Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Manifold Of Variations: hazard assessment for short-term impactors   When an asteroid has a few observations over a short time span the
information contained in the observational arc could be so little that a full
orbit determination may be not possible. One of the methods developed in recent
years to overcome this problem is based on the systematic ranging and combined
with the Admissible Region theory to constrain the poorly-determined
topocentric range and range-rate. The result is a set of orbits compatible with
the observations, the Manifold Of Variations, a 2-dimensional compact manifold
parametrized over the Admissible Region. Such a set of orbits represents the
asteroid confidence region and is used for short-term hazard predictions. In
this paper we review the Manifold Of Variations method and make a detailed
analysis of the related probabilistic formalism.

6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ