When did Lagrange publish his theory of classical mechanics, and what was the name of the publication? What is an example of a situation not already covered that you can describe where mechanical ener...When did Lagrange publish his theory of classical mechanics, and what was the name of the publication? What is an example of a situation not already covered that you can describe where mechanical energy is conserved? Think of three renewable energy sources and describe how they use conservation of energy to produce electricity. Simulate the launch of a space probe out of the solar system using a gravity assist.