Speed of a Satellite Orbiting Earth: GmE v = The speed of a satellite orbiting Earth is equal to the square root of the universal gravitational constant times tha mass of the Earth, divided by the radius of the orbit. We can also find the orbital period of a satellite orbiting Earth the same as the planet is orbiting the Sun. Recall that the orbital period of a planet orbiting the Sun is expressed by: r3 T = 2n Gms Period of a Satellite Orbiting Earth: r3 T = 2n GmE The period for a satellite orbiting Earth is equal to 2 times the square root of the radius of the orbit cubed, divided by the product of the universal gravitational constant and the mass of Earth. Period of a Planet Orbiting the Sun: T = 27

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Chapter1: Units, Trigonometry. And Vectors
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2. Mercury, the closest planet to the Sun, has a radius of 2.44x106 m, with a mass
of 3.30x1023 kg and has 5.79x1010 m distance from the Sun. Find the following:
a. The speed of a satellite that is in orbit 260 km above Mercury's surface
b. The period of the satellite
Transcribed Image Text:2. Mercury, the closest planet to the Sun, has a radius of 2.44x106 m, with a mass of 3.30x1023 kg and has 5.79x1010 m distance from the Sun. Find the following: a. The speed of a satellite that is in orbit 260 km above Mercury's surface b. The period of the satellite
Speed of a Satellite Orbiting Earth:
Gmg
v =
The speed of a satellite orbiting Earth is equal to the square root of the
universal gravitational constant times tha mass of the Earth, divided by the
radius of the orbit.
We can also find the orbital period of a satellite orbiting Earth the same as the planet
is orbiting the Sun. Recall that the orbital period of a planet orbiting the Sun is
expressed by:
T = 2n
Gms
Period of a Satellite Orbiting Earth:
r3
T = 2n
Gmg
The period for a satellite orbiting Earth is equal to 27 times the square root
of the radius of the orbit cubed, divided by the product of the universal
gravitational constant and the mass of Earth.
Period of a Planet Orbiting the Sun:
r3
T = 2n
Gms
The period of a planet orbiting the Sun is equal to the 2n times the square
root of the orbital radius cubed, divided by the product of the universal
gravitational constant and the mass of the Sun.
Transcribed Image Text:Speed of a Satellite Orbiting Earth: Gmg v = The speed of a satellite orbiting Earth is equal to the square root of the universal gravitational constant times tha mass of the Earth, divided by the radius of the orbit. We can also find the orbital period of a satellite orbiting Earth the same as the planet is orbiting the Sun. Recall that the orbital period of a planet orbiting the Sun is expressed by: T = 2n Gms Period of a Satellite Orbiting Earth: r3 T = 2n Gmg The period for a satellite orbiting Earth is equal to 27 times the square root of the radius of the orbit cubed, divided by the product of the universal gravitational constant and the mass of Earth. Period of a Planet Orbiting the Sun: r3 T = 2n Gms The period of a planet orbiting the Sun is equal to the 2n times the square root of the orbital radius cubed, divided by the product of the universal gravitational constant and the mass of the Sun.
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