by Barnett » Wed Oct 25, 2006 2:36 pm
Hi,
Can someone who understands basic trig help me please?
For kicks, I thought I'd try to calculate the sizes of the comet & galaxy in APOD 10/19/06 based on apparent diameters and distances. But I'm clearly doing someting wrong:
I thought the tangent of half the apparent diameter (angle) would be qual to half of the true diameter divided by the distance.
I was thinking: right triangle ABC with the Earth at A and the right angle and center of the comet at C. tan = opposite over adjacent.
If the galaxy is 6.5' in diameter, then the comet (not including tail) is maybe 8', right?
So I did: tan(8/(60*2)) = (x / 2) / 9 light minutes
I used excel so converting the angle to radians:
Tan(Radians(1/15)) = x / 9*2
x = 0.001164 * 18 = 0.020944 light minutes
and then
0.020944 * 60sec/min * 186,000mi/sec = 234,735 miles!
... which seems way too big.
Thanks,
B
Hi,
Can someone who understands basic trig help me please?
For kicks, I thought I'd try to calculate the sizes of the comet & galaxy in APOD 10/19/06 based on apparent diameters and distances. But I'm clearly doing someting wrong:
I thought the tangent of half the apparent diameter (angle) would be qual to half of the true diameter divided by the distance.
I was thinking: right triangle ABC with the Earth at A and the right angle and center of the comet at C. tan = opposite over adjacent.
If the galaxy is 6.5' in diameter, then the comet (not including tail) is maybe 8', right?
So I did: tan(8/(60*2)) = (x / 2) / 9 light minutes
I used excel so converting the angle to radians:
Tan(Radians(1/15)) = x / 9*2
x = 0.001164 * 18 = 0.020944 light minutes
and then
0.020944 * 60sec/min * 186,000mi/sec = 234,735 miles!
... which seems way too big.
Thanks,
B