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: 15NR45
# Created Mon Apr 28 01:10:31 2025
# Orbit generated from Bernstein formalism
# Fitting 10 observations of 10
# Arc: 7.05d
# First observation: 2015/07/15
# Last observation: 2015/07/22
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.042453 0.000001 0.016902 0.035293 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 3.83 DOF: 15 RMS: 0.11
# Min/Max residuals: -0.30 0.20
# Exact a, adot, b, bdot, g, gdot:
1.725845E-05 3.604954E-02 9.741330E-06 1.768335E-02 3.377812E-02 -2.338417E-03
# Covariance matrix:
1.0626E-11 2.2529E-08 -1.4620E-12 -2.9567E-09 5.1093E-09 5.6202E-08
2.2529E-08 4.9492E-05 -3.2086E-09 -6.4907E-06 1.1212E-05 1.2023E-04
-1.4620E-12 -3.2086E-09 5.5916E-13 4.0102E-10 -7.2696E-10 -7.8372E-09
-2.9567E-09 -6.4907E-06 4.0102E-10 8.5358E-07 -1.4701E-06 -1.4770E-05
5.1093E-09 1.1212E-05 -7.2696E-10 -1.4701E-06 2.5408E-06 2.8374E-05
5.6202E-08 1.2023E-04 -7.8372E-09 -1.4770E-05 2.8374E-05 2.7625E-03
# lat0 lon0 xBary yBary zBary JD0
7.763603 -19.862504 0.750489 0.092924 -0.680894 2457218.938919
# Heliocentric elements and errors
Epoch: 2457210.5000 = 2015/07/07
Mean Anomaly: 320.49600 +/- 355.250
Argument of Peri: 65.69151 +/- 137.964
Long of Asc Node: 323.81317 +/- 3.697
Inclination: 27.39972 +/- 5.606
Eccentricity: 0.11704809 +/- 0.9917
Semi-Major Axis: 33.07056135 +/- 6.2602
Time of Perihelion: 2464833.0330 +/- 68513.5
Perihelion: 29.19971534 +/- 33.2573
Aphelion: 36.94140736 +/- 33.5320
Period (y) 190.1825 +/- 54.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 27.97657028 +/- 1.3019
Ecliptic Y -10.90563054 +/- 0.4704
Ecliptic Z 3.99956728 +/- 0.1887
Ecliptic XDOT 0.00063177 +/- 0.0040
Ecliptic YDOT 0.00287144 +/- 0.0014
Ecliptic ZDOT 0.00139463 +/- 0.0005
# Distances at JD0 (AU)
Heliocenter to KBO 30.29220693 +/- 1.2145
Geocenter to KBO 29.60496050 +/- 1.3971
# Hcoef: 10.23
The following table shows the complete astrometric record for 15NR45. 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 (15NR45) followed by the observatory code and reference code for the source of the astrometry.
2015 07 15.43813 22 34 57.28 -00 34 17.0 25.0r 15NR45 T09 C~8ncg 2015 07 15.48255 22 34 57.08 -00 34 16.6 25.7r 15NR45 T09 C~8ncg 2015 07 15.49985 22 34 57.01 -00 34 16.8 25.7r 15NR45 T09 C~8ncg 2015 07 15.54268 22 34 56.83 -00 34 16.8 25.5r 15NR45 T09 C~8ncg 2015 07 21.43097 22 34 30.49 -00 34 41.6 24.9i 15NR45 T09 C~8ncg 2015 07 21.47095 22 34 30.29 -00 34 41.8 24.7i 15NR45 T09 C~8ncg 2015 07 21.56054 22 34 29.85 -00 34 42.5 24.6i 15NR45 T09 C~8ncg 2015 07 22.41099 22 34 25.82 -00 34 47.9 24.4z 15NR45 T09 C~8ncg 2015 07 22.47062 22 34 25.52 -00 34 48.6 24.6z 15NR45 T09 C~8ncg 2015 07 22.48953 22 34 25.43 -00 34 48.7 24.4z 15NR45 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 -0.08 0.00 -0.30
2 0.0001 -2.63 -0.02 1.49 0.20
3 0.0002 -3.68 -0.01 1.70 0.02
4 0.0003 -6.18 0.10 2.71 0.08
5 0.0164 -381.85 0.10 127.52 -0.03
6 0.0165 -384.71 0.02 128.46 0.05
7 0.0168 -391.09 -0.11 130.28 -0.04
8 0.0191 -449.17 0.12 147.88 0.14
9 0.0193 -453.60 -0.10 148.92 -0.07
10 0.0193 -454.89 -0.04 149.33 -0.06
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.
15NR45 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