Callculating orbital radius with parallax and arc seconds

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SUMMARY

The discussion focuses on calculating the orbital radius of a binary star system using parallax and angular separation. The system in question is located 5 parsecs away, with a maximum angular separation of 2 arc seconds. The relevant equation for this calculation is d = 1/p, where d is the distance in parsecs and p is the parallax in arc seconds. Participants are encouraged to share their attempts to solve the problem for more targeted assistance.

PREREQUISITES
  • Understanding of parallax measurement in astronomy
  • Familiarity with angular separation concepts
  • Knowledge of basic trigonometry
  • Ability to apply the equation d = 1/p
NEXT STEPS
  • Research the method for calculating parallax in binary star systems
  • Learn about angular separation and its significance in astronomy
  • Explore the application of trigonometric functions in celestial mechanics
  • Study examples of orbital radius calculations in astrophysics
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in understanding binary star systems and their orbital mechanics.

paulusmaulus
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Homework Statement


I'm attempting to find the orbital radius for a binary system based on the parallax of the system and angular separation:
1. A visual binary system that is 5 pc away is seen edge-on (i.e. we are in the plane of the orbit). The maximum angular separation of the two stars is 2 arc seconds.

Homework Equations


d=1/p


The Attempt at a Solution

 
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welcome to pf!

hi paulusmaulus! welcome to pf! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

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