ASTR - Chapter 4 in class notes
ASTR - Chapter 4 in class notes ASTR 11200
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This 6 page Class Notes was uploaded by Kara Ott on Sunday September 13, 2015. The Class Notes belongs to ASTR 11200 at Rowan University taught by Andrew Watson in Fall 2015. Since its upload, it has received 24 views.
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Date Created: 09/13/15
Chapter 4 In Class 0 m quantity with magnitude and direction and sometimes units 0 Ex 16 feet North 4 miles South 0 m quantity with magnitude and sometimes units 0 Ex 16 feet 4 0 POSITION is a vector 0 Motion 0 Kinematics the study of motion Ar 0 Veloc1ty V A t I Ar 2 change in position I At 2 change in time 0 Speed magnitude of velocity or v 0 Even if your speed is the same your velocity may be different I Ex Running around a track at a constant speed of 5mph so speed is unchanging If you are going around the track in a northern direction at velocity of V1 and around the track in a southern direction at velocity of V2 then the speed is the same throughout but V1 and V2 are not equal because of direction 0 Displacement Ax X nal X initial 0 Acceleration also has magnitude AND direction oF Eh I Ap 2 change in momentum I At 2 change in time o Rotational Dynamics oLrXp I where L is angular momentum r is radius of orbit X is cross NOT MULTIPLICATION and p is momentum I rXp r p sine 1quot gt 19 o T ALAt I T torque I AL Change in angular momentum 0 Distance Formula d X2X12 Y2Y12 V Pushing a box would be linear momentum and pushing a door would be angular momentum Distance is always a straight line Displacement could be around a track greater than distance or a straight line equal to distance or in a negative direction 2 displacement While distance is 2 If there is acceleration there is a force net force If there is no movement there is NO net force No net torque means angular momentum is constant o Kepler s Law 0 All planets move in elliptical orbits with the sun at one focus I Ellipses have 2 foci I Circles are special ellipses Where both foci are in the same spot I Eccentricity is greater when foci are more spread apart 0 As a planet moves the imaginary line connecting the sun and the planet sweeps out equal areas in equal times 0 A planet s orbital period P in years is related to its semimajor aXis a in AU by P2a3 0 At Earth s orbit we have more gravitational potential energy than Mercury does towards the Sun I Circular orbit speed GM a I Escape velocity is only 2 bigger than circular velocity
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