検索結果- 英語 - 英語
検索内容:
Euler-Lagrange equation
noun
(mechanics,
analytical
mechanics)
A
differential
equation
which
describes
a
function
mathbf
q(t)
which
describes
a
stationary
point
of
a
functional,
S(
mathbf
q)=∫L(t,
mathbf
q(t),
mathbf
̇q(t)),dt,
which
represents
the
action
of
mathbf
q(t),
with
L
representing
the
Lagrangian.
The
said
equation
(found
through
the
calculus
of
variations)
is
∂L/∂
mathbf
q=d/dt∂L/∂
mathbf
̇q
and
its
solution
for
mathbf
q(t)
represents
the
trajectory
of
a
particle
or
object,
and
such
trajectory
should
satisfy
the
principle
of
least
action.
