On the Librational Orbits in the Elliptic Restricted Three Body Problem

Zeki Tüfekçioğlu

doi:10.1501/Commua1_0000000591

EN

On the Librational Orbits in the Elliptic Restricted Three Body Problem

Abstract

Motion near the Lagrangean triangular points has been investigated by Rabe 1961, and Long periodic orbits have been established numerically in the circular case. i.e. when the two primaries revolve around the common çenter of mass in circular orbits. Following the same procedure as Rabe, Goodrich found short periodic orbits in the same case 1965. We showed, 1967, that one of the Rabes înitial Conditions also gives periodic orbit in the elliptic case. On the other hand Szebehely treated the elliptic case analyticaily. There are agreements between our numerical and Szebehely’s analytical results. an The restricted problem of three bodies studies the motion of infinitesimal partide moving under the influence of two finite point masses. It is assumed that the two bodies move about their çenter of mass in concentric circles and their orbits are undistur- bed by the infinitesimal third body.

Keywords

References

Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Zeki Tüfekçioğlu This is me
Türkiye

Publication Date

January 1, 1969

Submission Date

January 1, 1969

Acceptance Date

-

Published in Issue

Year 1969 Volume: 18

DOI

https://doi.org/10.1501/Commua1_0000000591

IZ

https://izlik.org/JA59SW84AG

Cite

RIS / Bibtex

APA

Tüfekçioğlu, Z. (1969). On the Librational Orbits in the Elliptic Restricted Three Body Problem. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 18. https://doi.org/10.1501/Commua1_0000000591

AMA

1.Tüfekçioğlu Z. On the Librational Orbits in the Elliptic Restricted Three Body Problem. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1969;18. doi:10.1501/Commua1_0000000591

Chicago

Tüfekçioğlu, Zeki. 1969. “On the Librational Orbits in the Elliptic Restricted Three Body Problem”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 18 (January). https://doi.org/10.1501/Commua1_0000000591.

EndNote

Tüfekçioğlu Z (January 1, 1969) On the Librational Orbits in the Elliptic Restricted Three Body Problem. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 18

IEEE

[1]Z. Tüfekçioğlu, “On the Librational Orbits in the Elliptic Restricted Three Body Problem”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 18, Jan. 1969, doi: 10.1501/Commua1_0000000591.

ISNAD

Tüfekçioğlu, Zeki. “On the Librational Orbits in the Elliptic Restricted Three Body Problem”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 18 (January 1, 1969). https://doi.org/10.1501/Commua1_0000000591.

JAMA

1.Tüfekçioğlu Z. On the Librational Orbits in the Elliptic Restricted Three Body Problem. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1969;18. doi:10.1501/Commua1_0000000591.

MLA

Tüfekçioğlu, Zeki. “On the Librational Orbits in the Elliptic Restricted Three Body Problem”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 18, Jan. 1969, doi:10.1501/Commua1_0000000591.

Vancouver

1.Zeki Tüfekçioğlu. On the Librational Orbits in the Elliptic Restricted Three Body Problem. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1969 Jan. 1;18. doi:10.1501/Commua1_0000000591