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: 22FG12 # Created Fri Mar 29 01:19:47 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 3.23y # First observation: 2020/01/30 # Last observation: 2023/04/24 Preliminary a, adot, b, bdot, g, gdot: -0.000010 0.024083 -0.000017 0.009580 0.024330 0.000000 # Chi-squared of fit: 25.79 DOF: 20 RMS: 0.25 # Min/Max residuals: -0.58 0.42 # Exact a, adot, b, bdot, g, gdot: 1.551128E-05 2.403776E-02 4.521507E-06 9.328559E-03 2.541888E-02 -2.924345E-03 # Covariance matrix: 2.8920E-13 -1.3615E-13 1.0080E-14 -7.0859E-14 2.5738E-13 -2.5931E-12 -1.3615E-13 1.1734E-11 2.3646E-13 -1.9338E-12 4.2790E-11 -6.1791E-11 1.0080E-14 2.3646E-13 2.9176E-13 -2.1743E-13 1.1855E-12 -3.7175E-12 -7.0859E-14 -1.9338E-12 -2.1743E-13 8.7391E-13 -9.3479E-12 2.7711E-11 2.5738E-13 4.2790E-11 1.1855E-12 -9.3479E-12 1.6757E-10 -3.0855E-10 -2.5931E-12 -6.1791E-11 -3.7175E-12 2.7711E-11 -3.0855E-10 9.6189E-10 # lat0 lon0 xBary yBary zBary JD0 0.156960 -160.625443 0.932533 0.000958 -0.341997 2458878.829001 # Heliocentric elements and errors Epoch: 2458870.5000 = 2020/01/22 Mean Anomaly: 297.48734 +/- 0.371 Argument of Peri: 78.84507 +/- 0.605 Long of Asc Node: 197.64102 +/- 0.001 Inclination: 21.26743 +/- 0.004 Eccentricity: 0.14554557 +/- 0.0009 Semi-Major Axis: 41.73642037 +/- 0.0716 Time of Perihelion: 2475972.0982 +/- 91.6 Perihelion: 35.66186937 +/- 0.0714 Aphelion: 47.81097136 +/- 0.0899 Period (y) 269.6379 +/- 0.69 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -37.74057096 +/- 0.0189 Ecliptic Y -12.29265116 +/- 0.0066 Ecliptic Z 0.10790010 +/- 0.0001 Ecliptic XDOT 0.00116693 +/- 0.0000 Ecliptic YDOT -0.00233479 +/- 0.0000 Ecliptic ZDOT 0.00100368 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.69221097 +/- 0.0181 Geocenter to KBO 39.34083335 +/- 0.0200 # Hcoef: 8.19
The following table shows the complete astrometric record for 22FG12. 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 (22FG12) followed by the observatory code and reference code for the source of the astrometry.
2020 01 30.32820 13 11 45.99 -07 26 15.2 24.3R 22FG12 W93 C~5aiY 2020 01 30.35785 13 11 45.95 -07 26 15.0 24.4R 22FG12 W93 C~5aiY 2020 02 01.30091 13 11 43.94 -07 25 51.9 23.6R 22FG12 W93 C~5aiY 2020 02 01.33465 13 11 43.89 -07 25 50.7 23.7R 22FG12 W93 C~5aiY 2020 02 01.36539 13 11 43.88 -07 25 50.3 23.4R 22FG12 W93 C~5aiY 2022 03 26.14496 13 21 05.50 -07 06 13.1 24.0R 22FG12 W93 C~5aiY 2022 03 26.18023 13 21 05.38 -07 06 12.3 23.8R 22FG12 W93 C~5aiY 2022 03 26.21168 13 21 05.20 -07 06 11.0 23.8R 22FG12 W93 C~5aiY 2022 03 28.14190 13 20 56.48 -07 05 05.9 23.9R 22FG12 W93 C~5aiY 2022 03 28.17563 13 20 56.37 -07 05 05.1 23.6R 22FG12 W93 C~5aiY 2022 03 28.21163 13 20 56.19 -07 05 04.2 24.1R 22FG12 W93 C~5aiY 2023 04 24.192390 13 24 58.662 -06 50 49.52 23.6G 22FG12 G37 C~6hd9 2023 04 24.252030 13 24 58.402 -06 50 47.72 22FG12 G37 C~6hd9
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 0.26 2 0.0001 -0.63 -0.19 -0.04 0.08 3 0.0054 -37.04 0.24 10.03 -0.58 4 0.0055 -38.18 -0.18 10.86 0.08 5 0.0056 -38.47 0.19 11.17 0.24 6 2.1514 7266.14 -0.36 4246.75 -0.03 7 2.1515 7264.18 0.35 4246.82 -0.15 8 2.1516 7261.21 -0.25 4247.02 -0.12 9 2.1569 7116.28 -0.34 4258.86 0.17 10 2.1570 7114.46 0.42 4258.99 0.12 11 2.1571 7111.63 0.35 4258.82 -0.25 12 3.2303 10150.63 -0.24 6402.66 0.10 13 3.2305 10146.35 0.13 6402.89 0.07
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.
22FG12 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.465 41.672 41.261 ecceobj 0.141 0.138 0.143 incobj 21.339 21.352 21.327 qmin 35.290 35.546 35.019 qmax 48.420 48.604 48.252 amean 41.697 41.921 41.470 amin 41.375 41.565 41.106 amax 42.081 42.302 41.866 emean 0.134 0.133 0.135 emin 0.117 0.117 0.118 emax 0.152 0.150 0.153 imean 21.888 21.870 21.902 imin 21.213 21.268 21.223 imax 22.480 22.442 22.551 excite_mean 0.396 0.395 0.397 fracstop 1.000 1.000 1.000 cjmean 2.886 2.888 2.884 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 177.7 176.9 178.3 kozaiamp 179.9 180.0 180.0