Question about satellite orbit

[InstaGaeta]

I'm a beginner in physics and have a couple easy question;

How far from Earth must a space porbe be along a line toward the sun so that the sun's gravitational pull balances the earth's?

A spaceship is going from the Earth to the moon in a trajectory along the line joining the centers of the two bodies. At what distance from the Earth will the net gravtitational force on the spaceship be zero?

Thanks for you time.

 

[lightgrav]

Do you know the functional form of the gravitational Force?
Do you know how to add vectors?

You have to tell us what you already know about this topic ...

 

[quicknote]

Hello,

Thank you for your questions about satellite orbit. I am happy to assist you in understanding this topic.

To answer your first question, the distance from Earth where the gravitational pull of the sun balances the gravitational pull of the Earth is called the Lagrange point. There are five Lagrange points between the Earth and the sun, with the third one being the point where the gravitational forces are balanced. This point is approximately 1.5 million kilometers from Earth.

For your second question, the net gravitational force on a spaceship traveling from Earth to the moon will be zero at the point where the gravitational forces of the Earth and the moon are equal. This point is known as the L1 Lagrange point and is located approximately 56,000 kilometers from the surface of the Earth.

I hope this helps to answer your questions about satellite orbit. If you have any further questions, please do not hesitate to ask. Keep exploring and learning about physics!

Best regards,


Scientist