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: 20UX73 # Created Wed May 8 01:18:36 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 2.11y # First observation: 2019/08/28 # Last observation: 2021/10/07 Preliminary a, adot, b, bdot, g, gdot: 0.000013 0.028380 0.000048 -0.014031 0.029231 0.000000 # Chi-squared of fit: 1.49 DOF: 18 RMS: 0.06 # Min/Max residuals: -0.09 0.14 # Exact a, adot, b, bdot, g, gdot: 1.494098E-05 2.824360E-02 -8.029453E-06 -1.396609E-02 2.899699E-02 -1.364023E-03 # Covariance matrix: 6.8479E-13 -4.6870E-13 -3.3600E-14 1.2346E-13 1.6214E-13 -3.8925E-12 -4.6870E-13 8.6772E-12 1.1645E-12 -4.3475E-12 9.6224E-12 1.3713E-10 -3.3600E-14 1.1645E-12 7.0767E-13 -8.9867E-13 1.2964E-12 1.8942E-11 1.2346E-13 -4.3475E-12 -8.9867E-13 2.4509E-12 -4.8453E-12 -7.0704E-11 1.6214E-13 9.6224E-12 1.2964E-12 -4.8453E-12 1.1876E-11 1.5283E-10 -3.8925E-12 1.3713E-10 1.8942E-11 -7.0704E-11 1.5283E-10 2.2301E-09 # lat0 lon0 xBary yBary zBary JD0 -0.216897 -8.586249 0.289214 -0.003638 -0.962081 2458723.711696 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 325.63958 +/- 0.682 Argument of Peri: 220.40294 +/- 0.837 Long of Asc Node: 170.50812 +/- 0.000 Inclination: 26.31135 +/- 0.001 Eccentricity: 0.07937697 +/- 0.0011 Semi-Major Axis: 37.85011144 +/- 0.0160 Time of Perihelion: 2466838.6131 +/- 161.1 Perihelion: 34.84568412 +/- 0.0446 Aphelion: 40.85453876 +/- 0.0455 Period (y) 232.8675 +/- 0.15 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.01052083 +/- 0.0041 Ecliptic Y -5.58540878 +/- 0.0006 Ecliptic Z -0.13082453 +/- 0.0000 Ecliptic XDOT 0.00027432 +/- 0.0000 Ecliptic YDOT 0.00265736 +/- 0.0000 Ecliptic ZDOT -0.00131838 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.45349736 +/- 0.0040 Geocenter to KBO 34.48634232 +/- 0.0041 # Hcoef: 9.60
The following table shows the complete astrometric record for 20UX73. 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 (20UX73) followed by the observatory code and reference code for the source of the astrometry.
2019 08 28.210895 23 28 47.662 -03 36 14.38 25.0r 20UX73 W84 C~7XOP 2019 08 28.388381 23 28 46.786 -03 36 21.62 25.0r 20UX73 W84 C~7XOP 2020 10 17.010669 23 31 56.627 -04 15 19.91 25.0r 20UX73 W84 C~7XOP 2020 10 17.174574 23 31 55.932 -04 15 25.52 25.0r 20UX73 W84 C~7XOP 2020 10 18.012125 23 31 52.494 -04 15 53.88 25.1r 20UX73 W84 C~7XOP 2020 10 18.176134 23 31 51.808 -04 15 59.44 25.1r 20UX73 W84 C~7XOP 2021 09 09.073508 23 42 18.443 -03 55 49.85 24.9r 20UX73 W84 C~7XOQ 2021 09 09.192572 23 42 17.824 -03 55 54.87 24.9r 20UX73 W84 C~7XOQ 2021 10 06.002765 23 40 03.038 -04 14 06.81 25.0r 20UX73 W84 C~7XOQ 2021 10 06.167954 23 40 02.240 -04 14 13.12 25.0r 20UX73 W84 C~7XOQ 2021 10 07.004805 23 39 58.267 -04 14 44.94 25.0r 20UX73 W84 C~7XOQ 2021 10 07.169933 23 39 57.453 -04 14 51.26 25.0r 20UX73 W84 C~7XOQ
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 0.10 0.00 0.09
2 0.0005 -14.91 -0.08 -1.49 -0.07
3 1.1384 1673.25 -0.02 -3271.24 0.02
4 1.1388 1661.48 -0.02 -3272.29 -0.01
5 1.1411 1603.02 0.02 -3278.03 -0.00
6 1.1416 1591.39 -0.00 -3279.09 -0.04
7 2.0338 10691.26 0.07 -5890.15 0.05
8 2.0342 10680.73 -0.09 -5891.06 0.06
9 2.1076 8390.48 -0.06 -6090.45 -0.04
10 2.1080 8376.99 0.04 -6091.50 -0.07
11 2.1103 8309.68 0.14 -6097.06 -0.02
12 2.1108 8295.96 -0.09 -6098.02 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.
20UX73 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 37.868 37.889 37.848 ecceobj 0.082 0.083 0.082 incobj 26.262 26.263 26.261 qmin 33.526 33.585 33.368 qmax 42.359 42.238 42.506 amean 37.822 37.835 37.809 amin 37.524 37.524 37.514 amax 38.144 38.144 38.123 emean 0.088 0.087 0.090 emin 0.063 0.064 0.061 emax 0.111 0.109 0.116 imean 26.135 26.143 26.128 imin 25.215 25.267 25.190 imax 26.964 26.929 26.998 excite_mean 0.449 0.449 0.450 fracstop 1.000 1.000 1.000 cjmean 2.800 2.800 2.800 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 183.9 187.4 179.6 kozaiamp 180.0 179.8 179.9