UGC Approved Journal no 63975

ISSN: 2349-5162 | ESTD Year : 2014
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Published in:

Volume 4 Issue 3
March-2017
eISSN: 2349-5162

UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975

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Published Paper ID:
JETIR1703064


Registration ID:
301731

Page Number

330-335

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Title

AN ANALYTICAL STUDY ON TWO BODY PROBLEM USING CELESTIAL MECHANICS

Abstract

ABSTRACT: KAM theory: it provides the persistence of quasi–periodic motions under a small perturbation of an integrable system. KAM theory can be applied under quite general assumptions, i.e. a non– degeneracy of the integrable system and a Diophantine condition of the frequency of motion. It yields a constructive algorithm to evaluate the strength of the perturbation ensuring the existence of invariant tori. Perturbation theory: it provides an approximate solution of the equations of motion of a nearly–integrable system. Spin–orbit problem: a model composed by a rigid satellite rotating about an internal axis and orbiting around a central point–mass planet; a spin– orbit resonance means that the ratio between the revolutional and rotational periods is rational. Three–body problem: a system composed by three celestial bodies (e.g. Sun–planet–satellite) assumed as point–masses subject to the mutual gravitational attraction. The restricted three–body problem assumes that the mass of one of the bodies is so small that it can be neglected.

Key Words

KEYWORDS: KAM theory, Celestial Bodies, Kepler’s laws, artificial Satellites , Taylor series, etc.

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"AN ANALYTICAL STUDY ON TWO BODY PROBLEM USING CELESTIAL MECHANICS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.4, Issue 3, page no.330-335, March-2017, Available :http://www.jetir.org/papers/JETIR1703064.pdf

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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"AN ANALYTICAL STUDY ON TWO BODY PROBLEM USING CELESTIAL MECHANICS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.4, Issue 3, page no. pp330-335, March-2017, Available at : http://www.jetir.org/papers/JETIR1703064.pdf

Publication Details

Published Paper ID: JETIR1703064
Registration ID: 301731
Published In: Volume 4 | Issue 3 | Year March-2017
DOI (Digital Object Identifier):
Page No: 330-335
Country: Muzaffarpur, BIHAR, India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication


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