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A certain class of periodic orbits around the two finite masses in the restricted problem of three bodies

โœ Scribed by K. Lous


Publisher
John Wiley and Sons
Year
1919
Tongue
English
Weight
685 KB
Volume
209
Category
Article
ISSN
0004-6337

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โœฆ Synopsis


Band 209.

Nr. 5008.

A certain class of periodic orbits around the two finite masses in the restricted problem of three bodies. Hy K Lous. [With onr platv.] In :IN 4865 (and Copenhagen Publications no. 26) 1)r. C. Burran antl Prof. R. Sfromgren have published a paper forming a part of the researches made at the Copenhagen observatory on 1)eriodic orbits. At the end of this paper the authors mention a class of periodic orbits enclosing the two finite masses and by a direct movement of m 3 , the first computed member of this class being the orbit forming a point outward along the 7-axis and the whole class being limited by the double orbit of ejection passing throtigh both inI and ?ti?.

.4n investigation of this class of orbits is the purpose ' 1 ' \ , '\ K. Lous. Periodic orbits. '1 !. /' /" , I C . Schaidt, lnhnber Georg Oheim. K i d .


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Exact expression for a two-dimensional f
โœ Ioakimidis, N. I. ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Wiley (John Wiley & Sons) ๐ŸŒ English โš– 381 KB ๐Ÿ‘ 1 views

An exact expression is derived for the finite-part integral #,r-'fdS over a triangular domain S . where r denotes the distance of the points of the triangle from one of its vertices and f is a linear function of the Cartesian co-ordinates. The more general case where r denotes the distance of the po