SATELLITE MOTION. -Continuously falls towards the earth. -Are launched to a position above the earths surface to avoid air resistance. -Escape speed is.

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Presentation transcript:

SATELLITE MOTION

-Continuously falls towards the earth. -Are launched to a position above the earths surface to avoid air resistance. -Escape speed is 11.2 km/s for earth. -Orbital velocity depends on orbital radius, the function of the satellite and the value of ‘g’ at its orbital radius. Satellites

What is the period of a satellite in geosynchronous orbit? Is it moving faster or slower than the earth’s rotation on its axis? One day Faster due to its larger radius

Sputnik was the first satellite to orbit the earth was in October 1957 by the Soviet Union. Sputnik II carried a dog. Explorer – January 1958 first US satellite. Hubble Telescope pres - Revolves every 97 minutes -Fast enough to travel across the United States in about 10 minutes.

Construction The station can be seen from the Earth with the naked eye, and is the largest artificial satellite orbiting the Earth.

V =m/s G= 6.67 x Nm 2 /kg 2 M=mass of planet R= radius of planet

A probe that has been on the moon needs to be brought back to earth. What escape speed does it need to leave the surface of the moon? v = 2(6.67x )(7.35 x kg) 1.74 x 10 6 m v = m/s √

V orbit = √g R orbit V= m/s R- orbital radius=m g= acceleration due to gravity (m/s 2 )

V orbit = √ gR orbit V= √8.65m/s 2 (7.4 x10 6 m) V= 8000m/s

T = Time # of trips Frequency of orbit: f= 1/T

The period of the Hubble telescope is 97minutes. Calculate its frequency? f=1/T f = 1/5820sec = rev/sec

Is it moving faster or slower than the earth?

Johannes Kepler was born on December 27, 1571, in Germany. First to correctly explain planetary motion, and developed the planetary laws. First to explain that the tides are caused by the Moon orbiting the Earth. He coined the word "satellite"

The planets orbit the sun in an elliptical path with the sun located at one foci. The apogee is the point farthest from the sun. The perigee is the position closest to the sun Pluto’s path is most elliptical and Earth’s is the most circular.

The planet sweeps out equal area’s over equal amounts of time. Where is its velocity the greatest? SUN Where is PE and KE greatest?

 The square of a planet’s period, T 2, is directly proportional to the cube of its semi-major axis ( a 3 ) in Astronomical units (AU).  1 AU = average distance between Earth and Sun (93,000,000 miles)  Period—the time it takes for the planet to go around the Sun (i.e., the planet’s year) T 2 = a 3

PLANETORBITAL PERIOD (In Earth years) DISTANCE FROM SUN (in AU) MERCURY VENUS EARTH11 MARS JUPITER SATURN URANUS NEPTUNE PLUTO AU-astronomical units- mean distance from the sun to the Earth