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: 15NL45 # Created Mon Apr 28 01:10:31 2025 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 7.07d # First observation: 2015/07/15 # Last observation: 2015/07/22 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.024017 0.000000 0.001286 0.025767 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: 3.61 DOF: 25 RMS: 0.09 # Min/Max residuals: -0.16 0.19 # Exact a, adot, b, bdot, g, gdot: 1.571502E-05 2.545226E-02 8.236964E-07 1.021482E-03 2.605244E-02 4.036483E-03 # Covariance matrix: -1.3471E-11 -2.4168E-08 2.6076E-12 4.3983E-09 -4.9611E-09 1.4247E-06 -2.4168E-08 -4.2546E-05 4.5950E-09 7.7429E-06 -8.7552E-06 2.4641E-03 2.6076E-12 4.5950E-09 -2.6603E-13 -8.4931E-10 9.4469E-10 -2.6847E-07 4.3983E-09 7.7429E-06 -8.4931E-10 -1.4073E-06 1.5953E-06 -4.4296E-04 -4.9611E-09 -8.7552E-06 9.4469E-10 1.5953E-06 -1.7942E-06 5.2736E-04 1.4247E-06 2.4641E-03 -2.6847E-07 -4.4296E-04 5.2736E-04 -8.6904E-02 # lat0 lon0 xBary yBary zBary JD0 10.286735 -19.486962 0.754813 0.121961 -0.671467 2457218.953199 # Heliocentric elements and errors Epoch: 2457210.5000 = 2015/07/07 Mean Anomaly: 96.38588 +/- 315.053 Argument of Peri: 324.04483 +/- 324.045 Long of Asc Node: 263.49071 +/- 263.491 Inclination: 10.41434 +/- 10.414 Eccentricity: 0.14194945 +/- 0.1419 Semi-Major Axis: 37.73664863 +/- 37.7366 Time of Perihelion: 2434540.3535 +/- 9999999.9 Perihelion: 32.37995219 +/- 32.8200 Aphelion: 43.09334507 +/- 43.4250 Period (y) 231.8212 +/- 347.73 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.99205116 +/- 35.9921 Ecliptic Y -13.53778948 +/- -13.5378 Ecliptic Z 6.85451455 +/- 6.8545 Ecliptic XDOT 0.00126540 +/- 0.0013 Ecliptic YDOT 0.00238244 +/- 0.0024 Ecliptic ZDOT 0.00018143 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 39.06000333 +/- 33.5169 Geocenter to KBO 38.38412754 +/- 38.3841 # Hcoef: 9.00
The following table shows the complete astrometric record for 15NL45. 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 (15NL45) followed by the observatory code and reference code for the source of the astrometry.
2015 07 15.45241 22 32 32.94 +01 54 25.0 25.0r 15NL45 T09 C~8ncg 2015 07 15.46726 22 32 32.89 +01 54 25.0 25.1r 15NL45 T09 C~8ncg 2015 07 15.47587 22 32 32.87 +01 54 25.0 25.4r 15NL45 T09 C~8ncg 2015 07 15.51059 22 32 32.75 +01 54 24.7 25.2r 15NL45 T09 C~8ncg 2015 07 15.52482 22 32 32.71 +01 54 24.7 25.0r 15NL45 T09 C~8ncg 2015 07 15.55122 22 32 32.62 +01 54 24.4 24.8r 15NL45 T09 C~8ncg 2015 07 21.45521 22 32 12.53 +01 53 39.6 24.9i 15NL45 T09 C~8ncg 2015 07 21.48716 22 32 12.42 +01 53 39.1 24.4i 15NL45 T09 C~8ncg 2015 07 21.51429 22 32 12.32 +01 53 39.1 24.9i 15NL45 T09 C~8ncg 2015 07 21.60639 22 32 11.99 +01 53 38.1 24.6i 15NL45 T09 C~8ncg 2015 07 22.42468 22 32 09.04 +01 53 30.2 24.8z 15NL45 T09 C~8ncg 2015 07 22.44360 22 32 08.97 +01 53 29.9 24.8z 15NL45 T09 C~8ncg 2015 07 22.45439 22 32 08.92 +01 53 29.9 24.5z 15NL45 T09 C~8ncg 2015 07 22.51928 22 32 08.70 +01 53 29.2 24.5z 15NL45 T09 C~8ncg 2015 07 22.52270 22 32 08.68 +01 53 29.2 24.2z 15NL45 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 -0.06 0.00 -0.04
2 0.0000 -0.69 -0.04 0.28 0.05
3 0.0001 -0.97 0.09 0.39 0.04
4 0.0002 -2.75 -0.03 0.79 -0.01
5 0.0002 -3.31 0.10 1.02 0.02
6 0.0003 -4.67 0.00 1.24 -0.09
7 0.0164 -300.66 -0.16 72.73 0.15
8 0.0165 -302.38 -0.14 72.88 -0.08
9 0.0166 -303.77 -0.04 73.45 0.16
10 0.0168 -308.73 0.04 74.38 -0.02
11 0.0191 -352.69 0.03 83.65 0.02
12 0.0191 -353.77 -0.00 83.76 -0.09
13 0.0192 -354.47 -0.10 84.05 0.06
14 0.0193 -357.79 0.19 84.63 -0.11
15 0.0194 -358.06 0.11 84.75 -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.
15NL45 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