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19952026
most citedThe Gaia mission

7.1k citations

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13 papers · 1 filter

math.DS2016★ 8 cited

Note on the ideal frame formulation

Martin Lara

An implementation of the ideal frame formulation of perturbed Keplerian motion is presented which only requires the integration of a differential system of dimension 7, contrary to…

math.RA2016★ 1 cited

Lie's correspondence for commutative automorphic formal loops

A. Grishkov, J. M. Pérez-Izquierdo

We develop Lie's correspondence and an explicit Baker-Campbell-Hausdorff formula for commutative automorphic formal loops.

math.RA2016★ 19 cited

Jordan Trialgebras and Post-Jordan Algebras

Fatemeh Bagherzadeh, Murray Bremner, Sara Madariaga

We compute minimal sets of generators for the S_n-modules (n <= 4) of multilinear polynomial identities of arity n satisfied by the Jordan product and the Jordan diproduct (resp. p…

math.GR2016★ 1 cited

On torsion-free nilpotent loops

J. Mostovoy, J. M. Perez-Izquierdo, I. P. Shestakov

We show that a torsion-free nilpotent loop (that is, a loop nilpotent with respect to the dimension filtration) has a torsion-free nilpotent left multiplication group of, at most,…

nlin.CD2016★ 4 cited

Analysis of classical phase space and energy transfer for two rotating dipoles in an electric field

Rosario González-Férez, Manuel Iñarrea, J. Pablo Salas +1

We explore the classical dynamics of two interacting rotating dipoles that are fixed in the space and exposed to an external homogeneous electric field. Kinetic energy transfer mec…

astro-ph.IM2016★ 2.1k cited

Gaia Data Release 1. Summary of the astrometric, photometric, and survey properties

Gaia Collaboration, A. G. A. Brown, A. Vallenari +5

At about 1000 days after the launch of Gaia we present the first Gaia data release, Gaia DR1, consisting of astrometry and photometry for over 1 billion sources brighter than magni…