Media

This figure displays 3 different satellite spheres while leaving behind a trail to mark their orbits. 4 possible points of intersection exist within these three satellite spheres

This figure shows the code for the elliptical orbit being implemented around a central sphere. The satellite sphere is not drawn to scale with the green sphere meant to represent the Earth.

This figure shows an implementation for the first run of the orbit of the satellites, represented by grey spheres in order to account for a safe zone for each satellite in order to account for the probability of a collision with one another.

Equation code

This figure shows the equation of the ellipsoid used along with the variables which will be used to calculate the location of the satellite. This equation will be used in order to calculate the z position of the satellite.

Code variables

This figure shows the variables and arraylists that have been initialized in order to separate each different point of data in order to run the algorithm.

Cosmos spacemap

This figure shows matching data for the Cosmos 2463 that was retrieved from the Space-Track.org database.

Geogebra ellipsoid

Figure 4: This figure shows the resulting ellipsoid created with the sample equation (((x-3)cos(30)+(y+2)sin(30))^(2))/(4)+(((x-3)sin(30)-(y+2)cos(30))^(2))/(9) +z^(2) = 16.

Random satellite code

This figure shows the program which was made in order to create any desired number of data sets of the dimensions of each individual randomized satellite.

Logo

First draft of the animated logo

Initial Research

Some simple diagrams to help us develop an intuition for circular trajectories

N=1 Simulation

N-body simulation with Earth (green) and a single satellite (pink) using basic orbital mechanics

Vector-Value Mathematics

Some whiteboard diagrams to plan the design of the mathematical model

Orbital Deviation

A simple sketch to illustrate the idea of orbital deviation - that every circular orbit can be described as an offset of an original

Satellite description

An explanation of the three different types of satellites that are in the Earth's orbit.

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