Question

A satellite is originally on a low Earth orbit with the orbital period of T =...

A satellite is originally on a low Earth orbit with the orbital period of T = 1.4 hours. (a) What are the radius R1 of the orbit and orbital speed? (b) What is the radius R2 of the orbit with the orbital period which is eight times longer? (c) By how much does the speed need to be increased in order to get to that orbit? hint: The Earth radius is R = 6.371 × 10^3 km and free fall acceleration on the surface is g = 9.8 m/s^2

Homework Answers

Answer #1

Here we apply Kepler's third law for planetary motion.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
.A low Earth orbit (LEO) is an orbit around Earth with an altitude between 160 kilometers...
.A low Earth orbit (LEO) is an orbit around Earth with an altitude between 160 kilometers (99 mi) (orbital period of about 88 minutes). If the radius of the earth is around 6400km, what is the speed of a satellite (in Km/s) on this LEO?
A geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Calculate...
A geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Calculate the radius of such an orbit. 1. Based on T=2(pi)SQRT(r^3/GM) 2. Based on the data for the moon: average orbital radius 3.85x10^5 km, orbital period 27.3 days.
Satellite to be in a circular orbit 590 km above the surface of the earth. a?)...
Satellite to be in a circular orbit 590 km above the surface of the earth. a?) What orbital speed must it be given? b) What is the period of the orbit (in hours)? Express your answer in hours
A satellite is in a circular orbit around the Earth at an altitude of 3.32 106...
A satellite is in a circular orbit around the Earth at an altitude of 3.32 106 m. (a) Find the period of the orbit. (Hint: Modify Kepler's third law so it is suitable for objects orbiting the Earth rather than the Sun. The radius of the Earth is 6.38 106 m, and the mass of the Earth is 5.98 1024 kg.) h (b) Find the speed of the satellite. km/s (c) Find the acceleration of the satellite. m/s2 toward the...
A satellite orbits the Earth uniformly in a circular orbit with a velocity of magnitude 4.00...
A satellite orbits the Earth uniformly in a circular orbit with a velocity of magnitude 4.00 km/s. Use Newton's gravitation force as the force in Newton's Law of Acceleration, using also the centripetal acceleration . Solve for radius r of the satellite's orbit in terms of v . (a) Find then the altitude of the satellite above the surface of the Earth. Earth's mass and radius are 5.9810 kg and 6.3810 km. (b) Find the time it takes the satellite...
A satellite is orbiting the Earth in a stable circular orbit at a height of 5,220...
A satellite is orbiting the Earth in a stable circular orbit at a height of 5,220 km above the surface of the Earth. (a) What is the satellite's acceleration in this orbit? (b) What is the satellite's orbital period? (c) If the satellite has a mass of 6400 kg, how much work was needed ti out it in to this orbit, assuming it was initially at rest? Neglect the Earth's rotation and atmospheric resistance.
A satellite (mass m) is in circular orbit around Earth (mass M) with orbital period T....
A satellite (mass m) is in circular orbit around Earth (mass M) with orbital period T. What is the satellite’s distance r from the Earth’s center? Group of answer choices
1. A satellite is in a circular orbit about the earth (ME = 5.98 x 1024...
1. A satellite is in a circular orbit about the earth (ME = 5.98 x 1024 kg). The period of the satellite is 2.35 x 104 s. What is the speed at which the satellite travels? 2. Two satellites are in circular orbits around the earth. The orbit for satellite A is at a height of 545 km above the earth’s surface, while that for satellite B is at a height of 787 km. Find the orbital speed for (a)...
A satellite is in a circular orbit around the Earth at an altitude of 3.84  106 m....
A satellite is in a circular orbit around the Earth at an altitude of 3.84  106 m. (a) Find the period of the orbit. (Hint: Modify Kepler's third law so it is suitable for objects orbiting the Earth rather than the Sun. The radius of the Earth is 6.38  106 m, and the mass of the Earth is 5.98  1024 kg.) h (b) Find the speed of the satellite. km/s (c) Find the acceleration of the satellite. m/s2 toward the center of the...
A satellite is in a circular orbit around the Earth at an altitude of 1.66 106...
A satellite is in a circular orbit around the Earth at an altitude of 1.66 106 m. (a) Find the period of the orbit (in hrs). (Hint: Modify Kepler's third law: T2 = (4π2/GMS)r3 so it is suitable for objects orbiting the Earth rather than the Sun. The radius of the Earth is 6.38 106 m, and the mass of the Earth is 5.98 1024 kg.) (b) Find the speed of the satellite (in km/s). (c) Find the acceleration of...