Solve Parallax Equation: Find Distance to Star in km & ly

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SUMMARY

The discussion focuses on solving the parallax equation to determine the distance to a star using the formula D=(d/2)/tan(theta/2), where d is the distance in kilometers and theta is the angle in degrees. The user calculated a distance of approximately 343,774,677,078,406.66 km, which is confirmed to be correct. However, the conversion to light years was initially miscalculated, with the correct conversion yielding approximately 27 light years. The discussion emphasizes the importance of unit consistency in astronomical calculations.

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  • Understanding of parallax and its application in astronomy
  • Familiarity with trigonometric functions, specifically tangent
  • Knowledge of unit conversions between kilometers and light years
  • Basic mathematical skills for handling exponential notation
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please can somebody help me with this parallax equation:

D=distance to star
theta=angle
using the rule D=(d/2)/tan(theta/2)
when d = 300*10tothe6
and theta = 5*10tothe-5

what is the distance to the star in km and light years?
 
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What's the problem?

(d is in what units?)
 
d is in km and theta is in degrees.
This is as close as i can get:
for this answer i get a result of:

343774677078406.6587981892079753

So, is this answer the number of km?

what is this answer in exponential form? ie: 34 * 10tothepower13?

1 light year is 9.467*10tothepower12, so in light years i think the distance will be:
27 light years

Please let me know if i am right
 
D and d have the same units. Your value for D in km is correct, but you messed up the conversion to light years. Do it over, more carefully.
 

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