CIRCULAR ORBITS A Satellite is any object that orbits another ...

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A Satellite is any object that orbits another. Examples: (1) Moon around the Earth, (2) Earth around the Sun. - For a Sa
SATELLITE MOTION: CIRCULAR ORBITS ● A Satellite is any object that orbits another. Examples: (1) Moon around the Earth, (2) Earth around the Sun. - For a Satellite launched from the Earth, its orbit (shape of path) depends on its ___________________________: V CIRCULAR

V ESCAPE

v=0

Object’s speed Projectile Motion Elliptical Orbit Circular Orbit

Escape

● Circular orbits are simpler. Planets have ___________________ orbits, but often we simplify (“nearly circular”). - In Circular orbits, the orbital speed and height of a satellite are related by:  VSAT = _________

GRAV. CONSTANTS G = 6.67 x 10-11 ME = 5.97 x 1024 kg RE = 6.37 x 106 m

- Combining VSAT and v = 2 π r / T (speed in circular motion):  TSAT = ____________

(orbital period, circular)

r = _________  For every height a satellite may have, there is an exact corresponding speed it must have to maintain that height. - Orbital speed, period, and height are interdependent. As height increases, v _____________, T _____________. - Notice how a satellite’s motion does NOT depend on its own mass (m). EXAMPLE: The International Space Station (ISS) is in nearly circular orbit at 370 km above the Earth. Calculate its orbital: (a) speed; (b) period. What would happen if it was moving: (c) slightly slower/faster; (d) much faster; (e) much slower?

NOTE: Astronauts in the I.S.S. are NOT weightless; they are constantly falling towards the Earth. In fact, g,ISS = ~8.7 m/s2.