Looking for a new test of general relativity in the solar system

Abstract

This paper discusses three matter-of-principle methods for measuring the general relativity correction to the Newtonian values of the position of collinear Lagrangian points L1 and L2 of the Sun-Earth-satellite system. All approaches are based on time measurements. The first approach exploits a pulsar emitting signals and two receiving antennas located at L1 and L2, respectively. The second method is based on a relativistic positioning system based on the Lagrangian points themselves. These first two methods depend crucially on the synchronization of clocks at L1 and L2. The third method combines a pulsar and an artificial emitter at the stable points L4 or L5 forming a basis for the positioning of the collinear points L1 and L2. Further possibilities are mentioned and the feasibility of the measurements is considered.

8 pages, 2 figures

References in corpus (5)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Quantum effects on Lagrangian points and displaced periodic orbits in the Earth-Moon system
• Full three-body problem in effective-field-theory models of gravity
• Sun-Earth Lagrange reference for fundamental physics and navigation
• Solar system dynamics in general relativity

Cited by in corpus (5)

• Quantum Schwarzschild geometry in effective-field-theory models of gravity
• Dynamical features and shadows of quantum Schwarzschild black hole in effective field theories of gravity
• Probing loop quantum effects through solar system experiments: observational signatures and parameter constraints
• Estimating the strength of Lorentzian distribution in non-commutative geometry by solar system tests
• On two body gravitational scattering within perturbative gravit