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: 15XO480 # Created Sun Dec 22 02:10:38 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.98y # First observation: 2015/12/10 # Last observation: 2018/12/02 Preliminary a, adot, b, bdot, g, gdot: 0.000013 0.027128 -0.000076 0.018158 0.028766 0.000000 # Chi-squared of fit: 4.27 DOF: 10 RMS: 0.13 # Min/Max residuals: -0.28 0.20 # Exact a, adot, b, bdot, g, gdot: 1.548553E-05 2.732743E-02 1.137913E-05 1.829463E-02 2.880685E-02 2.638307E-03 # Covariance matrix: 4.7796E-13 -4.2718E-13 3.8273E-14 -1.7250E-13 -1.0419E-13 -3.2296E-12 -4.2718E-13 1.3988E-12 -1.8024E-13 8.6646E-13 4.0465E-13 1.6242E-11 3.8273E-14 -1.8024E-13 4.6901E-13 -2.9899E-13 -2.1387E-13 -2.3140E-12 -1.7250E-13 8.6646E-13 -2.9899E-13 7.1534E-13 2.9638E-13 1.1054E-11 -1.0419E-13 4.0465E-13 -2.1387E-13 2.9638E-13 1.6435E-12 5.3065E-12 -3.2296E-12 1.6242E-11 -2.3140E-12 1.1054E-11 5.3065E-12 2.0718E-10 # lat0 lon0 xBary yBary zBary JD0 -42.405606 24.731114 -0.784870 -0.403342 -0.441975 2457366.731829 # Heliocentric elements and errors Epoch: 2457360.5000 = 2015/12/04 Mean Anomaly: 26.20308 +/- 0.069 Argument of Peri: 264.15789 +/- 0.115 Long of Asc Node: 70.01676 +/- 0.001 Inclination: 52.31313 +/- 0.000 Eccentricity: 0.19310136 +/- 0.0004 Semi-Major Axis: 42.04059490 +/- 0.0111 Time of Perihelion: 2450113.6129 +/- 19.0 Perihelion: 33.92249881 +/- 0.0176 Aphelion: 50.15869099 +/- 0.0201 Period (y) 272.5910 +/- 0.11 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 23.49286066 +/- 0.0010 Ecliptic Y 11.68614598 +/- 0.0005 Ecliptic Z -23.40999804 +/- 0.0010 Ecliptic XDOT 0.00014552 +/- 0.0000 Ecliptic YDOT 0.00292022 +/- 0.0000 Ecliptic ZDOT 0.00111481 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.16402307 +/- 0.0010 Geocenter to KBO 34.71396460 +/- 0.0015 # Hcoef: 8.19
The following table shows the complete astrometric record for 15XO480. 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 (15XO480) followed by the observatory code and reference code for the source of the astrometry.
2015 12 10.23104 02 37 45.572 -29 43 32.50 23.0i 15XO480 W84 C~55XN 2015 12 14.14850 02 37 25.142 -29 40 41.90 23.3r 15XO480 W84 C~55XN 2016 01 12.12741 02 35 42.663 -29 10 57.47 24.4r 15XO480 W84 C~55XN 2016 10 29.27593 02 46 35.684 -28 15 26.04 23.8i 15XO480 W84 C~55XN 2018 01 16.06486 02 44 14.630 -25 56 20.14 24.0i 15XO480 W84 C~55XN 2018 01 17.11530 02 44 13.062 -25 55 02.80 24.3r 15XO480 W84 C~55XN 2018 11 26.22714 02 51 58.787 -25 01 03.32 22.7i 15XO480 W84 C~55XN 2018 12 02.18277 02 51 22.683 -24 59 02.72 23.9g 15XO480 W84 C~55XN
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 -0.10 0.00 -0.28
2 0.0107 -171.18 -0.01 265.82 0.18
3 0.0901 -651.86 0.16 2444.37 0.10
4 0.8872 8546.52 -0.08 1834.21 -0.03
5 2.1022 10449.84 -0.04 10196.41 -0.04
6 2.1051 10463.97 0.09 10275.67 0.09
7 2.9623 17594.77 0.20 10462.37 -0.02
8 2.9786 17204.99 -0.21 10788.36 -0.01
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.
15XO480 quality flag:2 Type: SCATEXTD SCATEXTD SCATNEAR axisobj 42.509 42.548 42.471 ecceobj 0.202 0.203 0.201 incobj 52.288 52.289 52.288 qmin 33.339 33.272 32.665 qmax 51.875 51.682 52.453 amean 42.323 42.323 42.323 amin 41.952 41.944 41.876 amax 42.771 42.753 42.831 emean 0.127 0.106 0.193 emin 0.034 0.009 0.157 emax 0.213 0.211 0.228 imean 51.517 51.616 51.029 imin 50.815 50.840 50.653 imax 52.118 52.153 51.408 excite_mean 0.795 0.794 0.801 fracstop 1.000 1.000 1.000 cjmean 2.173 2.173 2.175 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 266.7 270.8 269.9 kozaiamp 51.0 64.8 21.4