Mitchell Peak is a solitary peak

Summit (topography)

In topography, a summit is a point on a surface that is higher in elevation than all points immediately adjacent to it. Mathematically, a summit is a local maximum in elevation...

 13 nautical miles (24 km) west of Birchall Peaks

Birchall Peaks

Birchall Peaks are a group of peaks west of Mount Iphigene, on the south side of Block Bay in Marie Byrd Land. They were discovered in 1929 by the Byrd Antarctic Expedition, and were named by Richard E. Byrd for Frederick T. Birchall, member of the staff of the New York Times which published the...

 on the south side of Guest Peninsula in Marie Byrd Land

Marie Byrd Land

Marie Byrd Land is the portion of West Antarctica lying east of the Ross Ice Shelf and the Ross Sea and south of the Pacific Ocean, extending eastward approximately to a line between the head of the Ross Ice Shelf and Eights Coast. It stretches between 158°W and 103°24'W...

. It was sighted by R. Admiral Byrd, December 5, 1929, while on an airplane flight over this coast. Named by Byrd for Hugh C. Mitchell, mathematician of the U.S. Coast and Geodetic Survey, a member of the National Geographic Society

National Geographic Society

The National Geographic Society , headquartered in Washington, D.C. in the United States, is one of the largest non-profit scientific and educational institutions in the world. Its interests include geography, archaeology and natural science, the promotion of environmental and historical...

 committee of experts which determined that Byrd reached both the North and South Poles by airplane in 1926 and 1929, respectively.