... sun rises slightly to the north south of the tropic of cancer when the northern hemisphere is in summer...
... equator is experiencing a
I'm not quite accustomed to the terminology, but using the term "summer solstice" at the equator is not very reasonable for the winter solstice of the northern hemisphere. ... I don't see how defining "summer" and "winter" would have a lot of meaning ... instead of rain periods etc.
Oh absolutely. I'm not defining summer and winter solstices from a meteorological perspective, only from a solar/astronomical perspective -- where the sun rises each morning. The equator has nothing to do with it. I am claiming that it is winter now everywhere north of the tropic of capricorn (23°26′S) where I believe the sun rises South of East each morning (or not at all in the Arctic). In six months it will be the opposite but from south of the tropic of cancer (23°26′N). And this perfectly demonstrates your point. The solstices are of little practical use within the 47 some degrees of the tropics where half of the Earth's population lives.
Note: I mixed up my tropics earlier. Maybe I'll draw a little picture.