Vectors within classes: handling copy constructor and destructor (C++)

Take a simple class with the "big 3" (constructor, copy constructor, destructor):

#include <vector>
using namespace std; //actually goes in the C file that links to this header file
...
class planets(){ //stores mass and radii data for planets in a solar system.
   public:
      vector <double> mass;
      vector <double> radius;

   //constructor
   planets( int numObj ){
     for(int i=0; i<numObj; i++){
         mass.push_back(8.0); //some default values.
         radius.push_back(2.0);
     }
   }
   //copy constructor
   planets(const planets &p){
      vector <double> mass(p.mass); //copy vectors into new class.
      vector <double> radius(p.radius);
   }
  //destructor
  ~planets(){
     delete mass; //ERROR: (...) argument given to ‘delete’, expected pointer
     ~radius(); //also causes error: no match for call to(...) 
   }
}

I plan on making a vector of planets, thus the need for the "big 3":

vector <planets> stars;
stars.push_back(planets(5)); //5 hypothetical planets of alpha centauri
stars.push_back(planets(8)); //our solar system. Used to be nine.
///etc.

How do I delete the mass and radius vectors properly, to avoid memory leaks (do I even have to)?