The TLEs downloaded from the Space Track Organization website are converted into state vectors using the SatSpy software and the mean and osculating orbital elements are computed using the NPOE software.

To generate a set of mean apogee surfaces for zone A, three values of initial osculating eccentricity (0.

1] to be osculating curves in terms of their curvature functions.

1] is called osculating curve of the first or second kind if its position vector (with respect to some chosen origin) always lies in the orthogonal complement [B.

If its pseudo-Galilean trihedron is {t(x), n(x), b(x)}, then the center of osculating sphere of r at the point r(x) is given by

If its pseudo-Galilean trihedron {t(x), n(x), b(x)}; then the center of osculating sphere of r at the point r(x) is given by

Let C denote the osculating circle of C at the origin.

The osculating circle C will be the circle with radius [rho] = 1/[kappa] whose center (a, b) is on the normal line to C at the origin.

So the task then becomes the easier task of determining the

osculating elements.

k]n and admits an important subspace of dimension (k + 1)n, called the osculating bundle of M of order k - 1 and denoted [Osc.

Historically, osculating bundles were introduced under various names long before the bundles [T.

At each of the curve, the planes spanned by {T, N}, {T, B} and {N, B} are known respectively as the

osculating plane, the rectifying plane and the normal plane[5].

infinity]] after determining the

osculating hyperbolic trajectory, as discussed in [1], as well as the right ascension and declination of the asymptotic SC velocity vectors [V.

When she said the heat was bearable because she had an

osculating fan, I heard my dadAaAeAeAEs rather strangulated response as he struggled mightily n to laugh.

2] = 0, because the

osculating plane contains the unit normal n.