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: 15ND45
# Created Mon Apr 28 01:10:31 2025
# Orbit generated from Bernstein formalism
# Fitting 14 observations of 14
# Arc: 8.07d
# First observation: 2015/07/15
# Last observation: 2015/07/23
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.024730 -0.000000 0.003484 0.024445 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 8.13 DOF: 23 RMS: 0.13
# Min/Max residuals: -0.19 0.47
# Exact a, adot, b, bdot, g, gdot:
1.524765E-05 2.235946E-02 2.457803E-06 3.797170E-03 2.387152E-02 1.494179E-03
# Covariance matrix:
6.8489E-12 1.0034E-08 -9.6680E-13 -1.3942E-09 2.2538E-09 -1.2736E-08
1.0034E-08 1.5816E-05 -1.5206E-09 -2.1921E-06 3.5456E-06 -1.6881E-05
-9.6680E-13 -1.5206E-09 6.0217E-13 1.8829E-10 -3.4085E-10 1.7957E-09
-1.3942E-09 -2.1921E-06 1.8829E-10 3.0524E-07 -4.9159E-07 1.9870E-06
2.2538E-09 3.5456E-06 -3.4085E-10 -4.9159E-07 7.9452E-07 -4.7557E-06
-1.2736E-08 -1.6881E-05 1.7957E-09 1.9870E-06 -4.7557E-06 -2.4766E-03
# lat0 lon0 xBary yBary zBary JD0
8.226514 -19.569857 0.753677 0.097923 -0.676658 2457218.965919
# Heliocentric elements and errors
Epoch: 2457210.5000 = 2015/07/07
Mean Anomaly: 116.82955 +/- 315.078
Argument of Peri: 277.52777 +/- 277.528
Long of Asc Node: 300.24090 +/- 8.919
Inclination: 12.69120 +/- 2.345
Eccentricity: 0.05526944 +/- 0.0553
Semi-Major Axis: 41.43949873 +/- 41.4395
Time of Perihelion: 2425589.8807 +/- 9999999.9
Perihelion: 39.14916086 +/- 39.2161
Aphelion: 43.72983661 +/- 43.7898
Period (y) 266.7657 +/- 400.15
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 39.45339927 +/- 1.4586
Ecliptic Y -14.82606623 +/- 0.5186
Ecliptic Z 5.99420614 +/- 0.2238
Ecliptic XDOT 0.00095779 +/- 0.0010
Ecliptic YDOT 0.00237407 +/- 0.0024
Ecliptic ZDOT 0.00045560 +/- 0.0005
# Distances at JD0 (AU)
Heliocenter to KBO 42.57127507 +/- 1.3642
Geocenter to KBO 41.89093139 +/- 1.5642
# Hcoef: 8.17
The following table shows the complete astrometric record for 15ND45. 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 (15ND45) followed by the observatory code and reference code for the source of the astrometry.
2015 07 15.46513 22 35 20.17 -00 02 01.1 25.4r 15ND45 T09 C~8ncf 2015 07 15.50197 22 35 20.06 -00 02 01.3 25.0r 15ND45 T09 C~8ncf 2015 07 15.54268 22 35 19.95 -00 02 01.5 25.0r 15ND45 T09 C~8ncf 2015 07 22.41099 22 34 58.19 -00 02 55.7 24.2z 15ND45 T09 C~8ncf 2015 07 22.43280 22 34 58.10 -00 02 55.9 24.4z 15ND45 T09 C~8ncf 2015 07 22.45169 22 34 58.06 -00 02 56.1 24.4z 15ND45 T09 C~8ncf 2015 07 22.47062 22 34 57.97 -00 02 56.4 24.5z 15ND45 T09 C~8ncf 2015 07 22.51114 22 34 57.83 -00 02 56.7 24.6z 15ND45 T09 C~8ncf 2015 07 23.41460 22 34 54.77 -00 03 05.6 23.9y 15ND45 T09 C~8ncf 2015 07 23.44064 22 34 54.71 -00 03 05.6 23.7y 15ND45 T09 C~8ncf 2015 07 23.46338 22 34 54.61 -00 03 06.1 24.2y 15ND45 T09 C~8ncf 2015 07 23.48514 22 34 54.52 -00 03 06.3 23.8y 15ND45 T09 C~8ncf 2015 07 23.50977 22 34 54.43 -00 03 06.6 23.3y 15ND45 T09 C~8ncf 2015 07 23.53710 22 34 54.33 -00 03 06.8 23.9y 15ND45 T09 C~8ncf
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 -0.09 0.00 0.01
2 0.0001 -1.60 -0.06 0.43 0.03
3 0.0002 -3.21 0.15 0.87 -0.01
4 0.0190 -326.13 0.10 72.95 -0.06
5 0.0191 -327.46 -0.11 73.27 0.04
6 0.0191 -328.09 0.23 73.31 -0.12
7 0.0192 -329.45 -0.16 73.54 -0.09
8 0.0193 -331.51 -0.12 74.05 -0.00
9 0.0218 -377.40 -0.06 83.00 0.01
10 0.0218 -378.24 0.47 83.34 0.08
11 0.0219 -379.81 0.09 83.44 -0.06
12 0.0220 -381.14 -0.10 83.76 0.04
13 0.0220 -382.51 -0.17 83.98 0.01
14 0.0221 -383.97 -0.19 84.36 0.11
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.
15ND45 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