The post Newtonian parameter is considered in the chameleon-Brans-Dicke model. In the first step, the general form of this parameter and also effective gravitational constant is obtained. An arbitrary function for $f(\Phi )$, which indicates the coupling between matter and scalar field, is introduced to investigate validity of solar system constraint. It is shown that the chameleon-Brans-Dicke model can satisfy the solar system constraint and gives us an $\omega$ parameter of order ${10}^4$, which is in comparable to the constraint which has been indicated in [19].

• Received 18 January 2011

DOI:https://doi.org/10.1103/PhysRevD.83.104019