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: 15GT57 # Created Sun Nov 24 02:10:18 2024 # Orbit generated from Bernstein formalism # Fitting 32 observations of 33 # Arc: 2.34y # First observation: 2015/02/17 # Last observation: 2017/06/22 Preliminary a, adot, b, bdot, g, gdot: -0.000094 0.024402 0.000004 -0.000336 0.024260 0.000000 # Chi-squared of fit: 6.55 DOF: 58 RMS: 0.08 # Min/Max residuals: -0.20 0.16 # Exact a, adot, b, bdot, g, gdot: 1.603200E-05 2.436202E-02 -2.394457E-07 -3.352185E-04 2.439404E-02 1.487043E-03 # Covariance matrix: 2.0709E-13 -1.6855E-14 -8.8557E-17 -1.0635E-15 1.3840E-13 1.7566E-12 -1.6855E-14 3.3288E-13 5.3481E-16 -4.4441E-15 1.8980E-13 7.4197E-12 -8.8557E-17 5.3481E-16 1.0722E-13 -7.1055E-14 1.7948E-16 1.5481E-14 -1.0635E-15 -4.4441E-15 -7.1055E-14 8.2336E-14 -3.4789E-15 -1.3175E-13 1.3840E-13 1.8980E-13 1.7948E-16 -3.4789E-15 2.5128E-13 5.7873E-12 1.7566E-12 7.4197E-12 1.5481E-14 -1.3175E-13 5.7873E-12 2.1993E-10 # lat0 lon0 xBary yBary zBary JD0 2.192596 -157.844776 0.795719 0.022372 -0.580632 2457071.068908 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 34.49381 +/- 0.315 Argument of Peri: 69.44858 +/- 0.383 Long of Asc Node: 92.02110 +/- 0.016 Inclination: 2.28632 +/- 0.000 Eccentricity: 0.07250355 +/- 0.0004 Semi-Major Axis: 44.14053070 +/- 0.0039 Time of Perihelion: 2446807.0491 +/- 93.6 Perihelion: 40.94018562 +/- 0.0190 Aphelion: 47.34087578 +/- 0.0191 Period (y) 293.2679 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -38.78009850 +/- 0.0008 Ecliptic Y -14.93024984 +/- 0.0003 Ecliptic Z 1.56835263 +/- 0.0000 Ecliptic XDOT 0.00087169 +/- 0.0000 Ecliptic YDOT -0.00260138 +/- 0.0000 Ecliptic ZDOT -0.00003112 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.58446982 +/- 0.0007 Geocenter to KBO 40.99362141 +/- 0.0008 # Hcoef: 8.37
The following table shows the complete astrometric record for 15GT57. 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 (15GT57) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.56813 13 25 13.687 -06 35 30.92 24.5r 15GT57 568 C~2nvX 2015 02 17.60905 13 25 13.591 -06 35 30.26 24.3r 15GT57 568 C~2nvX 2015 02 20.60184 13 25 06.497 -06 34 39.93 24.8r 15GT57 568 C~2nvX 2015 03 18.54653 13 23 39.892 -06 25 11.26 24.5r 15GT57 568 C~2nvX 2015 04 11.48481 13 21 55.013 -06 14 29.11 25.1r 15GT57 568 C~2nvX 2015 04 13.34921 13 21 46.504 -06 13 38.49 24.5r 15GT57 568 C~2nvX 2015 04 13.39016 13 21 46.313 -06 13 37.18 24.4r 15GT57 568 C~2nvX 2015 04 13.45967 13 21 45.995 -06 13 35.34 24.0r 15GT57 568 C~2nvX 2015 04 19.39003 13 21 19.017 -06 10 56.13 24.4r 15GT57 568 C~2nvX 2015 04 19.50158 13 21 18.500 -06 10 53.27 24.2r 15GT57 568 C~2nvX 2015 05 18.25525 13 19 19.649 -05 59 40.94 24.5r 15GT57 568 C~2nvX 2015 06 20.26264 13 17 58.693 -05 53 08.94 24.7r 15GT57 568 C~2nvX 2015 06 20.30355 13 17 58.637 -05 53 08.70 24.7r 15GT57 568 C~2nvX 2015 06 22.30724 13 17 56.407 -05 53 02.15 24.6r 15GT57 568 C~2nvX 2015 07 14.25857 13 17 54.553 -05 54 08.59 24.7r 15GT57 568 C~2nvX 2015 07 20.24993 13 18 01.339 -05 55 11.01 24.5r 15GT57 568 C~2nvX 2015 07 20.26062 13 18 01.343 -05 55 11.38 25.0r 15GT57 568 C~2nvX 2016 02 04.55115 13 30 46.730 -07 10 16.14 24.6w 15GT57 568 C~2nvX 2016 02 10.53908 13 30 39.107 -07 09 13.32 24.7w 15GT57 568 C~2nvX 2016 03 11.54027 13 29 18.299 -07 00 05.27 25.1w 15GT57 568 C~2nvX 2016 04 03.42104 13 27 43.225 -06 50 18.86 24.6w 15GT57 568 C~2nvX 2016 04 09.40077 13 27 16.140 -06 47 37.09 24.6w 15GT57 568 C~2nvX 2016 05 06.30476 13 25 16.683 -06 36 09.38 24.4w 15GT57 568 C~2nvX 2016 05 28.26791 13 23 57.458 -06 29 04.81 24.8w 15GT57 568 C~2nvX 2016 06 04.34936 13 23 37.981 -06 27 28.40 25.3w 15GT57 568 C~2nvX 2016 06 27.26867 13 23 01.113 -06 25 02.35 25.2w 15GT57 568 C~2nvX 2016 07 06.30443 13 22 58.598 -06 25 19.19 25.1w 15GT57 568 C~2nvX 2017 02 24.62769 13 35 20.133 -07 37 17.32 15GT57 568 C~2nvX 2017 02 24.63168 13 35 20.135 -07 37 17.16 15GT57 568 C~2nvX 2017 02 24.63851 13 35 20.112 -07 37 17.09 15GT57 568 C~2nvX 2017 03 28.56493 13 33 25.289 -07 25 13.86 24.5w 15GT57 568 C~2nvX 2017 03 29.44523 13 33 21.485 -07 24 50.81 24.4w 15GT57 568 C~2nvX 2017 06 22.26639 13 28 15.930 -06 57 10.17 24.4w 15GT57 568 C~2nvX
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 -0.05 0.00 0.00 2 0.0001 -1.57 -0.05 0.08 0.00 3 0.0083 -118.41 -0.02 7.62 0.11 4 0.0793 -1528.04 -0.04 56.47 0.00 5 0.1449 -3218.53 0.12 70.94 -0.07 6 0.1500 -3355.17 0.00 70.67 -0.16 7 0.1501 -3358.30 -0.09 70.82 0.02 8 0.1503 -3363.39 0.00 70.76 0.01 9 0.1665 -3796.17 0.09 68.65 0.02 10 0.1668 -3804.39 0.08 68.43 -0.09 11 0.2455 -5700.96 ( 0.62) 30.90 ( 0.13) 12 0.3359 -6968.96 0.09 -56.99 -0.06 13 0.3360 -6969.83 0.01 -57.08 -0.01 14 0.3415 -7003.17 0.06 -63.46 -0.07 15 0.4016 -7003.97 0.08 -135.46 0.16 16 0.4180 -6886.59 -0.15 -155.49 0.09 17 0.4180 -6886.40 -0.20 -155.81 -0.19 18 0.9637 5380.36 -0.04 -104.91 0.06 19 0.9801 5251.66 0.12 -88.27 -0.00 20 1.0622 3930.80 -0.01 -22.13 0.09 21 1.1249 2398.23 0.00 0.02 -0.04 22 1.1412 1963.55 0.02 1.15 0.07 23 1.2149 55.72 0.00 -19.16 0.04 24 1.2750 -1198.17 -0.01 -63.10 -0.05 25 1.2944 -1503.52 -0.12 -81.44 0.01 26 1.3572 -2068.01 0.05 -150.14 0.14 27 1.3819 -2096.55 0.07 -179.72 0.13 28 2.0207 9764.52 -0.09 -120.53 -0.07 29 2.0207 9764.49 0.06 -120.37 0.08 30 2.0207 9764.14 0.01 -120.43 0.01 31 2.1081 7906.96 -0.04 -72.87 -0.07 32 2.1105 7845.78 0.03 -72.18 -0.00 33 2.3428 3002.88 -0.01 -202.22 -0.15
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.
15GT57 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.711 43.724 43.698 ecceobj 0.064 0.065 0.063 incobj 2.286 2.286 2.286 qmin 40.074 39.986 40.095 qmax 48.153 48.253 48.054 amean 43.985 44.000 43.971 amin 43.633 43.644 43.630 amax 44.358 44.373 44.339 emean 0.069 0.071 0.068 emin 0.052 0.054 0.051 emax 0.086 0.088 0.084 imean 0.813 0.813 0.812 imin 0.097 0.099 0.101 imax 1.284 1.285 1.284 excite_mean 0.071 0.072 0.070 fracstop 1.000 1.000 1.000 cjmean 3.095 3.095 3.095 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 181.8 182.0 182.1 kozaiamp 180.0 180.0 180.0