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: 15FG399 # Created Tue Apr 1 01:10:21 2025 # Orbit generated from Bernstein formalism # Fitting 22 observations of 22 # Arc: 65.88d # First observation: 2015/03/18 # Last observation: 2015/05/23 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.039757 0.000001 0.004178 0.030202 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 7.47 DOF: 39 RMS: 0.10 # Min/Max residuals: -0.30 0.28 # Exact a, adot, b, bdot, g, gdot: 1.688534E-05 3.033601E-02 2.176515E-06 4.271618E-03 2.870586E-02 -3.774728E-03 # Covariance matrix: 7.5742E-13 1.2096E-09 1.3214E-13 -1.3218E-11 1.8585E-10 -1.2161E-08 1.2096E-09 2.6207E-06 2.9223E-10 -2.9254E-08 3.9910E-07 -2.7107E-05 1.3214E-13 2.9223E-10 1.3231E-13 -3.9323E-12 4.4459E-11 -3.0328E-09 -1.3218E-11 -2.9254E-08 -3.9323E-12 3.4092E-10 -4.4506E-09 3.0365E-07 1.8585E-10 3.9910E-07 4.4459E-11 -4.4506E-09 6.0804E-08 -4.1226E-06 -1.2161E-08 -2.7107E-05 -3.0328E-09 3.0365E-07 -4.1226E-06 2.8167E-04 # lat0 lon0 xBary yBary zBary JD0 -0.314935 179.907822 0.044253 -0.005320 -0.991152 2457099.977925 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 300.51784 +/- 20.950 Argument of Peri: 71.43158 +/- 36.061 Long of Asc Node: 182.01297 +/- 0.121 Inclination: 8.00916 +/- 0.444 Eccentricity: 0.13303149 +/- 0.5702 Semi-Major Axis: 37.84364547 +/- 8.4589 Time of Perihelion: 2471140.3627 +/- 1515.6 Perihelion: 32.80924910 +/- 22.7910 Aphelion: 42.87804184 +/- 23.6115 Period (y) 232.8079 +/- 78.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -35.82974323 +/- 0.2992 Ecliptic Y 0.10173736 +/- 0.0005 Ecliptic Z -0.19138860 +/- 0.0017 Ecliptic XDOT 0.00034970 +/- 0.0016 Ecliptic YDOT -0.00289967 +/- 0.0001 Ecliptic ZDOT 0.00040947 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.83039882 +/- 0.2992 Geocenter to KBO 34.83609492 +/- 0.2992 # Hcoef: 8.93
The following table shows the complete astrometric record for 15FG399. 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 (15FG399) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.477147 11 59 09.637 -00 15 08.21 24.0r 15FG399 568 C~2TuI 2015 03 18.499087 11 59 09.526 -00 15 07.48 24.1r 15FG399 568 C~2TuI 2015 03 18.509963 11 59 09.465 -00 15 07.07 24.0r 15FG399 568 C~2TuI 2015 03 18.538296 11 59 09.319 -00 15 06.05 24.1r 15FG399 568 C~2TuI 2015 03 18.566581 11 59 09.173 -00 15 05.04 24.2r 15FG399 568 C~2TuI 2015 03 20.423112 11 58 59.641 -00 13 58.11 23.9i 15FG399 568 C~2TuI 2015 03 20.463417 11 58 59.429 -00 13 56.63 23.9i 15FG399 568 C~2TuI 2015 03 20.488617 11 58 59.298 -00 13 55.78 23.9i 15FG399 568 C~2TuI 2015 03 20.502393 11 58 59.222 -00 13 55.28 24.0i 15FG399 568 C~2TuI 2015 03 25.45464 11 58 33.78 -00 10 56.8 25.2g 15FG399 T09 C~8eRZ 2015 03 25.47635 11 58 33.67 -00 10 56.0 24.5g 15FG399 T09 C~8eRZ 2015 03 25.51534 11 58 33.46 -00 10 54.6 24.8g 15FG399 T09 C~8eRZ 2015 03 25.54330 11 58 33.31 -00 10 53.6 24.9g 15FG399 T09 C~8eRZ 2015 03 25.55185 11 58 33.28 -00 10 53.1 25.2g 15FG399 T09 C~8eRZ 2015 03 29.29907 11 58 14.21 -00 08 39.1 24.6y 15FG399 T09 C~8iaa 2015 03 29.31803 11 58 14.08 -00 08 38.2 24.9y 15FG399 T09 C~8iaa 2015 03 29.33718 11 58 14.00 -00 08 37.9 24.1y 15FG399 T09 C~8iaa 2015 05 23.27714 11 54 48.01 +00 16 21.7 24.1z 15FG399 T09 C~8iaa 2015 05 23.29468 11 54 47.98 +00 16 22.0 24.4z 15FG399 T09 C~8iaa 2015 05 23.31221 11 54 47.96 +00 16 22.2 24.4z 15FG399 T09 C~8iaa 2015 05 23.33848 11 54 47.90 +00 16 22.2 24.6z 15FG399 T09 C~8iaa 2015 05 23.35297 11 54 47.88 +00 16 22.8 24.4z 15FG399 T09 C~8iaa
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 -0.04 0.00 0.04
2 0.0001 -1.82 0.04 0.01 0.00
3 0.0001 -2.82 -0.02 0.02 -0.00
4 0.0002 -5.24 0.00 0.08 0.01
5 0.0002 -7.65 0.03 0.14 0.01
6 0.0053 -165.45 0.03 4.67 0.05
7 0.0054 -168.96 0.01 4.77 0.07
8 0.0055 -171.10 0.05 4.76 0.02
9 0.0055 -172.34 -0.00 4.77 -0.00
10 0.0191 -593.48 -0.03 16.71 -0.04
11 0.0192 -595.31 0.01 16.79 -0.00
12 0.0193 -598.75 -0.09 16.82 -0.04
13 0.0193 -601.22 -0.15 16.85 -0.08
14 0.0194 -601.83 -0.03 17.13 0.19
15 0.0296 -917.58 0.28 26.28 -0.01
16 0.0297 -919.73 -0.26 26.33 -0.00
17 0.0297 -920.95 0.15 26.13 -0.24
18 0.1802 -4352.97 -0.08 172.88 0.03
19 0.1802 -4353.50 -0.08 172.98 0.09
20 0.1802 -4353.86 0.10 173.04 0.12
21 0.1803 -4354.68 0.07 172.68 -0.30
22 0.1804 -4355.20 -0.00 173.11 0.10
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.
15FG399 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