Relevant scales for the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi></mml:math> -metric with a positive cosmological constant

In this work, we study the weak and strong gravitational lensing in presence of an accelerating black hole a universe with positive cosmological constant $\Lambda$. First all, derive new perturbative formulae for event horizons terms Schwarzschild, acceleration scales. agreement previous results literature, find that null circular orbits certain families orbital cones originating from saddle point effective potential are allowed they do not exhibit any dependence on constant. They turn out to be Jacobi unstable. We also show it is impossible distinguish $C$-black $\Lambda$ if limit us probe only into effects associated Sachs optical scalars. This motivates analyze when both observer light ray belong aforementioned family invariant cones. particular, analytical deflection angle regimes.