A new conservative numerical integration algorithm for the three-dimensional Kepler motion based on the Kustaanheimo–Stiefel regularization theory

A new conservative numerical integration algorithm for the three-dimensional Kepler motion is presented which conserves all of the constants of motion including the Runge–Lenz vector. The Kustaanheimo–Stiefel regularization theory plays a central role in the discretization of the equations of motion...

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Vydané v:Physics letters. A Ročník 324; číslo 4; s. 282 - 292
Hlavní autori: Minesaki, Yukitaka, Nakamura, Yoshimasa
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier B.V 19.04.2004
Predmet:
Kustaanheimo–Stiefel theory
Runge–Lenz vector
Three-dimensional Kepler motion
02.60.Jh
Three-dimensional Kepler motion
95.10.Ce
Kustaanheimo–Stiefel theory
45.50.Pk
Runge–Lenz vector
ISSN:0375-9601, 1873-2429
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Popis
Shrnutí:A new conservative numerical integration algorithm for the three-dimensional Kepler motion is presented which conserves all of the constants of motion including the Runge–Lenz vector. The Kustaanheimo–Stiefel regularization theory plays a central role in the discretization of the equations of motion.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2004.02.059