Predicting the probability that earth-orbiting spacecraft will collide with man-made objects in space

Mathematics – Probability

Scientific paper

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Collision Rates, Earth Orbits, Probability Theory, Impact Prediction, Orbital Position Estimation, Population Theory, Safety Factors, Satellite Orbits, Space Debris, Space Environment Simulation, Spacecraft Orbits, Tables (Data), Tracking (Position)

Scientific paper

A probabilistic approach to the problem of collisions is made possible by basing a model of the relevant characteristics of the total population on the known properties of a fraction of the total. A method of determining collision probability for objects in any two different but potentially intersecting orbits is derived. Collision probabilities for earth-orbital missions are investigated parametrically as a function of orbital characteristics and a hypothetical projection of the results to future orbital missions is discussed.

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