A new study on sex and marriage claims that in order to prevent divorce, a husband's sexual satisfaction is what matters the most.

For the study, researchers followed 1,000 young straight couples in Louisiana from 1998 to 2004. They looked at how often the couples had sex, how satisfied each partner was with their sex life, and whether the couples agreed on the quality of their sex lives. They found that the probability of divorce is dramatically reduced when husband's report being sexually satisfied:
... a couple with a husband who has the highest self-rated satisfaction with physical intimacy, compared to a husband with the lowest self-rated satisfaction with physical intimacy, decreases their odds of experiencing a marital disruption by around 83.7%.
While it would be easy to take this as proof of the old stereotype - men care about sex in marriage and women only care about security - turns out it's more complicated than that. Women's happiness with their sex lives seemed to be inextricably tied up with their satisfaction with their marriage as a whole, a way that wasn't true for the men.

The same thing can be said about "sexual satisfaction," a term which actually encompasses a whole bunch of complicated factors, from desire to closeness to actual number of orgasms. So until we know what people are talking about when they say they're "satisfied," how sex affects marriage, for men or women, will still remain a mystery.