There are three classic theoretical tests of Albert Einstein’s Theory of General Relativity: the perihelion precession of Mercury, the other Solar System planets, and the planetoid Pluto, the bending of light by massive bodies, and the gravitational red shift. I recently wrote a C# program for displaying the exaggerated Rosette motion of theoretical planets (Schwarzschild’s solution to Einstein’s general relativity field equation that admit the existence of black holes). I also wrote a C++ program to calculate planetary precession values that agree with experimental results.
Precession.cpp (c) James Pate Williams, Jr. August 2022
This program calculates the planetary precessions of the planets in our solar system. Some of the equations and data are from “General Relativity” by Hans Stephani 1982 page 103 and the following websites. Also, two calculations of the mass of the Sun are exhibited, along with my weight on different planets:
My whole legal name is James Pate Williams, Jr. I was born in LaGrange, Georgia approximately 70 years ago. I barely graduated from LaGrange High School with low marks in June 1971. Later in June 1979, I graduated from LaGrange College with a Bachelor of Arts in Chemistry with a little over a 3 out 4 Grade Point Average (GPA). In the Spring Quarter of 1978, I taught myself how to program a Texas Instruments desktop programmable calculator and in the Summer Quarter of 1978 I taught myself Dayton BASIC (Beginner's All-purpose Symbolic Instruction Code) on LaGrange College's Data General Eclipse minicomputer. I took courses in BASIC in the Fall Quarter of 1978 and FORTRAN IV (Formula Translator IV) in the Winter Quarter of 1979. Professor Kenneth Cooper, a genius poly-scientist taught me a course in the Intel 8085 microprocessor architecture and assembly and machine language. We would hand assemble our programs and insert the resulting machine code into our crude wooden box computer which was designed and built by Professor Cooper. From 1990 to 1994 I earned a Bachelor of Science in Computer Science from LaGrange College. I had a 4 out of 4 GPA in the period 1990 to 1994. I took courses in C, COBOL, and Pascal during my BS work. After graduating from LaGrange College a second time in May 1994, I taught myself C++. In December 1995, I started using the Internet and taught myself client-server programming. I created a website in 1997 which had C and C# implementations of algorithms from the "Handbook of Applied Cryptography" by Alfred J. Menezes, et. al., and some other cryptography and number theory textbooks and treatises.
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Numerical Explorations 