 0.03
4 0.8381 4924.69 -0.01 -309.48 0.10
5 0.8406 4885.53 0.03 -308.28 -0.02
6 0.8957 3950.53 0.06 -300.20 -0.09
7 0.8959 3947.05 -0.00 -300.10 0.05
8 0.8985 3900.99 -0.04 -300.79 -0.02
9 2.8562 9097.98 0.11 -1102.45 -0.38
10 2.8565 9093.91 -0.11 -1101.65 0.36
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.
21LQ43 quality flag:2 Type: 3:1EE 3:1EE SCATNEAR axisobj 61.816 62.285 61.375 ecceobj 0.380 0.391 0.369 incobj 12.003 12.006 12.000 qmin 38.120 37.250 38.603 qmax 88.993 89.561 86.218 amean 62.629 62.630 61.839 amin 61.558 61.742 61.140 amax 63.906 63.801 62.801 emean 0.379 0.390 0.362 emin 0.366 0.376 0.350 emax 0.393 0.405 0.374 imean 10.780 10.298 10.979 imin 10.540 9.695 10.569 imax 11.046 10.762 11.417 excite_mean 0.423 0.429 0.409 fracstop 1.000 1.000 1.000 cjmean 3.102 3.094 3.110 libcent 0 179.8 93.3 -180.0 libamp 0 169.7 59.5 -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 179.4 178.7 176.5 kozaiamp 180.0 180.0 180.0