## 13 results

#### Gravity Assist

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

#### General Relativity

Discussion of orbits in the Schwarzschild Geometry.

#### Fixed-Point Iteration

Solving fixed-point problems using the Fix-Point Iteration method.

#### Roller Coaster

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

#### The Cavendish Experiment

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

#### Band Structures and Newton's Method

Using Newton's method to calculate the band structure for the simple Dirac comb potential in one dimension.

#### Sloshing

Analyzing sloshing using a numerical approach based on a linear model, which reduces the problem to a Steklov eigenvalue problem.

#### Planetary Motion - Three Body Problem

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

#### Lagrange Points

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

#### Planetary Motion

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

#### Polynomial Interpolation

Using polynomial interpolation to interpolate a set of points and to approximate a function or a curve.

#### Verlet Integration

Solving a second-order ordinary differential equation (Newton's second law) using Verlet integration.

#### Newton-Raphson Method

Determining a root with the Newton-Raphson algorithm.