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: 13JS64 # Created Sun Nov 24 02:09:24 2024 # Orbit generated from Bernstein formalism # Fitting 20 observations of 20 # Arc: 3.16y # First observation: 2013/04/09 # Last observation: 2016/06/08 Preliminary a, adot, b, bdot, g, gdot: -0.000037 0.025245 -0.000000 0.002976 0.025110 0.000000 # Chi-squared of fit: 9.79 DOF: 34 RMS: 0.12 # Min/Max residuals: -0.22 0.35 # Exact a, adot, b, bdot, g, gdot: 1.674006E-05 2.511033E-02 1.657248E-06 2.954205E-03 2.508944E-02 -1.054512E-04 # Covariance matrix: 2.8476E-13 -2.4130E-13 2.8721E-15 -4.0069E-14 2.6806E-13 -4.1338E-12 -2.4130E-13 1.0602E-12 -3.1782E-14 1.7161E-13 5.3001E-14 1.8019E-11 2.8721E-15 -3.1782E-14 1.0368E-13 -5.4888E-14 -8.2018E-15 -5.7176E-13 -4.0069E-14 1.7161E-13 -5.4888E-14 1.1278E-13 -3.0248E-15 3.1891E-12 2.6806E-13 5.3001E-14 -8.2018E-15 -3.0248E-15 5.3929E-13 -1.7640E-13 -4.1338E-12 1.8019E-11 -5.7176E-13 3.1891E-12 -1.7640E-13 3.3454E-10 # lat0 lon0 xBary yBary zBary JD0 6.960443 -122.208962 0.618053 0.095786 -0.784424 2456392.027708 # Heliocentric elements and errors Epoch: 2456390.5000 = 2013/04/08 Mean Anomaly: 337.04734 +/- 0.834 Argument of Peri: 70.29280 +/- 0.921 Long of Asc Node: 192.11030 +/- 0.003 Inclination: 9.63972 +/- 0.000 Eccentricity: 0.04531394 +/- 0.0002 Semi-Major Axis: 42.39929506 +/- 0.0061 Time of Perihelion: 2462819.8489 +/- 233.5 Perihelion: 40.47801590 +/- 0.0116 Aphelion: 44.32057422 +/- 0.0119 Period (y) 276.0871 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -22.03068388 +/- 0.0006 Ecliptic Y -33.81222337 +/- 0.0010 Ecliptic Z 4.83018320 +/- 0.0001 Ecliptic XDOT 0.00233906 +/- 0.0000 Ecliptic YDOT -0.00141744 +/- 0.0000 Ecliptic ZDOT 0.00031874 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.64416503 +/- 0.0009 Geocenter to KBO 39.85740840 +/- 0.0012 # Hcoef: 8.44
The following table shows the complete astrometric record for 13JS64. 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 (13JS64) followed by the observatory code and reference code for the source of the astrometry.
2013 04 09.52693 15 48 31.201 -12 52 45.60 24.8r 13JS64 568 C~1XRe 2013 04 10.49580 15 48 27.759 -12 52 26.23 24.2r 13JS64 568 C~1XRe 2013 04 10.53608 15 48 27.620 -12 52 25.21 13JS64 568 C~1XRe 2013 05 04.42521 15 46 46.409 -12 44 16.56 24.1r 13JS64 568 C~1XRe 2013 05 07.42802 15 46 32.144 -12 43 16.75 24.2r 13JS64 568 C~1XRe 2013 05 07.47225 15 46 31.915 -12 43 15.84 13JS64 568 C~1XRe 2013 05 07.51247 15 46 31.722 -12 43 15.14 24.8r 13JS64 568 C~1XRe 2013 05 09.47229 15 46 22.291 -12 42 36.76 24.6r 13JS64 568 C~1XRe 2013 05 10.47981 15 46 17.420 -12 42 17.22 24.6r 13JS64 568 C~1XRe 2013 06 01.38796 15 44 30.430 -12 35 53.70 24.2r 13JS64 568 C~1XRe 2013 06 02.39467 15 44 25.637 -12 35 38.13 24.5r 13JS64 568 C~1XRe 2013 06 06.36358 15 44 06.987 -12 34 41.42 24.4r 13JS64 568 C~1XRe 2013 07 02.31641 15 42 21.529 -12 30 25.86 24.5r 13JS64 568 C~1XRe 2013 07 03.35437 15 42 18.102 -12 30 20.45 25.0r 13JS64 568 C~1XRe 2014 04 30.42091 15 53 02.099 -12 54 27.72 24.3r 13JS64 568 C~1XRe 2014 04 30.52393 15 53 01.607 -12 54 25.78 24.1r 13JS64 568 C~1XRe 2014 05 06.41552 15 52 34.201 -12 52 29.92 24.4r 13JS64 568 C~1XRe 2014 05 06.48238 15 52 33.883 -12 52 28.57 13JS64 568 C~1XRe 2016 06 08.21334 16 01 47.170 -12 59 51.22 24.0R 13JS64 G37 C~2bms 2016 06 08.25548 16 01 46.955 -12 59 50.15 13JS64 G37 C~2bms
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 -0.19 0.00 0.04 2 0.0027 -53.34 0.02 7.96 -0.14 3 0.0028 -55.55 0.11 8.51 0.09 4 0.0682 -1606.96 -0.17 162.14 -0.04 5 0.0764 -1823.72 0.13 174.73 0.10 6 0.0765 -1827.19 -0.07 174.88 0.10 7 0.0766 -1830.10 0.00 174.95 0.01 8 0.0820 -1973.17 0.06 182.11 -0.05 9 0.0847 -2047.00 0.21 185.53 -0.08 10 0.1447 -3659.22 -0.09 214.46 -0.07 11 0.1475 -3731.12 -0.12 214.12 0.35 12 0.1583 -4010.02 0.04 208.96 -0.07 13 0.2294 -5573.15 0.08 114.63 -0.02 14 0.2322 -5623.32 -0.03 108.70 -0.12 15 1.0565 3890.55 0.14 753.35 0.08 16 1.0568 3883.10 -0.04 753.72 -0.07 17 1.0729 3466.75 -0.07 781.37 -0.13 18 1.0731 3461.91 -0.01 781.70 -0.06 19 3.1641 11475.99 0.14 2043.38 -0.22 20 3.1642 11472.68 -0.15 2043.79 0.28
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.
13JS64 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.275 42.295 42.255 ecceobj 0.044 0.044 0.045 incobj 9.661 9.661 9.661 qmin 39.993 40.109 39.980 qmax 45.289 45.392 45.344 amean 42.584 42.604 42.564 amin 42.254 42.274 42.227 amax 42.921 42.949 42.900 emean 0.041 0.041 0.042 emin 0.027 0.027 0.026 emax 0.056 0.057 0.058 imean 10.314 10.304 10.324 imin 9.539 9.528 9.552 imax 11.061 11.056 11.071 excite_mean 0.184 0.184 0.184 fracstop 1.000 1.000 1.000 cjmean 3.045 3.045 3.044 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 177.4 177.4 177.4 kozaiamp 180.0 180.0 180.0