Second order differential equation of the pendulum system
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Who was the first to derive second order differential equation representing a simple case pendulum? (Galileo, Newton, Huygens, Leibniz or someone else)?
$ddottheta = sin(theta)$
I personally suspect Huygens, however I do not have a proof.
ordinary-differential-equations
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add a comment |
$begingroup$
Who was the first to derive second order differential equation representing a simple case pendulum? (Galileo, Newton, Huygens, Leibniz or someone else)?
$ddottheta = sin(theta)$
I personally suspect Huygens, however I do not have a proof.
ordinary-differential-equations
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1
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Henry Kater in 1817.
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– JCH
Jan 1 at 19:53
1
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@JCH: Source? Surely it must have been known much earlier than that, given that Newton and Huygens studied pendula already in the 17th century.
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– Hans Lundmark
Jan 2 at 11:15
1
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Judging from en.wikipedia.org/wiki/Christiaan_Huygens#Pendulums, it seems Huygens didn't quite get to the equation for the simple pendulum. But I'm thinking that it must at least have been known to people like Euler and Lagrange in the 18th century.
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– Hans Lundmark
Jan 2 at 11:19
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I also have to consider Robert Hooke who was the first to study conical pendulum.
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– Aschoolar
Jan 2 at 14:16
add a comment |
$begingroup$
Who was the first to derive second order differential equation representing a simple case pendulum? (Galileo, Newton, Huygens, Leibniz or someone else)?
$ddottheta = sin(theta)$
I personally suspect Huygens, however I do not have a proof.
ordinary-differential-equations
$endgroup$
Who was the first to derive second order differential equation representing a simple case pendulum? (Galileo, Newton, Huygens, Leibniz or someone else)?
$ddottheta = sin(theta)$
I personally suspect Huygens, however I do not have a proof.
ordinary-differential-equations
ordinary-differential-equations
asked Jan 1 at 18:00
AschoolarAschoolar
1991110
1991110
1
$begingroup$
Henry Kater in 1817.
$endgroup$
– JCH
Jan 1 at 19:53
1
$begingroup$
@JCH: Source? Surely it must have been known much earlier than that, given that Newton and Huygens studied pendula already in the 17th century.
$endgroup$
– Hans Lundmark
Jan 2 at 11:15
1
$begingroup$
Judging from en.wikipedia.org/wiki/Christiaan_Huygens#Pendulums, it seems Huygens didn't quite get to the equation for the simple pendulum. But I'm thinking that it must at least have been known to people like Euler and Lagrange in the 18th century.
$endgroup$
– Hans Lundmark
Jan 2 at 11:19
$begingroup$
I also have to consider Robert Hooke who was the first to study conical pendulum.
$endgroup$
– Aschoolar
Jan 2 at 14:16
add a comment |
1
$begingroup$
Henry Kater in 1817.
$endgroup$
– JCH
Jan 1 at 19:53
1
$begingroup$
@JCH: Source? Surely it must have been known much earlier than that, given that Newton and Huygens studied pendula already in the 17th century.
$endgroup$
– Hans Lundmark
Jan 2 at 11:15
1
$begingroup$
Judging from en.wikipedia.org/wiki/Christiaan_Huygens#Pendulums, it seems Huygens didn't quite get to the equation for the simple pendulum. But I'm thinking that it must at least have been known to people like Euler and Lagrange in the 18th century.
$endgroup$
– Hans Lundmark
Jan 2 at 11:19
$begingroup$
I also have to consider Robert Hooke who was the first to study conical pendulum.
$endgroup$
– Aschoolar
Jan 2 at 14:16
1
1
$begingroup$
Henry Kater in 1817.
$endgroup$
– JCH
Jan 1 at 19:53
$begingroup$
Henry Kater in 1817.
$endgroup$
– JCH
Jan 1 at 19:53
1
1
$begingroup$
@JCH: Source? Surely it must have been known much earlier than that, given that Newton and Huygens studied pendula already in the 17th century.
$endgroup$
– Hans Lundmark
Jan 2 at 11:15
$begingroup$
@JCH: Source? Surely it must have been known much earlier than that, given that Newton and Huygens studied pendula already in the 17th century.
$endgroup$
– Hans Lundmark
Jan 2 at 11:15
1
1
$begingroup$
Judging from en.wikipedia.org/wiki/Christiaan_Huygens#Pendulums, it seems Huygens didn't quite get to the equation for the simple pendulum. But I'm thinking that it must at least have been known to people like Euler and Lagrange in the 18th century.
$endgroup$
– Hans Lundmark
Jan 2 at 11:19
$begingroup$
Judging from en.wikipedia.org/wiki/Christiaan_Huygens#Pendulums, it seems Huygens didn't quite get to the equation for the simple pendulum. But I'm thinking that it must at least have been known to people like Euler and Lagrange in the 18th century.
$endgroup$
– Hans Lundmark
Jan 2 at 11:19
$begingroup$
I also have to consider Robert Hooke who was the first to study conical pendulum.
$endgroup$
– Aschoolar
Jan 2 at 14:16
$begingroup$
I also have to consider Robert Hooke who was the first to study conical pendulum.
$endgroup$
– Aschoolar
Jan 2 at 14:16
add a comment |
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1
$begingroup$
Henry Kater in 1817.
$endgroup$
– JCH
Jan 1 at 19:53
1
$begingroup$
@JCH: Source? Surely it must have been known much earlier than that, given that Newton and Huygens studied pendula already in the 17th century.
$endgroup$
– Hans Lundmark
Jan 2 at 11:15
1
$begingroup$
Judging from en.wikipedia.org/wiki/Christiaan_Huygens#Pendulums, it seems Huygens didn't quite get to the equation for the simple pendulum. But I'm thinking that it must at least have been known to people like Euler and Lagrange in the 18th century.
$endgroup$
– Hans Lundmark
Jan 2 at 11:19
$begingroup$
I also have to consider Robert Hooke who was the first to study conical pendulum.
$endgroup$
– Aschoolar
Jan 2 at 14:16