Short answers, pulled from the story.
The snow-covered planet featured in The Empire Strikes Back is named Hoth. It serves as a remote system with three moons and a freezing climate that supports only specific creatures like wampas and tauntauns.
Filming took place at Hardangerjøkulen glacier near Finse, Norway during subzero temperatures. Crew members worked under harsh winter conditions to create the icy terrain seen on screen using microscopic glass bubbles and baking soda.
Leigh Brackett wrote the original draft of The Empire Strikes Back in the late 1970s. Her script initially assigned the name Hoth to what later became Bespin before it was changed to an unnamed ice planet where Luke stood on the ridge.
The conflict known as the Battle of Hoth occurs within the timeline of the 1980 film The Empire Strikes Back. Ground forces arrive to destroy the Rebel base while Snowspeeders battle AT-AT walkers using ground artillery.
Hoth serves as a multiplayer map in the Star Wars: Battlefront series starting in 2004. Later titles such as Lego Star Wars II: The Original Trilogy released in 2006 and Lego Star Wars: The Skywalker Saga released in 2022 also feature Hoth levels or explorable hub worlds.