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: 15NP45
# Created Mon Apr 28 01:10:31 2025
# Orbit generated from Bernstein formalism
# Fitting 17 observations of 17
# Arc: 35.98d
# First observation: 2015/07/15
# Last observation: 2015/08/20
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.030706 -0.000003 0.000753 0.026759 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 4.83 DOF: 29 RMS: 0.09
# Min/Max residuals: -0.18 0.17
# Exact a, adot, b, bdot, g, gdot:
1.626103E-05 2.762094E-02 3.149319E-07 9.770013E-04 2.598884E-02 -2.447162E-03
# Covariance matrix:
3.8371E-13 9.9022E-11 -1.1178E-13 -6.7860E-12 2.8124E-11 4.2053E-09
9.9022E-11 2.5979E-07 -2.0496E-10 -1.9560E-08 6.1048E-08 5.6176E-06
-1.1178E-13 -2.0496E-10 3.3961E-13 1.3237E-11 -4.8984E-11 -4.8079E-09
-6.7860E-12 -1.9560E-08 1.3237E-11 1.5255E-09 -4.5764E-09 -4.1338E-07
2.8124E-11 6.1048E-08 -4.8984E-11 -4.5764E-09 1.4459E-08 1.3715E-06
4.2053E-09 5.6176E-06 -4.8079E-09 -4.1338E-07 1.3715E-06 1.4514E-04
# lat0 lon0 xBary yBary zBary JD0
8.246039 -18.089955 0.770476 0.095433 -0.657827 2457219.019919
# Heliocentric elements and errors
Epoch: 2457210.5000 = 2015/07/07
Mean Anomaly: 325.47391 +/- 78.136
Argument of Peri: 122.25980 +/- 124.844
Long of Asc Node: 265.90912 +/- 0.542
Inclination: 8.39300 +/- 0.022
Eccentricity: 0.16472802 +/- 0.3273
Semi-Major Axis: 44.73129971 +/- 3.4901
Time of Perihelion: 2467690.4838 +/- 23685.5
Perihelion: 37.36280123 +/- 14.9277
Aphelion: 52.09979818 +/- 15.1942
Period (y) 299.1751 +/- 35.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 36.58729467 +/- 0.1675
Ecliptic Y -12.76277516 +/- 0.0547
Ecliptic Z 5.51875245 +/- 0.0255
Ecliptic XDOT 0.00064468 +/- 0.0012
Ecliptic YDOT 0.00284348 +/- 0.0004
Ecliptic ZDOT 0.00006495 +/- 0.0002
# Distances at JD0 (AU)
Heliocenter to KBO 39.14045464 +/- 0.1576
Geocenter to KBO 38.47806131 +/- 0.1780
# Hcoef: 8.21
The following table shows the complete astrometric record for 15NP45. 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 (15NP45) followed by the observatory code and reference code for the source of the astrometry.
2015 07 15.51913 22 40 44.06 +00 32 09.1 24.5r 15NP45 T09 C~8ncg 2015 07 15.52981 22 40 44.01 +00 32 08.9 24.0r 15NP45 T09 C~8ncg 2015 07 15.54692 22 40 43.98 +00 32 08.9 24.1r 15NP45 T09 C~8ncg 2015 07 15.56189 22 40 43.92 +00 32 08.6 24.3r 15NP45 T09 C~8ncg 2015 07 21.44495 22 40 25.32 +00 31 18.2 24.1i 15NP45 T09 C~8ncg 2015 07 21.47369 22 40 25.23 +00 31 17.8 24.0i 15NP45 T09 C~8ncg 2015 07 21.48177 22 40 25.21 +00 31 17.8 24.0i 15NP45 T09 C~8ncg 2015 07 21.60101 22 40 24.79 +00 31 16.5 24.2i 15NP45 T09 C~8ncg 2015 07 23.44334 22 40 18.49 +00 30 56.7 24.0y 15NP45 T09 C~8ncg 2015 07 23.53441 22 40 18.17 +00 30 55.7 23.6y 15NP45 T09 C~8ncg 2015 07 23.62253 22 40 17.86 +00 30 54.5 23.6y 15NP45 T09 C~8ncg 2015 08 20.41812 22 38 22.23 +00 22 26.2 23.8z 15NP45 T09 C~8ncg 2015 08 20.42695 22 38 22.20 +00 22 26.1 24.1z 15NP45 T09 C~8ncg 2015 08 20.43235 22 38 22.16 +00 22 25.9 23.7z 15NP45 T09 C~8ncg 2015 08 20.45122 22 38 22.08 +00 22 25.2 23.9z 15NP45 T09 C~8ncg 2015 08 20.49385 22 38 21.87 +00 22 24.2 23.5z 15NP45 T09 C~8ncg 2015 08 20.50193 22 38 21.84 +00 22 24.2 24.1z 15NP45 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 0.11 0.00 0.06
2 0.0000 -0.77 -0.18 0.10 0.04
3 0.0001 -1.19 0.17 0.27 0.02
4 0.0001 -2.13 -0.10 0.33 -0.08
5 0.0162 -279.46 -0.11 59.17 0.05
6 0.0163 -280.87 -0.03 59.31 -0.10
7 0.0163 -281.14 0.11 59.42 -0.06
8 0.0167 -287.47 -0.03 60.60 -0.08
9 0.0217 -382.43 -0.04 78.01 0.12
10 0.0219 -387.26 0.04 78.89 0.12
11 0.0222 -392.01 0.04 79.54 -0.09
12 0.0983 -2189.91 -0.04 264.91 0.04
13 0.0983 -2190.37 0.17 264.99 0.08
14 0.0983 -2191.00 -0.06 265.03 0.10
15 0.0984 -2192.37 -0.02 264.84 -0.17
16 0.0985 -2195.67 -0.12 265.11 -0.10
17 0.0985 -2196.09 0.07 265.28 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.
15NP45 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