"' Section E : PLANETS "'consist of detailed positional information on each of the major planets including osculating orbital elements, heliocentric ecliptic and geocentric equatorial coordinates, and physical ephemerides.
32.
The perturbations cause Pallene's osculating orbital elements to vary with an amplitude of about 4 km in semi-major axis, and 0.02?in longitude ( corresponding to about 75 km ).
33.
Strictly speaking, families and their membership are identified by analysing the so-called proper orbital elements rather than the current osculating orbital elements, which regularly fluctuate on timescales of tens of thousands of years.
34.
The parameters of the osculating Kepler orbit will then only slowly change and the osculating Kepler orbit is a good approximation to the real orbit for a considerable time period before and after the time of osculation.
35.
The parameters of the osculating Kepler orbit will then only slowly change and the osculating Kepler orbit is a good approximation to the real orbit for a considerable time period before and after the time of osculation.
36.
Calculation of the Taylor microscale is not entirely straightforward, requiring formation of certain flow correlation function ( s ), then expanding in a Taylor series and using the first non-zero term to characterize an osculating parabola.
37.
For each point " S " ( " t " ) on a locus of the centers of all the osculating circles ( also called " centers of curvature " ) is the evolute of the curve.
38.
In more familiar terms, if " & lambda; " is the contact lift of a curve " & gamma; " in the plane, then the preferred cycle at each point is the osculating circle.
39.
The radius of curvature of the path is ? as found from the rate of rotation of the tangent to the curve with respect to arc length, and is the radius of the osculating circle at position " s ".
40.
Further development of the conical sections, adding canopies and fuselage areas, led to the " osculating cones waverider ", which develops several conical shock waves at different points on the body, blending them to produce a single shaped shock.
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