Unformatted text preview: powers of e multiplying sines and multiples of the mean anomaly M .” Problem 3 (50 pts): Debris and collisions Debris and other unidenti²ed objects can be a threat to spacecraft due to the nonzero risk of collision, as recently observed in the news. In this problem we consider two measurements of space objects relative to an Earth Centered Inertial (ECI) frame: Unidenti²ed object Spacecraft x = +7007 . 7 km ; ˙ x =2 . 7460 km/s x = +4274 . 1 km ; ˙ x =4 . 7951 km/s y = +1511 . 8 km ; ˙ y =6 . 8505 km/s y = +5648 . 3 km ; ˙ y = +4 . 7412 km/s z = +4045 . 9 km ; ˙ z = +1 . 5854 km/s z =2467 . 6 km ; ˙ z = +2 . 7685 km/s Assuming the gravitational parameter of the Earth to be μ = 398600 . km 3 /s 2 , determine if the objects are likely to collide each other (justify!). 1...
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 Spring '08
 Villac
 Astronomical unit, Celestial mechanics, Kepler’s equation, Eccentric anomaly Textbook, scalalr radius vector

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