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: 21LF44
# Created Sun Dec 22 02:11:17 2024
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 88.95d
# First observation: 2021/06/09
# Last observation: 2021/09/06
Preliminary a, adot, b, bdot, g, gdot:
-0.000008 0.045914 -0.000007 -0.008578 0.030156 0.000000
# Chi-squared of fit: 0.13 DOF: 18 RMS: 0.02
# Min/Max residuals: -0.03 0.04
# Exact a, adot, b, bdot, g, gdot:
1.592066E-05 2.718854E-02 -5.130716E-06 -8.723904E-03 2.691398E-02 -1.279908E-03
# Covariance matrix:
3.6255E-13 -2.0975E-11 1.6418E-14 -7.1054E-13 -2.0393E-12 2.9270E-10
-2.0975E-11 2.2724E-07 -8.2962E-11 2.7155E-09 3.6951E-08 -9.2529E-07
1.6418E-14 -8.2962E-11 2.4696E-13 -2.1493E-12 -1.3416E-11 3.5127E-10
-7.1054E-13 2.7155E-09 -2.1493E-12 4.7612E-11 4.3770E-10 -1.1751E-08
-2.0393E-12 3.6951E-08 -1.3416E-11 4.3770E-10 6.0187E-09 -1.4873E-07
2.9270E-10 -9.2529E-07 3.5127E-10 -1.1751E-08 -1.4873E-07 4.0782E-06
# lat0 lon0 xBary yBary zBary JD0
0.671159 -72.835657 0.492378 0.010140 -0.883989 2459374.942811
# Heliocentric elements and errors
Epoch: 2459370.5000 = 2021/06/05
Mean Anomaly: 331.13606 +/- 19.452
Argument of Peri: 213.54653 +/- 26.188
Long of Asc Node: 108.47832 +/- 0.033
Inclination: 17.76321 +/- 0.286
Eccentricity: 0.10935694 +/- 0.0636
Semi-Major Axis: 41.93024478 +/- 1.3642
Time of Perihelion: 2467321.8819 +/- 5344.4
Perihelion: 37.34488158 +/- 2.9316
Aphelion: 46.51560797 +/- 3.0673
Period (y) 271.5184 +/- 13.25
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 10.76297003 +/- 0.0316
Ecliptic Y -36.49294048 +/- 0.1023
Ecliptic Z 0.43511280 +/- 0.0013
Ecliptic XDOT 0.00261282 +/- 0.0000
Ecliptic YDOT 0.00093781 +/- 0.0002
Ecliptic ZDOT -0.00088910 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.04951447 +/- 0.0985
Geocenter to KBO 37.15541803 +/- 0.1071
# Hcoef: 9.90
The following table shows the complete astrometric record for 21LF44. 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 (21LF44) followed by the observatory code and reference code for the source of the astrometry.
2021 06 09.44201 19 14 03.390 -21 40 18.14 25.7r 21LF44 266 C~6Ip2 2021 06 09.52601 19 14 02.985 -21 40 19.23 25.7r 21LF44 266 C~6Ip2 2021 06 09.61426 19 14 02.560 -21 40 20.34 25.7r 21LF44 266 C~6Ip2 2021 06 17.43605 19 13 24.005 -21 42 03.76 25.7r 21LF44 266 C~6Ip2 2021 06 17.50053 19 13 23.669 -21 42 04.64 25.7r 21LF44 266 C~6Ip2 2021 06 17.57953 19 13 23.258 -21 42 05.70 25.7r 21LF44 266 C~6Ip2 2021 07 05.35106 19 11 47.505 -21 46 16.69 25.2r 21LF44 266 C~6Ip2 2021 07 05.43951 19 11 47.005 -21 46 17.99 25.2r 21LF44 266 C~6Ip2 2021 07 05.52517 19 11 46.520 -21 46 19.22 25.2r 21LF44 266 C~6Ip2 2021 09 06.23258 19 07 03.697 -21 59 46.92 25.9r 21LF44 266 C~6Ip2 2021 09 06.31281 19 07 03.502 -21 59 47.67 25.9r 21LF44 266 C~6Ip2 2021 09 06.39352 19 07 03.308 -21 59 48.41 25.9r 21LF44 266 C~6Ip2
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 -5.74 0.01 -0.37 -0.00
3 0.0005 -11.76 0.01 -0.72 0.00
4 0.0219 -557.89 -0.02 -35.73 -0.03
5 0.0221 -562.64 -0.02 -36.01 -0.03
6 0.0223 -568.46 -0.00 -36.35 -0.03
7 0.0709 -1923.51 0.00 -120.01 0.04
8 0.0712 -1930.58 0.01 -120.44 0.04
9 0.0714 -1937.44 0.00 -120.83 0.04
10 0.2431 -5943.76 0.00 -455.01 -0.01
11 0.2433 -5946.54 -0.00 -455.44 -0.01
12 0.2435 -5949.31 0.00 -455.87 -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.
21LF44 quality flag:1 Type: SCATEXTD SCATNEAR SCATNEAR axisobj 41.430 46.409 39.456 ecceobj 0.103 0.281 0.082 incobj 17.819 16.883 18.755 qmin 36.679 32.393 31.460 qmax 46.785 62.009 48.383 amean 41.618 46.400 39.424 amin 41.265 45.429 38.828 amax 41.993 47.407 40.127 emean 0.101 0.277 0.128 emin 0.087 0.246 0.050 emax 0.115 0.308 0.207 imean 16.070 15.197 13.640 imin 15.230 13.745 10.250 imax 16.841 16.498 17.316 excite_mean 0.295 0.382 0.271 fracstop 1.000 1.000 1.000 cjmean 2.971 2.951 2.965 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 186.3 178.3 172.8 kozaiamp 179.9 179.9 179.9