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20112015
most citedA new method for obtaining approximate solutions of the hyperbolic Kepler's equation

9 citations · 20 across the 6 of their papers we have counts for

collaborators

10 papers

math-ph2015

An algebraic approach to the minimum-cost multi-impulse orbit transfer problem

Martin Avendano, Verónica Martín-Molina, Jorge Martín-Morales +1

We present a purely algebraic formulation (i.e. polynomial equations only) of the minimum-cost multi-impulse orbit transfer problem without time constraints, while keeping all the…

math.AG2015★ 5 cited

Numerical Adjunction Formulas for Weighted Projective Planes and Lattice Points Counting

J. I. Cogolludo-Agustin, J. Martin-Morales, J. Ortigas-Galindo

This paper gives an explicit formula for the Ehrhart quasi-polynomial of certain 2-dimensional polyhedra in terms of invariants of surface quotient singularities. Also, a formula f…

physics.class-ph2015★ 9 cited

A new method for obtaining approximate solutions of the hyperbolic Kepler's equation

Martín Avendano, Verónica Martín-Molina, Jorge Ortigas-Galindo

We provide an approximate zero for the hyperbolic Kepler's equation for and . We prove, by using Smale'…

math-ph2014★ 6 cited

Solving Kepler's equation via Smale's -theory

Martin Avendano, Verónica Martín-Molina, Jorge Ortigas-Galindo

We obtain an approximate solution of Kepler's equation for any and . Our solution is guaranteed, via Smale's -th…

math.AG2012

Local invariants on quotient singularities and a genus formula for weighted plane curves

Jose Ignacio Cogolludo-Agustin, Jorge Martin-Morales, Jorge Ortigas-Galindo

In this paper we extend the concept of Milnor fiber and Milnor number of a curve singularity allowing the ambient space to be a quotient surface singularity. A generalization of th…

math.AG2012

Kummer covers and braid monodromy

Enrique Artal Bartolo, Jose I. Cogolludo-Agustin, Jorge Ortigas-Galindo

In this work we describe a method to reconstruct the braid monodromy of the preimage of a curve by a Kummer cover. This method is interesting, since it combines two techniques, nam…