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Recently, an analytical study of radial and circular orbits for null andtime-like geodesics that propagate in the spacetime produced by a Schwarzschildblack hole associated with cloud of strings, in a universe filled byquintessence, has been done in Ref. \cite{Mustafa:2021}. In this paper, wecomplete the aforementioned study by investigating possible analyticalsolutions to the equations of motion for other types of bound orbits, besidestaking into account the cases of unbound orbits. This requires an extensivestudy of the corresponding effective potentials that categorize the testparticle motion. We follow the standard Lagrangian dynamics to parametrize theradial and angular geodesics and the resultant (hyper-)elliptic integrals ofmotion are treated accordingly. We also simulate the orbits which correspond todifferent levels of energy in the effective potentials.

Study of null and time-like geodesics in the exterior of a Schwarzschild black hole with quintessence and cloud of strings