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: 15GJ57 # Created Sun Nov 24 02:10:17 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 39 observations of 39 # Arc: 9.29y # First observation: 2015/02/17 # Last observation: 2024/06/03 # Chi-squared of fit: 15.47 DOF: 72 RMS: 0.11 # Min/Max residuals: -0.38 0.29 # Exact a, adot, b, bdot, g, gdot: 1.514370E-05 2.234460E-02 -1.353510E-07 -2.891521E-04 2.339729E-02 1.128491E-03 # Covariance matrix: 1.5978E-13 -7.3678E-14 -1.0289E-15 1.0811E-15 7.7343E-14 -3.9991E-13 -7.3678E-14 1.1397E-13 1.0025E-15 -1.6153E-15 1.2674E-14 6.0905E-13 -1.0289E-15 1.0025E-15 5.1429E-14 -9.6575E-15 -4.0326E-16 5.9108E-15 1.0811E-15 -1.6153E-15 -9.6575E-15 6.6039E-15 -4.8003E-17 -9.2223E-15 7.7343E-14 1.2674E-14 -4.0326E-16 -4.8003E-17 1.0420E-13 2.7427E-14 -3.9991E-13 6.0905E-13 5.9108E-15 -9.2223E-15 2.7427E-14 3.4733E-12 # lat0 lon0 xBary yBary zBary JD0 1.130657 -154.059690 0.832842 0.010535 -0.526366 2457071.015468 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 78.90392 +/- 0.072 Argument of Peri: 40.01144 +/- 0.075 Long of Asc Node: 82.09083 +/- 0.007 Inclination: 1.32752 +/- 0.000 Eccentricity: 0.03372745 +/- 0.0001 Semi-Major Axis: 43.51114524 +/- 0.0028 Time of Perihelion: 2434093.3954 +/- 21.2 Perihelion: 42.04362516 +/- 0.0047 Aphelion: 44.97866532 +/- 0.0048 Period (y) 287.0179 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -39.26694665 +/- 0.0005 Ecliptic Y -18.17365513 +/- 0.0002 Ecliptic Z 0.84335244 +/- 0.0000 Ecliptic XDOT 0.00102077 +/- 0.0000 Ecliptic YDOT -0.00241486 +/- 0.0000 Ecliptic ZDOT -0.00003113 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.27683242 +/- 0.0005 Geocenter to KBO 42.73997851 +/- 0.0006 # Hcoef: 7.51
The following table shows the complete astrometric record for 15GJ57. 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 (15GJ57) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.51469 13 37 52.110 -08 58 00.76 23.6r 15GJ57 568 C~2nvV 2015 02 17.55579 13 37 52.031 -08 58 00.30 24.1r 15GJ57 568 C~2nvV 2015 02 20.48657 13 37 45.959 -08 57 21.42 24.7r 15GJ57 568 C~2nvV 2015 03 18.49249 13 36 26.366 -08 49 16.07 23.6r 15GJ57 568 C~2nvV 2015 03 18.53407 13 36 26.202 -08 49 15.08 23.4r 15GJ57 568 C~2nvV 2015 03 20.53726 13 36 18.499 -08 48 29.24 23.4r 15GJ57 568 C~2nvV 2015 04 11.47256 13 34 45.778 -08 39 25.51 23.4r 15GJ57 568 C~2nvV 2015 04 12.37938 13 34 41.749 -08 39 01.97 24.1r 15GJ57 568 C~2nvV 2015 04 12.42509 13 34 41.545 -08 39 00.72 24.2r 15GJ57 568 C~2nvV 2015 04 12.46730 13 34 41.359 -08 38 59.71 24.2r 15GJ57 568 C~2nvV 2015 04 18.43790 13 34 14.782 -08 36 26.37 24.0r 15GJ57 568 C~2nvV 2015 04 18.48560 13 34 14.581 -08 36 25.39 24.0r 15GJ57 568 C~2nvV 2015 05 16.28656 13 32 18.221 -08 25 25.88 23.8r 15GJ57 568 C~2nvV 2015 05 17.24686 13 32 14.641 -08 25 06.03 23.8r 15GJ57 568 C~2nvV 2015 05 25.38864 13 31 46.266 -08 22 29.95 23.6r 15GJ57 568 C~2nvV 2015 05 25.44647 13 31 46.078 -08 22 28.91 23.4r 15GJ57 568 C~2nvV 2015 07 12.28879 13 30 31.036 -08 16 28.39 24.4r 15GJ57 568 C~2nvV 2015 07 15.27908 13 30 32.458 -08 16 42.68 23.6r 15GJ57 568 C~2nvV 2016 02 04.61430 13 42 58.390 -09 28 35.66 24.4w 15GJ57 568 C~2nvV 2016 02 11.59753 13 42 51.121 -09 27 44.18 24.3w 15GJ57 568 C~2nvV 2016 03 11.60487 13 41 39.796 -09 20 24.73 24.5w 15GJ57 568 C~2nvV 2016 04 03.47362 13 40 09.651 -09 11 36.97 23.6w 15GJ57 568 C~2nvV 2016 04 09.45477 13 39 43.468 -09 09 06.22 23.8w 15GJ57 568 C~2nvV 2016 05 01.46556 13 38 06.315 -08 59 54.81 24.0w 15GJ57 568 C~2nvV 2016 05 02.33963 13 38 02.615 -08 59 34.00 24.6w 15GJ57 568 C~2nvV 2016 05 07.34298 13 37 41.640 -08 57 36.91 23.9w 15GJ57 568 C~2nvV 2016 05 29.32744 13 36 21.592 -08 50 18.55 24.1w 15GJ57 568 C~2nvV 2016 06 04.38987 13 36 04.107 -08 48 46.10 24.2w 15GJ57 568 C~2nvV 2016 06 27.32010 13 35 21.723 -08 45 17.87 23.9w 15GJ57 568 C~2nvV 2016 06 27.32513 13 35 21.708 -08 45 17.84 23.9w 15GJ57 568 C~2nvV 2016 07 07.31590 13 35 16.298 -08 45 04.33 23.5w 15GJ57 568 C~2nvV 2017 02 24.65166 13 47 15.177 -09 53 24.40 15GJ57 568 C~2nvV 2017 02 27.64150 13 47 07.812 -09 52 39.57 15GJ57 568 C~2nvV 2017 02 27.66186 13 47 07.739 -09 52 39.03 15GJ57 568 C~2nvV 2017 03 29.48748 13 45 24.370 -09 42 33.63 23.9w 15GJ57 568 C~2nvV 2017 03 29.50900 13 45 24.284 -09 42 33.10 23.8w 15GJ57 568 C~2nvV 2024 06 03.184050 14 14 58.363 -12 31 01.81 23.9G 15GJ57 G37 C~83DF 2024 06 03.227590 14 14 58.196 -12 31 01.20 15GJ57 G37 C~83DF 2024 06 03.276620 14 14 58.008 -12 31 00.06 15GJ57 G37 C~83DF
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 -0.01 2 0.0001 0.00 0.05 0.00 -0.06 3 0.0081 0.00 -0.06 0.00 0.04 4 0.0793 0.00 0.00 0.00 0.01 5 0.0795 0.00 -0.04 0.00 0.06 6 0.0849 0.00 0.06 0.00 0.03 7 0.1450 0.00 0.00 0.00 -0.02 8 0.1475 0.00 -0.16 0.00 0.19 9 0.1476 0.00 -0.11 0.00 0.27 10 0.1477 0.00 -0.04 0.00 0.19 11 0.1641 0.00 -0.03 0.00 0.10 12 0.1642 0.00 0.20 0.00 -0.14 13 0.2403 0.00 0.29 0.00 -0.04 14 0.2429 0.00 0.01 0.00 0.02 15 0.2652 0.00 -0.09 0.00 0.03 16 0.2654 0.00 -0.03 0.00 0.04 17 0.3964 0.00 -0.05 0.00 0.07 18 0.4046 0.00 -0.01 0.00 -0.38 19 0.9640 0.00 0.06 0.00 -0.08 20 0.9831 0.00 0.10 0.00 0.04 21 1.0625 0.00 -0.09 0.00 -0.11 22 1.1251 0.00 0.03 0.00 -0.02 23 1.1415 0.00 0.05 0.00 -0.01 24 1.2018 0.00 -0.14 0.00 0.03 25 1.2042 0.00 0.18 0.00 -0.07 26 1.2179 0.00 -0.05 0.00 -0.04 27 1.2781 0.00 0.02 0.00 0.01 28 1.2947 0.00 -0.10 0.00 -0.10 29 1.3574 0.00 -0.02 0.00 -0.07 30 1.3575 0.00 -0.17 0.00 -0.06 31 1.3848 0.00 -0.05 0.00 -0.09 32 2.0209 0.00 0.02 0.00 -0.01 33 2.0291 0.00 0.07 0.00 -0.01 34 2.0292 0.00 -0.22 0.00 0.21 35 2.1108 0.00 -0.00 0.00 0.01 36 2.1109 0.00 0.08 0.00 0.03 37 9.2914 0.00 0.23 0.00 -0.02 38 9.2915 0.00 0.02 0.00 -0.14 39 9.2916 0.00 -0.20 0.00 0.19
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.
15GJ57 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.111 43.111 43.111 ecceobj 0.032 0.032 0.032 incobj 1.328 1.328 1.328 qmin 40.744 40.715 40.759 qmax 46.195 46.220 46.199 amean 43.384 43.384 43.384 amin 43.056 43.050 43.055 amax 43.725 43.730 43.721 emean 0.040 0.040 0.040 emin 0.021 0.021 0.021 emax 0.057 0.057 0.057 imean 0.866 0.866 0.866 imin 0.367 0.367 0.367 imax 1.283 1.283 1.283 excite_mean 0.043 0.043 0.043 fracstop 1.000 1.000 1.000 cjmean 3.092 3.092 3.092 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 164.9 164.8 164.9 kozaiamp 179.9 179.9 180.0