Simple Math: Halving Jupiter's Semi-Major Axis

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In summary, halving Jupiter's semi-major axis would result in a more elliptical orbit and increased speed of Jupiter around the Sun. This scenario is significant in helping scientists understand the gravitational pull of the Sun on planets. It would also have an impact on the orbits of Jupiter's moons, potentially causing them to have more extreme orbits. However, studying this scenario has limitations as it is hypothetical and there are other factors at play. This research can provide insights into the stability and formation of our solar system.
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ghostbuster25
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my question is... the semimajor axis of the orbit of Jupiter is 7.8*108.
If an asteroid has an orbital period half of that of Jupiter what is the semi major axis?

All i did was times 7.8*108 by 1/2 and got 3.9*108.

Seems to simple!??

any comments much appreciated
 
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Look up Kepler's third law.
 
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Thread closed. Don't cross-post, ghostbuster25.
 

FAQ: Simple Math: Halving Jupiter's Semi-Major Axis

1. How does halving Jupiter's semi-major axis affect its orbit?

Halving Jupiter's semi-major axis would make its orbit more elliptical, meaning it would be more elongated and less circular. It would also cause Jupiter to orbit the Sun at a faster speed.

2. What is the significance of halving Jupiter's semi-major axis?

Halving Jupiter's semi-major axis is a hypothetical scenario that helps scientists understand how the gravitational pull of the Sun affects the orbits of planets.

3. How would halving Jupiter's semi-major axis impact its moons?

Halving Jupiter's semi-major axis would cause its moons to have more extreme orbits, with some moons potentially being pulled closer to Jupiter and others being pushed further away.

4. What are the limitations of studying halving Jupiter's semi-major axis?

Since it is a hypothetical scenario, it cannot be tested in real life. Additionally, there are many other factors that affect the orbits of planets and moons, so halving the semi-major axis is just one aspect of a complex system.

5. How does halving Jupiter's semi-major axis relate to the stability of the solar system?

Studying the effects of halving Jupiter's semi-major axis can provide insight into the stability of the solar system and how small changes can impact the orbits of planets and moons. This information can also help scientists better understand the formation and evolution of our solar system.

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