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: 24OR4 # Created Sun Nov 24 02:11:16 2024 # Orbit generated from Bernstein formalism # Fitting 36 observations of 36 # Arc: 110.72d # First observation: 2024/06/15 # Last observation: 2024/10/04 Preliminary a, adot, b, bdot, g, gdot: -0.000111 0.103361 -0.000014 -0.028749 0.058788 0.000000 # Chi-squared of fit: 21.89 DOF: 66 RMS: 0.14 # Min/Max residuals: -0.35 0.44 # Exact a, adot, b, bdot, g, gdot: 2.717316E-05 1.000917E-01 -7.528372E-06 -2.838187E-02 5.764206E-02 -1.296396E-02 # Covariance matrix: 1.7729E-13 -4.6096E-12 2.9753E-14 -1.2220E-13 -4.8042E-13 2.2909E-11 -4.6096E-12 7.9684E-10 -5.7606E-12 -1.4690E-11 1.5286E-10 8.6725E-10 2.9753E-14 -5.7606E-12 1.4121E-13 -3.5848E-13 -1.1120E-12 -6.4631E-12 -1.2220E-13 -1.4690E-11 -3.5848E-13 4.6137E-12 -3.9549E-12 -1.1305E-10 -4.8042E-13 1.5286E-10 -1.1120E-12 -3.9549E-12 3.1253E-11 3.2217E-10 2.2909E-11 8.6725E-10 -6.4631E-12 -1.1305E-10 3.2217E-10 1.4326E-08 # lat0 lon0 xBary yBary zBary JD0 11.757257 -39.129127 0.852576 0.113986 -0.549056 2460477.038429 # Heliocentric elements and errors Epoch: 2460470.5000 = 2024/06/09 Mean Anomaly: 352.15170 +/- 0.045 Argument of Peri: 171.35273 +/- 0.175 Long of Asc Node: 173.68765 +/- 0.008 Inclination: 19.07968 +/- 0.004 Eccentricity: 0.52307455 +/- 0.0008 Semi-Major Axis: 36.01474958 +/- 0.0407 Time of Perihelion: 2462191.5454 +/- 9.3 Perihelion: 17.17635061 +/- 0.0334 Aphelion: 54.85314856 +/- 0.0677 Period (y) 216.1368 +/- 0.37 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 13.07962237 +/- 0.0013 Ecliptic Y -11.72931632 +/- 0.0010 Ecliptic Z 3.53497482 +/- 0.0003 Ecliptic XDOT 0.00273951 +/- 0.0000 Ecliptic YDOT 0.00390063 +/- 0.0000 Ecliptic ZDOT -0.00144517 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 17.92064256 +/- 0.0012 Geocenter to KBO 17.34844166 +/- 0.0017 # Hcoef: 8.58
The following table shows the complete astrometric record for 24OR4. 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 (24OR4) followed by the observatory code and reference code for the source of the astrometry.
2024 06 15.537628 21 18 07.654 -03 22 16.88 21.1G 24OR4 F52 C~8AlF 2024 06 15.550239 21 18 07.600 -03 22 16.88 21.1G 24OR4 F52 C~8AlF 2024 06 15.562889 21 18 07.551 -03 22 16.93 20.8G 24OR4 F52 C~8AlF 2024 06 15.575564 21 18 07.503 -03 22 16.88 21.1G 24OR4 F52 C~8AlG 2024 06 20.557817 21 17 46.239 -03 22 29.85 20.9G 24OR4 F52 C~8AlG 2024 06 20.570498 21 17 46.156 -03 22 29.87 22.1G 24OR4 F52 C~8AlG 2024 06 20.583163 21 17 46.095 -03 22 29.57 21.6G 24OR4 F52 C~8AlG 2024 06 28.572431 21 17 03.443 -03 23 55.07 21.0G 24OR4 F51 C~8AlG 2024 06 28.581536 21 17 03.383 -03 23 55.23 21.0G 24OR4 F51 C~8AlG 2024 06 28.590616 21 17 03.327 -03 23 55.37 21.1G 24OR4 F51 C~8AlG 2024 06 28.599904 21 17 03.269 -03 23 55.62 21.1G 24OR4 F51 C~8AlG 2024 07 03.525020 21 16 32.127 -03 25 27.49 21.1G 24OR4 F51 C~8AlG 2024 07 03.536473 21 16 32.047 -03 25 27.78 21.0G 24OR4 F51 C~8AlG 2024 07 03.547881 21 16 31.975 -03 25 28.05 21.2G 24OR4 F51 C~8AlG 2024 07 03.559290 21 16 31.894 -03 25 28.26 21.0G 24OR4 F51 C~8AlG 2024 07 26.451338 21 13 30.454 -03 38 48.21 21.9G 24OR4 F51 C~8AlG 2024 07 26.458658 21 13 30.403 -03 38 48.49 21.0G 24OR4 F51 C~8AlG 2024 07 30.66277 21 12 52.71 -03 42 15.2 20.9R 24OR4 D29 C~8AlG 2024 07 30.68314 21 12 52.53 -03 42 16.2 21.4R 24OR4 D29 C~8AlG 2024 07 30.70634 21 12 52.28 -03 42 17.5 21.0R 24OR4 D29 C~8AlG 2024 07 31.34989 21 12 46.50 -03 42 50.7 20.2G 24OR4 673 C~8AlG 2024 07 31.37821 21 12 46.20 -03 42 52.0 24OR4 673 C~8AlG 2024 08 03.224735 21 12 20.25 -03 45 23.4 20.9G 24OR4 H21 C~8AlG 2024 08 03.230426 21 12 20.18 -03 45 24.0 20.9G 24OR4 H21 C~8AlG 2024 08 03.233559 21 12 20.16 -03 45 24.2 21.0G 24OR4 H21 C~8AlG 2024 09 09.300605 21 07 01.323 -04 25 43.26 21.0w 24OR4 F52 C~8Dt6 2024 09 09.313867 21 07 01.225 -04 25 44.25 21.0w 24OR4 F52 C~8Dt6 2024 09 09.327137 21 07 01.131 -04 25 45.18 20.9w 24OR4 F52 C~8Dt6 2024 09 09.340407 21 07 01.030 -04 25 46.12 21.0w 24OR4 F52 C~8Dt6 2024 09 23.328975 21 05 35.628 -04 42 11.50 21.1w 24OR4 F52 C~8HfH 2024 09 23.341682 21 05 35.579 -04 42 12.35 21.0w 24OR4 F52 C~8HfH 2024 09 23.354387 21 05 35.507 -04 42 13.36 21.2w 24OR4 F52 C~8HfH 2024 10 04.222446 21 04 51.709 -04 54 20.94 21.0w 24OR4 F52 C~8HfH 2024 10 04.235772 21 04 51.663 -04 54 21.77 21.1w 24OR4 F52 C~8HfH 2024 10 04.249118 21 04 51.613 -04 54 22.71 21.2w 24OR4 F52 C~8HfH 2024 10 04.262477 21 04 51.571 -04 54 23.73 21.0w 24OR4 F52 C~8HfH
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 0.06 0.00 -0.05
2 0.0000 -0.77 0.01 0.25 -0.04
3 0.0001 -1.48 0.02 0.43 -0.11
4 0.0001 -2.15 0.08 0.70 -0.08
5 0.0137 -308.98 0.00 86.77 -0.07
6 0.0138 -310.17 -0.28 87.14 0.07
7 0.0138 -310.94 -0.15 87.70 0.42
8 0.0357 -944.79 0.11 203.69 0.01
9 0.0357 -945.69 0.05 203.81 0.01
10 0.0357 -946.53 0.05 203.94 0.01
11 0.0358 -947.43 0.01 203.97 -0.09
12 0.0492 -1419.33 0.01 260.57 0.01
13 0.0493 -1420.56 -0.02 260.66 -0.02
14 0.0493 -1421.67 0.07 260.74 -0.08
15 0.0493 -1422.89 0.04 260.92 -0.03
16 0.1120 -4254.20 -0.24 337.51 -0.01
17 0.1120 -4255.01 0.00 337.47 -0.02
18 0.1235 -4855.77 0.08 314.50 0.17
19 0.1236 -4858.64 0.21 314.38 0.18
20 0.1237 -4862.60 -0.33 314.29 0.23
21 0.1254 -4955.19 0.44 309.33 -0.07
22 0.1255 -4959.87 -0.04 309.48 0.26
23 0.1333 -5376.29 0.13 284.92 -0.08
24 0.1333 -5377.47 -0.20 284.68 -0.27
25 0.1333 -5377.82 -0.08 284.58 -0.35
26 0.2348 -10668.57 -0.02 -554.99 0.03
27 0.2348 -10670.27 -0.05 -555.49 -0.01
28 0.2349 -10671.90 -0.00 -555.94 -0.01
29 0.2349 -10673.63 -0.06 -556.38 0.01
30 0.2732 -12195.44 -0.06 -1105.24 0.01
31 0.2732 -12196.40 0.20 -1105.83 -0.04
32 0.2733 -12197.74 0.07 -1106.46 -0.14
33 0.3030 -13046.55 0.08 -1600.57 0.06
34 0.3031 -13047.46 0.04 -1601.15 0.11
35 0.3031 -13048.46 -0.09 -1601.82 0.07
36 0.3031 -13049.37 -0.13 -1602.60 -0.09
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.