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: 15NA46
# Created Wed May 21 01:10:33 2025
# Orbit generated from Bernstein formalism
# Fitting 11 observations of 11
# Arc: 7.05d
# First observation: 2015/07/15
# Last observation: 2015/07/22
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.029221 -0.000000 -0.012223 0.028200 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 2.49 DOF: 17 RMS: 0.08
# Min/Max residuals: -0.18 0.14
# Exact a, adot, b, bdot, g, gdot:
1.485921E-05 2.575679E-02 -6.846263E-06 -1.165699E-02 2.739282E-02 5.359333E-03
# Covariance matrix:
3.9184E-12 6.6314E-09 -6.6521E-13 -1.0581E-09 1.4698E-09 4.6995E-09
6.6314E-09 1.2341E-05 -1.2334E-09 -1.9625E-06 2.7255E-06 6.0064E-06
-6.6521E-13 -1.2334E-09 4.5398E-13 1.7590E-10 -2.7252E-10 -8.2606E-10
-1.0581E-09 -1.9625E-06 1.7590E-10 3.1421E-07 -4.3351E-07 -1.0872E-06
1.4698E-09 2.7255E-06 -2.7252E-10 -4.3351E-07 6.0214E-07 1.7118E-06
4.6995E-09 6.0064E-06 -8.2606E-10 -1.0872E-06 1.7118E-06 1.0251E-03
# lat0 lon0 xBary yBary zBary JD0
9.833342 -21.255597 0.733492 0.120548 -0.694941 2457218.944659
# Heliocentric elements and errors
Epoch: 2457210.5000 = 2015/07/07
Mean Anomaly: 68.37399 +/- 103.480
Argument of Peri: 69.25624 +/- 50.827
Long of Asc Node: 178.13609 +/- 1.782
Inclination: 25.84836 +/- 1.910
Eccentricity: 0.17389528 +/- 1.1418
Semi-Major Axis: 38.58181866 +/- 18.2019
Time of Perihelion: 2440585.5301 +/- 22240.9
Perihelion: 31.87262242 +/- 46.5475
Aphelion: 45.29101490 +/- 48.9604
Period (y) 239.6527 +/- 169.59
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 33.91087503 +/- 0.9496
Ecliptic Y -13.97911779 +/- 0.3694
Ecliptic Z 6.23440082 +/- 0.1766
Ecliptic XDOT 0.00160832 +/- 0.0029
Ecliptic YDOT 0.00212945 +/- 0.0012
Ecliptic ZDOT -0.00105643 +/- 0.0005
# Distances at JD0 (AU)
Heliocenter to KBO 37.20525410 +/- 0.8771
Geocenter to KBO 36.50591890 +/- 1.0341
# Hcoef: 9.81
The following table shows the complete astrometric record for 15NA46. 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 (15NA46) followed by the observatory code and reference code for the source of the astrometry.
2015 07 15.44387 22 26 45.64 +00 50 12.2 25.5r 15NA46 T09 C~8r6s 2015 07 15.46937 22 26 45.55 +00 50 11.7 25.5r 15NA46 T09 C~8r6s 2015 07 15.50409 22 26 45.44 +00 50 11.2 25.4r 15NA46 T09 C~8r6s 2015 07 15.50847 22 26 45.42 +00 50 11.4 25.5r 15NA46 T09 C~8r6s 2015 07 20.42844 22 26 28.17 +00 48 52.9 25.1i 15NA46 T09 C~8r6s 2015 07 20.45033 22 26 28.10 +00 48 52.6 25.4i 15NA46 T09 C~8r6s 2015 07 20.51051 22 26 27.88 +00 48 51.6 24.7i 15NA46 T09 C~8r6s 2015 07 20.52971 22 26 27.80 +00 48 51.3 25.1i 15NA46 T09 C~8r6s 2015 07 22.43822 22 26 20.69 +00 48 16.7 25.6z 15NA46 T09 C~8r6s 2015 07 22.45708 22 26 20.62 +00 48 16.3 26.1z 15NA46 T09 C~8r6s 2015 07 22.49493 22 26 20.46 +00 48 15.7 25.5z 15NA46 T09 C~8r6s
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 0.00 0.00 0.02
2 0.0001 -1.44 -0.09 0.04 -0.08
3 0.0002 -3.16 0.03 0.18 -0.13
4 0.0002 -3.36 0.06 0.48 0.14
5 0.0136 -272.75 -0.18 23.50 0.02
6 0.0137 -273.84 0.01 23.61 0.03
7 0.0139 -277.27 0.12 23.91 0.04
8 0.0139 -278.50 0.02 24.07 0.12
9 0.0191 -390.36 0.04 31.48 -0.06
10 0.0192 -391.49 0.06 31.50 -0.13
11 0.0193 -393.94 -0.08 31.83 0.04
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.
15NA46 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