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oemBiology oemBiology
wrote...
Posts: 1263
Rep: 22 1
4 years ago
Referring to following image, from Earth's viewpoint, I would like to know on how Sun and Jupiter's gravity affects on Earth based on different Jupiter's location from 1 to 8.




Does anyone have any suggestions?
Thanks in advance for any suggestions
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wrote...
#1
Educator
4 years ago
Jupiter has an effect on the gravity on Earth, but it's weak. From what I read online, according to Newton's Law of Universal Gravitation, Jupiter pulls you up 34 million times less than Earth pulls you down. Jupiter's "pull" is utterly feeble. In other words, the gravity of Earth is 34 million times stronger than that of Jupiter pulling you towards it.
oemBiology Author
wrote...
#2
4 years ago
Is there any physical formula on calculating gravity based on different angles / locations as shown on image?

Do you have any suggestions?
Thank you very much for any suggestions (^v^)
wrote...
#3
Educator
4 years ago
So to calculate the gravitational pull between two objects, the following variables are considered:



As long as you know the distance between them, you can calculate it. Notice r represents distance from the center of one object to the other. The formula for distance between two objects in 2D is:

\(d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

From this formula, the angle between the objects may also be considered using trigonometric functions. Trig functions relation angles and distance.
oemBiology Author
wrote...
#4
4 years ago
Your given formula is only calculated for 2 objects, if there are 3 objects Sun, Jupiter and Earth, they are located with different angles as shown on above image.

Do you have any suggestions on what formula should look like?
Thank you very much for any suggestions (^v^)
wrote...
#5
Educator
4 years ago Edited: 4 years ago, bio_man
I don't think that's an issue, the same formula would apply. You'd find the pull between each one:

between earth and planet 1
earth and planet 2

Then you'd place the force on an x-y plane at their current angle to see which one exerts the most and in which direction. Something like this:



Also:

An illustration (not-to-scale):
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