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: 15GD57 # Created Sun Nov 24 02:10:17 2024 # Orbit generated from Bernstein formalism # Fitting 38 observations of 38 # Arc: 2.11y # First observation: 2015/02/17 # Last observation: 2017/03/29 Preliminary a, adot, b, bdot, g, gdot: -0.000132 0.023496 0.000001 -0.001059 0.023547 0.000000 # Chi-squared of fit: 5.25 DOF: 70 RMS: 0.07 # Min/Max residuals: -0.34 0.11 # Exact a, adot, b, bdot, g, gdot: 1.562648E-05 2.336399E-02 -1.228974E-06 -1.055584E-03 2.358086E-02 1.359787E-03 # Covariance matrix: 1.6473E-13 1.1618E-14 3.5190E-17 -3.9192E-15 1.4271E-13 2.2653E-12 1.1618E-14 2.8253E-13 1.5075E-15 -1.2540E-14 1.8131E-13 6.9800E-12 3.5190E-17 1.5075E-15 7.5933E-14 -5.9129E-14 8.0681E-16 5.8202E-14 -3.9192E-15 -1.2540E-14 -5.9129E-14 9.3483E-14 -1.1076E-14 -4.6491E-13 1.4271E-13 1.8131E-13 8.0681E-16 -1.1076E-14 2.6371E-13 6.2660E-12 2.2653E-12 6.9800E-12 5.8202E-14 -4.6491E-13 6.2660E-12 2.5834E-10 # lat0 lon0 xBary yBary zBary JD0 1.143193 -155.053258 0.823669 0.010935 -0.540597 2457071.006958 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 25.53505 +/- 0.335 Argument of Peri: 125.88638 +/- 0.413 Long of Asc Node: 47.62795 +/- 0.006 Inclination: 2.79652 +/- 0.001 Eccentricity: 0.08721049 +/- 0.0004 Semi-Major Axis: 46.54671751 +/- 0.0044 Time of Perihelion: 2448843.0327 +/- 108.1 Perihelion: 42.48735530 +/- 0.0184 Aphelion: 50.60607972 +/- 0.0186 Period (y) 317.5717 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -39.28344334 +/- 0.0008 Ecliptic Y -17.36403568 +/- 0.0004 Ecliptic Z 0.84601702 +/- 0.0000 Ecliptic XDOT 0.00099515 +/- 0.0000 Ecliptic YDOT -0.00253276 +/- 0.0000 Ecliptic ZDOT -0.00011929 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.95828675 +/- 0.0008 Geocenter to KBO 42.40727902 +/- 0.0009 # Hcoef: 7.50
The following table shows the complete astrometric record for 15GD57. 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 (15GD57) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.50618 13 34 08.477 -08 35 38.96 23.6r 15GD57 568 C~2nvV 2015 02 17.54752 13 34 08.386 -08 35 38.52 23.7r 15GD57 568 C~2nvV 2015 02 20.47836 13 34 02.127 -08 34 59.56 23.3r 15GD57 568 C~2nvV 2015 03 18.47955 13 32 41.021 -08 26 53.48 23.7r 15GD57 568 C~2nvV 2015 03 18.48429 13 32 41.002 -08 26 53.23 24.2r 15GD57 568 C~2nvV 2015 03 18.52590 13 32 40.836 -08 26 52.25 24.0r 15GD57 568 C~2nvV 2015 03 20.52796 13 32 33.044 -08 26 06.45 23.8r 15GD57 568 C~2nvV 2015 04 11.41852 13 30 59.895 -08 17 06.04 23.5r 15GD57 568 C~2nvV 2015 04 12.37119 13 30 55.646 -08 16 41.59 23.7r 15GD57 568 C~2nvV 2015 04 12.42087 13 30 55.420 -08 16 40.38 23.7r 15GD57 568 C~2nvV 2015 04 12.45912 13 30 55.229 -08 16 39.36 22.9r 15GD57 568 C~2nvV 2015 04 13.12231 13 30 52.31 -08 16 22.3 24.2V 15GD57 W84 C~3jdt 2015 04 13.21165 13 30 51.90 -08 16 20.1 15GD57 W84 C~3jdt 2015 04 13.30360 13 30 51.48 -08 16 17.7 15GD57 W84 C~3jdt 2015 04 14.46908 13 30 46.291 -08 15 48.02 23.7r 15GD57 568 C~2nvV 2015 04 18.42971 13 30 28.643 -08 14 07.26 23.6r 15GD57 568 C~2nvV 2015 04 18.47743 13 30 28.420 -08 14 06.15 23.5r 15GD57 568 C~2nvV 2015 05 16.27640 13 28 32.668 -08 03 18.18 24.0r 15GD57 568 C~2nvV 2015 05 25.38047 13 28 01.194 -08 00 27.96 23.7r 15GD57 568 C~2nvV 2015 05 25.43825 13 28 01.001 -08 00 27.05 23.7r 15GD57 568 C~2nvV 2015 06 21.33006 13 26 59.153 -07 55 16.09 23.9r 15GD57 568 C~2nvV 2015 06 22.28659 13 26 57.952 -07 55 11.09 23.9r 15GD57 568 C~2nvV 2015 07 19.27044 13 26 55.380 -07 55 57.67 24.1r 15GD57 568 C~2nvV 2016 02 04.59812 13 39 24.311 -09 10 08.45 24.1w 15GD57 568 C~2nvV 2016 02 10.61712 13 39 17.889 -09 09 25.92 24.4w 15GD57 568 C~2nvV 2016 03 11.56702 13 38 03.565 -09 01 59.21 23.9w 15GD57 568 C~2nvV 2016 04 03.45744 13 36 32.446 -08 53 12.83 23.8w 15GD57 568 C~2nvV 2016 04 09.43859 13 36 06.142 -08 50 43.02 24.2w 15GD57 568 C~2nvV 2016 05 02.31935 13 34 25.339 -08 41 17.08 24.1w 15GD57 568 C~2nvV 2016 05 06.32911 13 34 08.570 -08 39 44.58 23.9w 15GD57 568 C~2nvV 2016 05 28.30028 13 32 48.481 -08 32 31.54 24.0w 15GD57 568 C~2nvV 2016 06 04.37773 13 32 28.307 -08 30 46.90 23.9w 15GD57 568 C~2nvV 2016 06 27.30147 13 31 47.792 -08 27 37.40 24.1w 15GD57 568 C~2nvV 2016 06 27.30677 13 31 47.794 -08 27 37.31 24.0w 15GD57 568 C~2nvV 2016 07 07.30364 13 31 43.330 -08 27 33.29 24.3w 15GD57 568 C~2nvV 2017 02 24.65166 13 43 48.310 -09 38 51.77 15GD57 568 C~2nvV 2017 03 29.47811 13 41 55.935 -09 28 04.41 15GD57 568 C~2nvV 2017 03 29.49962 13 41 55.849 -09 28 03.86 24.5w 15GD57 568 C~2nvV
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 0.01 0.00 0.11 2 0.0001 -1.42 -0.02 -0.08 0.01 3 0.0081 -102.06 0.05 2.33 0.06 4 0.0793 -1399.68 0.08 15.39 -0.12 5 0.0793 -1400.03 0.02 15.52 0.01 6 0.0795 -1402.68 -0.02 15.53 0.04 7 0.0849 -1527.04 0.03 15.88 0.04 8 0.1449 -3011.49 0.11 12.56 -0.05 9 0.1475 -3079.14 -0.10 12.18 0.00 10 0.1476 -3082.71 -0.09 12.08 -0.05 11 0.1477 -3085.72 -0.34 11.99 -0.11 12 0.1495 -3132.30 0.07 11.97 0.00 13 0.1498 -3138.77 0.03 11.78 -0.10 14 0.1500 -3145.45 -0.04 11.73 -0.07 15 0.1532 -3228.02 -0.03 11.09 0.06 16 0.1641 -3508.77 0.07 8.72 0.08 17 0.1642 -3512.26 0.01 8.54 -0.05 18 0.2403 -5349.74 0.09 -20.48 0.04 19 0.2652 -5847.42 0.01 -34.35 0.02 20 0.2654 -5850.42 -0.01 -34.56 -0.08 21 0.3390 -6820.03 0.00 -84.23 0.03 22 0.3416 -6838.48 0.02 -86.16 0.03 23 0.4155 -6856.83 0.04 -143.59 -0.01 24 0.9640 5113.71 -0.01 -228.59 0.00 25 0.9805 5009.61 -0.04 -223.31 0.05 26 1.0625 3821.17 0.01 -205.29 -0.02 27 1.1251 2371.75 0.02 -204.58 0.03 28 1.1415 1954.07 0.03 -206.69 0.05 29 1.2041 356.14 0.07 -223.65 0.07 30 1.2151 90.88 0.07 -228.19 -0.06 31 1.2753 -1173.06 0.03 -258.81 0.06 32 1.2947 -1489.88 0.01 -270.85 0.04 33 1.3574 -2118.65 -0.08 -314.48 -0.05 34 1.3574 -2118.66 -0.01 -314.38 0.06 35 1.3848 -2181.77 -0.07 -334.90 -0.05 36 2.0209 9384.31 -0.00 -430.18 -0.04 37 2.1108 7597.45 -0.04 -422.94 -0.06 38 2.1109 7596.06 0.03 -422.88 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.
15GD57 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.070 46.085 46.056 ecceobj 0.078 0.079 0.077 incobj 2.804 2.804 2.805 qmin 41.814 41.765 41.852 qmax 51.236 51.277 51.130 amean 46.386 46.401 46.371 amin 46.008 46.018 45.987 amax 46.788 46.814 46.772 emean 0.082 0.083 0.081 emin 0.070 0.070 0.069 emax 0.095 0.096 0.094 imean 2.132 2.133 2.131 imin 1.733 1.733 1.733 imax 2.502 2.502 2.502 excite_mean 0.090 0.091 0.089 fracstop 1.000 1.000 1.000 cjmean 3.121 3.121 3.121 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 170.9 170.8 171.2 kozaiamp 179.9 180.0 179.9