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In this paper we study the observational constraints that can be imposed onthe coupling parameter, $\hat \alpha$, of the regularized version of the4-dimensional Einstein-Gauss-Bonnet theory of gravity. We use the scalar-tensorfield equations of this theory to perform a thorough investigation of itsslow-motion and weak-field limit, and apply our results to observations of awide array of physical systems that admit such a description. We find that theLAGEOS satellites are the most constraining, requiring $| \hat \alpha |\lesssim 10^{10} \,{\rm m}^2$. This constraint suggests that the possibility oflarge deviations from general relativity is small in all systems except thevery early universe ($t<10^{-3}\, {\rm s}$), or the immediate vicinity ofstellar-mass black holes ($M\lesssim100\, M_{\odot}$). We then considerconstraints that can be imposed on this theory from cosmology, black holesystems, and table-top experiments. It is found that early universe inflationprohibits all but the smallest negative values of $\hat \alpha$, whileobservations of binary black hole systems are likely to offer the tightestconstraints on positive values, leading to overall bounds $0 \lesssim \hat\alpha \lesssim 10^8 \, {\rm m}^2$.

Observational Constraints on the Regularized 4D Einstein-Gauss-Bonnet Theory of Gravity