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We present the astrophysical science case for a space-based, decihertzgravitational-wave (GW) detector. We particularly highlight an ability to infera source's sky location, both when combined with a network of ground-baseddetectors to form a long triangulation baseline, and by itself for the earlywarning of merger events. Such an accurate location measurement is the key forusing GW signals as standard sirens for constraining the Hubble constant. Thiskind of detector also opens up the possibility to test type Ia supernovaeprogenitor hypotheses by constraining the merger rates of white dwarf binarieswith both super- and sub-Chandrasekhar masses separately. We will discuss otherscientific outcomes that can be delivered, including the constraint ofstructure formation in the early Universe, the search for intermediate-massblack holes, the precise determination of black hole spins, the probe of binarysystems' orbital eccentricity evolution, and the detection of tertiary massesaround merging binaries.

Astrophysics and cosmology with a decihertz gravitational-wave detector: TianGO