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: 04MU8 # Created Tue Apr 1 01:08:38 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 53 observations of 53 # Arc: 19.14y # First observation: 2004/06/24 # Last observation: 2023/08/14 # Chi-squared of fit: 21.49 DOF: 100 RMS: 0.11 # Min/Max residuals: -0.40 0.29 # Exact a, adot, b, bdot, g, gdot: 1.268357E-05 1.843783E-02 -9.834021E-07 -1.152819E-03 2.119094E-02 -5.090580E-04 # Covariance matrix: 1.0127E-13 -1.7407E-14 -1.1035E-15 7.7538E-16 -3.1373E-15 -3.4731E-14 -1.7407E-14 9.7533E-15 8.2710E-16 -5.8424E-16 9.6920E-15 2.6125E-14 -1.1035E-15 8.2710E-16 8.4132E-14 -5.2443E-15 7.2945E-16 2.3311E-15 7.7538E-16 -5.8424E-16 -5.2443E-15 4.9965E-16 -5.4936E-16 -1.6453E-15 -3.1373E-15 9.6920E-15 7.2945E-16 -5.4936E-16 9.0109E-14 2.4068E-14 -3.4731E-14 2.6125E-14 2.3311E-15 -1.6453E-15 2.4068E-14 7.3589E-14 # lat0 lon0 xBary yBary zBary JD0 -0.012186 -69.711699 0.295174 -0.000160 -0.974680 2453180.971063 # Heliocentric elements and errors Epoch: 2453180.5000 = 2004/06/24 Mean Anomaly: 204.21053 +/- 0.019 Argument of Peri: 339.50012 +/- 0.014 Long of Asc Node: 109.74319 +/- 0.000 Inclination: 3.58262 +/- 0.000 Eccentricity: 0.08199765 +/- 0.0000 Semi-Major Axis: 44.76916182 +/- 0.0022 Time of Perihelion: 2500528.5913 +/- 7.2 Perihelion: 41.09819562 +/- 0.0025 Aphelion: 48.44012802 +/- 0.0028 Period (y) 299.5551 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 16.42050994 +/- 0.0002 Ecliptic Y -45.27700429 +/- 0.0006 Ecliptic Z -0.01004617 +/- 0.0000 Ecliptic XDOT 0.00220918 +/- 0.0000 Ecliptic YDOT 0.00088073 +/- 0.0000 Ecliptic ZDOT -0.00014881 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 48.16266523 +/- 0.0006 Geocenter to KBO 47.19002664 +/- 0.0007 # Hcoef: 5.88
The following table shows the complete astrometric record for 04MU8. 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 (04MU8) followed by the observatory code and reference code for the source of the astrometry.
2004 06 24.47032 19 27 47.48 -21 55 08.1 04MU8 568 C~0VDq 2004 06 25.46658 19 27 43.21 -21 55 17.7 23.2g 04MU8 568 C~0VDq 2004 06 25.48954 19 27 43.11 -21 55 17.9 23.1g 04MU8 568 C~0VDq 2004 06 25.50807 19 27 43.03 -21 55 18.2 22.9g 04MU8 568 C~0VDq 2004 07 22.44048 19 25 42.83 -21 59 44.2 23.1g 04MU8 568 C~0VDq 2004 07 22.46878 19 25 42.70 -21 59 44.4 23.6g 04MU8 568 C~0VDq 2004 07 22.49234 19 25 42.60 -21 59 44.6 23.5g 04MU8 568 C~0VDq 2004 07 23.39346 19 25 38.62 -21 59 53.4 04MU8 568 C~0VDq 2004 09 09.29657 19 22 53.13 -22 05 56.4 04MU8 568 C~0VDq 2004 09 09.34366 19 22 53.04 -22 05 56.6 22.5i 04MU8 568 C~0VDq 2005 06 12.49306 19 33 09.12 -21 47 27.0 22.5R 04MU8 568 C~0VDq 2005 06 12.51881 19 33 09.02 -21 47 27.1 22.3R 04MU8 568 C~0VDq 2005 06 12.54480 19 33 08.92 -21 47 27.3 22.5R 04MU8 568 C~0VDq 2005 06 13.49826 19 33 05.30 -21 47 36.3 04MU8 568 C~0VDq 2007 05 16.40857 19 43 32.06 -21 30 48.4 04MU8 675 C~0VDq 2007 05 16.44170 19 43 31.98 -21 30 48.4 22.0r 04MU8 695 C~0VDq 2007 05 16.44319 19 43 32.00 -21 30 48.5 04MU8 675 C~0VDq 2007 05 17.45088 19 43 30.03 -21 30 54.3 22.0r 04MU8 695 C~0VDq 2013 06 08.15701 20 09 38.30 -20 43 10.8 22.5R 04MU8 304 C~0snl 2013 06 08.25556 20 09 38.01 -20 43 11.9 04MU8 304 C~0snl 2013 06 09.16441 20 09 35.24 -20 43 21.5 04MU8 304 C~0snl 2013 06 09.29161 20 09 34.84 -20 43 22.9 04MU8 304 C~0snl 2013 06 09.36137 20 09 34.62 -20 43 23.6 04MU8 304 C~0snl 2019 08 28.99414 20 31 19.32 -19 56 42.4 22.9V 04MU8 W84 C~3GKh 2019 08 28.99781 20 31 19.31 -19 56 42.4 04MU8 W84 C~3GKh 2019 08 29.00640 20 31 19.28 -19 56 42.4 04MU8 W84 C~3GKh 2019 08 29.03390 20 31 19.17 -19 56 42.8 04MU8 W84 C~3GKh 2019 08 29.03732 20 31 19.16 -19 56 42.9 04MU8 W84 C~3GKh 2019 08 29.04590 20 31 19.13 -19 56 43.0 04MU8 W84 C~3GKh 2019 08 29.07678 20 31 19.01 -19 56 43.4 04MU8 W84 C~3GKh 2019 08 29.11310 20 31 18.87 -19 56 43.8 04MU8 W84 C~3GKh 2019 08 29.11654 20 31 18.86 -19 56 43.9 04MU8 W84 C~3GKh 2019 08 29.12514 20 31 18.83 -19 56 44.0 04MU8 W84 C~3GKh 2019 08 29.15634 20 31 18.71 -19 56 44.4 04MU8 W84 C~3GKh 2021 07 09.312590 20 43 55.725 -19 17 48.80 22.8G 04MU8 G37 C~4unz 2021 07 09.359280 20 43 55.520 -19 17 49.47 04MU8 G37 C~4unz 2022 05 29.34326 20 50 27.413 -18 55 11.52 22.9r 04MU8 269 C~8iQU 2022 05 29.34561 20 50 27.421 -18 55 11.66 23.3g 04MU8 269 C~8iQU 2022 05 29.34881 20 50 27.405 -18 55 11.60 22.0z 04MU8 269 C~8iQU 2022 05 29.35175 20 50 27.397 -18 55 11.57 22.0z 04MU8 269 C~8iQU 2022 05 29.35463 20 50 27.395 -18 55 11.61 22.0z 04MU8 269 C~8iQU 2022 05 29.35886 20 50 27.401 -18 55 11.78 23.5g 04MU8 269 C~8iQU 2022 05 29.36225 20 50 27.396 -18 55 11.81 22.7r 04MU8 269 C~8iQU 2022 06 29.25401 20 49 06.332 -19 01 28.48 22.6r 04MU8 269 C~8iQU 2022 06 29.25643 20 49 06.324 -19 01 28.53 23.7g 04MU8 269 C~8iQU 2022 06 29.25943 20 49 06.311 -19 01 28.56 22.2z 04MU8 269 C~8iQU 2022 06 29.26228 20 49 06.302 -19 01 28.66 22.0z 04MU8 269 C~8iQU 2022 06 29.26520 20 49 06.291 -19 01 28.68 22.0z 04MU8 269 C~8iQU 2022 06 29.26863 20 49 06.277 -19 01 28.76 23.5g 04MU8 269 C~8iQU 2022 06 29.27119 20 49 06.271 -19 01 28.77 22.7r 04MU8 269 C~8iQU 2023 08 14.214680 20 50 28.131 -19 00 48.48 22.6G 04MU8 G37 C~77jx 2023 08 14.262930 20 50 27.930 -19 00 49.35 04MU8 G37 C~77jx 2023 08 14.310620 20 50 27.716 -19 00 50.14 04MU8 G37 C~77jx
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 0.23 0.00 0.06
2 0.0027 0.00 0.27 0.00 0.06
3 0.0028 0.00 0.28 0.00 0.08
4 0.0028 0.00 0.29 0.00 -0.04
5 0.0766 0.00 -0.02 0.00 0.06
6 0.0767 0.00 -0.06 0.00 0.13
7 0.0767 0.00 0.04 0.00 0.15
8 0.0792 0.00 0.07 0.00 0.10
9 0.2103 0.00 -0.40 0.00 -0.02
10 0.2105 0.00 -0.28 0.00 -0.01
11 0.9665 0.00 -0.14 0.00 -0.03
12 0.9666 0.00 -0.15 0.00 0.11
13 0.9667 0.00 -0.14 0.00 0.14
14 0.9693 0.00 -0.09 0.00 -0.14
15 2.8910 0.00 0.13 0.00 -0.22
16 2.8911 0.00 -0.08 0.00 -0.04
17 2.8911 0.00 0.25 0.00 -0.13
18 2.8939 0.00 -0.04 0.00 -0.24
19 8.9547 0.00 -0.27 0.00 -0.00
20 8.9549 0.00 -0.07 0.00 -0.05
21 8.9574 0.00 -0.02 0.00 -0.07
22 8.9578 0.00 -0.01 0.00 -0.09
23 8.9579 0.00 -0.00 0.00 -0.05
24 15.1773 0.00 0.01 0.00 -0.10
25 15.1774 0.00 0.06 0.00 -0.05
26 15.1774 0.00 0.10 0.00 0.07
27 15.1775 0.00 0.01 0.00 0.03
28 15.1775 0.00 0.05 0.00 -0.02
29 15.1775 0.00 0.09 0.00 -0.01
30 15.1776 0.00 0.04 0.00 0.00
31 15.1777 0.00 0.00 0.00 0.08
32 15.1777 0.00 0.05 0.00 0.03
33 15.1777 0.00 0.09 0.00 0.04
34 15.1778 0.00 0.06 0.00 0.05
35 17.0400 0.00 0.01 0.00 0.03
36 17.0401 0.00 -0.21 0.00 0.14
37 17.9271 0.00 -0.05 0.00 0.04
38 17.9271 0.00 0.13 0.00 -0.08
39 17.9271 0.00 -0.03 0.00 0.01
40 17.9271 0.00 -0.08 0.00 0.06
41 17.9271 0.00 -0.04 0.00 0.04
42 17.9271 0.00 0.15 0.00 -0.09
43 17.9272 0.00 0.16 0.00 -0.09
44 18.0117 0.00 -0.07 0.00 0.03
45 18.0117 0.00 -0.06 0.00 0.02
46 18.0117 0.00 -0.09 0.00 0.04
47 18.0118 0.00 -0.07 0.00 -0.02
48 18.0118 0.00 -0.08 0.00 0.01
49 18.0118 0.00 -0.10 0.00 -0.02
50 18.0118 0.00 -0.05 0.00 0.01
51 19.1369 0.00 -0.07 0.00 -0.00
52 19.1370 0.00 0.06 0.00 -0.03
53 19.1371 0.00 -0.03 0.00 0.00
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.
04MU8 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.831 44.830 44.831 ecceobj 0.083 0.083 0.083 incobj 3.580 3.580 3.580 qmin 40.176 40.187 40.174 qmax 49.939 49.947 49.949 amean 44.939 44.939 44.939 amin 44.580 44.578 44.581 amax 45.324 45.324 45.324 emean 0.087 0.087 0.087 emin 0.073 0.073 0.073 emax 0.102 0.102 0.102 imean 2.095 2.095 2.095 imin 1.526 1.526 1.526 imax 2.706 2.706 2.706 excite_mean 0.094 0.094 0.094 fracstop 1.000 1.000 1.000 cjmean 3.102 3.102 3.102 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 170.0 170.0 170.0 kozaiamp 179.9 180.0 180.0