Classical Tests of General Relativity

Bambi, Cosimo

doi:10.1007/978-981-13-1090-4_9

Cited by 1 publication

(1 citation statement)

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“…It took another 70 years, and the development of Riemannian geometry and relativity, for Einstein to explain that the discrepancy was due to the effect of the curvature of spacetime around the Sun. Einstein's theory has since been applied to celestial motion well beyond the Solar System (see [3][4][5][6] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Machine Learning for Discovering Effective Interaction Kernels between Celestial Bodies from Ephemerides

Zhong,

Miller,

Maggioni

2021

Preprint

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Building accurate and predictive models of the underlying mechanisms of celestial motion has inspired fundamental developments in theoretical physics. Candidate theories seek to explain observations and predict future positions of planets, stars, and other astronomical bodies as faithfully as possible. We use a data-driven learning approach, extending that developed in Lu et al. (2019) and extended in , to a derive stable and accurate model for the motion of celestial bodies in our Solar System. Our model is based on a collective dynamics framework, and is learned from the NASA Jet Propulsion Lab's development ephemerides. By modeling the major astronomical bodies in the Solar System as pairwise interacting agents, our learned model generate extremely accurate dynamics that preserve not only intrinsic geometric properties of the orbits, but also highly sensitive features of the dynamics, such as perihelion precession rates. Our learned model can provide a unified explanation to the observation data, especially in terms of reproducing the perihelion precession of Mars, Mercury, and the Moon. Moreover, Our model outperforms Newton's Law of Universal Gravitation in all cases and performs similarly to, and exceeds on the Moon, the Einstein-Infeld-Hoffman equations derived from Einstein's theory of general relativity.

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Section: Introductionmentioning

confidence: 99%