getline(file,array) isn't moving to the next line

Question

I've looked at the other getline questions and couldn't come up with a solution. I will have a file formatted like so:

book
author
book
author
...

The code is to read the book title into the struct at book.name, and then the author at book.author but what I am getting is a blank for book and only author is printing. I know it's overwriting book.name but I'm not sure how to remedy it.

#include <string>
#include <fstream>
using namespace std;

struct Books {
   string name;
   string author;
};

Books books[100];


int main(){
   fstream file;
   file.open("test.txt");

   while(!file.eof()){
      getline(file,books[0].name);
      getline(file,books[0].author);
   }
   file.close();
   cout << books[0].name << " " << books[0].author << endl;

  return 0;
}

update: works with vectors now, too, though I've not been able to get it as fancy as the answer below, this is at least a bit more understandable for my level of C++ at the moment.

struct book_meta_data {
  string name;
  string author;
};
int i = 0;
book_meta_data b;
while ( getline(f,b.name) && getline(f,b.author) &&
      ++i){
        books.push_back(b);
      }

cout << books.size() << endl;
for (vector<int>::size_type i = 0; i != books.size(); i++){
  cout << books[i].name << " " << books[i].author << endl;
}

Answer 1

You should change

while(!file.eof()){
   getline(file,books[0].name);
   getline(file,books[0].author);
}

to

int i = 0;
while(getline(file,books[i].name) && getline(file,books[i].author) && ++i < 100);