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: 17CZ57 # Created Wed Jul 17 01:11:29 2024 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 11.25d # First observation: 2017/01/21 # Last observation: 2017/02/01 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.042477 0.000000 0.012229 0.031178 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 16.64 DOF: 27 RMS: 0.18 # Min/Max residuals: -0.38 0.57 # Exact a, adot, b, bdot, g, gdot: 1.904377E-05 3.758150E-02 6.207107E-06 1.180932E-02 3.031724E-02 4.751630E-03 # Covariance matrix: 2.0583E-12 3.6556E-09 2.7086E-13 3.0457E-10 6.1791E-10 9.5704E-09 3.6556E-09 7.5209E-06 5.5505E-10 6.2432E-07 1.2662E-06 1.7227E-05 2.7086E-13 5.5505E-10 3.0617E-13 3.6671E-11 9.3496E-11 1.3324E-09 3.0457E-10 6.2432E-07 3.6671E-11 5.2355E-08 1.0515E-07 1.4820E-06 6.1791E-10 1.2662E-06 9.3496E-11 1.0515E-07 2.1328E-07 3.0438E-06 9.5704E-09 1.7227E-05 1.3324E-09 1.4820E-06 3.0438E-06 2.3780E-04 # lat0 lon0 xBary yBary zBary JD0 -13.108841 146.510778 0.424827 -0.201604 -0.866572 2457774.872781 # Heliocentric elements and errors Epoch: 2457770.5000 = 2017/01/17 Mean Anomaly: 5.96600 +/- 18.449 Argument of Peri: 303.31490 +/- 62.531 Long of Asc Node: 181.33923 +/- 1.620 Inclination: 21.28744 +/- 0.780 Eccentricity: 0.48073751 +/- 0.2730 Semi-Major Axis: 64.02120766 +/- 26.1043 Time of Perihelion: 2454669.7642 +/- 9398.9 Perihelion: 33.24381198 +/- 22.1176 Aphelion: 94.79860334 +/- 42.4212 Period (y) 512.2642 +/- 313.31 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -27.30322276 +/- 0.4081 Ecliptic Y 18.56658622 +/- 0.2700 Ecliptic Z -7.48077957 +/- 0.1140 Ecliptic XDOT -0.00242012 +/- 0.0012 Ecliptic YDOT -0.00247309 +/- 0.0007 Ecliptic ZDOT 0.00094129 +/- 0.0003 # Distances at JD0 (AU) Heliocenter to KBO 33.85478046 +/- 0.3618 Geocenter to KBO 32.98453240 +/- 0.5025 # Hcoef: 9.72
The following table shows the complete astrometric record for 17CZ57. 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 (17CZ57) followed by the observatory code and reference code for the source of the astrometry.
2017 01 21.37198 09 37 16.39 +00 19 31.5 24.4z 17CZ57 T09 C~85Iv 2017 01 21.38540 09 37 16.35 +00 19 31.6 25.1z 17CZ57 T09 C~85Iv 2017 01 21.39346 09 37 16.28 +00 19 32.1 24.3z 17CZ57 T09 C~85Iv 2017 01 21.40419 09 37 16.20 +00 19 32.5 24.5z 17CZ57 T09 C~85Iv 2017 01 21.41223 09 37 16.16 +00 19 32.5 24.9z 17CZ57 T09 C~85Iv 2017 01 28.39139 09 36 40.60 +00 22 20.5 26.3g 17CZ57 T09 C~85Iv 2017 01 28.40405 09 36 40.53 +00 22 20.7 25.6g 17CZ57 T09 C~85Iv 2017 01 28.41673 09 36 40.48 +00 22 21.3 25.3g 17CZ57 T09 C~85Iv 2017 02 01.47870 09 36 19.04 +00 24 12.6 25.1i 17CZ57 T09 C~85Iv 2017 02 01.48410 09 36 19.03 +00 24 12.9 25.0i 17CZ57 T09 C~85Iv 2017 02 01.51446 09 36 18.84 +00 24 13.9 25.3i 17CZ57 T09 C~85Iv 2017 02 01.51997 09 36 18.83 +00 24 13.7 24.6i 17CZ57 T09 C~85Iv 2017 02 01.52538 09 36 18.80 +00 24 14.1 24.4i 17CZ57 T09 C~85Iv 2017 02 01.55545 09 36 18.64 +00 24 14.9 24.2i 17CZ57 T09 C~85Iv 2017 02 01.62394 09 36 18.27 +00 24 17.1 24.8i 17CZ57 T09 C~85Iv 2017 02 01.62661 09 36 18.25 +00 24 16.9 24.6i 17CZ57 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 -0.01
2 0.0000 -0.60 0.57 -0.10 -0.06
3 0.0001 -1.76 0.05 0.02 0.10
4 0.0001 -3.02 -0.38 -0.00 0.13
5 0.0001 -3.59 -0.31 -0.20 -0.03
6 0.0192 -562.50 -0.10 -18.66 -0.14
7 0.0193 -563.56 -0.09 -18.82 -0.28
8 0.0193 -564.47 0.07 -18.50 0.06
9 0.0304 -904.78 -0.09 -20.19 -0.14
10 0.0304 -905.02 0.13 -19.95 0.09
11 0.0305 -908.04 -0.27 -19.96 0.09
12 0.0305 -908.11 0.13 -20.19 -0.15
13 0.0305 -908.67 0.04 -19.97 0.08
14 0.0306 -911.20 0.10 -20.01 0.04
15 0.0308 -917.17 0.01 -19.77 0.26
16 0.0308 -917.38 0.03 -20.06 -0.03
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.