I asked this question before but I think I phrased it incorrectly.

An object of mass M is fixed at a certain position. Another object of
mass m, initially at a distance R from M, is released from rest. What
is the time it takes for m to reach M according to Newton's Inverse
Square Law of Gravitation?

wrote in message oups.com...
I asked this question before but I think I phrased it incorrectly.

An object of mass M is fixed at a certain position. Another object of
mass m, initially at a distance R from M, is released from rest. What
is the time it takes for m to reach M according to Newton's Inverse
Square Law of Gravitation?

Ah... same meat, different gravy ... exp''(x) = exp'(x)= exp(x).


Ask Dork Van de merde to answer it, he might find out what
R'' + (G/R^2) = 0... oops, x'' + (c/x^2) = 0 was all about. :-)

wrote in message
oups.com...
I asked this question before but I think I phrased it incorrectly.

An object of mass M is fixed at a certain position. Another object of
mass m, initially at a distance R from M, is released from rest. What
is the time it takes for m to reach M according to Newton's Inverse
Square Law of Gravitation?


Hint: What's the period of an elliptical orbit?
What if the ellipse is very narrow? How
about if the width of the ellipse approaches
zero so that the trajectory is essentially a
straight line along the centers of mass?

wrote:

I asked this question before but I think I phrased it incorrectly.

An object of mass M is fixed at a certain position. Another object of
mass m, initially at a distance R from M, is released from rest. What
is the time it takes for m to reach M according to Newton's Inverse
Square Law of Gravitation?

Off the top of my head,

ma = -GMm/r^2
ie
v dv/dr = -GM/r^2

Integrating

v^2/2 = GM/r + C = GM(1/r - 1/R),
ie
dr/dt = v = ...

--
Timothy Murphy
e-mail (80k only): tim /at/ birdsnest.maths.tcd.ie
tel: +353-86-2336090, +353-1-2842366
s-mail: School of Mathematics, Trinity College, Dublin 2, Ireland

Dumbledore_ wrote:

wrote in message oups.com...
I asked this question before but I think I phrased it incorrectly.

An object of mass M is fixed at a certain position. Another object of
mass m, initially at a distance R from M, is released from rest. What
is the time it takes for m to reach M according to Newton's Inverse
Square Law of Gravitation?

Ah... same meat, different gravy ... exp''(x) = exp'(x)= exp(x).

Ask Dork Van de merde to answer it, he might find out what
R'' + (G/R^2) = 0... oops, x'' + (c/x^2) = 0 was all about. :-)

Hey stooopid, relativistic free fall is not identical to Newtonian
free fall,

http://arXiv.org/abs/gr-qc/9909014
Amer. J. Phys. 71 770 (2003)
Phys. Rev. Lett. 92 121101 (2004)

Light deflection at grazing incidence to the sun during a total
eclipse was a big deal at the turn of the 20th century - but you are
too stooopid to learn from empirical observation, reports in the
refereed literature or looking into a mirror.

Ponder this, asshopper: Why does a turd like yourself stink so?

--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/lajos.htm#a2

Uncle Al wrote:
Dumbledore_ wrote:

wrote in message oups.com...
I asked this question before but I think I phrased it incorrectly.

An object of mass M is fixed at a certain position. Another object of
mass m, initially at a distance R from M, is released from rest. What
is the time it takes for m to reach M according to Newton's Inverse
Square Law of Gravitation?

Ah... same meat, different gravy ... exp''(x) = exp'(x)= exp(x).

Ask Dork Van de merde to answer it, he might find out what
R'' + (G/R^2) = 0... oops, x'' + (c/x^2) = 0 was all about. :-)

Hey stooopid, relativistic free fall is not identical to Newtonian
free fall,

http://arXiv.org/abs/gr-qc/9909014
Amer. J. Phys. 71 770 (2003)
Phys. Rev. Lett. 92 121101 (2004)

Light deflection at grazing incidence to the sun during a total
eclipse was a big deal at the turn of the 20th century - but you are
too stooopid to learn from empirical observation, reports in the
refereed literature or looking into a mirror.

Ponder this, asshopper: Why does a turd like yourself stink so?

--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/lajos.htm#a2

So, Al, space-time is continuous, yes?

I've been reading this Edward Greene book about the "string theory".
That book is full of useful information about the bounds of reality.
Ah, no, it's Brian Greene.

Luckily, ever time I see "string" I read it as "point". Then again, I
call sets tuples.

What is a simple physics question? Maybe it's where all of the
questions are stupid.

Ross

"Uncle Al" wrote in message ...

[snip river of ****]
"Uncle Al" wrote in message ...
Newtonian physics is infinite lightspeed (instantaneous knowledge of
all aspects of a system),

You ****in' ignorant, stoooopid, LYING *******!

ROEMER,DOPPLER, MICHELSON, SAGNAC!
http://en.wikipedia.org/wiki/Ole_R%C3%B8mer

"Cassini had observed the moons of Jupiter between 1666 and 1668, and discovered discrepancies in his measurements that, at first, he attributed to light having a finite speed."

http://www.androcles01.pwp.blueyonde...mx4dummies.htm
http://www.androcles01.pwp.blueyonde...nac/Sagnac.htm
http://www.androcles01.pwp.blueyonde...er/Doppler.htm


Einstein: "we shall, however, find in what follows, that the velocity of light in our theory plays the part, physically, of an infinitely great velocity."
http://www.fourmilab.ch/etexts/einstein/specrel/www/

Get the **** out of the river of ****, you are the biggest TORD in it, you lying ****headed ****!
Go and worship Nehemiah Scudder!
**** OFF and DIE!

On Sat, 03 Feb 2007 15:45:02 +0000, Timothy Murphy
wrote:

wrote:

I asked this question before but I think I phrased it incorrectly.

An object of mass M is fixed at a certain position. Another object of
mass m, initially at a distance R from M, is released from rest. What
is the time it takes for m to reach M according to Newton's Inverse
Square Law of Gravitation?

Off the top of my head,

ma = -GMm/r^2
ie
v dv/dr = -GM/r^2

Integrating

v^2/2 = GM/r + C = GM(1/r - 1/R),
ie
dr/dt = v = ...
Very nice Tim

Dumbledore_ wrote:
[snip]

Nothing

http://www.mazepath.com/uncleal/effete6.jpg
Behold little Fumblebore
http://www.mazepath.com/uncleal/effete7.jpg

http://www.mazepath.com/uncleal/effete0.jpg
http://www.mazepath.com/uncleal/effete5.jpg


--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/lajos.htm#a2

"Uncle Al" wrote in message ...
Dumbledore_ wrote:
[snip]

Nothing
[snip river of **** from Schwartzcyst]
Schwartz:
http://tinyurl.com/ck9r2

"Uncle Al" wrote in message ...
Newtonian physics is infinite lightspeed (instantaneous knowledge of
all aspects of a system),

You ****in' ignorant, stoooopid, LYING *******!

ROEMER,DOPPLER, MICHELSON, SAGNAC!
http://en.wikipedia.org/wiki/Ole_R%C3%B8mer

"Cassini had observed the moons of Jupiter between 1666 and 1668, and discovered discrepancies in his measurements that, at first, he attributed to light having a finite speed."

http://www.androcles01.pwp.blueyonde...mx4dummies.htm
http://www.androcles01.pwp.blueyonde...nac/Sagnac.htm
http://www.androcles01.pwp.blueyonde...er/Doppler.htm


Einstein: "we shall, however, find in what follows, that the velocity of light in our theory plays the part, physically, of an infinitely great velocity."
http://www.fourmilab.ch/etexts/einstein/specrel/www/

Get the **** out of the river of ****, you are the biggest TORD in it, you lying ****headed ****!
Go and worship Nehemiah Scudder!
**** OFF and DIE!