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- TL;DR Summary
- p , ε , c constants :

θ'(t)(p/(1+ε cos(θ(t))))^2=c

θ(t)=?

Hi

I posted this differential equation to WolframAlpha https://www.wolframalpha.com/input?i2d=true&i=Power[\(40)Divide[a,1+b*cos\(40)y\(40)x\(41)\(41)]\(41),2]*y'\(40)x\(41)=c but no solution , " Standard computation time exceeded... Try again with Pro computation time "

Should I ( buy and ) post to Wolfram|Alpha Pro ? I don't want to buy Pro if it doesn't solve it ... Maybe someone who has Pro can post it ? Lend his/her account ?

In fact we have r(θ) = p/(1+ε cos(θ)) ( 1st Kepler's law ) , r²θ'(t)=c ( 2nd Kepler's law ) and I want r(t) so need to solve the differential equation .

https://en.wikipedia.org/wiki/Kepler's_laws_of_planetary_motion

Thanks .

I posted this differential equation to WolframAlpha https://www.wolframalpha.com/input?i2d=true&i=Power[\(40)Divide[a,1+b*cos\(40)y\(40)x\(41)\(41)]\(41),2]*y'\(40)x\(41)=c but no solution , " Standard computation time exceeded... Try again with Pro computation time "

Should I ( buy and ) post to Wolfram|Alpha Pro ? I don't want to buy Pro if it doesn't solve it ... Maybe someone who has Pro can post it ? Lend his/her account ?

In fact we have r(θ) = p/(1+ε cos(θ)) ( 1st Kepler's law ) , r²θ'(t)=c ( 2nd Kepler's law ) and I want r(t) so need to solve the differential equation .

https://en.wikipedia.org/wiki/Kepler's_laws_of_planetary_motion

Thanks .

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