Why can't I get the right result?

Target value: 2.4*10^30

total: M (mass

opposite formula: r^3/T^2 = G*m/4Pi^2

My calculator says transformed:

m= 4*r^3/G*T^2*Pi^2

But this formula cannot be correct.

Only when I use 4Pi^2 instead of 4 does it work

For T = 60 in days

and r = 48*10^6 km

(1 votes)
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AMG38
1 year ago

Because the syntax does not interpret the pi^2 after the broken line (/) as a divisor.
Set 4pi^2 in brackets -> (4pi^2). Then the entire denominator also lands in the counter.

The equation was simply not changed correctly, the pi^2 must be in the counter.

Wechselfreund
1 year ago
Reply to  AMG38

Actually, you should be able to solve something like this without TR….

AMG38
1 year ago
Reply to  Wechselfreund

Would that be what you should expect. Yeah.

Picus48
1 year ago

Probably your formula is wrong, as there is only one mass “m”. As far as I can see, the following applies:

r3/T2 = G(M + m)/(4π2)