Read "Feynman's Lost Lecture", a book by David Goodstein,https://books.google.com/books/about/Feynman_s_Lost_Lecture.html?id=ysZI5NcksUcC (Links to an external site.)
and write a book report (in MS Word format), indicating the key steps in Feynman's original derivation of Kepler's First Law from the Law of Universal Gravitation, using only high-school algebra and trigonometry. Draw some key diagrams to clarify the important steps.