group
What campus are you from?
Daytona Beach
Authors' Class Standing
Jeffrey Smothermon, Sophomore Jose Murphy, Sophomore Allen Perry, Sophomore Jamie Shore, Sophomore Caden Mosteller, Sophomore Jose Pons, Sophomore
Lead Presenter's Name
Jeffrey Smothermon
Faculty Mentor Name
Hementa Kunwar
Abstract
This project explores the gravitational field of the supermassive blackhole M87, using multivariable calculus and Newtonian physics. The gravitational field is treated as a three-dimensional gravitational field vector, derived from Newton’s universal law of gravitation, assuming the black hole as a point mass: g(x,y,z)=-∇Φ=G*M*(R/|R|^3) Where G is the gravitational constant, M is the mass of the black hole, and R is the radial vector from a particle to the center of the black hole. To overcome the inaccuracy of Newtonian Gravitation of black holes, the Schwarzschild radius is implemented to omit parts of the blackhole that are past the event horizon. A MATLAB visualization model will be developed from vector fields, gradients, divergence, and flux to simulate how gravitational strength varies throughout space. This model highlights the use of multivariable calculus to estimate complex astrophysical phenomena.
Did this research project receive funding support from the Office of Undergraduate Research.
No
Modeling the Gravitation Field of M85 using Newtonian physics and 3d vector fields in MATLAB
This project explores the gravitational field of the supermassive blackhole M87, using multivariable calculus and Newtonian physics. The gravitational field is treated as a three-dimensional gravitational field vector, derived from Newton’s universal law of gravitation, assuming the black hole as a point mass: g(x,y,z)=-∇Φ=G*M*(R/|R|^3) Where G is the gravitational constant, M is the mass of the black hole, and R is the radial vector from a particle to the center of the black hole. To overcome the inaccuracy of Newtonian Gravitation of black holes, the Schwarzschild radius is implemented to omit parts of the blackhole that are past the event horizon. A MATLAB visualization model will be developed from vector fields, gradients, divergence, and flux to simulate how gravitational strength varies throughout space. This model highlights the use of multivariable calculus to estimate complex astrophysical phenomena.