Zur Geometrie höherer Planetenumschwungbewegungen

Helmut Pottmann

doi:10.1007/BF01653244

Zur Geometrie höherer Planetenumschwungbewegungen

Translated title of the contribution: To the geometry of P-motions

Helmut Pottmann^*

^*Corresponding author for this work

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

4 Scopus citations

Abstract

The product of n rotations with constant velocities around parallel axes in the Euclidean 3-space is called a planetary motion of degree n. The paper discusses spatial motions ("P-motions") defined as the result of a planetary motion and a special translation in the direction of the axes; this translation is the sum of a finite number of harmonic translations with different frequencies.

Translated title of the contribution	To the geometry of P-motions
Original language	German
Pages (from-to)	141-156
Number of pages	16
Journal	Monatshefte für Mathematik
Volume	97
Issue number	2
DOIs	https://doi.org/10.1007/BF01653244
State	Published - Jun 1984
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Zur Geometrie h{\"o}herer Planetenumschwungbewegungen",

abstract = "The product of n rotations with constant velocities around parallel axes in the Euclidean 3-space is called a planetary motion of degree n. The paper discusses spatial motions ({"}P-motions{"}) defined as the result of a planetary motion and a special translation in the direction of the axes; this translation is the sum of a finite number of harmonic translations with different frequencies.",

author = "Helmut Pottmann",

year = "1984",

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AB - The product of n rotations with constant velocities around parallel axes in the Euclidean 3-space is called a planetary motion of degree n. The paper discusses spatial motions ("P-motions") defined as the result of a planetary motion and a special translation in the direction of the axes; this translation is the sum of a finite number of harmonic translations with different frequencies.

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ER -

Zur Geometrie höherer Planetenumschwungbewegungen

Abstract

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