Statistical distributions of Centaurs' orbital elements

Statistical distributions of pyrosequencing

Pyrosequencing is emerging as one of the important next-generation sequencing technologies. We derive the statistical distributions of this technique in terms of nucleotide probabilities of the target sequences. We give exact distributions both for fixed number of flow cycles and for fixed sequence length. Explicit formulas are derived for the mean and variance of these distributions. In both c...

The Dynamics of Known Centaurs

We have numerically investigated the long term dynamical behavior of known Centaurs. This class of objects is thought to constitute the transitional population between the Kuiper Belt and the Jupiter-family comets (JFCs). In our study, we find that this transient population diffuses into the JFCs and other sinks, but (not surprisingly) does not diffuse back into the parameter space representing...

Statistical Distributions, Second Edition

advantage of the unique capabilities of the computer to teach. The self-test segment of the program is simply a memory game, which does not focus on clinically relevant anatomy or provide a framework on how to think radiologically. In summary, while The Imaging Atlas functions appropriately, it offers few advantages over a radiographic atlas in book form. A firm grasp of statistical distributio...

1 Statistical Distributions

Equations for the orbital elements: Hidden symmetry.

We revisit the Lagrange and Delaunay systems of equations for the orbital elements, and point out a previously neglected aspect of these equations: in both cases the orbit resides on a certain 9-dimensional submanifold of the 12-dimensional space spanned by the orbital elements and their time derivatives. We demonstrate that there exists a vast freedom in choosing this submanifold. This freedom...