Gallery — Source Code Listing

Quick list of supported pygment lexers (programming languages) for the minted package.

Template for homework assigment for Bi8773 at Masaryk University

Intro to LaTeX and Template for Homework Assignments Quantitative Methods in Political Science University of Mannheim Fall 2018

Lista de exercícios para disciplina de computação básica para física - Fortran na UFSM

Template for the final assignment report for the course MV013 Statistics for Computer Science taught at the Faculy of Informatics, Masaryk University, Brno.

The template for the C++ code

We study Logarithmically Spiral Trajectories and, in particular, we look for a solution to minimize the transit time of a Spacecraft propelled by a Solar Sail, while simultaneously minimizing the area of the Solar Sail, which would allow us to carry more payload on board. We start by analyzing the forces that act on the Spacecraft taking into account that its propellant is a Solar Sail; we use the studied forces to deduce the motion equations. We then solve this motion equation with a Runge-Kutta 4 method and transform the problem of minimizing time and area to a Non-linear Optimization problem. When solving the NLP we also try to minimize the relative final speed of th spacecraft with the destination planet in order to guarantee the possibility of a safe landing on its surface. The model improves when an angle parameter α (describing the angle formed by the Solar Sail with the colliding photons) is defined as a piecewise constant function and optimized whose values are optimized in every interval to minimize transit time and Area. Using the developed model to optimize the trajectory to be followed for sending from Earth to Mars a 2000kg-spacecraft propelled by a Solar Sail, subject to the condition that at trajectory start Mars and Earth were at their closest approach, and the Arrival Relative Velocity is less than 9km/s, give us a minimal transit time of 500days and a minimal area for the Solar Sail of 183158m2, meaning that the maximal payload would be 718kg. Compared with different number of partitions of α, the optimum stays stable. This gives a solid optimal trajectory and a great result for the numerical method used. Actually, waiting until the best moment to throw the Spacecraft, id est, Mars is at 1.14 radians respectively to Earth initial position, the minimal sail area 145950 m2 and, therefore, ables to transport until 978 kg of payload with the same transit time. In addition and to conclude we tried the model to optimize the inverse trajectory.

A lab report template, suitable for any of the PHYS 2Pxx/3Pxx courses at Brock University.

Sencilla plantilla (no oficial) para informes o trabajos universitarios a una sola columna. Contiene paquetes para la inserción de gráficos e imágenes, así como de código informático (especialmente pensado para Octave y Matlab). Se incluyen diversos paquetes para la inserción de símbolos matemáticos y teoremas. Está totalmente habilitada para la escritura en español. La portada muestra el escudo de la Universidad de Oviedo.