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We study the time-like geodesic congruences, in the space-time geometry of aSchwarzschild black hole surrounded by quintessence. The nature of effectivepotential along with the structure of the possible orbits for test particles inview of the different values of quintessence parameter are analysed in detail.%wherever possible it is done analytically otherwise numerically. An increasein quintessence parameter is seen to set the particles from farther distanceinto motion around black hole. The effect of quintessence parameter isinvestigated analytically wherever possible otherwise we perform the numericalanalysis to probe the structure of possible orbits.  It is observed that there exist a number of different possible orbits for atest particle in case of non-radial geodesics, such as circular (stable as wellas unstable) bound orbits, radially plunge and fly-by orbits, whereas no boundorbits exist in case of radial geodesics. Using the geodesic deviationequations, we obtain the corresponding deviation vector and find that thequintessence assists the divergence of neighbouring geodesics in both theradial and transverse directions.

Geodesic Motion in Schwarzschild Spacetime Surrounded by Quintessence