GPS Satellite Orbital Mechanics

The video tutorial explains the problem of GPS satellites orbiting Earth, focusing on calculating their orbit speed and period. It introduces the concepts of period and frequency, explaining their definitions and relationships. The tutorial then derives the formula for orbit speed using gravitational and centripetal forces, and calculates the speed and period of a satellite's orbit, emphasizing the importance of using standard units in calculations.

What is the altitude at which GPS satellites orbit the Earth?

• 40,000 km

• 30,000 km

• 20,200 km

• 10,000 km

What is the unit of frequency in the standard system?

• Kilograms

• Hertz

• Meters

• Seconds

How is the period of a satellite's orbit defined?

• The distance it travels in one orbit

• The time it takes to complete one orbit

• The speed at which it travels

• The force acting on it

What force keeps a satellite in circular motion around the Earth?

• Electromagnetic force

• Gravitational force

• Nuclear force

• Magnetic force

Which formula represents the gravitational force acting on a satellite?

• F = ma

• F = G * m1 * m2 / r^2

• F = mv^2 / r

• F = k * q1 * q2 / r^2

What is the formula for calculating orbital speed derived from gravitational and centripetal forces?

• v = sqrt(G * M / r)

• v = G * M / r^2

• v = 2 * pi * r / T

• v = m * a

What is the radius used in the calculation of orbital speed?

• Only the altitude of the satellite

• Only the radius of the Earth

• The difference between the Earth's radius and the satellite's altitude

• The sum of the Earth's radius and the satellite's altitude

What is the approximate orbital speed of a GPS satellite?

• 7.5 km/s

• 5.0 km/s

• 3.87 km/s

• 1.5 km/s

How long does it take for a GPS satellite to complete one orbit around the Earth?

• 6 hours

• 12 hours

• 10 hours

• 8 hours

What is the standard unit for measuring the period of an orbit?

• Minutes

• Hours

• Days

• Seconds