He was the son of Asaph Hall, who discovered the moons of the planet Mars. Hall was born in Cambridge, Massachusetts in 1859. He was the son of the astronomer Asaph Hall and the mathematician Angeline Stickney Hall.
He grew up in Washington, District of Columbia where his father worked at the United States Naval Observatory.
He attended the Columbian College in the District of Columbia (now George Washington University) and then Harvard University, where he received his undergraduate degree in 1882.
After graduation Hall became an assistant at the Naval Observatory. In 1885 he went to Yale University as a graduate student and an assistant at Yale Observatory. Because of a large difference between his father"s measurement of the mass of Saturn at the Naval Observatory and that of Friedrich Bessel in Germany, Hall used the Yale heliometer to determine the mass of Saturn using the orbit of Titan.
His results confirmed Bessel"s measurement.
He received his Doctor of Philosophy in 1889. After receiving his doctorate from Yale, Hall returned to the Naval Observatory as assistant astronomer.
In 1892 he went to the University of Michigan in Ann Arbor as professor of astronomy and director of the Detroit Observatory. There he repaired the meridian circle and used it to do a determination of the constant of aberration.
They had two daughters, Mary and Katherine.
In 1905 he returned to the Naval Observatory, and became professor of Mathematics at the rank of commander in the Navy in 1908. There he worked on the orbits of planetary satellites using the 26-inch (66-cm) telescope, the great refractor of his father"s discoveries. He retired in 1929 and died the following year.
He is buried in Arlington National Cemetery.
His career is used as an example in John Lankford"s study of the sociology of astronomy.
