To do this the satellite would need to be in a synchronous orbit (one whose orbital period is the same as the period of revolution of the planet underneath), and the descending cable would have to be counterbalanced by an ascending one extending off into space.
That is because the two smaller stars orbit each other in 0.9 days, whereas the expected period of oscillations from the red giant's rumblings is almost exactly half that.
The SR-71 has proven its value as a complementary system to U.S. space-based reconnaissance assets during the prolonged period from 1985 to 1987 when the United States was unable to place new satellites in orbit.