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: 15NQ45
# Created Mon Apr 28 01:10:31 2025
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 35.98d
# First observation: 2015/07/15
# Last observation: 2015/08/20
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.028316 -0.000002 -0.012464 0.028006 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 4.34 DOF: 19 RMS: 0.11
# Min/Max residuals: -0.22 0.25
# Exact a, adot, b, bdot, g, gdot:
1.401135E-05 2.508341E-02 -7.832838E-06 -1.209939E-02 2.719488E-02 4.476746E-03
# Covariance matrix:
6.1670E-13 4.7098E-10 -2.0036E-13 -5.3789E-11 1.2005E-10 1.3126E-08
4.7098E-10 8.8920E-07 -3.6003E-10 -9.6583E-08 2.1518E-07 2.0153E-05
-2.0036E-13 -3.6003E-10 3.6232E-13 3.6760E-11 -8.7447E-11 -8.2995E-09
-5.3789E-11 -9.6583E-08 3.6760E-11 1.0594E-08 -2.3461E-08 -2.2271E-06
1.2005E-10 2.1518E-07 -8.7447E-11 -2.3461E-08 5.2276E-08 4.9653E-06
1.3126E-08 2.0153E-05 -8.2995E-09 -2.2271E-06 4.9653E-06 4.9539E-04
# lat0 lon0 xBary yBary zBary JD0
8.215318 -17.604186 0.776083 0.094143 -0.651389 2457219.019919
# Heliocentric elements and errors
Epoch: 2457210.5000 = 2015/07/07
Mean Anomaly: 75.55117 +/- 99.600
Argument of Peri: 69.89837 +/- 36.385
Long of Asc Node: 177.56645 +/- 0.791
Inclination: 26.70308 +/- 1.098
Eccentricity: 0.14239663 +/- 0.7944
Semi-Major Axis: 38.02250884 +/- 10.9652
Time of Perihelion: 2439238.4235 +/- 22380.9
Perihelion: 32.60823169 +/- 31.6342
Aphelion: 43.43678600 +/- 32.6987
Period (y) 234.4603 +/- 101.42
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 35.07922919 +/- 0.2916
Ecliptic Y -11.94567036 +/- 0.0926
Ecliptic Z 5.25419788 +/- 0.0442
Ecliptic XDOT 0.00135256 +/- 0.0021
Ecliptic YDOT 0.00221318 +/- 0.0006
Ecliptic ZDOT -0.00114115 +/- 0.0003
# Distances at JD0 (AU)
Heliocenter to KBO 37.42803704 +/- 0.2750
Geocenter to KBO 36.77162481 +/- 0.3092
# Hcoef: 8.74
The following table shows the complete astrometric record for 15NQ45. 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 (15NQ45) followed by the observatory code and reference code for the source of the astrometry.
2015 07 15.51913 22 42 33.65 +00 41 22.1 24.5r 15NQ45 T09 C~8ncg 2015 07 15.53404 22 42 33.60 +00 41 21.6 24.4r 15NQ45 T09 C~8ncg 2015 07 15.55977 22 42 33.52 +00 41 21.2 24.7r 15NQ45 T09 C~8ncg 2015 07 15.56612 22 42 33.50 +00 41 21.2 25.1r 15NQ45 T09 C~8ncg 2015 07 21.44495 22 42 14.58 +00 39 44.3 24.1i 15NQ45 T09 C~8ncg 2015 07 21.47906 22 42 14.46 +00 39 44.0 24.5i 15NQ45 T09 C~8ncg 2015 07 21.50888 22 42 14.36 +00 39 43.1 24.3i 15NQ45 T09 C~8ncg 2015 07 21.56865 22 42 14.16 +00 39 42.1 24.2i 15NQ45 T09 C~8ncg 2015 08 20.42425 22 40 08.14 +00 26 39.8 23.9z 15NQ45 T09 C~8ncg 2015 08 20.42695 22 40 08.10 +00 26 39.6 24.1z 15NQ45 T09 C~8ncg 2015 08 20.49385 22 40 07.79 +00 26 37.5 24.2z 15NQ45 T09 C~8ncg 2015 08 20.50193 22 40 07.75 +00 26 37.1 24.0z 15NQ45 T09 C~8ncg
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 0.12 0.00 0.16
2 0.0000 -0.88 -0.04 -0.18 -0.07
3 0.0001 -2.15 -0.05 -0.09 -0.09
4 0.0001 -2.42 -0.02 0.02 -0.01
5 0.0162 -301.75 -0.10 17.96 -0.05
6 0.0163 -303.53 0.02 18.37 0.25
7 0.0164 -305.26 -0.05 18.10 -0.11
8 0.0166 -308.42 0.13 18.31 -0.08
9 0.0983 -2354.21 0.19 11.29 -0.01
10 0.0983 -2354.84 -0.22 11.33 0.04
11 0.0985 -2359.94 0.05 11.15 0.05
12 0.0985 -2360.65 -0.01 11.01 -0.07
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.
15NQ45 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