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: 24RA22
# Created Sun Nov 24 02:11:17 2024
# Orbit generated from Bernstein formalism
# Fitting 29 observations of 29
# Arc: 1.97y
# First observation: 2022/09/22
# Last observation: 2024/09/11
Preliminary a, adot, b, bdot, g, gdot:
0.000139 0.069655 -0.000060 0.034679 0.048124 0.000000
# Chi-squared of fit: 7.40 DOF: 52 RMS: 0.09
# Min/Max residuals: -0.24 0.26
# Exact a, adot, b, bdot, g, gdot:
2.265526E-05 6.537976E-02 1.099863E-05 3.257603E-02 4.646498E-02 -2.606630E-02
# Covariance matrix:
1.9606E-13 1.8123E-12 -2.1031E-14 9.3172E-13 9.7059E-13 1.3799E-11
1.8123E-12 6.5076E-11 -7.3391E-13 3.1731E-11 2.9151E-11 4.6949E-10
-2.1031E-14 -7.3391E-13 1.3512E-13 -4.2423E-13 -3.2756E-13 -5.2966E-12
9.3172E-13 3.1731E-11 -4.2423E-13 1.5555E-11 1.4355E-11 2.2935E-10
9.7059E-13 2.9151E-11 -3.2756E-13 1.4355E-11 1.4172E-11 2.1250E-10
1.3799E-11 4.6949E-10 -5.2966E-12 2.2935E-10 2.1250E-10 3.3936E-09
# lat0 lon0 xBary yBary zBary JD0
2.358613 -29.317061 -0.473355 0.035792 -0.874180 2459844.888050
# Heliocentric elements and errors
Epoch: 2459840.5000 = 2022/09/18
Mean Anomaly: 351.04853 +/- 0.029
Argument of Peri: 53.55266 +/- 0.069
Long of Asc Node: 327.30555 +/- 0.000
Inclination: 26.26367 +/- 0.000
Eccentricity: 0.64152272 +/- 0.0009
Semi-Major Axis: 54.29342270 +/- 0.1134
Time of Perihelion: 2463473.8806 +/- 3.1
Perihelion: 19.46295854 +/- 0.0641
Aphelion: 89.12388685 +/- 0.1927
Period (y) 400.0636 +/- 1.25
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 19.75322500 +/- 0.0015
Ecliptic Y -10.54518648 +/- 0.0009
Ecliptic Z 0.88594475 +/- 0.0001
Ecliptic XDOT 0.00047964 +/- 0.0000
Ecliptic YDOT 0.00415814 +/- 0.0000
Ecliptic ZDOT 0.00185456 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 22.40927830 +/- 0.0014
Geocenter to KBO 21.52158342 +/- 0.0017
# Hcoef: 8.83
The following table shows the complete astrometric record for 24RA22. 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 (24RA22) followed by the observatory code and reference code for the source of the astrometry.
2022 09 22.387249 22 07 35.288 -09 01 25.83 22.0G 24RA22 F51 C~8Hhy 2022 09 22.399408 22 07 35.209 -09 01 26.06 21.9G 24RA22 F51 C~8Hhy 2022 09 22.411390 22 07 35.123 -09 01 26.30 22.6G 24RA22 F51 C~8Hhy 2022 09 22.423597 22 07 35.030 -09 01 26.80 22.4G 24RA22 F51 C~8Hhy 2022 09 27.354862 22 07 01.328 -09 03 15.97 22.6G 24RA22 F51 C~8Hhy 2022 09 27.367941 22 07 01.249 -09 03 16.06 22.4G 24RA22 F51 C~8Hhy 2022 09 27.381028 22 07 01.144 -09 03 16.37 22.1G 24RA22 F51 C~8Hhy 2022 09 27.394111 22 07 01.070 -09 03 16.81 22.2G 24RA22 F51 C~8Hhy 2022 10 17.240245 22 05 14.443 -09 08 20.57 21.9G 24RA22 F51 C~8Hhy 2022 10 17.252673 22 05 14.400 -09 08 20.70 22.0G 24RA22 F51 C~8Hhy 2022 10 17.265114 22 05 14.334 -09 08 20.82 22.3G 24RA22 F51 C~8Hhy 2022 10 17.277546 22 05 14.294 -09 08 20.92 22.3G 24RA22 F51 C~8Hhy 2024 07 31.509417 22 38 43.589 -02 09 09.46 22.3G 24RA22 F52 C~8Hhy 2024 07 31.522742 22 38 43.479 -02 09 09.71 22.9G 24RA22 F52 C~8Hhy 2024 07 31.536015 22 38 43.383 -02 09 09.75 22.3G 24RA22 F52 C~8Hhy 2024 07 31.549255 22 38 43.316 -02 09 10.10 23.2G 24RA22 F52 C~8Hhy 2024 08 27.414396 22 35 07.435 -02 18 44.03 21.4G 24RA22 F52 C~8Hhy 2024 08 27.426310 22 35 07.335 -02 18 44.47 21.1G 24RA22 F52 C~8Hhy 2024 08 27.438246 22 35 07.231 -02 18 44.74 21.2G 24RA22 F52 C~8Hhy 2024 08 27.450150 22 35 07.126 -02 18 45.16 21.6G 24RA22 F52 C~8Hhy 2024 08 27.524768 22 35 06.470 -02 18 47.31 21.6G 24RA22 F51 C~8Hhy 2024 09 05.407311 22 33 50.222 -02 23 16.16 22.0G 24RA22 F51 C~8Hhy 2024 09 05.420680 22 33 50.114 -02 23 16.71 21.5G 24RA22 F51 C~8Hhy 2024 09 05.434018 22 33 50.004 -02 23 17.19 22.0G 24RA22 F51 C~8Hhy 2024 09 11.353799 22 32 59.916 -02 26 26.58 22.0w 24RA22 F52 C~8Hhy 2024 09 11.365750 22 32 59.814 -02 26 26.96 22.1w 24RA22 F52 C~8Hhy 2024 09 11.377645 22 32 59.714 -02 26 27.39 22.0w 24RA22 F52 C~8Hhy 2024 09 11.389564 22 32 59.613 -02 26 27.79 21.9w 24RA22 F52 C~8Hhy 2024 09 11.511053 22 32 58.573 -02 26 31.72 22.0G 24RA22 F52 C~8Hhy
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 -0.08 0.00 0.02
2 0.0000 -1.18 0.06 0.20 0.02
3 0.0001 -2.45 0.08 0.42 0.05
4 0.0001 -3.92 -0.06 0.43 -0.13
5 0.0136 -509.73 -0.06 73.44 -0.13
6 0.0136 -510.85 0.13 73.77 -0.00
7 0.0137 -512.42 -0.11 74.03 0.05
8 0.0137 -513.60 0.02 74.00 -0.18
9 0.0680 -2099.32 -0.02 342.62 0.11
10 0.0681 -2099.96 0.09 342.72 0.05
11 0.0681 -2100.92 -0.10 342.95 0.11
12 0.0681 -2101.51 0.06 343.06 0.06
13 1.8566 35276.12 0.07 13237.51 0.00
14 1.8566 35274.45 -0.15 13237.88 -0.01
15 1.8567 35273.05 -0.09 13238.36 0.10
16 1.8567 35271.96 0.26 13238.40 -0.24
17 1.9303 31959.40 -0.06 13871.79 0.11
18 1.9303 31957.80 -0.04 13871.92 -0.01
19 1.9303 31956.21 -0.00 13872.23 0.06
20 1.9304 31954.55 -0.04 13872.40 -0.01
21 1.9306 31944.36 -0.10 13873.94 0.01
22 1.9549 30753.14 -0.06 14033.68 0.07
23 1.9549 30751.39 0.02 14033.75 -0.10
24 1.9550 30749.64 0.08 14033.89 -0.19
25 1.9712 29963.36 0.03 14126.41 0.06
26 1.9712 29961.76 0.03 14126.61 0.07
27 1.9712 29960.18 0.04 14126.74 0.02
28 1.9713 29958.58 0.04 14126.91 0.00
29 1.9716 29942.27 -0.04 14128.83 0.04
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.