Sudden singularities occur in FRW spacetimes when the scale factor remains finite and different from zero while some of its derivatives diverge .
After proper rescaling , the scale factor close to such a singularity at t = 0 takes the form a ( t ) = 1 + c|t| ^ { \eta } ( where c and \eta are parameters and \eta \geq 0 ) .
We investigate analytically and numerically the geodesics of free and gravitationally bound particles through such sudden singularities .
We find that even though free particle geodesics go through sudden singularities for all \eta \geq 0 , bound systems get dissociated ( destroyed ) for a wide range of the parameter c .
For \eta < 1 bound particles receive a diverging impulse at the singularity and get dissociated for all positive values of the parameter c .
For \eta > 1 ( Sudden Future Singularities ( SFS ) ) bound systems get a finite impulse that depends on the value of c and get dissociated for values of c larger than a critical value c _ { cr } ( \eta, \omega _ { 0 } ) > 0 that increases with the value of \eta and the rescaled angular velocity \omega _ { 0 } of the bound system .
We obtain an approximate equation for the analytical estimate of c _ { cr } ( \eta, \omega _ { 0 } ) .
We also obtain its accurate form by numerical derivation of the bound system orbits through the singularities .
Bound system orbits through Big Brake singularities ( c < 0 , 1 < \eta < 2 ) are also derived numerically and are found to get disrupted ( deformed ) at the singularity .
However , they remain bound for all values of the parameter c considered .