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4
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Derivation of the equation of a hyperbolic orbit from the conic section expression derived via the orbit equation
So I'm looking to derive the equation of a hyperbolic orbit from the general expression for a conic section $$r=\frac{l}{e\cos\theta+1}$$ that you get out of solving the orbit equation for an inverse-...
1
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0
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Time taken to collide [duplicate]
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 ...
3
votes
2
answers
897
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What is the "associated scalar equation" of equations of motion?
In an essay I am reading on celestial mechanics the equations of motion for a 2 body problem is given as:
$$\mathbf{r}''=\nabla(\frac{\mu}{r})=-\frac{\mu \mathbf{r}}{r^3}$$
Fine. Then it says the "...
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0
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What does an $n$-body system with constant $T$ and $U$ look like?
Can someone give an example of a system where the kinetic $T$ and potential $U$ energy are constant (but not zero)?
Here's what I have in mind: Say you have $n-1$ satellites of negligible mass ...
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