A Quasiphysical and Dynamic Adjustment Approach for Packing the Orthogonal Unequal Rectangles in a Circle with a Mass Balance: Satellite Payload Packing

Algorithm 1

Definite , , , , , , , , , , , , and initialize , , , , , , , ;

Do

{

 Randomly generate with the envelope radius and calculate ; ;

 If

  Continue;

 Else break;

 While (1)

 {   Do

   {  ; for , calculate of and ;

    Calculate and ;

    If ( and )

    Else if

       Else if   ; break;}

   } While <  1 and );

   If ( or ) break;

   If find and which satisfy Formula (17) in and , , ;

   Find so that ;

   If () {by rotating , is obtained;

       If () update   by moving (), ;}

   Else find so that , and update   by rotating ;

   If (), update by moving () out, ;

 }

} while ();

Calculate the mass center , and , and calculate ;

Output the layout scheme and envelope radius ;

End the algorithm.