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: 15GS57 # Created Wed Dec 25 02:10:17 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 27 observations of 27 # Arc: 7.19y # First observation: 2015/02/17 # Last observation: 2022/04/26 # Chi-squared of fit: 10.43 DOF: 48 RMS: 0.11 # Min/Max residuals: -0.29 0.31 # Exact a, adot, b, bdot, g, gdot: 1.481846E-05 2.006570E-02 -4.471442E-07 -2.367972E-04 2.209116E-02 1.703000E-04 # Covariance matrix: 1.8349E-13 -4.3359E-14 -2.3135E-16 3.2620E-16 9.2945E-14 -2.4185E-13 -4.3359E-14 1.5971E-13 8.5584E-16 -1.7157E-15 9.4809E-14 1.1597E-12 -2.3135E-16 8.5584E-16 8.3502E-14 -2.1606E-14 4.5148E-16 6.9740E-15 3.2620E-16 -1.7157E-15 -2.1606E-14 1.5970E-14 -1.0578E-15 -1.3887E-14 9.2945E-14 9.4809E-14 4.5148E-16 -1.0578E-15 1.8159E-13 6.9130E-13 -2.4185E-13 1.1597E-12 6.9740E-15 -1.3887E-14 6.9130E-13 9.4013E-12 # lat0 lon0 xBary yBary zBary JD0 1.734239 -158.286137 0.791219 0.017911 -0.586902 2457071.068908 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 190.15449 +/- 0.211 Argument of Peri: 281.29072 +/- 0.210 Long of Asc Node: 90.01635 +/- 0.010 Inclination: 1.82979 +/- 0.000 Eccentricity: 0.03886829 +/- 0.0001 Semi-Major Axis: 44.17138629 +/- 0.0027 Time of Perihelion: 2507660.1335 +/- 62.9 Perihelion: 42.45451994 +/- 0.0036 Aphelion: 45.88825263 +/- 0.0038 Period (y) 293.5755 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -42.87671965 +/- 0.0008 Ecliptic Y -16.22200769 +/- 0.0003 Ecliptic Z 1.36992059 +/- 0.0000 Ecliptic XDOT 0.00089598 +/- 0.0000 Ecliptic YDOT -0.00232407 +/- 0.0000 Ecliptic ZDOT -0.00002860 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.86331538 +/- 0.0008 Geocenter to KBO 45.26699371 +/- 0.0009 # Hcoef: 7.71
The following table shows the complete astrometric record for 15GS57. 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 (15GS57) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.56813 13 22 53.566 -06 51 12.90 24.1r 15GS57 568 C~2nvX 2015 02 17.60905 13 22 53.477 -06 51 12.32 24.0r 15GS57 568 C~2nvX 2015 03 18.54653 13 21 25.671 -06 41 44.11 23.8r 15GS57 568 C~2nvX 2015 03 18.58746 13 21 25.511 -06 41 43.21 23.9r 15GS57 568 C~2nvX 2015 03 20.55033 13 21 18.075 -06 40 56.82 24.2r 15GS57 568 C~2nvX 2015 04 11.48481 13 19 48.786 -06 31 52.49 24.0r 15GS57 568 C~2nvX 2015 04 13.34921 13 19 40.975 -06 31 06.01 24.0r 15GS57 568 C~2nvX 2015 04 13.39016 13 19 40.808 -06 31 04.92 24.1r 15GS57 568 C~2nvX 2015 04 13.45967 13 19 40.510 -06 31 03.07 24.8r 15GS57 568 C~2nvX 2015 06 22.30724 13 16 09.315 -06 11 35.89 24.8r 15GS57 568 C~2nvX 2015 07 20.24993 13 16 12.935 -06 13 09.03 24.1r 15GS57 568 C~2nvX 2015 07 20.26062 13 16 12.943 -06 13 09.13 24.1r 15GS57 568 C~2nvX 2016 02 04.54710 13 27 31.941 -07 20 08.99 24.6w 15GS57 568 C~2nvX 2016 02 10.53503 13 27 24.204 -07 19 10.22 24.7w 15GS57 568 C~2nvX 2016 03 11.53622 13 26 07.302 -07 10 43.43 24.6w 15GS57 568 C~2nvX 2016 04 03.42508 13 24 38.964 -07 01 41.40 24.2w 15GS57 568 C~2nvX 2016 04 09.40482 13 24 13.968 -06 59 11.87 24.3w 15GS57 568 C~2nvX 2016 05 28.26791 13 21 11.669 -06 41 53.12 24.7w 15GS57 568 C~2nvX 2016 06 04.34936 13 20 53.845 -06 40 20.67 25.0w 15GS57 568 C~2nvX 2016 06 27.26867 13 20 20.025 -06 37 51.12 24.9w 15GS57 568 C~2nvX 2016 07 06.30443 13 20 17.643 -06 37 59.98 25.2w 15GS57 568 C~2nvX 2017 03 28.56493 13 29 24.236 -07 30 48.00 24.3w 15GS57 568 C~2nvX 2017 06 21.28313 13 24 41.717 -07 04 32.26 24.7w 15GS57 568 C~2nvX 2017 07 26.25161 13 24 48.120 -07 06 38.04 15GS57 568 C~2nvX 2017 07 27.26646 13 24 49.721 -07 06 50.44 24.0w 15GS57 568 C~2nvX 2022 04 26.250880 13 49 14.225 -09 29 55.93 24.8G 15GS57 G37 C~5ZbH 2022 04 26.317070 13 49 13.980 -09 29 54.28 15GS57 G37 C~5ZbH
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 -0.07 0.00 0.09 2 0.0001 0.00 -0.03 0.00 0.06 3 0.0793 0.00 0.03 0.00 0.08 4 0.0795 0.00 -0.02 0.00 0.01 5 0.0848 0.00 -0.09 0.00 0.10 6 0.1449 0.00 -0.14 0.00 0.11 7 0.1500 0.00 0.03 0.00 -0.22 8 0.1501 0.00 0.15 0.00 -0.15 9 0.1503 0.00 0.14 0.00 -0.04 10 0.3415 0.00 0.04 0.00 -0.06 11 0.4180 0.00 0.02 0.00 0.06 12 0.4180 0.00 -0.05 0.00 0.06 13 0.9637 0.00 0.03 0.00 -0.03 14 0.9801 0.00 -0.03 0.00 0.06 15 1.0622 0.00 0.09 0.00 0.00 16 1.1249 0.00 -0.07 0.00 -0.01 17 1.1412 0.00 -0.01 0.00 -0.06 18 1.2750 0.00 0.04 0.00 -0.07 19 1.2944 0.00 -0.05 0.00 -0.05 20 1.3572 0.00 -0.09 0.00 0.22 21 1.3819 0.00 -0.09 0.00 0.01 22 2.1081 0.00 0.05 0.00 0.06 23 2.3401 0.00 0.02 0.00 -0.06 24 2.4358 0.00 0.20 0.00 0.02 25 2.4386 0.00 -0.26 0.00 -0.16 26 7.1860 0.00 -0.29 0.00 -0.04 27 7.1862 0.00 0.31 0.00 0.08
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.
15GS57 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.778 43.778 43.778 ecceobj 0.049 0.049 0.049 incobj 1.830 1.830 1.830 qmin 41.101 41.100 41.100 qmax 47.208 47.211 47.204 amean 44.048 44.048 44.048 amin 43.709 43.708 43.708 amax 44.403 44.403 44.403 emean 0.048 0.048 0.048 emin 0.032 0.032 0.032 emax 0.063 0.064 0.063 imean 0.635 0.635 0.635 imin 0.345 0.345 0.345 imax 0.878 0.878 0.877 excite_mean 0.049 0.049 0.049 fracstop 1.000 1.000 1.000 cjmean 3.099 3.099 3.099 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 184.5 184.5 184.5 kozaiamp 180.0 179.9 180.0