In a general non inertial system four fictitious forces arise:
"translational" Force (due to linear acceleration of the origin of the system)
I know that I can apply Newtonian laws to the system if I take these forces into account. I also know that I can apply the work- energy principle, if I take the work of these forces into account.
What I am not sure about is: can I associate a potential energy to all of these forces? (I.e. consider a fictitious potential field). This is not trivial since the fictitious forces do not obey to Newton third law (--> no reaction). I also don't understand if I should consider there forces as internal or external to the system.
I ask this question because I read somewhere about centrifugal force potential.
PS only thing I am sure: the Coriolis force does no work --> no potential associated with It.