1. Projectile and Satellite Motion
Chapter 10
Projectile and Satellite Motion

2. Ch 3 Nonlinear Motion
Velocity : A vector quantity A B
A+B

3. Vector quantities have magnitude and direction
A + B B A
R is called the resultant vector
R = A + B

4. The Pythagorean Theorem
R2 = A2 + B2
R = A + B A B

5. Projectile Motion
Any object that is projected by some means and continues in motion under the influence of gravity and air resistance is called a projectile.
The path of a projectile is called the trajectory

6. Projectile Motion
-g vector

8. Projectile Range
At 30 degrees
At 15 degrees

9. Fast Moving Projectiles
Satellites
The Earth’s curvature drops a vertical distance of 5 meters every 8,000 meters horizontally

10. Circular Motion
V = r   r

11. “The greater the velocity… with which a stone is projected, the farther it goes before it falls to the earth. We may therefore suppose the velocity to be so increased, that it would describe an arc of 1, 2, 5, , 1000 miles before it arrived at the earth, till at last, exceeding the limits of the earth, it should pass into space without touching”
Isaac Newton – System of the World

12. Circular Orbit vt
a = vt2/R R

15. Falling Bodies Near the Surface of The EarthV
Xcm = Focus Xe

17. Elliptical Orbits

18. Elliptical Orbits
KE + PE
KE + PE

19. Elliptical Orbits
KE + PE
Apogee
Perigee
KE + PE