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: 15FR495 # Created Mon Apr 28 01:10:23 2025 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 10.91d # First observation: 2015/03/18 # Last observation: 2015/03/29 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.019108 0.000000 -0.000531 0.022717 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 20 iterations -- oscilliatory solution # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 7.44 DOF: 19 RMS: 0.14 # Min/Max residuals: -0.19 0.42 # Exact a, adot, b, bdot, g, gdot: 1.377926E-05 1.917871E-02 -1.115577E-07 -5.312343E-04 2.272657E-02 -1.012204E-02 # Covariance matrix: 5.7459E-11 7.8389E-08 2.5009E-13 -3.7735E-11 1.2520E-08 7.2207E-08 7.8389E-08 1.0765E-04 3.4326E-10 -5.1777E-08 1.7188E-05 9.7103E-05 2.5009E-13 3.4326E-10 3.3633E-13 -1.4013E-11 5.4814E-11 3.1568E-10 -3.7735E-11 -5.1777E-08 -1.4013E-11 9.2595E-10 -8.2685E-09 -4.8543E-08 1.2520E-08 1.7188E-05 5.4814E-11 -8.2685E-09 2.7446E-06 1.5573E-05 7.2207E-08 9.7103E-05 3.1568E-10 -4.8543E-08 1.5573E-05 2.0046E-04 # lat0 lon0 xBary yBary zBary JD0 -0.513925 179.152072 0.030564 -0.008770 -0.991651 2457100.012918 # Heliocentric elements and errors Epoch: 2457100.5000 = 2015/03/19 Mean Anomaly: 301.71473 +/- 57.172 Argument of Peri: 310.94101 +/- 62.108 Long of Asc Node: 341.41752 +/- 8.781 Inclination: 1.65288 +/- 0.796 Eccentricity: 0.46673808 +/- 0.6611 Semi-Major Axis: 46.93432130 +/- 24.6619 Time of Perihelion: 2476115.2486 +/- 11102.6 Perihelion: 25.02828632 +/- 33.7015 Aphelion: 68.84035628 +/- 47.6580 Period (y) 321.5467 +/- 253.44 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -44.98902748 +/- 3.2071 Ecliptic Y 0.69619636 +/- 0.0478 Ecliptic Z -0.39465805 +/- 0.0288 Ecliptic XDOT 0.00118218 +/- 0.0018 Ecliptic YDOT -0.00233401 +/- 0.0011 Ecliptic ZDOT -0.00005297 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.99614470 +/- 3.2065 Geocenter to KBO 44.00135353 +/- 3.2075 # Hcoef: 7.51
The following table shows the complete astrometric record for 15FR495. 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 (15FR495) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.51214 11 56 04.23 -00 08 03.3 24.2r 15FR495 T09 C~8iak 2015 03 18.53831 11 56 04.13 -00 08 02.6 24.6r 15FR495 T09 C~8iak 2015 03 20.46619 11 55 55.83 -00 07 09.2 24.0i 15FR495 T09 C~8iak 2015 03 20.48863 11 55 55.75 -00 07 09.0 23.2i 15FR495 T09 C~8iak 2015 03 20.54104 11 55 55.51 -00 07 07.2 23.5i 15FR495 T09 C~8iak 2015 03 25.45755 11 55 34.44 -00 04 51.3 24.3g 15FR495 T09 C~8iak 2015 03 25.48926 11 55 34.27 -00 04 50.8 24.8g 15FR495 T09 C~8iak 2015 03 25.54542 11 55 34.03 -00 04 49.3 24.8g 15FR495 T09 C~8iak 2015 03 29.31803 11 55 18.00 -00 03 05.6 23.1y 15FR495 T09 C~8iak 2015 03 29.38231 11 55 17.71 -00 03 04.0 23.2y 15FR495 T09 C~8iak 2015 03 29.39585 11 55 17.66 -00 03 03.6 23.4y 15FR495 T09 C~8iak 2015 03 29.42099 11 55 17.55 -00 03 03.0 23.8y 15FR495 T09 C~8iak
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 -0.09 0.00 -0.05
2 0.0001 -1.65 0.11 0.05 0.01
3 0.0053 -137.12 -0.19 -0.48 0.09
4 0.0054 -138.30 0.22 -0.77 -0.19
5 0.0056 -142.32 -0.07 -0.55 0.07
6 0.0190 -486.35 0.20 -1.57 0.42
7 0.0191 -488.89 -0.10 -2.12 -0.12
8 0.0193 -492.79 -0.02 -2.18 -0.14
9 0.0296 -754.65 0.03 -2.67 0.13
10 0.0298 -759.28 -0.09 -2.93 -0.10
11 0.0298 -760.12 0.01 -2.86 -0.02
12 0.0299 -761.88 0.03 -2.97 -0.11
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.
15FR495 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