  In this document, a neural network is employed in order to estimate the
solution of the initial value problem in the context of non linear
trajectories. Such trajectories can be subject to gravity, thrust, drag,
centrifugal force, temperature, ambient air density and pressure. First, we
generate a grid of trajectory points given a specified uniform density as a
design parameter and then we investigate the performance of a neural network in
a compression and inverse problem task: the network is trained to predict the
initial conditions of the dynamics model we used in the simulation, given a
target point in space. We investigate this as a regression task, with error
propagation in consideration. For target points, up to a radius of 2
kilometers, the model is able to accurately predict the initial conditions of
the trajectories, with sub-meter deviation. This simulation-based training
process and novel real-world evaluation method is capable of computing
trajectories of arbitrary dimensions.
