Simple precession calculation for Mercury: A linearization approach

Michael J.W. Hall

doi:10.1119/5.0098846

Simple precession calculation for Mercury: A linearization approach

Michael J.W. Hall^*

^*Corresponding author for this work

Department of Fundamental & Theoretical Physics

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

3 Citations (Scopus)

Abstract

The additional perihelion precession of Mercury due to general relativity can be calculated by a method that is no more difficult than solving for the Newtonian orbit. This method relies on linearizing the relativistic orbit equation, is simpler than standard textbook methods, and is closely related to Newton's theorem on revolving orbits. The main result is accurate for all values of G M / c 2 for near-circular orbits.

Original language	English
Pages (from-to)	857-860
Number of pages	4
Journal	American Journal of Physics
Volume	90
Issue number	11
DOIs	https://doi.org/10.1119/5.0098846
Publication status	Published - 1 Nov 2022

Access to Document

10.1119/5.0098846

Cite this

@article{ae511232dcf6459cbe0afd0be449a912,

title = "Simple precession calculation for Mercury: A linearization approach",

abstract = "The additional perihelion precession of Mercury due to general relativity can be calculated by a method that is no more difficult than solving for the Newtonian orbit. This method relies on linearizing the relativistic orbit equation, is simpler than standard textbook methods, and is closely related to Newton's theorem on revolving orbits. The main result is accurate for all values of G M / c 2 for near-circular orbits.",

author = "Hall, {Michael J.W.}",

note = "Publisher Copyright: {\textcopyright} 2022 Author(s).",

year = "2022",

month = nov,

day = "1",

doi = "10.1119/5.0098846",

language = "English",

volume = "90",

pages = "857--860",

journal = "American Journal of Physics",

issn = "0002-9505",

publisher = "American Association of Physics Teachers",

number = "11",

}

TY - JOUR

T1 - Simple precession calculation for Mercury

T2 - A linearization approach

AU - Hall, Michael J.W.

PY - 2022/11/1

Y1 - 2022/11/1

N2 - The additional perihelion precession of Mercury due to general relativity can be calculated by a method that is no more difficult than solving for the Newtonian orbit. This method relies on linearizing the relativistic orbit equation, is simpler than standard textbook methods, and is closely related to Newton's theorem on revolving orbits. The main result is accurate for all values of G M / c 2 for near-circular orbits.

AB - The additional perihelion precession of Mercury due to general relativity can be calculated by a method that is no more difficult than solving for the Newtonian orbit. This method relies on linearizing the relativistic orbit equation, is simpler than standard textbook methods, and is closely related to Newton's theorem on revolving orbits. The main result is accurate for all values of G M / c 2 for near-circular orbits.

UR - http://www.scopus.com/inward/record.url?scp=85140900909&partnerID=8YFLogxK

U2 - 10.1119/5.0098846

DO - 10.1119/5.0098846

M3 - Article

SN - 0002-9505

VL - 90

SP - 857

EP - 860

JO - American Journal of Physics

JF - American Journal of Physics

IS - 11

ER -

Simple precession calculation for Mercury: A linearization approach

Abstract

Access to Document

Other files and links

Fingerprint

Cite this