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: 17ED58 # Created Wed Nov 27 02:10:50 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 42.02d # First observation: 2017/01/23 # Last observation: 2017/03/06 Preliminary a, adot, b, bdot, g, gdot: -0.000004 0.031251 0.000001 -0.003449 0.027716 0.000000 # Chi-squared of fit: 5.21 DOF: 20 RMS: 0.11 # Min/Max residuals: -0.19 0.27 # Exact a, adot, b, bdot, g, gdot: 1.672610E-05 2.979855E-02 -1.545295E-06 -3.370689E-03 2.755630E-02 1.031879E-03 # Covariance matrix: 8.7042E-13 2.6510E-10 2.5074E-13 -1.7087E-11 5.0979E-11 2.5631E-09 2.6510E-10 5.2156E-07 4.3623E-10 -3.1156E-08 8.1714E-08 -1.3260E-06 2.5074E-13 4.3623E-10 7.0381E-13 -2.9189E-11 6.8950E-11 -8.9215E-10 -1.7087E-11 -3.1156E-08 -2.9189E-11 1.9059E-09 -4.9058E-09 7.0454E-08 5.0979E-11 8.1714E-08 6.8950E-11 -4.9058E-09 1.3006E-08 -1.3420E-07 2.5631E-09 -1.3260E-06 -8.9215E-10 7.0454E-08 -1.3420E-07 3.0003E-05 # lat0 lon0 xBary yBary zBary JD0 -18.720350 134.491906 0.196976 -0.309887 -0.915042 2457776.823691 # Heliocentric elements and errors Epoch: 2457770.5000 = 2017/01/17 Mean Anomaly: 10.75421 +/- 72.801 Argument of Peri: 236.91678 +/- 94.592 Long of Asc Node: 244.47068 +/- 0.366 Inclination: 19.36241 +/- 0.044 Eccentricity: 0.12231921 +/- 0.0515 Semi-Major Axis: 42.25633937 +/- 1.6229 Time of Perihelion: 2454773.3253 +/- 20288.7 Perihelion: 37.08757751 +/- 2.6014 Aphelion: 47.42510122 +/- 2.8383 Period (y) 274.6920 +/- 15.82 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -24.62672062 +/- 0.0997 Ecliptic Y 25.34014960 +/- 0.1015 Ecliptic Z -11.64713190 +/- 0.0482 Ecliptic XDOT -0.00210186 +/- 0.0003 Ecliptic YDOT -0.00208894 +/- 0.0004 Ecliptic ZDOT -0.00035014 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 37.20556722 +/- 0.0967 Geocenter to KBO 36.28934860 +/- 0.1502 # Hcoef: 9.37
The following table shows the complete astrometric record for 17ED58. 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 (17ED58) followed by the observatory code and reference code for the source of the astrometry.
2017 01 23.32289 08 46 24.49 -01 28 26.3 25.3r 17ED58 T09 C~8Fyg 2017 01 23.34393 08 46 24.37 -01 28 25.8 25.0r 17ED58 T09 C~8Fyg 2017 01 28.33957 08 45 57.74 -01 27 05.8 25.7g 17ED58 T09 C~8Fyg 2017 01 28.35144 08 45 57.66 -01 27 05.8 25.5g 17ED58 T09 C~8Fyg 2017 01 28.37257 08 45 57.56 -01 27 05.5 26.0g 17ED58 T09 C~8Fyg 2017 03 06.26785 08 42 56.29 -01 11 02.3 24.3i 17ED58 T09 C~8Fyg 2017 03 06.28141 08 42 56.22 -01 11 01.9 24.7i 17ED58 T09 C~8Fyg 2017 03 06.29493 08 42 56.18 -01 11 01.3 25.1i 17ED58 T09 C~8Fyg 2017 03 06.30580 08 42 56.14 -01 11 00.9 25.0i 17ED58 T09 C~8Fyg 2017 03 06.32245 08 42 56.06 -01 11 00.6 24.3i 17ED58 T09 C~8Fyg 2017 03 06.33361 08 42 56.01 -01 11 00.3 24.8i 17ED58 T09 C~8Fyg 2017 03 06.33932 08 42 56.00 -01 10 59.7 25.0i 17ED58 T09 C~8Fyg 2017 03 06.34763 08 42 55.95 -01 10 59.7 24.5i 17ED58 T09 C~8Fyg
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 0.08 0.00 -0.08 2 0.0001 -1.87 -0.08 -0.02 0.08 3 0.0137 -407.66 0.03 -34.56 0.18 4 0.0138 -408.81 -0.13 -34.89 -0.09 5 0.0138 -410.33 0.10 -35.02 -0.09 6 0.1148 -3289.74 0.06 131.36 -0.04 7 0.1149 -3290.86 -0.14 131.45 -0.13 8 0.1149 -3291.60 0.05 131.86 0.09 9 0.1149 -3292.29 0.10 132.08 0.16 10 0.1150 -3293.53 0.01 132.03 -0.11 11 0.1150 -3294.33 -0.03 132.11 -0.19 12 0.1150 -3294.64 0.05 132.64 0.27 13 0.1151 -3295.36 -0.10 132.43 -0.05
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.