eprintid: 10190843
rev_number: 6
eprint_status: archive
userid: 699
dir: disk0/10/19/08/43
datestamp: 2024-04-17 10:29:24
lastmod: 2024-04-17 10:29:24
status_changed: 2024-04-17 10:29:24
type: article
metadata_visibility: show
sword_depositor: 699
creators_name: Li, Kaye Jiale
creators_name: Wu, Kinwah
creators_name: Younsi, Ziri
creators_name: Teixeira, Joana
creators_name: Singh, Dinesh
title: Generic gravito-magnetic clock effects
ispublished: pub
divisions: UCL
divisions: B04
divisions: C06
divisions: F63
keywords: black hole physics, gravitation, relativistic processes, celestial mechanics, time, pulsars: general
note: © 2024 The Author(s). Published by Oxford University Press on behalf of Royal Astronomical Society.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
abstract: General relativity predicts that two counter-orbiting clocks around a spinning mass differ in the time required to complete the same orbit. The difference in these two values for the orbital period is generally referred to as the gravito-magnetic (GM) clock effect. It has been proposed to measure the GM clock effect using atomic clocks carried by satellites in prograde and retrograde orbits around the Earth. The precision and stability required for satellites to accurately perform this measurement remains a challenge for current instrumentation. One of the most accurate clocks in the Universe is a millisecond pulsar, which emits periodic radio pulses with high stability. Timing of the pulsed signals from millisecond pulsars has proven to be very successful in testing predictions of general relativity and the GM clock effect is potentially measurable in binary systems. In this work, we derive the generic GM clock effect by considering a slowly spinning binary system on an elliptical orbit, with both arbitrary mass ratio and arbitrary spin orientations. The spin–orbit interaction introduces a perturbation to the orbit, causing the orbital plane to precess and nutate. We identify several different contributions to the clock effects: the choice of spin supplementary condition and the observer-dependent definition of a full revolution and ‘nearly identical’ orbits. We discuss the impact of these subtle definitions on the formula for GM clock effects and show that most of the existing formulae in the literature can be recovered under appropriate assumptions.
date: 2024-05
date_type: published
publisher: Oxford University Press (OUP)
official_url: http://dx.doi.org/10.1093/mnras/stae883
oa_status: green
full_text_type: pub
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 2268129
doi: 10.1093/mnras/stae883
lyricists_name: Wu, Kinwah
lyricists_id: KWUXX50
actors_name: Kalinowski, Damian
actors_id: DKALI47
actors_role: owner
full_text_status: public
publication: Monthly Notices of the Royal Astronomical Society
volume: 530
number: 1
pagerange: 1118-1128
issn: 0035-8711
citation:        Li, Kaye Jiale;    Wu, Kinwah;    Younsi, Ziri;    Teixeira, Joana;    Singh, Dinesh;      (2024)    Generic gravito-magnetic clock effects.                   Monthly Notices of the Royal Astronomical Society , 530  (1)   pp. 1118-1128.    10.1093/mnras/stae883 <https://doi.org/10.1093/mnras%2Fstae883>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10190843/1/Wu_Generic%20gravito-magnetic%20clock%20effects_VoR.pdf