Perihelion precession in binary systems: higher order corrections

Carlos Marín; Jorge Poveda

doi:10.1007/s10509-018-3464-1

Perihelion precession in binary systems: higher order corrections

Carlos Marín^*
, Jorge Poveda

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Higher order corrections (up to n-th order) are obtained for the perihelion precession in binary systems like OJ287 using the Schwarzschild metric and complex integration. The corrections are performed considering the third root of the motion equation and developing the expansion in terms of r_s/ (a(1 − e²)).The results are compared with other expansions that appear in the literature giving corrections to second and third order. Finally, we simulate the shape of relativistic orbits for binary systems with different masses.

Original language	English
Article number	245
Journal	Astrophysics and Space Science
Volume	363
Issue number	12
DOIs	https://doi.org/10.1007/s10509-018-3464-1
State	Published - 1 Dec 2018

Keywords

Binary systems
Orbits
Perihelium advance

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10.1007/s10509-018-3464-1

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title = "Perihelion precession in binary systems: higher order corrections",

abstract = "Higher order corrections (up to n-th order) are obtained for the perihelion precession in binary systems like OJ287 using the Schwarzschild metric and complex integration. The corrections are performed considering the third root of the motion equation and developing the expansion in terms of rs/ (a(1 − e2)).The results are compared with other expansions that appear in the literature giving corrections to second and third order. Finally, we simulate the shape of relativistic orbits for binary systems with different masses.",

keywords = "Binary systems, Orbits, Perihelium advance",

author = "Carlos Mar{\'i}n and Jorge Poveda",

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year = "2018",

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T1 - Perihelion precession in binary systems

T2 - higher order corrections

AU - Marín, Carlos

AU - Poveda, Jorge

PY - 2018/12/1

Y1 - 2018/12/1

N2 - Higher order corrections (up to n-th order) are obtained for the perihelion precession in binary systems like OJ287 using the Schwarzschild metric and complex integration. The corrections are performed considering the third root of the motion equation and developing the expansion in terms of rs/ (a(1 − e2)).The results are compared with other expansions that appear in the literature giving corrections to second and third order. Finally, we simulate the shape of relativistic orbits for binary systems with different masses.

AB - Higher order corrections (up to n-th order) are obtained for the perihelion precession in binary systems like OJ287 using the Schwarzschild metric and complex integration. The corrections are performed considering the third root of the motion equation and developing the expansion in terms of rs/ (a(1 − e2)).The results are compared with other expansions that appear in the literature giving corrections to second and third order. Finally, we simulate the shape of relativistic orbits for binary systems with different masses.

KW - Binary systems

KW - Orbits

KW - Perihelium advance

UR - https://www.scopus.com/pages/publications/85056086663

U2 - 10.1007/s10509-018-3464-1

DO - 10.1007/s10509-018-3464-1

M3 - Artículo

AN - SCOPUS:85056086663

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VL - 363

JO - Astrophysics and Space Science

JF - Astrophysics and Space Science

IS - 12

M1 - 245

ER -

Perihelion precession in binary systems: higher order corrections

Abstract

Keywords

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