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: MA67954
# Created Wed Jun 4 01:12:17 2025
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 32.12d
# First observation: 2015/03/23
# Last observation: 2015/04/24
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.034820 -0.000000 -0.002303 0.028908 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 1.27 DOF: 11 RMS: 0.07
# Min/Max residuals: -0.13 0.13
# Exact a, adot, b, bdot, g, gdot:
1.773939E-05 3.043483E-02 -1.134473E-06 -2.433861E-03 2.815304E-02 3.771299E-03
# Covariance matrix:
7.6484E-13 4.7243E-10 -1.8819E-14 1.4582E-11 8.0160E-11 -1.5126E-08
4.7243E-10 8.2518E-07 -3.4417E-11 2.5560E-08 1.3529E-07 -2.7772E-05
-1.8819E-14 -3.4417E-11 4.6606E-13 -7.2973E-12 -5.5585E-12 1.2087E-09
1.4582E-11 2.5560E-08 -7.2973E-12 9.3322E-10 4.1730E-09 -8.7119E-07
8.0160E-11 1.3529E-07 -5.5585E-12 4.1730E-09 2.2308E-08 -4.4810E-06
-1.5126E-08 -2.7772E-05 1.2087E-09 -8.7119E-07 -4.4810E-06 9.7792E-04
# lat0 lon0 xBary yBary zBary JD0
1.407655 152.701913 -0.486074 0.021415 -0.866148 2457104.638858
# Heliocentric elements and errors
Epoch: 2457100.5000 = 2015/03/19
Mean Anomaly: 44.18369 +/- 106.145
Argument of Peri: 103.14451 +/- 205.412
Long of Asc Node: 350.12369 +/- 0.750
Inclination: 4.78369 +/- 0.208
Eccentricity: 0.17143116 +/- 0.9217
Semi-Major Axis: 40.69402429 +/- 10.6032
Time of Perihelion: 2445463.1563 +/- 27584.6
Perihelion: 33.71780044 +/- 38.5232
Aphelion: 47.67024813 +/- 39.5111
Period (y) 259.5997 +/- 101.46
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -32.55110054 +/- 0.1674
Ecliptic Y 16.25058650 +/- 0.0864
Ecliptic Z 0.87255178 +/- 0.0046
Ecliptic XDOT -0.00169176 +/- 0.0027
Ecliptic YDOT -0.00246512 +/- 0.0015
Ecliptic ZDOT -0.00022752 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 36.39254119 +/- 0.1546
Geocenter to KBO 35.52013751 +/- 0.1884
# Hcoef: 7.70
The following table shows the complete astrometric record for MA67954. 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 (MA67954) followed by the observatory code and reference code for the source of the astrometry.
2015 03 23.13808 10 20 42.964 +11 49 27.67 22.8R MA67954 695 2015 03 23.20204 10 20 42.679 +11 49 29.18 MA67954 695 2015 03 23.26541 10 20 42.388 +11 49 30.63 MA67954 695 2015 04 15.17849 10 19 15.333 +11 56 32.88 23.1R MA67954 695 2015 04 15.25040 10 19 15.117 +11 56 33.93 MA67954 695 2015 04 15.32937 10 19 14.893 +11 56 34.75 MA67954 695 2015 04 24.14928 10 18 52.827 +11 58 08.38 23.2R MA67954 G37 2015 04 24.25541 10 18 52.596 +11 58 09.11 MA67954 G37
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 -0.13 0.00 -0.05
2 0.0002 -4.45 0.03 -0.10 0.03
3 0.0003 -8.95 0.10 -0.29 0.03
4 0.0631 -1353.11 -0.04 -67.14 -0.05
5 0.0633 -1356.44 -0.09 -67.30 0.05
6 0.0635 -1359.81 0.13 -67.71 -0.07
7 0.0876 -1695.64 -0.02 -96.85 0.09
8 0.0879 -1699.06 0.02 -97.38 -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.
MA67954 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