Symplectic maps for the n-body problem¶
Wisdom, & Holman. (1991). Symplectic maps for the n-body problem. The Astronomical Journal.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Domain-specific¶
- Hamiltonian Mechanics
- Wisdom and Holman (1991) built symplectic maps that split the planetary Hamiltonian into an exactly-solvable Keplerian part plus a small interaction part, producing an integrator that is itself a canonical (area-preserving) transformation of phase space
This sourceA mapping method generalised to gravitational n-body problems with a dominant central mass, used to integrate the outer planets for a billion years and presented in relation to other symplectic integration methods.
Supported in partVerified against the publisher's abstract
“Some refinements of the method are considered, and the relationship of the mapping method to other symplectic integration methods is shown.”
- Wisdom and Holman (1991) built symplectic maps that split the planetary Hamiltonian into an exactly-solvable Keplerian part plus a small interaction part, producing an integrator that is itself a canonical (area-preserving) transformation of phase space
- Symplectic Structure
- Symplectic integrators — the leapfrog/Verlet family, and Wisdom and Holman's 1991 symplectic map for planetary motion
Supported in partVerified against the publisher's abstract
“the relationship of the mapping method to other symplectic integration methods is shown.”
- Symplectic integrators — the leapfrog/Verlet family, and Wisdom and Holman's 1991 symplectic map for planetary motion
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Registry ID ref:029f71007b59 · see in the full table