Nostalgia -- the formal name for home-sickness -- is a medicalised term for the pain (-algia) of human longing to return home. Literally, we are sickened by the pain that thoughts of home brings to mind. It's an affect, a sensation, like its near relation neuralgia.
See also Hiraeth, a Welsh term that can come to mean the pain of a form of longing from within a home that is not as it should be, for the home that it should have been.
See also Hygge, a Danish term that conveys something of the sense of place when things are as they should be within a home space.