 What were the two main goals of the Quest III ship in this story?
In the last hours the star ahead had grown brighter by many magnitudes, and had changed its color from a dazzling blue through white to the normal yellow, of a GO sun. That was the Doppler effect as the star's radial velocity changed relative to the Quest III , as for forty hours the ship had decelerated. They had seen many such stars come near out of the galaxy's glittering backdrop, and had seen them dwindle, turn red and go out as the Quest III drove on its way once more, lashed by despair toward the speed of light, leaving behind the mockery of yet another solitary and lifeless luminary unaccompanied by worlds where men might dwell. They had grown sated with the sight of wonders—of multiple systems of giant stars, of nebulae that sprawled in empty flame across light years. But now unwonted excitement possessed the hundred-odd members of the Quest III's crew. For the Quest III was coming home; the sun ahead was the Sun, whose rays had warmed their lives' beginning. The great chamber, a full cross-section of the vessel, had been at first a fuel hold. At the voyage's beginning eighty per cent of the fifteen-hundred-foot cylinder had been engines and fuel; but as the immense stores were spent and the holds became radioactively safe, the crew had spread out from its original cramped quarters. He had already set up on the calculator a course that would carry them to Earth. The ship's automatic mechanisms had scant need of tending; Knof Llud found himself wishing that he could find some back-breaking task for everyone on board, himself included, to fill up the hours that remained. As the Quest III's fuel stores and the hope of success in man's mightiest venture had dwindled, so the strength had gone out of him. That was the foreshortening along the time axis of a space ship approaching the speed of light. Weeks and months had passed for the Quest III in interstellar flight while years and decades had raced by on the home world. It was one he had made shortly after leaving Procyon, end of the first leg of the trip. "One light-day out from Procyon, the thirty-third day by ship's time since leaving Earth. "Our hopes were dashed—and I think all of us, even remembering the Centaurus Expedition's failure, hoped more than we cared to admit. If Procyon had possessed a habitable planet, we could have returned after an absence of not much over twenty years Earth time.
 To scout for new worlds to live in and return to Earth safely.
 To survey galaxies for non-human life forms and return to Earth safely.  To scout for new worlds to live in and return to Earth safely.  To stay away from Earth for 900 years during a major world war and to return back safely.  To return safely to Earth and return with new raw materials for technological research.