A complete closed form vectorial solution to the Kepler problem

被引：15

作者：

Condurache, Daniel ^{[1
]}

Martinusi, Vladimir ^{[1
]}

机构：

[1] Tech Univ Gheorghe Asachi, Dept Theoret Mech, Iasi, Romania

来源：

MECCANICA | 2007年 / 42卷 / 05期

关键词：

Kepler problem; vectorial regularization; Sundman transformation; classical mechanics;

D O I：

10.1007/s11012-007-9065-7

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The paper gives an exact vectorial solution to the Kepler problem. A vectorial regularization that linearizes the Kepler problem is given using a Sundman transformation. Closed form expressions describing the Keplerian motion are deduced. A unified approach to the classic Kepler problem is offered, by studying both rectilinear and non-rectilinear Keplerian motions with the same instrument. The approach is an elementary one and only simple vectorial computations are involved.

引用

页码：465 / 476

页数：12

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