ritual vs rite

Some examples from the web:

• You need radiation, not ritual sacrifice.
• It's called the Neptune ritual.
• The ritual traditionally begins at sunset.
• Only one social ritual was left.
• She changed after the demon ritual.
• The ritual that ensured our separateness.
• But there's ritual religious-cult murders.
• Hear you found the ritual text.
• Shepard is setting up a shaman healing ritual.
• In some cultures head-butting is a mating ritual.
• He interrupted my peak state ritual.
• I stopped my counting ritual today.
• Such ritual may bring profit, absent cost.
• Sharia amputation ritual for theft is very specific.
• The December elections were actually a ritual of re-appointment.
• Amanda started this whole javelina ritual.
• What you saw was primarily a celebratory ritual.
• Please wait till the ritual is finished.
• Initiation ritual common in Russian prison gangs.
• Not a formal ritual but intentional...

Some examples from the web:

• A rite of passage normally performed alone.
• Actually, Alexander has not yet committed himself to undergoing the rite.
• I was unable to conclude the rite in the allotted time.
• Facing the rite of M'al Sharran is something one must do with clear mind and conviction.
• The rite in the temple of lrminsul ends.
• The rite of passage for our generation.
• Baptism is the rite of initiation.
• It would be best to choose another girl for the rite.
• Sort of a... religious rite.
• A woman's rite of passage, not an ordeal.
• It's sort of a Wonderland rite of passage.
• Homecoming's a rite of passage.
• For a Grayson rite of passage.
• The rite of supplication is just a formality.
• To complete the rite of 9s.
• A rite of passage, if you will.
• Some kind of initiation rite, no doubt.
• But, I could perform the jewish rite of kaddish for him.
• It's, like, a rite of passage for celebrities.
• Plus, it's a time-honored rite of passage.