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: 07FM51 # Created Sun Dec 22 02:08:59 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 36 observations of 36 # Arc: 17.81y # First observation: 2004/05/12 # Last observation: 2022/03/02 # Chi-squared of fit: 67.61 DOF: 66 RMS: 0.24 # Min/Max residuals: -0.53 0.78 # Exact a, adot, b, bdot, g, gdot: 1.485580E-05 2.246186E-02 6.784839E-06 7.767850E-03 2.384870E-02 2.911654E-03 # Covariance matrix: 2.9555E-13 -7.6411E-14 6.3815E-14 -2.3177E-14 -3.8480E-14 -1.5371E-13 -7.6411E-14 3.1549E-14 -2.5578E-14 1.0530E-14 -1.2016E-14 6.6342E-14 6.3815E-14 -2.5578E-14 1.2825E-13 -1.8426E-14 -6.2206E-16 -5.7472E-14 -2.3177E-14 1.0530E-14 -1.8426E-14 5.1941E-15 -4.6360E-15 2.3210E-14 -3.8480E-14 -1.2016E-14 -6.2206E-16 -4.6360E-15 1.0799E-13 -1.7057E-14 -1.5371E-13 6.6342E-14 -5.7472E-14 2.3210E-14 -1.7057E-14 1.4735E-13 # lat0 lon0 xBary yBary zBary JD0 23.091044 154.435790 -0.985804 0.085283 -0.199922 2453137.715985 # Heliocentric elements and errors Epoch: 2453138.5000 = 2004/05/13 Mean Anomaly: 51.91548 +/- 0.011 Argument of Peri: 344.55864 +/- 0.015 Long of Asc Node: 106.56228 +/- 0.000 Inclination: 29.19362 +/- 0.000 Eccentricity: 0.16381487 +/- 0.0000 Semi-Major Axis: 45.90111933 +/- 0.0032 Time of Perihelion: 2436757.9789 +/- 4.0 Perihelion: 38.38183336 +/- 0.0031 Aphelion: 53.42040529 +/- 0.0041 Period (y) 310.9876 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -35.42107564 +/- 0.0005 Ecliptic Y 15.85035482 +/- 0.0002 Ecliptic Z 16.44536352 +/- 0.0002 Ecliptic XDOT -0.00107743 +/- 0.0000 Ecliptic YDOT -0.00235139 +/- 0.0000 Ecliptic ZDOT 0.00095153 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.14651043 +/- 0.0004 Geocenter to KBO 41.93098155 +/- 0.0006 # Hcoef: 6.58
The following table shows the complete astrometric record for 07FM51. 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 (07FM51) followed by the observatory code and reference code for the source of the astrometry.
2004 05 12.215242 11 03 39.89 +31 10 47.9 22.4V 07FM51 645 C~2KuA 2004 05 12.216071 11 03 39.89 +31 10 47.9 22.7V 07FM51 645 C~2KuA 2004 05 12.218559 11 03 39.89 +31 10 47.9 23.5V 07FM51 645 C~2KuA 2007 03 21.40321 11 25 42.58 +30 41 09.1 22.8r 07FM51 568 C~1Q3X 2007 03 21.44451 11 25 42.38 +30 41 10.0 23.3r 07FM51 568 C~1Q3X 2007 03 21.48567 11 25 42.17 +30 41 11.0 22.9r 07FM51 568 C~1Q3X 2007 04 14.41098 11 23 52.20 +30 46 00.5 07FM51 568 C~1Q3X 2007 04 14.42434 11 23 52.15 +30 46 00.5 07FM51 568 C~1Q3X 2007 04 14.43749 11 23 52.09 +30 46 00.6 07FM51 568 C~1Q3X 2007 05 15.24253 11 22 22.21 +30 40 44.6 22.4r 07FM51 695 C~1Q3X 2007 05 16.17229 11 22 20.79 +30 40 23.0 07FM51 675 C~1Q3X 2007 05 16.22281 11 22 20.71 +30 40 22.0 07FM51 675 C~1Q3Y 2007 05 16.23265 11 22 20.64 +30 40 21.9 22.5r 07FM51 695 C~1Q3Y 2007 05 16.31195 11 22 20.53 +30 40 20.1 22.3r 07FM51 695 C~1Q3Y 2008 03 04.54328 11 33 15.08 +30 21 02.8 22.9r 07FM51 568 C~1Q3Y 2008 03 04.55929 11 33 15.00 +30 21 03.5 22.8r 07FM51 568 C~1Q3Y 2008 03 04.57523 11 33 14.90 +30 21 04.0 22.7r 07FM51 568 C~1Q3Y 2008 04 04.35277 11 30 43.23 +30 32 49.3 23.1r 07FM51 568 C~1Q3Y 2008 04 05.29325 11 30 38.94 +30 32 59.1 23.4r 07FM51 568 C~1Q3Y 2008 05 03.24341 11 28 54.72 +30 32 17.5 07FM51 695 C~1Q3Y 2008 05 04.21541 11 28 52.09 +30 32 04.6 07FM51 695 C~1Q3Y 2008 12 06.45444 11 42 24.81 +29 05 13.2 22.8R 07FM51 675 C~1Q3Y 2008 12 06.45764 11 42 24.80 +29 05 13.2 22.6R 07FM51 675 C~1Q3Y 2008 12 06.53350 11 42 24.95 +29 05 15.6 22.1R 07FM51 675 C~1Q3Y 2008 12 21.44292 11 42 43.48 +29 13 54.8 07FM51 695 C~1Q3Y 2008 12 21.52462 11 42 43.51 +29 13 57.9 07FM51 695 C~1Q3Y 2008 12 22.48410 11 42 43.92 +29 14 35.5 07FM51 695 C~1Q3Y 2015 04 24.20655 12 10 36.13 +28 44 14.3 23.1R 07FM51 G37 C~1ReN 2015 04 24.37157 12 10 35.45 +28 44 14.2 07FM51 G37 C~1ReN 2019 02 08.448200 12 37 53.447 +26 46 11.09 23.0G 07FM51 G37 C~2zmc 2019 02 08.511630 12 37 53.304 +26 46 13.61 07FM51 G37 C~2zmc 2019 03 07.199300 12 36 18.87 +27 05 47.1 23.0G 07FM51 705 C~31GW 2019 03 07.254020 12 36 18.63 +27 05 49.6 22.8G 07FM51 705 C~31GW 2022 03 02.423980 12 52 18.002 +25 55 19.67 23.3G 07FM51 G37 C~5Ro1 2022 03 02.464990 12 52 17.827 +25 55 21.48 07FM51 G37 C~5Ro1 2022 03 02.504940 12 52 17.697 +25 55 23.24 07FM51 G37 C~5Ro1
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 -0.16 0.00 -0.31
2 0.0000 0.00 -0.14 0.00 -0.29
3 0.0000 0.00 -0.09 0.00 -0.23
4 2.8561 0.00 -0.40 0.00 0.02
5 2.8562 0.00 -0.25 0.00 0.02
6 2.8563 0.00 -0.26 0.00 0.14
7 2.9218 0.00 -0.01 0.00 0.14
8 2.9219 0.00 0.07 0.00 0.11
9 2.9219 0.00 -0.02 0.00 0.19
10 3.0062 0.00 -0.04 0.00 0.60
11 3.0088 0.00 0.75 0.00 -0.17
12 3.0089 0.00 0.78 0.00 -0.01
13 3.0089 0.00 -0.01 0.00 0.11
14 3.0092 0.00 0.24 0.00 0.15
15 3.8120 0.00 0.06 0.00 0.09
16 3.8120 0.00 0.07 0.00 0.25
17 3.8121 0.00 -0.22 0.00 0.22
18 3.8963 0.00 0.04 0.00 -0.27
19 3.8989 0.00 -0.13 0.00 -0.38
20 3.9754 0.00 -0.17 0.00 -0.03
21 3.9781 0.00 -0.14 0.00 0.01
22 4.5701 0.00 0.38 0.00 0.03
23 4.5701 0.00 0.13 0.00 -0.07
24 4.5703 0.00 0.18 0.00 0.01
25 4.6112 0.00 -0.14 0.00 0.02
26 4.6114 0.00 -0.18 0.00 -0.08
27 4.6140 0.00 -0.17 0.00 -0.10
28 10.9486 0.00 -0.07 0.00 0.11
29 10.9491 0.00 -0.12 0.00 -0.14
30 14.7440 0.00 0.07 0.00 -0.09
31 14.7441 0.00 0.51 0.00 -0.53
32 14.8172 0.00 -0.36 0.00 -0.09
33 14.8174 0.00 -0.41 0.00 0.24
34 17.8048 0.00 0.09 0.00 -0.01
35 17.8049 0.00 -0.15 0.00 0.08
36 17.8050 0.00 0.22 0.00 0.16
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.
07FM51 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.475 45.475 45.475 ecceobj 0.163 0.163 0.163 incobj 29.206 29.206 29.206 qmin 37.113 37.109 37.106 qmax 54.467 54.459 54.456 amean 45.605 45.605 45.605 amin 45.219 45.227 45.220 amax 46.036 46.042 46.028 emean 0.167 0.167 0.167 emin 0.151 0.151 0.152 emax 0.183 0.184 0.183 imean 27.502 27.502 27.502 imin 27.103 27.105 27.107 imax 27.845 27.841 27.847 excite_mean 0.491 0.491 0.491 fracstop 1.000 1.000 1.000 cjmean 2.814 2.813 2.814 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 165.9 165.9 165.9 kozaiamp 180.0 180.0 180.0