The two-body interaction potential in the STF tensor formalism: an application to binary asteroids

DOI10.1007/S10569-014-9568-1zbMath1298.70014OpenAlexW2095079735MaRDI QIDQ468640

Anne Lemaitre, A. Compère

Publication date: 7 November 2014

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-014-9568-1

zbMATH Keywords

binary asteroidsAsteroid (66391) 1999 \(\mathrm{KW}_4\)celest mechanicsfull two body rigid problemsymmetric trace free tensor

Mathematics Subject Classification ID

Two-body problems (70F05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Celestial mechanics (70F15)

Related Items (7)

Mutual potential between two rigid bodies with arbitrary shapes and mass distributions ⋮ Mutual gravitational potential, force, and torque of a homogeneous polyhedron and an extended body: an application to binary asteroids ⋮ Accelerating binary asteroid system propagation via nested interpolation method ⋮ Extended two-body problem for rotating rigid bodies ⋮ Vector potentials for the gravitational interaction of extended bodies and laminas with analytical solutions for two disks ⋮ The two rigid body interaction using angular momentum theory formulae ⋮ The spin–spin model and the capture into the double synchronous resonance

Uses Software

• NIMASTEP

Cites Work

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• On the use of STF-tensors in celestial mechanics
• Tidal dynamics of extended bodies in planetary systems and multiple stars
• Radiative gravitational fields in general relativity I. General structure of the field outside the source
• Mutual gravitational potential ofN solid bodies

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