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math.AG2025
Projective Plane Subdivision Method For Initial Orbit Determination
Ruiqi Huang, Anton Leykin, Michela Mancini
Initial Orbit Determination (IOD) is the classical problem of estimating the orbit of a body in space without any presumed information about the orbit. The geometric formulation of…
math.AG2025
Effective Whitney Stratification of Real Algebraic Varieties
Martin Helmer, Anton Leykin, Vidit Nanda
We describe new algorithms to compute Whitney stratifications of real algebraic varieties. Using either conormal or polar techniques, these algorithms stratify a complexification o…
math.AG2025
Smale's 6th problem for generic masses
Anders N. Jensen, Anton Leykin
We give a new method to attempt to prove that, for a given , there are finitely many equivalence classes of planar central configurations in the Newtonian -body problem for g…