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: 20YF36
# Created Mon Apr 28 01:11:24 2025
# Orbit generated from Bernstein formalism
# Fitting 4 observations of 4
# Arc: 33.98d
# First observation: 2020/12/16
# Last observation: 2021/01/19
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.007691 0.000000 -0.001935 0.014044 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 0.09 DOF: 3 RMS: 0.03
# Min/Max residuals: -0.04 0.04
# Exact a, adot, b, bdot, g, gdot:
7.695632E-06 6.792174E-03 -1.972910E-06 -1.889524E-03 1.386450E-02 7.457852E-03
# Covariance matrix:
1.7425E-11 1.7582E-08 -1.7676E-12 -8.1411E-10 2.9549E-09 -9.9965E-09
1.7582E-08 1.8543E-05 -1.8633E-09 -8.5821E-07 3.1149E-06 -1.0652E-05
-1.7676E-12 -1.8633E-09 9.2527E-13 7.8179E-11 -3.1301E-10 1.0591E-09
-8.1411E-10 -8.5821E-07 7.8179E-11 3.9894E-08 -1.4417E-07 4.9125E-07
2.9549E-09 3.1149E-06 -3.1301E-10 -1.4417E-07 5.2327E-07 -1.7746E-06
-9.9965E-09 -1.0652E-05 1.0591E-09 4.9125E-07 -1.7746E-06 1.8586E-05
# lat0 lon0 xBary yBary zBary JD0
7.267499 122.217572 0.599990 0.099533 -0.780687 2459199.779961
# Heliocentric elements and errors
Epoch: 2459190.5000 = 2020/12/07
Mean Anomaly: 47.97771 +/- 41.154
Argument of Peri: 18.57318 +/- 23.554
Long of Asc Node: 326.19821 +/- 11.282
Inclination: 16.94550 +/- 6.940
Eccentricity: 0.72380906 +/- 0.3607
Semi-Major Axis: 73.40051131 +/- 37.3296
Time of Perihelion: 2428579.0373 +/- 12005.1
Perihelion: 20.27255625 +/- 28.4156
Aphelion: 126.52846638 +/- 69.5841
Period (y) 628.8641 +/- 479.74
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -38.05029046 +/- 1.9899
Ecliptic Y 61.51040661 +/- 3.1583
Ecliptic Z 9.12394350 +/- 0.4761
Ecliptic XDOT -0.00193183 +/- 0.0005
Ecliptic YDOT 0.00056642 +/- 0.0011
Ecliptic ZDOT -0.00018405 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 72.90131049 +/- 2.8607
Geocenter to KBO 72.12666078 +/- 3.7632
# Hcoef: 6.82
The following table shows the complete astrometric record for 20YF36. 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 (20YF36) followed by the observatory code and reference code for the source of the astrometry.
2020 12 16.27916 08 25 14.590 +26 44 12.08 25.3r 20YF36 269 C~8njS 2020 12 17.28458 08 25 12.001 +26 44 23.46 25.2r 20YF36 269 C~8njS 2021 01 19.20586 08 23 30.701 +26 50 28.40 25.5r 20YF36 269 C~8njS 2021 01 19.25467 08 23 30.529 +26 50 28.90 25.4r 20YF36 269 C~8njS
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 0.01 0.00 -0.04
2 0.0028 -36.39 -0.01 2.82 0.04
3 0.0929 -1440.62 0.03 37.69 0.00
4 0.0930 -1442.97 -0.03 37.63 -0.01
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.
20YF36 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