When I went to Juniata College, I was around 5 hours from home without a car or driver's license (I didn't get mine until I was 19).
You will have good days and bad days; and over time the bad days get less and less intense.
What might help is to plan out calling x times per week to stay in touch.
Also, look at what type ofextracurricular activities you can get involved in such as student ambassadors (if your school has them) and the like as well as volunteering in your community.
In addition to keeping active outside of school work, you will develop friendships and keep yourself and your mind occupied.