The Fate of Our Universe

space, gravity, ode

Solving the Friedmann equations to model the expansion of our universe.

  Gravity Assist

animation, gravity, newton, semi-implicit euler method

Explaining the concept and simulating gravitational slingshot of a spacecraft passing a planet.

  Precession of Mercury

space, einstein, gravity, 4th order runge-kutta, angular momentum, fortran, ode, extrapolation, f2py

Computes the precession of Mercury by linear extrapolation.

  General Relativity

space, einstein, gravity, newton, 4th order runge-kutta, angular momentum, differential equation, ode

Discussion of orbits in the Schwarzschild Geometry.

  Roller Coaster

animation, gravity, newton, 4th order runge-kutta, interpolation, cubic splines

The motion of a rolling object on an arbitrary track is analyzed.

  The Cavendish Experiment

gravity, newton, harmonic oscillator, cavendish, curve fitting

Analyzes data from the Cavendish experiment using curve fitting. The Gravitational Constant is estimated.

  Planetary Motion - Three Body Problem

animation, space, gravity, newton, embedded runge-kutta pair, angular momentum

Applying the fourth order Runge-Kutta method and the adaptive step size Runge-Kutta method to calculate the trajectories of three bodies.

  Lagrange Points

space, gravity, newton, 4th order runge-kutta, lagrange

Studying how a third mass behaves in the effective gravitational potential resulting from two opposing masses (here: Sun and Earth).

  Planetary Motion

space, explicit euler method, gravity, newton

Applying the explicit and implicit Euler methods and the fourth order Runge-Kutta method to calculate the trajectory of the Earth around the Sun.