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: 15UH87 # Created Fri Nov 22 02:10:30 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 3.92y # First observation: 2015/09/05 # Last observation: 2019/08/07 Preliminary a, adot, b, bdot, g, gdot: 0.000006 0.006600 -0.000004 -0.001082 0.012342 0.000000 # Chi-squared of fit: 9.89 DOF: 24 RMS: 0.14 # Min/Max residuals: -0.41 0.39 # Exact a, adot, b, bdot, g, gdot: 8.505088E-06 6.526395E-03 -1.364118E-06 -1.071564E-03 1.227597E-02 -2.410953E-03 # Covariance matrix: 4.7459E-13 -1.7633E-13 -4.5605E-14 6.6819E-15 9.1220E-13 1.7490E-12 -1.7633E-13 7.9109E-13 1.3362E-14 -1.0981E-13 5.0198E-13 2.5507E-11 -4.5605E-14 1.3362E-14 1.7813E-13 -5.3148E-14 -1.4358E-13 -4.5654E-13 6.6819E-15 -1.0981E-13 -5.3148E-14 5.4612E-14 -1.1294E-13 -3.9568E-12 9.1220E-13 5.0198E-13 -1.4358E-13 -1.1294E-13 3.8276E-12 3.7831E-11 1.7490E-12 2.5507E-11 -4.5654E-13 -3.9568E-12 3.7831E-11 9.8827E-10 # lat0 lon0 xBary yBary zBary JD0 -7.939174 -41.994708 -0.412026 -0.127461 -0.915077 2457270.530809 # Heliocentric elements and errors Epoch: 2457270.5000 = 2015/09/05 Mean Anomaly: 243.36982 +/- 0.499 Argument of Peri: 12.03459 +/- 0.327 Long of Asc Node: 98.32851 +/- 0.006 Inclination: 12.11558 +/- 0.001 Eccentricity: 0.45230086 +/- 0.0014 Semi-Major Axis: 62.42178786 +/- 0.1095 Time of Perihelion: 2515629.9491 +/- 196.6 Perihelion: 34.18835925 +/- 0.1041 Aphelion: 90.65521647 +/- 0.1804 Period (y) 493.1880 +/- 1.30 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 60.92049447 +/- 0.0095 Ecliptic Y -54.29138125 +/- 0.0086 Ecliptic Z -11.25149302 +/- 0.0018 Ecliptic XDOT 0.00055164 +/- 0.0000 Ecliptic YDOT 0.00145376 +/- 0.0000 Ecliptic ZDOT -0.00016237 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 82.37388433 +/- 0.0091 Geocenter to KBO 81.45992981 +/- 0.0130 # Hcoef: 5.93
The following table shows the complete astrometric record for 15UH87. 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 (15UH87) followed by the observatory code and reference code for the source of the astrometry.
2015 09 05.03002 21 32 19.698 -22 58 25.85 25.0r 15UH87 807 C~2ZsZ 2015 09 05.10552 21 32 19.511 -22 58 26.15 15UH87 807 C~2ZsZ 2015 09 05.18108 21 32 19.320 -22 58 27.72 25.0r 15UH87 807 C~2ZsZ 2015 10 16.08581 21 31 02.255 -23 01 54.38 15UH87 304 C~2ZsZ 2015 10 16.15694 21 31 02.176 -23 01 54.14 15UH87 304 C~2ZsZ 2015 10 16.18844 21 31 02.143 -23 01 54.19 15UH87 304 C~2ZsZ 2015 12 09.05158 21 31 15.301 -22 56 00.96 15UH87 304 C~2ZsZ 2016 09 26.05409 21 33 08.467 -22 57 24.30 15UH87 304 C~2ZsZ 2016 09 26.15809 21 33 08.266 -22 57 24.73 15UH87 304 C~2ZsZ 2016 09 27.03407 21 33 06.606 -22 57 28.79 15UH87 304 C~2ZsZ 2016 09 27.06784 21 33 06.545 -22 57 29.32 15UH87 304 C~2ZsZ 2019 08 07.330826 21 40 08.49 -22 36 57.9 15UH87 W84 C~5Xnb 2019 08 07.345386 21 40 08.45 -22 36 58.2 15UH87 W84 C~5Xnb 2019 08 07.359936 21 40 08.40 -22 36 58.3 15UH87 W84 C~5Xnb 2019 08 07.374495 21 40 08.37 -22 36 58.5 15UH87 W84 C~5Xnb
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 -0.02 0.00 -0.00
2 0.0002 -2.54 0.16 0.55 0.39
3 0.0004 -5.54 -0.12 -0.09 -0.41
4 0.1124 -1079.78 -0.10 144.67 -0.24
5 0.1126 -1080.74 0.00 145.25 -0.02
6 0.1127 -1081.19 0.02 145.34 -0.09
7 0.2602 -796.24 0.00 422.10 -0.02
8 1.0596 657.54 0.03 -158.44 0.03
9 1.0599 654.78 0.08 -157.95 0.11
10 1.0623 631.76 0.01 -154.41 0.37
11 1.0624 630.80 -0.06 -154.64 0.00
12 3.9214 6549.27 0.05 -905.52 -0.03
13 3.9215 6548.65 0.01 -905.62 -0.12
14 3.9215 6547.96 -0.10 -905.48 0.03
15 3.9215 6547.50 0.02 -905.53 -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.
15UH87 quality flag:3 Type: 3:1EE 3:1EE 3:1EE axisobj 62.850 63.190 62.524 ecceobj 0.449 0.453 0.446 incobj 12.125 12.124 12.126 qmin 33.918 33.514 33.960 qmax 93.250 94.109 93.170 amean 62.628 62.634 62.629 amin 61.649 61.390 61.617 amax 63.936 64.168 63.875 emean 0.447 0.452 0.447 emin 0.435 0.438 0.435 emax 0.459 0.468 0.459 imean 10.665 10.152 10.646 imin 10.466 9.652 10.446 imax 10.869 10.624 10.875 excite_mean 0.484 0.485 0.483 fracstop 1.000 1.000 1.000 cjmean 3.017 3.013 3.017 libcent 0 180.3 179.5 179.8 libamp 0 152.8 171.6 155.0 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 148.9 163.8 155.9 kozaiamp 180.0 179.9 179.9