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: 15FR399 # Created Tue Sep 2 01:10:34 2025 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 10.94d # First observation: 2015/03/18 # Last observation: 2015/03/29 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.024560 -0.000000 0.000467 0.022477 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 3.22 DOF: 25 RMS: 0.08 # Min/Max residuals: -0.16 0.18 # Exact a, adot, b, bdot, g, gdot: 1.468208E-05 2.013219E-02 1.392190E-07 4.699878E-04 2.177503E-02 -6.741857E-04 # Covariance matrix: 2.3677E-11 3.1889E-08 1.4075E-13 -2.0633E-11 5.0633E-09 -1.7737E-08 3.1889E-08 4.3549E-05 1.9244E-10 -2.8348E-08 6.9056E-06 -3.7016E-05 1.4075E-13 1.9244E-10 2.2722E-13 -9.1483E-12 3.0503E-11 -1.8569E-10 -2.0633E-11 -2.8348E-08 -9.1483E-12 6.5254E-10 -4.4873E-09 3.8281E-08 5.0633E-09 6.9056E-06 3.0503E-11 -4.4873E-09 1.0953E-06 -5.3046E-06 -1.7737E-08 -3.7016E-05 -1.8569E-10 3.8281E-08 -5.3046E-06 1.0523E-03 # lat0 lon0 xBary yBary zBary JD0 -0.924593 179.637803 0.039838 -0.015867 -0.991223 2457099.963227 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 305.87662 +/- 62.958 Argument of Peri: 23.79583 +/- 232.191 Long of Asc Node: 213.66801 +/- 8.936 Inclination: 1.61478 +/- 0.374 Eccentricity: 0.03967149 +/- 1.4654 Semi-Major Axis: 47.98356956 +/- 24.7864 Time of Perihelion: 2475342.8866 +/- 385187.6 Perihelion: 46.07998974 +/- 74.2343 Aphelion: 49.88714938 +/- 74.8881 Period (y) 332.3893 +/- 257.55 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -46.91147369 +/- 2.2069 Ecliptic Y 0.33613569 +/- 0.0141 Ecliptic Z -0.74103406 +/- 0.0356 Ecliptic XDOT 0.00006438 +/- 0.0041 Ecliptic YDOT -0.00253754 +/- 0.0007 Ecliptic ZDOT 0.00006054 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 46.91853026 +/- 2.2066 Geocenter to KBO 45.92416330 +/- 2.2073 # Hcoef: 7.71
The following table shows the complete astrometric record for 15FR399. 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 (15FR399) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.462449 11 57 11.976 -00 42 15.21 24.2r 15FR399 568 C~2TuI 2015 03 18.499087 11 57 11.824 -00 42 14.27 24.3r 15FR399 568 C~2TuI 2015 03 18.538296 11 57 11.664 -00 42 13.27 24.2r 15FR399 568 C~2TuI 2015 03 18.568755 11 57 11.538 -00 42 12.47 24.2r 15FR399 568 C~2TuI 2015 03 20.405567 11 57 04.124 -00 41 23.75 23.7i 15FR399 568 C~2TuI 2015 03 20.488617 11 57 03.782 -00 41 21.53 24.0i 15FR399 568 C~2TuI 2015 03 20.541032 11 57 03.565 -00 41 20.16 24.0i 15FR399 568 C~2TuI 2015 03 25.44011 11 56 43.79 -00 39 09.9 25.2g 15FR399 T09 C~90HW 2015 03 25.47635 11 56 43.65 -00 39 09.0 25.5g 15FR399 T09 C~90HW 2015 03 25.54542 11 56 43.37 -00 39 07.0 25.2g 15FR399 T09 C~90HW 2015 03 29.33718 11 56 28.19 -00 37 26.7 24.4y 15FR399 T09 C~90HW 2015 03 29.39585 11 56 27.97 -00 37 25.2 23.8y 15FR399 T09 C~90HW 2015 03 29.39858 11 56 27.94 -00 37 25.2 23.6y 15FR399 T09 C~90HW 2015 03 29.40401 11 56 27.92 -00 37 25.2 23.6y 15FR399 T09 C~90HW 2015 03 29.40670 11 56 27.92 -00 37 25.2 24.2y 15FR399 T09 C~90HW
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 0.0001 -2.47 -0.02 -0.04 0.01
3 0.0002 -5.07 0.01 -0.08 -0.02
4 0.0003 -7.12 -0.00 -0.10 -0.04
5 0.0053 -128.52 0.02 0.36 -0.03
6 0.0055 -134.11 0.01 0.36 -0.01
7 0.0057 -137.64 0.00 0.32 -0.04
8 0.0191 -461.59 -0.09 1.84 0.02
9 0.0192 -463.87 0.05 1.83 0.02
10 0.0194 -468.52 0.02 1.99 0.18
11 0.0298 -717.32 -0.14 3.43 0.08
12 0.0299 -720.94 0.12 3.50 0.14
13 0.0299 -721.36 -0.11 3.32 -0.04
14 0.0300 -721.63 -0.02 3.20 -0.16
15 0.0300 -721.63 0.15 3.20 -0.16
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.
15FR399 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