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January 20th, 2018, 09:50 AM  #1 
Newbie Joined: Jan 2018 From: Sweden Posts: 1 Thanks: 0  Solving for mass
I have the following formula: $$m = \frac {4π^2} {GP^2}r1(r1+r2)^2$$ Where: G = 6.674x10^11 P = 10 years = 3.154x10^8 seconds r1 = 4.5x10^12 The task previewed this would be inputed with the values and simplified to: $$m = 2.6*10^7(4.5*10^{12}+r2)^2$$ but I simply can't solve the formula for that result. I was hoping someone could walk be through how to get specifically the value: $$2.6*10^7$$ cause that's where I'm stuck. Thanks in advance and I hope I put this question in the right place! (First post) 
January 20th, 2018, 10:32 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,634 Thanks: 2080 
Let's assume $G = (20/3)×10^{11}$ and $P^2 = 10^{17}$ approximately, so that $GP^2$ = (2/3)×10^7 approximately. Let's also approximate $4\pi^2r1$ as 178×10^12. That means 4$\pi^2r1$/((2/3)×10^7) is about (178/(2/3))×10^5, which is 2.67×10^7. Did you get something wildly different? 

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