-
vectors (position and velocity). The word
osculate is
Latin for "kiss". In mathematics, two
curves osculate when they just touch,
without (necessarily)...
- An
osculating circle is a
circle that best
approximates the
curvature of a
curve at a
specific point. It is
tangent to the
curve at that
point and has...
- In
differential geometry, an
osculating curve is a
plane curve from a
given family that has the
highest possible order of
contact with
another curve. That...
- point. The word
osculate is from
Latin osculari 'to kiss'; an
osculating plane is thus a
plane which "kisses" a submanifold. The
osculating plane in the...
- osculant, an
invariant of
hypersurfaces osculating circle osculating curve osculating plane osculating orbit osculating sphere The
obsolete Quinarian system...
- line is an
osculating curve from the
family of lines, and has first-order
contact with the
given curve; an
osculating circle is an
osculating curve from...
-
approximation to the
ellipsoid in the
vicinity of a
given point is the Earth's
osculating sphere. Its
radius equals Earth's
Gaussian radius of curvature, and its...
-
curvature at a
point of a
differentiable curve is the
curvature of its
osculating circle — that is, the
circle that best
approximates the
curve near this...
-
points respectively of a body's
direct orbit around the Sun.
Comparing osculating elements at a
specific epoch to
those at a
different epoch will generate...
-
which the
values are expressed. For example,
orbital elements,
especially osculating elements for
minor planets, are
routinely given with
reference to two...
