A mapping method for the gravitational few-body problem with dissipation

Renu Malhotra

doi:10.1007/BF00691903

A mapping method for the gravitational few-body problem with dissipation

Renu Malhotra

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

Recently a new class of numerical integration methods - "mixed variable symplectic integrators" - has been introduced for studying long-term evolution in the conservative gravitational few-body problem. These integrators are an order of magnitude faster than conventional ODE integration methods. Here we present a simple modification of this method to include small non-gravitational forces. The new scheme provides a similar advantage of computational speed for a larger class of problems in Solar System dynamics.

Original language	English (US)
Pages (from-to)	373-385
Number of pages	13
Journal	Celestial Mechanics & Dynamical Astronomy
Volume	60
Issue number	3
DOIs	https://doi.org/10.1007/BF00691903
State	Published - Nov 1994
Externally published	Yes

Keywords

Numerical integration
solar system dynamics
symplectic integrators

ASJC Scopus subject areas

Modeling and Simulation
Mathematical Physics
Astronomy and Astrophysics
Space and Planetary Science
Computational Mathematics
Applied Mathematics

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10.1007/BF00691903

Cite this

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title = "A mapping method for the gravitational few-body problem with dissipation",

abstract = "Recently a new class of numerical integration methods - {"}mixed variable symplectic integrators{"} - has been introduced for studying long-term evolution in the conservative gravitational few-body problem. These integrators are an order of magnitude faster than conventional ODE integration methods. Here we present a simple modification of this method to include small non-gravitational forces. The new scheme provides a similar advantage of computational speed for a larger class of problems in Solar System dynamics.",

keywords = "Numerical integration, solar system dynamics, symplectic integrators",

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year = "1994",

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language = "English (US)",

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N2 - Recently a new class of numerical integration methods - "mixed variable symplectic integrators" - has been introduced for studying long-term evolution in the conservative gravitational few-body problem. These integrators are an order of magnitude faster than conventional ODE integration methods. Here we present a simple modification of this method to include small non-gravitational forces. The new scheme provides a similar advantage of computational speed for a larger class of problems in Solar System dynamics.

AB - Recently a new class of numerical integration methods - "mixed variable symplectic integrators" - has been introduced for studying long-term evolution in the conservative gravitational few-body problem. These integrators are an order of magnitude faster than conventional ODE integration methods. Here we present a simple modification of this method to include small non-gravitational forces. The new scheme provides a similar advantage of computational speed for a larger class of problems in Solar System dynamics.

KW - Numerical integration

KW - solar system dynamics

KW - symplectic integrators

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M3 - Article

AN - SCOPUS:0000481712

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JO - Celestial Mechanics & Dynamical Astronomy

JF - Celestial Mechanics & Dynamical Astronomy

IS - 3

ER -

A mapping method for the gravitational few-body problem with dissipation

Abstract

Keywords

ASJC Scopus subject areas

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