THE ENVELOPES OF SOME FAMILIES OF FIXED-ENERGY TRAJECTORIES

被引：10

作者：

FRENCH, AP

机构：

来源：

AMERICAN JOURNAL OF PHYSICS | 1993年 / 61卷 / 09期

关键词：

D O I：

10.1119/1.17429

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

A standard technique is used to calculate analytic forms for the envelopes of trajectories for the following motions, given that all the trajectories of a particular family have the same energy and satisfy certain other conditions (e.g, all starting from the same point): parabolic motion under gravity; elliptic orbits in a harmonic-oscillator potential; elliptic orbits under an inverse-square force; and hyperbolic trajectories under an inverse-square force.

引用

页码：805 / 811

页数：7

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[5]

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[6]

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[7]

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[10]

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