MatLab script, with example files, for numerically integrating: Orbital motion; Orbital Precession; Natural Frequency Shift; Light and Cosmic Ray Deflection; Shapiro Time Delay; Apparent Black Hole Emissivity and Shadow Diameter in a Gravitational Field. This is accomplished by applying a simple and efficient curvature of motion method (based on wave-particle duality) to calculate the influence of a static gravitational field on the path of motion and the natural frequency of matter. The associated math is easy to understand and is limited to basic geometry, vector algebra, and simple calculus. This enables advanced high school and undergraduate college students to understand and solve these examples on a mobile phone or tablet with an app capable of running MatLab script files. Comparisons with data illustrate excellent agreement for both week and strong gravitational fields.