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: 20PD95 # Created Mon Nov 11 02:11:07 2024 # Orbit generated from Bernstein formalism # Fitting 6 observations of 6 # Arc: 2.18d # First observation: 2020/08/13 # Last observation: 2020/08/15 # WARNING Fitting with energy constraint # WARNING and with gdot fixed = 0 # Chi-squared of fit: 0.14 DOF: 8 RMS: 0.03 # Min/Max residuals: -0.05 0.05 # Exact a, adot, b, bdot, g, gdot: 1.129192E-05 9.795059E-03 -2.123647E-06 -2.010645E-03 1.362325E-02 0.000000E+00 # Covariance matrix: 1.8383E-11 1.5241E-08 4.3062E-13 4.0573E-10 3.0740E-09 0.0000E+00 1.5241E-08 1.3015E-05 3.6525E-10 3.4437E-07 2.6084E-06 0.0000E+00 4.3062E-13 3.6525E-10 3.6319E-13 -4.9508E-11 7.3396E-11 0.0000E+00 4.0573E-10 3.4437E-07 -4.9508E-11 4.1579E-08 6.9181E-08 0.0000E+00 3.0740E-09 2.6084E-06 7.3396E-11 6.9181E-08 5.2407E-07 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 3.3271E-05 # lat0 lon0 xBary yBary zBary JD0 2.011235 -74.015665 -0.572909 0.028827 -0.824638 2459074.744121 # Heliocentric elements and errors Epoch: 2459070.5000 = 2020/08/09 Mean Anomaly: 16.53163 +/- 329.736 Argument of Peri: 152.87965 +/- 35.706 Long of Asc Node: 116.04956 +/- 4.014 Inclination: 11.73782 +/- 4.697 Eccentricity: 0.02271157 +/- 0.5555 Semi-Major Axis: 75.88779323 +/- 38.9890 Time of Perihelion: 2447982.0870 +/- 945526.9 Perihelion: 74.16426240 +/- 56.8228 Aphelion: 77.61132406 +/- 58.0253 Period (y) 661.0984 +/- 509.48 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 20.98553378 +/- 1.0732 Ecliptic Y -71.16443513 +/- 3.7476 Ecliptic Z 2.57604702 +/- 0.1369 Ecliptic XDOT 0.00190402 +/- 0.0007 Ecliptic YDOT 0.00053293 +/- 0.0011 Ecliptic ZDOT -0.00040405 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 74.23884073 +/- 3.6052 Geocenter to KBO 73.40394272 +/- 3.9006 # Hcoef: 7.81
The following table shows the complete astrometric record for 20PD95. 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 (20PD95) followed by the observatory code and reference code for the source of the astrometry.
2020 08 13.24332 19 08 20.293 -20 29 06.16 27.5r 20PD95 266 C~6c5k 2020 08 13.33331 19 08 20.076 -20 29 06.66 27.5r 20PD95 266 C~6c5k 2020 08 13.42301 19 08 19.861 -20 29 07.15 27.5r 20PD95 266 C~6c5k 2020 08 15.24331 19 08 15.672 -20 29 18.08 25.4r 20PD95 266 C~6c5k 2020 08 15.33985 19 08 15.447 -20 29 18.61 25.4r 20PD95 266 C~6c5k 2020 08 15.42111 19 08 15.258 -20 29 19.04 25.4r 20PD95 266 C~6c5k
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 0.02 0.00 -0.04 2 0.0002 -3.09 -0.01 -0.14 0.00 3 0.0005 -6.14 -0.01 -0.27 0.05 4 0.0055 -65.88 0.01 -4.25 -0.05 5 0.0057 -69.08 -0.00 -4.41 -0.00 6 0.0060 -71.77 -0.00 -4.52 0.04
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.
20PD95 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0