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: 17CA58 # Created Wed Jul 17 01:11:30 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 11.20d # First observation: 2017/01/21 # Last observation: 2017/02/01 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.020547 0.000001 -0.006586 0.020635 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 6.85 DOF: 21 RMS: 0.13 # Min/Max residuals: -0.19 0.28 # Exact a, adot, b, bdot, g, gdot: 1.486953E-05 1.826891E-02 -4.847338E-06 -6.777902E-03 2.023128E-02 2.366036E-03 # Covariance matrix: 3.4171E-12 4.2368E-09 4.5289E-13 3.7836E-10 7.1311E-10 3.5668E-09 4.2368E-09 5.8370E-06 6.2142E-10 5.2006E-07 9.7906E-07 3.7619E-06 4.5289E-13 6.2142E-10 3.8671E-13 4.3670E-11 1.0430E-10 5.0976E-10 3.7836E-10 5.2006E-07 4.3670E-11 4.7007E-08 8.7220E-08 2.9401E-07 7.1311E-10 9.7906E-07 1.0430E-10 8.7220E-08 1.6428E-07 7.1612E-07 3.5668E-09 3.7619E-06 5.0976E-10 2.9401E-07 7.1612E-07 1.6936E-04 # lat0 lon0 xBary yBary zBary JD0 -13.732191 147.080664 0.433613 -0.210011 -0.860201 2457774.875481 # Heliocentric elements and errors Epoch: 2457770.5000 = 2017/01/17 Mean Anomaly: 21.64342 +/- 90.587 Argument of Peri: 179.79766 +/- 160.486 Long of Asc Node: 294.58484 +/- 4.184 Inclination: 24.36330 +/- 2.519 Eccentricity: 0.22881835 +/- 0.5081 Semi-Major Axis: 63.06023454 +/- 21.6392 Time of Perihelion: 2446773.9825 +/- 45675.7 Perihelion: 48.63089570 +/- 36.1284 Aphelion: 77.48957339 +/- 41.6395 Period (y) 500.7738 +/- 257.76 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -40.81731697 +/- 0.8075 Ecliptic Y 26.93489887 +/- 0.5228 Ecliptic Z -11.73377705 +/- 0.2351 Ecliptic XDOT -0.00141910 +/- 0.0015 Ecliptic YDOT -0.00203133 +/- 0.0009 Ecliptic ZDOT -0.00096709 +/- 0.0004 # Distances at JD0 (AU) Heliocenter to KBO 50.29138759 +/- 0.7148 Geocenter to KBO 49.42840197 +/- 0.9903 # Hcoef: 8.00
The following table shows the complete astrometric record for 17CA58. 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 (17CA58) followed by the observatory code and reference code for the source of the astrometry.
2017 01 21.37468 09 38 32.05 -00 26 48.8 24.6z 17CA58 T09 C~85Iv 2017 01 21.38272 09 38 32.02 -00 26 48.8 25.2z 17CA58 T09 C~85Iv 2017 01 21.40149 09 38 31.96 -00 26 48.4 25.2z 17CA58 T09 C~85Iv 2017 01 21.40956 09 38 31.95 -00 26 48.4 24.5z 17CA58 T09 C~85Iv 2017 01 28.38578 09 38 05.31 -00 25 44.7 24.7g 17CA58 T09 C~85Iv 2017 01 28.39348 09 38 05.26 -00 25 44.6 24.8g 17CA58 T09 C~85Iv 2017 01 28.40405 09 38 05.23 -00 25 44.6 25.2g 17CA58 T09 C~85Iv 2017 02 01.47870 09 37 49.19 -00 24 57.7 25.1i 17CA58 T09 C~85Iv 2017 02 01.50891 09 37 49.06 -00 24 57.3 24.7i 17CA58 T09 C~85Iv 2017 02 01.51997 09 37 49.03 -00 24 57.2 25.0i 17CA58 T09 C~85Iv 2017 02 01.55002 09 37 48.91 -00 24 56.8 24.5i 17CA58 T09 C~85Iv 2017 02 01.57494 09 37 48.81 -00 24 56.8 25.0i 17CA58 T09 C~85Iv 2017 02 01.57762 09 37 48.80 -00 24 56.7 25.5i 17CA58 T09 C~85Iv
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 -0.12 0.00 -0.09
2 0.0000 -0.42 -0.10 -0.15 -0.15
3 0.0001 -1.41 -0.03 -0.07 0.15
4 0.0001 -1.55 0.28 -0.12 0.19
5 0.0192 -399.47 0.09 -73.51 -0.02
6 0.0192 -400.21 -0.19 -73.67 -0.10
7 0.0192 -400.64 0.01 -73.82 -0.15
8 0.0304 -643.08 -0.07 -109.96 0.08
9 0.0305 -645.05 -0.19 -110.23 0.07
10 0.0305 -645.51 0.02 -110.29 0.11
11 0.0306 -647.34 0.03 -110.51 0.14
12 0.0307 -648.75 0.14 -111.01 -0.15
13 0.0307 -648.93 0.13 -110.97 -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.