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: 07FP51 # Created Sun Dec 22 02:09:00 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 31 observations of 31 # Arc: 17.98y # First observation: 2004/04/16 # Last observation: 2022/04/08 # Chi-squared of fit: 43.53 DOF: 56 RMS: 0.21 # Min/Max residuals: -0.39 0.45 # Exact a, adot, b, bdot, g, gdot: 1.732515E-05 3.153432E-02 2.456241E-06 2.074014E-03 2.788562E-02 1.777494E-03 # Covariance matrix: 3.0434E-13 -8.5061E-14 1.6447E-14 -5.2872E-15 2.2519E-14 -1.1653E-13 -8.5061E-14 3.3733E-14 -7.9627E-15 2.3596E-15 -2.8362E-14 4.9848E-14 1.6447E-14 -7.9627E-15 1.1540E-13 -1.1579E-14 1.1625E-14 -1.2335E-14 -5.2872E-15 2.3596E-15 -1.1579E-14 1.9727E-15 -2.5158E-15 3.6744E-15 2.2519E-14 -2.8362E-14 1.1625E-14 -2.5158E-15 1.2246E-13 -4.2268E-14 -1.1653E-13 4.9848E-14 -1.2335E-14 3.6744E-15 -4.2268E-14 7.7846E-14 # lat0 lon0 xBary yBary zBary JD0 25.835269 153.212998 -0.805285 0.259345 -0.535538 2453111.763568 # Heliocentric elements and errors Epoch: 2453112.5000 = 2004/04/17 Mean Anomaly: 17.03757 +/- 0.003 Argument of Peri: 57.06039 +/- 0.004 Long of Asc Node: 72.00254 +/- 0.000 Inclination: 25.60317 +/- 0.000 Eccentricity: 0.20845351 +/- 0.0001 Semi-Major Axis: 45.17908012 +/- 0.0035 Time of Perihelion: 2447863.1003 +/- 1.2 Perihelion: 35.76134239 +/- 0.0036 Aphelion: 54.59681785 +/- 0.0048 Period (y) 303.6787 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -29.71101738 +/- 0.0004 Ecliptic Y 14.09707668 +/- 0.0002 Ecliptic Z 15.62770534 +/- 0.0002 Ecliptic XDOT -0.00145944 +/- 0.0000 Ecliptic YDOT -0.00273995 +/- 0.0000 Ecliptic ZDOT 0.00025946 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.41007650 +/- 0.0003 Geocenter to KBO 35.86078405 +/- 0.0005 # Hcoef: 8.06
The following table shows the complete astrometric record for 07FP51. 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 (07FP51) followed by the observatory code and reference code for the source of the astrometry.
2004 04 16.262825 11 04 24.39 +34 08 13.7 07FP51 645 C~1RHm 2004 04 16.263654 11 04 24.39 +34 08 13.7 07FP51 645 C~1RHm 2004 04 16.266142 11 04 24.37 +34 08 13.7 07FP51 645 C~1RHm 2007 03 21.40836 11 30 29.44 +31 56 58.6 23.6r 07FP51 568 C~1QdK 2007 03 21.44962 11 30 29.18 +31 56 59.5 24.2r 07FP51 568 C~1QdK 2007 03 21.49084 11 30 28.95 +31 57 00.5 23.6r 07FP51 568 C~1QdK 2007 05 15.20811 11 26 32.18 +31 51 13.6 07FP51 675 C~1QdK 2007 05 15.21229 11 26 32.15 +31 51 13.5 07FP51 675 C~1QdK 2007 05 15.26420 11 26 32.07 +31 51 11.6 07FP51 675 C~1QdK 2007 05 15.26881 11 26 32.04 +31 51 11.5 07FP51 675 C~1QdK 2007 05 16.20585 11 26 30.26 +31 50 41.1 07FP51 675 C~1QdK 2008 03 04.54857 11 39 38.62 +31 02 44.8 23.5r 07FP51 568 C~1QdK 2008 03 04.56458 11 39 38.52 +31 02 45.6 23.3r 07FP51 568 C~1QdK 2008 03 04.58052 11 39 38.44 +31 02 45.8 23.4r 07FP51 568 C~1QdK 2008 04 04.34748 11 36 41.51 +31 14 13.5 23.9r 07FP51 568 C~1QdK 2008 04 05.28734 11 36 36.48 +31 14 20.8 23.7r 07FP51 568 C~1QdK 2008 05 03.25450 11 34 32.60 +31 11 11.3 07FP51 695 C~1QdK 2008 05 04.27847 11 34 29.26 +31 10 50.2 07FP51 695 C~1QdK 2008 12 21.46279 11 50 41.16 +29 17 36.6 07FP51 695 C~1QdK 2008 12 21.53500 11 50 41.22 +29 17 39.5 07FP51 695 C~1QdK 2008 12 22.49580 11 50 41.97 +29 18 18.4 07FP51 695 C~1QdK 2009 11 16.61813 11 55 54.06 +28 13 49.3 07FP51 568 C~1QdK 2009 11 18.62287 11 56 03.59 +28 14 11.9 07FP51 568 C~1QdK 2013 12 12.57236 12 23 43.98 +24 59 37.4 07FP51 568 C~1QdK 2013 12 14.65079 12 23 49.51 +25 00 31.3 07FP51 568 C~1QdK 2014 03 11.63890 12 20 59.08 +26 02 02.5 07FP51 568 C~1QdK 2014 03 26.53060 12 19 37.69 +26 09 49.2 07FP51 568 C~1QdK 2014 03 28.39599 12 19 27.36 +26 10 35.7 07FP51 568 C~1QdK 2022 04 08.242100 13 06 47.644 +18 54 59.70 23.8G 07FP51 G37 C~5ZWT 2022 04 08.282500 13 06 47.440 +18 55 00.00 07FP51 G37 C~5ZWT 2022 04 08.323190 13 06 47.231 +18 55 01.54 07FP51 G37 C~5ZWT
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 -0.01 0.00 -0.29
2 0.0000 0.00 0.04 0.00 -0.28
3 0.0000 0.00 -0.10 0.00 -0.25
4 2.9272 0.00 -0.16 0.00 0.16
5 2.9273 0.00 -0.37 0.00 0.23
6 2.9274 0.00 -0.13 0.00 0.40
7 3.0772 0.00 0.19 0.00 0.29
8 3.0772 0.00 -0.13 0.00 0.32
9 3.0773 0.00 0.29 0.00 0.11
10 3.0774 0.00 -0.02 0.00 0.16
11 3.0799 0.00 0.36 0.00 0.19
12 3.8831 0.00 0.34 0.00 -0.14
13 3.8831 0.00 0.25 0.00 0.10
14 3.8831 0.00 0.45 0.00 -0.26
15 3.9674 0.00 -0.19 0.00 -0.34
16 3.9700 0.00 -0.12 0.00 -0.16
17 4.0465 0.00 -0.25 0.00 -0.14
18 4.0493 0.00 -0.23 0.00 0.14
19 4.6823 0.00 -0.23 0.00 0.01
20 4.6825 0.00 -0.14 0.00 -0.01
21 4.6851 0.00 -0.26 0.00 -0.03
22 5.5862 0.00 0.25 0.00 0.12
23 5.5917 0.00 0.26 0.00 0.04
24 9.6572 0.00 -0.01 0.00 -0.17
25 9.6629 0.00 -0.03 0.00 -0.21
26 9.9011 0.00 0.07 0.00 -0.09
27 9.9419 0.00 0.01 0.00 0.01
28 9.9470 0.00 -0.13 0.00 -0.03
29 17.9767 0.00 -0.12 0.00 0.27
30 17.9768 0.00 0.02 0.00 -0.39
31 17.9769 0.00 0.11 0.00 0.20
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.
07FP51 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.703 44.703 44.703 ecceobj 0.201 0.201 0.201 incobj 25.596 25.596 25.596 qmin 35.016 34.952 34.899 qmax 55.102 55.163 55.115 amean 44.851 44.858 44.850 amin 44.456 44.446 44.450 amax 45.327 45.323 45.306 emean 0.198 0.200 0.199 emin 0.182 0.181 0.183 emax 0.217 0.219 0.219 imean 24.307 24.260 24.288 imin 23.787 23.713 23.798 imax 24.751 24.762 24.742 excite_mean 0.457 0.457 0.457 fracstop 1.000 1.000 1.000 cjmean 2.852 2.852 2.852 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 186.3 178.2 184.9 kozaiamp 180.0 180.0 180.0