Two point masses m1 and m2, separated initially by distance d, move towards each other under mutual gravitational force. Find the time they take to collide?
The main problem I'm having is to solve the differential equation...
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Gert
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Harrison Wells
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Here acceleration would be the function of distance and you have to express them in term of distance.time will have relation with the distance change . – आर्यभट्ट Jul 13 '20 at 14:09
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1Because these are point masses, this problem has no solution, because at $r=0$ you hit a singularity: $F_1=F_2=+\infty$. – Gert Jul 13 '20 at 14:29
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1But to find the distance as a function of time, i.e. $r(t)$, use Conservation of Energy. Derive it to $t$ and you'll get a Newtonian EoM. – Gert Jul 13 '20 at 14:35
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Related: Gravitational attraction as distance approaches zero – G. Smith Jul 13 '20 at 16:20