How to Convert Units for Finding the Mass of a Star?

AI Thread Summary
To find the mass of a star, the equation M=(4π²d³a³)/Gp² is used, where p is the period, a is the angle in radians, and d is the distance. The user initially struggled with converting the angle from arcseconds to degrees, leading to incorrect mass calculations. After realizing the need to convert the angle to radians, they achieved a more accurate mass estimate, although it still differed slightly from established values. Clarification on the variables and their definitions was also sought during the discussion. Ultimately, the conversion to radians improved the results significantly.
leonne
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Homework Statement


Need help with some unit conversion. The problem asks to find mass of a star.
p=1.58e9 seconds a=7.61" d=8.15e18 cm +-.001



Homework Equations


M=(4pie^2 d^3 a^3)/Gp^2


The Attempt at a Solution


My problem is with " arcsecond i think it is. The mass should be 5.967e33 grams about. I tried converting it into degrees but get a huge number.
 
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hey i know used the degree and got total mass as 3541 solar mass and only should be 3 solar mass, so something must be wrong idk wht
thxs anyways
 
I can't help you because I have no idea where you are getting your equation.
Did you determine the equation yourself or was it a given

period of what
angle of what
distance from what to what
 
thats the formula to find center of mass for a star distance is between the two star period is how long it takes for a rotation
 
nvm i think i got it, i think i convert it into radians
 
whats the angle
 
well when i used 3.689e-5 rad for the semi-major axes (a) that gave me a much better answer still have the masses off by as little but my numbers are little different from what wiki has so should be all good. thxs
 
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