Minimal exponential measure model in the post-Newtonian limit

We examine the post-Newtonian limit of minimal exponential measure (MEMe) model presented in [J. C. Feng, S. Carloni, Phys. Rev. D 101, 064002 (2020)] using an extension parameterized (PPN) formalism which is also suitable for other type-I minimally modified Gravity theories. The new PPN expansion then used to calculate monopole term gravitational potential and perform analysis circular orbits within spherically symmetric matter distributions. latter shows that behavior does not differ significantly from general relativity realistic values MEMe parameter $q$. Instead former one can use precision measurements Newton's constant $G$ improve constraint on $q$ by up $10$ orders magnitude.