# Goddart's rocket problem

From mintOC

Goddart's rocket problem | |
---|---|

State dimension: | 1 |

Differential states: | 3 |

Continuous control functions: | 1 |

Path constraints: | 1 |

Interior point equalities: | 4 |

In Goddart's rocket problem we model the ascent (vertical; restricted to 1 dimension) of a rocket. The aim is to reach a certain altitude with minimal fuel consumption. It is equivalent to maximize the mass at the final altitude.

## Contents

## Variables

The state variables describe the altitude(radius), speed and mass respectively.

The drag is given by

## Mathematical formulation

## Parameters

## Reference Solution

The following reference solution was generated using BOCOP. The optimal value of the objective function is -0.63389.

## Source Code

Model descriptions are available in:

## References

The Problem can be found in the BOCOP User Guide.