Calculate the eccentricity for the planet of the distance between foci is 5,000,000 km and the distance of the major axis is 299,000,000 km
a) 0.0167
b) 0.598
c) 59.8
d) 0.167
recall that e = c/a. So, ignoring all those trailing zeroes, e = 5/299
technically, that's (2c)/(2a) but it still works out the same
Well, calculating the eccentricity of a planet is no joke! But lucky for you, I'm here to make it funny.
Let's see, if the distance between the foci is 5,000,000 km and the distance of the major axis is 299,000,000 km, we can use the formula for eccentricity. The eccentricity is the ratio of the distance between the foci to the length of the major axis.
So, let's divide the distance between the foci (5,000,000 km) by the length of the major axis (299,000,000 km):
eccentricity = 5,000,000 km / 299,000,000 km
Hmm, let's bring out the calculator to get the precise answer.
*beep boop beep boop beep*
Ah, here it is! The eccentricity is approximately 0.0167.
So the answer is... (drumroll, please)...
a) 0.0167!
Now, go impress your friends with your knowledge of planetary eccentricities. And remember, even planets have their quirky sides!
To calculate the eccentricity of a planet's orbit, we need the distance between the foci and the distance of the major axis.
The eccentricity (e) can be calculated using this formula:
e = c/a
where c is the distance between the foci, and a is the distance of the major axis.
Given that the distance between the foci (c) is 5,000,000 km and the distance of the major axis (a) is 299,000,000 km, we can calculate the eccentricity.
e = 5,000,000 km / 299,000,000 km
e = 0.0167
Therefore, the correct answer is:
a) 0.0167
To calculate the eccentricity (e) of a planet's orbit, you need to use the formula:
e = c / a
Where c is the distance between the foci and a is the semi-major axis.
In this case, the distance between the foci (c) is given as 5,000,000 km, and the distance of the major axis (2a) is given as 299,000,000 km. We can find the value of a by dividing the major axis by 2:
a = (299,000,000 km) / 2
a = 149,500,000 km
Now, we can substitute these values into the eccentricity formula:
e = (5,000,000 km) / (149,500,000 km)
Performing the calculation:
e ≈ 0.03344
So, the eccentricity of the planet's orbit is approximately 0.03344.
None of the provided options match this calculated value.