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: 15GD58 # Created Sun Nov 24 02:10:18 2024 # Orbit generated from Bernstein formalism # Fitting 34 observations of 34 # Arc: 2.34y # First observation: 2015/02/17 # Last observation: 2017/06/22 Preliminary a, adot, b, bdot, g, gdot: -0.000101 0.024102 0.000005 -0.000602 0.024204 0.000000 # Chi-squared of fit: 4.65 DOF: 62 RMS: 0.07 # Min/Max residuals: -0.16 0.14 # Exact a, adot, b, bdot, g, gdot: 1.545594E-05 2.401605E-02 -2.257309E-07 -5.989761E-04 2.425230E-02 -1.220641E-03 # Covariance matrix: 1.6874E-13 5.3601E-15 -8.4455E-16 -1.9960E-15 1.3685E-13 2.6914E-12 5.3601E-15 2.9910E-13 6.8167E-17 -7.8053E-15 1.9192E-13 8.2236E-12 -8.4455E-16 6.8167E-17 8.8715E-14 -7.1730E-14 -9.7377E-16 1.5624E-14 -1.9960E-15 -7.8053E-15 -7.1730E-14 1.1250E-13 -6.5517E-15 -3.6100E-13 1.3685E-13 1.9192E-13 -9.7377E-16 -6.5517E-15 2.6608E-13 7.6066E-12 2.6914E-12 8.2236E-12 1.5624E-14 -3.6100E-13 7.6066E-12 3.7183E-10 # lat0 lon0 xBary yBary zBary JD0 2.996339 -157.207836 0.802004 0.030058 -0.571567 2457071.081158 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 307.28195 +/- 0.219 Argument of Peri: 175.54875 +/- 0.303 Long of Asc Node: 86.67732 +/- 0.013 Inclination: 3.25975 +/- 0.000 Eccentricity: 0.08113418 +/- 0.0007 Semi-Major Axis: 43.77011383 +/- 0.0057 Time of Perihelion: 2472559.4436 +/- 64.2 Perihelion: 40.21886150 +/- 0.0319 Aphelion: 47.32136617 +/- 0.0320 Period (y) 289.5841 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -38.80271747 +/- 0.0008 Ecliptic Y -15.43380752 +/- 0.0003 Ecliptic Z 2.15534106 +/- 0.0000 Ecliptic XDOT 0.00117024 +/- 0.0000 Ecliptic YDOT -0.00245311 +/- 0.0000 Ecliptic ZDOT -0.00007464 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.81505462 +/- 0.0008 Geocenter to KBO 41.23320626 +/- 0.0009 # Hcoef: 7.70
The following table shows the complete astrometric record for 15GD58. 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 (15GD58) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.58038 13 28 48.218 -06 04 49.72 23.9r 15GD58 568 C~2nvY 2015 02 17.62132 13 28 48.123 -06 04 49.00 23.8r 15GD58 568 C~2nvY 2015 02 20.61441 13 28 41.250 -06 03 57.64 23.8r 15GD58 568 C~2nvY 2015 03 18.55881 13 27 16.308 -05 54 23.90 23.7r 15GD58 568 C~2nvY 2015 03 18.59998 13 27 16.143 -05 54 22.88 23.7r 15GD58 568 C~2nvY 2015 03 20.56294 13 27 08.223 -05 53 32.54 23.7r 15GD58 568 C~2nvY 2015 04 11.49722 13 25 32.234 -05 43 45.37 24.0r 15GD58 568 C~2nvY 2015 04 13.36151 13 25 23.765 -05 42 55.20 23.8r 15GD58 568 C~2nvY 2015 04 13.40245 13 25 23.579 -05 42 54.10 24.0r 15GD58 568 C~2nvY 2015 04 13.48799 13 25 23.176 -05 42 52.04 23.8r 15GD58 568 C~2nvY 2015 04 13.50003 13 25 23.120 -05 42 51.53 23.7r 15GD58 568 C~2nvY 2015 04 13.50498 13 25 23.099 -05 42 51.41 23.8r 15GD58 568 C~2nvY 2015 04 19.40228 13 24 56.305 -05 40 15.40 23.5r 15GD58 568 C~2nvY 2015 04 19.51922 13 24 55.759 -05 40 12.33 23.9r 15GD58 568 C~2nvY 2015 05 18.27664 13 22 56.228 -05 29 16.14 24.0r 15GD58 568 C~2nvY 2015 05 18.32493 13 22 56.048 -05 29 15.18 23.9r 15GD58 568 C~2nvY 2015 06 20.27498 13 21 33.075 -05 23 09.35 23.8r 15GD58 568 C~2nvY 2015 06 20.31583 13 21 33.013 -05 23 09.29 24.0r 15GD58 568 C~2nvY 2015 07 14.27191 13 21 26.618 -05 24 27.80 24.1r 15GD58 568 C~2nvY 2015 07 20.26475 13 21 32.809 -05 25 34.75 23.9r 15GD58 568 C~2nvY 2016 02 04.56329 13 34 15.261 -06 40 01.35 24.1w 15GD58 568 C~2nvY 2016 02 10.55122 13 34 08.086 -06 38 55.14 24.1w 15GD58 568 C~2nvY 2016 02 10.60087 13 34 08.003 -06 38 54.58 23.9w 15GD58 568 C~2nvY 2016 03 11.53218 13 32 49.280 -06 29 37.74 24.0w 15GD58 568 C~2nvY 2016 04 03.43317 13 31 14.964 -06 19 50.64 24.1w 15GD58 568 C~2nvY 2016 04 09.41297 13 30 47.964 -06 17 10.12 24.0w 15GD58 568 C~2nvY 2016 05 02.30717 13 29 05.150 -06 07 25.17 24.1w 15GD58 568 C~2nvZ 2016 05 06.31695 13 28 48.172 -06 05 52.92 24.3w 15GD58 568 C~2nvZ 2016 05 28.27195 13 27 27.887 -05 59 02.49 24.1w 15GD58 568 C~2nvZ 2016 06 04.35340 13 27 07.926 -05 57 31.37 24.1w 15GD58 568 C~2nvZ 2016 06 27.27271 13 26 29.146 -05 55 23.21 24.5w 15GD58 568 C~2nvZ 2016 07 06.30847 13 26 25.793 -05 55 47.43 24.4w 15GD58 568 C~2nvZ 2017 02 24.63168 13 38 46.781 -07 07 24.22 15GD58 568 C~2nvZ 2017 06 22.27110 13 31 40.381 -06 27 52.46 24.1w 15GD58 568 C~2nvZ
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 0.04 0.00 -0.03 2 0.0001 -1.58 -0.01 0.15 -0.01 3 0.0083 -115.81 0.03 10.08 -0.02 4 0.0793 -1505.32 -0.05 75.53 0.01 5 0.0795 -1507.98 -0.00 75.56 -0.00 6 0.0848 -1636.40 -0.03 78.68 -0.06 7 0.1449 -3184.64 0.00 94.47 -0.02 8 0.1500 -3320.67 0.01 94.29 0.12 9 0.1501 -3323.66 0.06 94.28 0.14 10 0.1503 -3330.01 0.06 93.97 -0.11 11 0.1504 -3330.98 -0.02 94.13 0.06 12 0.1504 -3331.31 0.01 94.13 0.06 13 0.1665 -3760.71 -0.03 90.95 -0.07 14 0.1668 -3769.42 -0.14 90.78 -0.10 15 0.2456 -5671.00 0.06 38.51 -0.02 16 0.2457 -5673.86 -0.00 38.41 0.04 17 0.3359 -6961.30 0.07 -82.23 0.09 18 0.3360 -6962.19 0.01 -82.52 -0.01 19 0.4016 -7021.73 -0.08 -190.97 0.07 20 0.4180 -6910.89 -0.02 -218.77 -0.08 21 0.9637 5311.36 0.00 -171.75 0.00 22 0.9801 5187.55 0.04 -149.30 0.12 23 0.9802 5186.20 -0.02 -149.23 0.03 24 1.0622 3890.00 -0.15 -61.33 -0.16 25 1.1249 2366.38 0.03 -31.75 -0.03 26 1.1412 1932.96 0.08 -30.55 -0.02 27 1.2039 292.07 0.13 -51.38 -0.06 28 1.2149 22.67 -0.08 -59.00 0.00 29 1.2750 -1241.86 -0.03 -119.55 -0.05 30 1.2944 -1552.26 -0.04 -144.89 -0.05 31 1.3571 -2137.28 -0.02 -239.68 0.14 32 1.3819 -2174.81 0.09 -280.68 -0.02 33 2.0207 9681.32 0.03 -224.41 0.07 34 2.3428 2895.94 -0.04 -340.57 -0.02
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.
15GD58 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.358 43.370 43.346 ecceobj 0.078 0.080 0.077 incobj 3.260 3.260 3.260 qmin 39.590 39.425 39.668 qmax 47.892 48.133 47.801 amean 43.635 43.646 43.624 amin 43.289 43.294 43.269 amax 44.008 44.021 43.994 emean 0.071 0.072 0.069 emin 0.045 0.045 0.046 emax 0.089 0.094 0.087 imean 1.415 1.475 1.384 imin 0.477 0.448 0.445 imax 2.253 2.396 2.117 excite_mean 0.076 0.077 0.074 fracstop 1.000 1.000 1.000 cjmean 3.090 3.090 3.090 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 182.1 180.9 181.3 kozaiamp 179.9 180.0 179.9