The equation mc025-1.jpg shows the relationship between a planet’s orbital perio

Mathematics
Tutor: None Selected Time limit: 1 Day

The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If the orbital period of planet Y is twice the orbital period of planet X, by what factor is the mean distance increased?

Jul 22nd, 2015

Thank you for the opportunity to help you with your question!

can u post mc025.jpg  or the equation

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 22nd, 2015

The equation T^2=A^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If the orbital period of planet Y is twice the orbital period of planet X, by what factor is the mean distance increased?

Jul 22nd, 2015

T^2=A^3

T1^2=A1^3                                         for planet X

T2^2=A2^3                                         for planet Y

 T2=2T1                                             given

therefore,

4T1^2=A2^3

T1^2=(A2^3)/4

but 

T1^2=A1^3

therefore,

A1^3=A2^3/4

A2=cuberoot of 4(A1)



mean distance is increased by cuberoot of 4.

Jul 22nd, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Jul 22nd, 2015
...
Jul 22nd, 2015
Dec 5th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer