Lwaxana Troi visits the Enterprise while the ship is conducting experiments to help save the dying sun of Kaelon II under the supervision of their leading scientist, Timicin. Timicin makes it clear that he is as attracted to Lwaxana as she is to him, but he is reluctant to begin a relationship with her, which she believes is because of stress related to his work. The engineering crew tests torpedoes on another aging star that has no planets, hoping to use Timicin's research to stabilize the star's energy output, but after initial success, the star's core temperature continues to rise, and the Enterprise barely escapes the resulting supernova. When Lwaxana tries to console Timicin by suggesting that he can try another experiment, he confides that he is returning home to die. She barges into a meeting between Picard and the engineers working on the solar problem to announce that Timicin comes from a planet of murderers - his people have a ritual called the Resolution in which they commit suicide at the age of 60 so that their children do not have to care for their parents and the elderly do not feel useless or infirm. Picard insists that the Prime Directive prevents him from interfering, so Lwaxana encourages Timicin to refuse to participate in the Resolution as a statement of protest. Because Timicin believes he has discovered the solution to saving his planet's sun - and because he has fallen in love with Lwaxana - he agrees, asking Picard for asylum aboard the Enterprise. But once Kaelon II launches warships and refuses to accept any scientific data from Timicin, and once Timicin's daughter arrives to beg him to honor the heritage he taught her, he changes his mind, choosing to return to the planet to die surrounded by family and colleagues. Because she loves him, Lwaxana accompanies him to take part in the ritual.
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