General Post-Newtonian Orbital Effects : From Earth's Satellites to the Galactic Centre / Lorenzo Iorio.

Format:

Book

Author/Creator:

Iorio, Lorenzo, author.

Language:

English

Subjects (All):

Orbits.

Physical Description:

1 online resource (xiii, 282 pages) : digital, PDF file(s).

Edition:

First edition.

Place of Publication:

Cambridge, England : Cambridge University Press, [2025]

Summary:

This book provides a unified way of calculating a variety of orbital effects due to general relativity and modified models of gravity, to first and second post-Newtonian orders. It gives explicit results valid for arbitrary orbital and spin configurations, without a-priori simplifying assumptions on the orbital eccentricity and inclination

Contents:

Cover

Half-Title Page

Endorsement

Title Page

Imprints Page

Dedication

Contents

Acknowledgements

1 Introduction

2 General Calculational Scheme

2.1 The Keplerian Picture

2.2 The pK Variations of the Keplerian Orbital Elements

2.2.1 The First-Order Effects

2.2.2 The Second-Order Effects

2.2.3 The Mixed, or Indirect Effects

2.3 The pK Corrections to the Keplerian Orbital Period

2.3.1 The Anomalistic Period

2.3.2 The Draconitic Period

2.3.3 The Sidereal Period

2.4 The pK Variations of a Generic Observable O.

2.4.1 The Radial Velocity of a Spectroscopic Binary

2.4.2 The Characteristic Timescales in Transiting Exoplanets

2.4.3 The Sky-Projected Spin-Orbit Angle of Transiting Exoplanets

2.4.4 The Variation of the Times of Arrival of Binary Pulsars

2.4.5 The Astrometric Angles RA and dec.

2.5 The pK Variations of the Two-Body Range and Range Rate

2.5.1 The Two-Body Range Shift

2.5.2 The Two-Body Range Rate Shift

2.5.3 How to Produce Time-Dependent Time Series

3 1pN Gravitoelectric Effects: Mass Monopole(s)

3.1 The 1pN Gravitoelectric Effects for a Test Particle

3.1.1 The Orbital Shifts of the Keplerian Orbital Elements

3.1.2 The Anomalistic Period

3.1.3 The Draconitic Period

3.1.4 The Sidereal Period

3.1.5 The Astrometric Angles RA and dec.

3.1.6 The Two-Body Range and Range Rate

3.2 The 1pN Gravitoelectric Effects for a Binary

3.2.1 The Orbital Shifts of the Keplerian Orbital Elements

3.2.2 The Anomalistic Period

3.2.3 The Draconitic Period

3.2.4 The Sidereal Period

3.2.5 The Radial Velocity of a Spectroscopic Binary

3.2.6 The Characteristic Timescales of Transiting Exoplanets

3.2.7 The Variation of the Times of Arrival of Binary Pulsars

4 2pN Gravitoelectric Effects: Mass Monopoles

4.1 The Direct Net Orbital Shifts

4.2 The Mixed Net Orbital Shifts

4.2.1 I: The 1pN Instantaneous Change of the Apsidal Line

4.2.2 II: The 1pN Instantaneous Orbital Shifts

4.2.3 The Total Mixed Net Orbital Shifts

4.3 The Total Net Orbital Shifts

4.4 The Total Net Orbital Precessions

4.5 Confrontation with Other Approaches in the Literature

4.5.1 The Damour-Deruelle Parameterization

4.5.2 The Calculation by Kopeikin and Potapov

Notes:

Title from publisher's bibliographic system (viewed on 29 Nov 2024).

Description based on print version record.

Includes bibliographical references and index.

ISBN:

9781009562904

1009562908

9781009562911

1009562916