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: 15FD399 # Created Tue Apr 1 01:10:21 2025 # Orbit generated from Bernstein formalism # Fitting 18 observations of 18 # Arc: 1.06y # First observation: 2015/03/18 # Last observation: 2016/04/08 Preliminary a, adot, b, bdot, g, gdot: 0.000002 0.022154 -0.000000 0.000215 0.023341 0.000000 # Chi-squared of fit: 6.60 DOF: 30 RMS: 0.11 # Min/Max residuals: -0.32 0.25 # Exact a, adot, b, bdot, g, gdot: 1.517169E-05 2.213646E-02 -1.132481E-07 2.148798E-04 2.331467E-02 -9.653622E-04 # Covariance matrix: 4.5320E-13 3.3269E-12 -5.6641E-16 3.8829E-14 3.5269E-12 1.6953E-10 3.3269E-12 1.2029E-10 -2.3267E-14 1.5387E-12 5.4831E-11 6.7012E-09 -5.6641E-16 -2.3267E-14 1.5144E-13 -1.4721E-13 -9.5991E-15 -1.3126E-12 3.8829E-14 1.5387E-12 -1.4721E-13 3.2864E-13 6.4803E-13 8.6637E-11 3.5269E-12 5.4831E-11 -9.5991E-15 6.4803E-13 4.3754E-11 2.8264E-09 1.6953E-10 6.7012E-09 -1.3126E-12 8.6637E-11 2.8264E-09 3.7727E-07 # lat0 lon0 xBary yBary zBary JD0 -0.121775 -177.255130 0.092800 -0.001974 -0.987808 2457100.004173 # Heliocentric elements and errors Epoch: 2457100.5000 = 2015/03/19 Mean Anomaly: 283.16089 +/- 2.794 Argument of Peri: 69.85310 +/- 5.688 Long of Asc Node: 194.68374 +/- 0.029 Inclination: 0.56957 +/- 0.001 Eccentricity: 0.04494050 +/- 0.0275 Semi-Major Axis: 44.24923671 +/- 0.1007 Time of Perihelion: 2480048.0824 +/- 830.7 Perihelion: 42.26065401 +/- 1.2213 Aphelion: 46.23781941 +/- 1.2220 Period (y) 294.3519 +/- 1.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -43.83636303 +/- 0.0122 Ecliptic Y -2.00883845 +/- 0.0006 Ecliptic Z -0.09114657 +/- 0.0000 Ecliptic XDOT 0.00023425 +/- 0.0001 Ecliptic YDOT -0.00259686 +/- 0.0000 Ecliptic ZDOT 0.00002556 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.88246191 +/- 0.0121 Geocenter to KBO 42.89145655 +/- 0.0122 # Hcoef: 7.57
The following table shows the complete astrometric record for 15FD399. 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 (15FD399) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.503395 12 09 52.865 -01 12 11.67 23.7r 15FD399 568 C~2TuI 2015 03 18.560149 12 09 52.617 -01 12 10.03 23.6r 15FD399 568 C~2TuI 2015 03 18.562309 12 09 52.607 -01 12 10.03 23.6r 15FD399 568 C~2TuI 2015 03 25.445947 12 09 22.991 -01 08 56.82 24.6g 15FD399 568 C~2TuI 2015 03 25.480615 12 09 22.837 -01 08 55.86 24.5g 15FD399 568 C~2TuI 2015 03 25.536863 12 09 22.590 -01 08 54.28 24.7g 15FD399 568 C~2TuI 2015 03 25.539020 12 09 22.579 -01 08 54.25 24.7g 15FD399 568 C~2TuI 2015 03 29.27183 12 09 06.54 -01 07 09.7 23.2y 15FD399 T09 C~8iaa 2015 03 29.29096 12 09 06.46 -01 07 08.8 23.2y 15FD399 T09 C~8iaa 2015 03 29.33172 12 09 06.29 -01 07 07.8 23.7y 15FD399 T09 C~8iaa 2016 04 02.40651 12 13 27.27 -01 34 32.6 23.5i 15FD399 T09 C~8eRZ 2016 04 02.45821 12 13 27.04 -01 34 31.3 23.5i 15FD399 T09 C~8eRZ 2016 04 02.48014 12 13 26.93 -01 34 30.7 23.4i 15FD399 T09 C~8eRZ 2016 04 04.33458 12 13 19.10 -01 33 39.5 24.7g 15FD399 T09 C~8eRZ 2016 04 04.38088 12 13 18.90 -01 33 38.3 24.9g 15FD399 T09 C~8eRZ 2016 04 08.50164 12 13 01.67 -01 31 46.2 24.0r 15FD399 T09 C~8eRZ 2016 04 08.51580 12 13 01.63 -01 31 45.6 23.9r 15FD399 T09 C~8eRZ 2016 04 08.52214 12 13 01.60 -01 31 45.4 23.8r 15FD399 T09 C~8eRZ
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 -0.03 0.00 0.05
2 0.0002 -4.06 -0.06 0.03 0.10
3 0.0002 -4.20 -0.05 -0.03 0.04
4 0.0190 -488.55 0.12 0.75 0.04
5 0.0191 -491.05 0.10 0.71 0.01
6 0.0193 -495.08 0.09 0.69 0.01
7 0.0193 -495.25 0.09 0.65 -0.03
8 0.0295 -757.52 -0.07 0.98 -0.28
9 0.0295 -758.98 -0.18 1.33 0.07
10 0.0296 -761.72 -0.02 1.23 -0.01
11 1.0429 3483.57 0.10 46.60 0.25
12 1.0430 3479.89 0.07 46.42 0.09
13 1.0431 3478.13 -0.14 46.32 -0.01
14 1.0481 3350.01 -0.04 46.69 0.03
15 1.0483 3346.78 -0.03 46.60 -0.04
16 1.0595 3065.09 -0.09 46.89 -0.32
17 1.0596 3064.30 0.09 47.21 -0.00
18 1.0596 3063.81 0.03 47.21 0.01
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.
15FD399 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.844 44.256 43.732 ecceobj 0.044 0.119 0.027 incobj 0.572 0.572 0.572 qmin 41.419 38.522 42.036 qmax 46.885 50.809 45.982 amean 44.061 44.493 43.944 amin 43.720 44.106 43.600 amax 44.420 44.899 44.295 emean 0.041 0.114 0.024 emin 0.024 0.090 0.007 emax 0.056 0.132 0.039 imean 2.106 2.287 2.084 imin 1.437 1.327 1.415 imax 2.679 3.036 2.659 excite_mean 0.055 0.121 0.044 fracstop 1.000 1.000 1.000 cjmean 3.099 3.090 3.099 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 172.1 180.4 171.2 kozaiamp 180.0 180.0 179.9