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: 09JE19 # Created Sat Dec 4 02:10:47 2021 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 19 observations of 19 # Arc: 13.19y # First observation: 2003/03/31 # Last observation: 2016/06/08 # Chi-squared of fit: 10.99 DOF: 32 RMS: 0.13 # Min/Max residuals: -0.27 0.23 # Exact a, adot, b, bdot, g, gdot: 1.520417E-05 2.987761E-02 5.608848E-06 1.040691E-02 2.940610E-02 -9.429877E-03 # Covariance matrix: 3.5185E-13 -7.9526E-14 4.2054E-14 -1.9356E-14 -4.0965E-14 -1.0950E-13 -7.9526E-14 4.2010E-14 -2.4093E-14 1.3836E-14 9.4564E-14 7.4617E-14 4.2054E-14 -2.4093E-14 2.5079E-13 -3.2795E-14 -4.0720E-14 -4.7166E-14 -1.9356E-14 1.3836E-14 -3.2795E-14 8.5144E-15 3.5311E-14 2.6799E-14 -4.0965E-14 9.4564E-14 -4.0720E-14 3.5311E-14 4.6859E-13 1.7772E-13 -1.0950E-13 7.4617E-14 -4.7166E-14 2.6799E-14 1.7772E-13 1.4484E-13 # lat0 lon0 xBary yBary zBary JD0 12.023535 174.467881 -0.272391 0.199948 -0.938818 2452729.716854 # Heliocentric elements and errors Epoch: 2452730.5000 = 2003/04/01 Mean Anomaly: 308.94761 +/- 0.018 Argument of Peri: 116.55899 +/- 0.010 Long of Asc Node: 144.32706 +/- 0.000 Inclination: 22.13416 +/- 0.000 Eccentricity: 0.30048213 +/- 0.0000 Semi-Major Axis: 39.62222392 +/- 0.0017 Time of Perihelion: 2465649.2424 +/- 6.8 Perihelion: 27.71645349 +/- 0.0017 Aphelion: 51.52799434 +/- 0.0025 Period (y) 249.4115 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -34.08923211 +/- 0.0006 Ecliptic Y 3.03172194 +/- 0.0001 Ecliptic Z 7.08422792 +/- 0.0001 Ecliptic XDOT 0.00078107 +/- 0.0000 Ecliptic YDOT -0.00287580 +/- 0.0000 Ecliptic ZDOT 0.00076498 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 34.94946466 +/- 0.0006 Geocenter to KBO 34.00675719 +/- 0.0006 # Hcoef: 6.61
The following table shows the complete astrometric record for 09JE19. 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 (09JE19) followed by the observatory code and reference code for the source of the astrometry.
2003 03 31.216111 11 59 08.50 +13 12 59.1 22.2r 09JE19 645 C~4qBt 2003 03 31.216940 11 59 08.49 +13 12 59.2 21.4i 09JE19 645 C~4qBt 2003 03 31.218598 11 59 08.47 +13 12 59.4 21.1z 09JE19 645 C~4qBt 2003 03 31.219428 11 59 08.46 +13 12 59.5 23.1g 09JE19 645 C~4qBt 2009 04 23.349341 12 44 00.27 +12 12 50.6 23.6u 09JE19 568 C~4qBt 2009 04 23.393327 12 44 00.04 +12 12 51.7 23.5u 09JE19 568 C~4qBt 2009 05 15.469581 12 42 21.517 +12 18 39.25 21.7i 09JE19 568 C~0aRU 2009 05 20.331222 12 42 04.590 +12 18 59.90 21.9i 09JE19 568 C~0aRU 2009 05 20.364003 12 42 04.480 +12 19 00.00 21.9i 09JE19 568 C~0aRU 2009 05 20.401995 12 42 04.350 +12 19 00.10 21.8i 09JE19 568 C~0aRU 2009 05 26.258739 12 41 46.739 +12 18 57.25 23.0g 09JE19 568 C~0aRU 2009 05 26.306652 12 41 46.599 +12 18 57.03 23.1g 09JE19 568 C~0aRU 2009 05 26.354612 12 41 46.466 +12 18 56.86 23.1g 09JE19 568 C~0aRU 2009 07 20.249242 12 41 55.91 +11 56 40.2 21.6r 09JE19 568 C~4qBt 2009 07 20.263887 12 41 55.96 +11 56 39.5 21.6r 09JE19 568 C~4qBt 2016 03 02.328704 13 49 23.51 +09 17 40.2 21.3z 09JE19 W84 C~4qBt 2016 03 02.331192 13 49 23.49 +09 17 40.4 21.3z 09JE19 W84 C~4qBt 2016 06 08.049595 13 41 13.97 +10 06 30.2 09JE19 W84 C~4qBt 2016 06 08.052280 13 41 13.96 +10 06 30.4 21.1z 09JE19 W84 C~4qBt
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 0.17 0.00 -0.07
2 0.0000 0.00 0.08 0.00 -0.00
3 0.0000 0.00 -0.08 0.00 0.14
4 0.0000 0.00 -0.17 0.00 0.21
5 6.0647 0.00 -0.20 0.00 -0.27
6 6.0648 0.00 -0.21 0.00 -0.27
7 6.1253 0.00 0.11 0.00 0.04
8 6.1386 0.00 0.22 0.00 -0.01
9 6.1387 0.00 0.23 0.00 0.03
10 6.1388 0.00 0.20 0.00 0.05
11 6.1548 0.00 -0.10 0.00 0.05
12 6.1549 0.00 -0.16 0.00 -0.02
13 6.1551 0.00 -0.12 0.00 -0.04
14 6.3054 0.00 -0.03 0.00 0.02
15 6.3054 0.00 0.05 0.00 -0.07
16 12.9230 0.00 0.15 0.00 0.08
17 12.9230 0.00 -0.02 0.00 0.15
18 13.1905 0.00 -0.05 0.00 -0.12
19 13.1905 0.00 -0.07 0.00 0.11
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.
09JE19 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.256 39.255 39.256 ecceobj 0.299 0.299 0.299 incobj 22.201 22.201 22.201 qmin 26.840 26.851 26.790 qmax 52.773 52.737 52.811 amean 39.454 39.454 39.454 amin 38.998 38.993 39.004 amax 39.995 39.978 40.001 emean 0.259 0.259 0.260 emin 0.181 0.182 0.185 emax 0.319 0.320 0.322 imean 22.765 22.766 22.744 imin 20.625 20.614 20.502 imax 25.255 25.254 25.255 excite_mean 0.468 0.468 0.468 fracstop 1.000 1.000 1.000 cjmean 2.799 2.799 2.799 libcent 0 179.7 180.2 180.1 libamp 0 93.8 93.4 91.4 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 94.7 94.5 94.9 kozaiamp 57.8 57.5 57.9