6. Basic Mathematics Tools

These pages of the wiki will help you build a strong knowledge basis to get started with Tudat. It is mandatory to understand the concepts taught here before proceding any further.

• 6.1. Interpolators
  • 6.1.1. One-dimensional Interpolator Creation
    • 6.1.1.1. Lagrange Interpolator
  • 6.1.2. Multi-dimensional Interpolator Creation
  • 6.1.3. Interpolation When Independent Variables are Out-of-range
• 6.2. Integrators
  • 6.2.1. Setting up a Numerical Integrator
    • 6.2.1.1. Creating an Integrator Object
    • 6.2.1.2. Using the Integrator Object
  • 6.2.2. Selecting a Numerical Integrator
    • 6.2.2.1. Euler Integrator
    • 6.2.2.2. Runge-Kutta 4 Integrator
    • 6.2.2.3. Runge-Kutta Variable Step-size Integrator
  • 6.2.3. Using a Numerical Integrator to Propagate an Orbit
• 6.3. Probability Distributions
  • 6.3.1. Implementation of a Probability Distribution
  • 6.3.2. Creating Probability Distributions
  • 6.3.3. Generation of Random Numbers
• 6.4. Filters
  • 6.4.1. Linear Kalman Filter
  • 6.4.2. Extended Kalman Filter
  • 6.4.3. Unscented Kalman Filter
  • 6.4.4. Using a Kalman Filter Object
  • 6.4.5. Adding a Control Input