P1_1 "Prepare for Titanfall"

In the popular digital entertainment title Titanfall, “titans”, or large metal exoskeletons are dropped onto the battlefield on Earth, from a region in low earth orbit (LEO) at approximately 160 km. From start to finish, this process takes approximately 10 seconds in-game, subsequently requiring an average velocity of around 1.6x104 ms-1. This paper aims to incorporate the often neglected aspect of quadratic drag into the dynamical calculations in order to show that the time required for this movement is closer to 223.2 seconds once the correct atmospheric impacts have been accounted for

P1_3 The Double Pendulum and Lunar Seismometry

This paper aims to show that through the properties of the Laplace transformation into ‘s’ space, the coupled differential equations of the double pendulum, as shown in figure 1 [1] can be solved with relative ease and show interesting properties and applications of the system for variable values of gravity. These include lunar seismometry and consideration of similar experiments on other astronomical bodies

P1_2 The Temperature of Jupiter

It is well known that there is a discrepancy between Jupiter’s observed surface temperature, quantified through infrared emissions, and the theorised temperature based on the approximation that Jupiter acts as a black body. This paper will attempt to assess the additional contribution of three popular factors to the excess heat output of Jupiter; gravitational collapse, heat emission from radio-isotopes and the differentiation of He and