1. A method for treating a tumor, within healthy tissue of a patient, with positively charged particles, the tumor comprising a tumor surface area and a tumor central volume, the method comprising the steps of: accelerating the positively charged particles with a synchrotron to a first energy level; rotating the patient on a rotational platform; using a controller linked to said synchrotron and said rotational platform to target the tumor surface area with the positively charged particles, wherein said surface area of the tumor comprises at least one of: an outer perimeter of the tumor; portions of healthy tissue contacting the tumor; and healthy tissue proximate the tumor; and under control of said controller, delivering a therapeutic dosage of the positively charged particles to the tumor surface area of the tumor and a sub-therapeutic dosage of the charged particles to the central volume of the tumor.