To solve this problem we will use Kepler's third law of planetary motion. Formula for that law is:
Where:
T = orbital period
G = universal gravitational constant
M = mass of star
a = distance from planet to star
By rearranging this formula we get:
For Earth we have:
For Wasp-32b we have:
or
We can see that right sides are same. Left sides must be same. We can use this to solve for distance.
![\frac{365^{2}}{1.1* 2.7^{2}} = \frac{1}{a^{3} } \\ \\ 2.7^{2} =365^{2}*a^{3} \\ \\ a^{3} =\frac{2.7^{2} }{365^{2}} \\ \\ a= \sqrt[3]{\frac{2.7^{2} }{365^{2}} } \\ \\ \\ a=0.038AU](https://tex.z-dn.net/?f=%5Cfrac%7B365%5E%7B2%7D%7D%7B1.1%2A%202.7%5E%7B2%7D%7D%20%3D%20%5Cfrac%7B1%7D%7Ba%5E%7B3%7D%20%7D%20%5C%5C%20%5C%5C%202.7%5E%7B2%7D%20%3D365%5E%7B2%7D%2Aa%5E%7B3%7D%20%5C%5C%20%5C%5C%20a%5E%7B3%7D%20%3D%5Cfrac%7B2.7%5E%7B2%7D%20%7D%7B365%5E%7B2%7D%7D%20%5C%5C%20%5C%5C%20a%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B2.7%5E%7B2%7D%20%7D%7B365%5E%7B2%7D%7D%20%7D%20%5C%5C%20%5C%5C%20%5C%5C%20a%3D0.038AU)
Wasp-32b is at distance of 0.038AU.
Answer:
The geocentric model appealed to mans' vanity, being in the center of everything. Simply, it satisfied their self-thought thus leaving no room for questioning its validity.
Explanation:
The geocentric and heliocentric models were the two main models proposed on how our solar system is laid out. Geocentric, coming from the word 'geo' meaning earth and 'centric' being center said that the Earth was the center of our solar system and the rest of the planets rotated and revolved around it. This model appealed to mans' vanity, this theory was promoted by Egyptian mathematician, Ptolemy. This theory was incorporated into religious dogma thus creating false credit. Ptolemy's calculations were correct, but his assumptions were not: the earth was motionless, circular orbits for planets, all celestial bodies orbit the earth etc. This was until Keppler and Galielo proved him wrong with his assumptions giving rise to the valid, Heliocentric model where the sun is the center of our solar system, planets have elliptical orbits and other planets had bodies orbiting them.
Hurricane Katrina killed many people and destroyed a lot of homes. it was also the largest and 3rd strongest hurricane in U.S. history.
HOPE I HELPED!!!
