We don't have synonyms for parhelium yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are parhelion, parthenium and perihelium.
(n) :
Alternative form of parhelion. [Synonym of sun dog (“a bright spot in the sky, usually one of two on the parhelic circle on both sides of the sun (or occasionally above and below it), caused by the refraction of the sun's image through ice crystals”).]
(n) :
Alternative form of parhelion. [Synonym of sun dog (“a bright spot in the sky, usually one of two on the parhelic circle on both sides of the sun (or occasionally above and below it), caused by the refraction of the sun's image through ice crystals”).]