6533b836fe1ef96bd12a08e2
RESEARCH PRODUCT
Extended two-body problem for rotating rigid bodies
Mohammad PoursinaAlex HoJohn T. ConwayMargrethe Woldsubject
010504 meteorology & atmospheric sciencesmedia_common.quotation_subjectFOS: Physical sciencesAngular velocityDegrees of freedom (mechanics)Two-body problem01 natural sciencesTotal angular momentum quantum number0103 physical sciencesTorqueEccentricity (behavior)010303 astronomy & astrophysicsMathematical Physics0105 earth and related environmental sciencesmedia_commonEarth and Planetary Astrophysics (astro-ph.EP)PhysicsVDP::Matematikk og Naturvitenskap: 400::Fysikk: 430Applied MathematicsMathematical analysisAstronomy and AstrophysicsComputational Physics (physics.comp-ph)Potential energyEllipsoidComputational MathematicsSpace and Planetary ScienceModeling and SimulationPhysics - Computational PhysicsAstrophysics - Earth and Planetary Astrophysicsdescription
A new technique that utilizes surface integrals to find the force, torque and potential energy between two non-spherical, rigid bodies is presented. The method is relatively fast, and allows us to solve the full rigid two-body problem for pairs of spheroids and ellipsoids with 12 degrees of freedom. We demonstrate the method with two dimensionless test scenarios, one where tumbling motion develops, and one where the motion of the bodies resemble spinning tops. We also test the method on the asteroid binary (66391) 1999 KW4, where both components are modelled either as spheroids or ellipsoids. The two different shape models have negligible effects on the eccentricity and semi-major axis, but have a larger impact on the angular velocity along the $z$-direction. In all cases, energy and total angular momentum is conserved, and the simulation accuracy is kept at the machine accuracy level.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-01-01 | Celestial Mechanics and Dynamical Astronomy |