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: 23UJ31 # Created Tue Apr 1 01:11:33 2025 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 27.04d # First observation: 2023/10/23 # Last observation: 2023/11/19 Preliminary a, adot, b, bdot, g, gdot: -0.000013 0.175504 0.000010 0.091212 0.082147 0.000000 # Chi-squared of fit: 37.74 DOF: 20 RMS: 0.30 # Min/Max residuals: -0.43 1.24 # Exact a, adot, b, bdot, g, gdot: 2.965654E-05 1.489211E-01 1.852286E-05 9.152823E-02 7.796220E-02 -2.250218E-02 # Covariance matrix: 5.9492E-13 5.4664E-10 9.4082E-14 -2.2159E-12 8.9573E-11 2.5883E-10 5.4664E-10 2.2620E-06 5.3485E-10 -2.4244E-08 3.5734E-07 -1.2383E-06 9.4082E-14 5.3485E-10 4.5837E-13 -1.3311E-11 8.3921E-11 -4.4289E-10 -2.2159E-12 -2.4244E-08 -1.3311E-11 5.6749E-10 -3.7717E-09 2.8444E-08 8.9573E-11 3.5734E-07 8.3921E-11 -3.7717E-09 5.6489E-08 -1.8678E-07 2.5883E-10 -1.2383E-06 -4.4289E-10 2.8444E-08 -1.8678E-07 2.9723E-06 # lat0 lon0 xBary yBary zBary JD0 -5.397584 38.649590 0.157383 -0.091820 -0.969721 2460240.862347 # Heliocentric elements and errors Epoch: 2460240.5000 = 2023/10/23 Mean Anomaly: 358.78599 +/- 0.126 Argument of Peri: 7.83468 +/- 1.085 Long of Asc Node: 46.07730 +/- 0.078 Inclination: 31.91765 +/- 0.256 Eccentricity: 0.79553906 +/- 0.0126 Semi-Major Axis: 66.16130223 +/- 3.7972 Time of Perihelion: 2460903.3639 +/- 38.6 Perihelion: 13.52740212 +/- 1.1413 Aphelion: 118.79520235 +/- 6.8691 Period (y) 538.1635 +/- 46.33 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 10.84008472 +/- 0.0304 Ecliptic Y 8.46363091 +/- 0.0243 Ecliptic Z -1.20634456 +/- 0.0037 Ecliptic XDOT -0.00364881 +/- 0.0001 Ecliptic YDOT 0.00378951 +/- 0.0000 Ecliptic ZDOT 0.00327437 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 13.80564204 +/- 0.0281 Geocenter to KBO 12.82672808 +/- 0.0391 # Hcoef: 10.70
The following table shows the complete astrometric record for 23UJ31. 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 (23UJ31) followed by the observatory code and reference code for the source of the astrometry.
2023 10 23.361546 02 32 04.746 +09 15 59.71 21.9w 23UJ31 F51 C~7XUL 2023 10 23.377530 02 32 04.517 +09 15 59.43 22.2w 23UJ31 F51 C~7XUL 2023 10 23.385574 02 32 04.415 +09 15 59.36 21.7w 23UJ31 F51 C~7XUL 2023 11 01.35895 02 30 03.62 +09 13 57.7 22.0R 23UJ31 291 C~7XUL 2023 11 01.39497 02 30 03.11 +09 13 57.1 21.3R 23UJ31 291 C~7XUL 2023 11 02.38534 02 29 49.68 +09 13 45.1 21.4R 23UJ31 291 C~7XUL 2023 11 02.45240 02 29 48.75 +09 13 44.6 21.8R 23UJ31 291 C~7XUL 2023 11 06.056354 02 28 59.85 +09 13 05.7 23UJ31 X09 C~7XUL 2023 11 06.164560 02 28 58.29 +09 13 05.9 23UJ31 X09 C~7XUL 2023 11 08.422038 02 28 27.800 +09 12 42.91 21.4G 23UJ31 F52 C~7XUL 2023 11 08.422678 02 28 27.780 +09 12 42.73 21.6G 23UJ31 F52 C~7XUL 2023 11 19.400453 02 26 03.053 +09 11 48.10 22.6G 23UJ31 F51 C~7XUL 2023 11 19.401266 02 26 03.051 +09 11 47.75 22.4G 23UJ31 F51 C~7XUL
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 0.11 0.00 0.01
2 0.0000 -3.31 -0.09 0.80 0.02
3 0.0001 -4.76 0.01 1.21 0.03
4 0.0246 -1740.24 0.00 449.89 0.01
5 0.0247 -1747.60 -0.22 451.71 -0.08
6 0.0274 -1940.05 0.11 503.20 -0.36
7 0.0276 -1953.27 0.12 507.08 -0.03
8 0.0375 -2652.46 0.13 699.39 -0.27
9 0.0378 -2674.31 -0.43 706.90 1.24
10 0.0440 -3109.86 0.25 828.23 -0.24
11 0.0440 -3110.19 0.04 828.15 -0.35
12 0.0740 -5160.21 -0.02 1458.01 0.20
13 0.0740 -5160.35 -0.01 1457.69 -0.17
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.
23UJ31 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0