Goldstein worked at the Berlin Observatory from 1878 to 1890, but spent most of his career at the Potsdam Observatory, where he became head of the astrophysical section in 1927.
Goldstein bekerja di Observatorium Berlin dari tahun 1878 hingga 1890, tetapi kebanyakan menghabiskan kariernya di Observatorium Potsdam, dimana ia menjadi ketua di bagian astrofisika pada tahun 1927.