MAE146: Astronautics – Homework Assigned: Friday, February 19 th , 2010 Due date: Wednesday , February 24 th , 2010, (at the beginning of the lecture) Please justify all of your answers. Write your answer cleanly with sentences and diagrams to explain. Don’t forget to write your name on your copy to receive credit. Problem 1 (15pts): On orbit families Consider the restricted 2-body problem with gravitational parameter μ = 1. 1. Describe the set of orbits having a ±xed energy of-0. 5, angular momentum and eccentricity vector direction but having an angular momentum magnitude varying between 0 . 1 and 1 . 0. Plot a few sample orbits in this set (on the same graph; using a computer). 2. Describe the set of orbit having a ±xed angular momentum and eccentricity vector direction, the angular momentum magnitude being also set and equal to 0 . 5 while the energy is allowed to take values between-0. 5 and-0. 1. Plot a few sample orbits in this set (on the same graph; using a computer). Problem 2 (15pts): On time and anomalies
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Celestial mechanics, 000 km, angular momentum magnitude, eccentricity vector direction, 00 km