Lagrange points are positions in space where objects sent there tend to stay put. At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them. The James Webb Space Telescope will be launched into an orbit about the second Lagrange (L2) point in the Earth - Sun system. Consider the following arrangement with Earth (mass: M ' 0+ distance from the sun: R ) and 0. Sun (mass: M ). Calculate the distances r₁ 0. d12 the Lagrange points L₁ and 1 Earth, given that r <
Lagrange points are positions in space where objects sent there tend to stay put. At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them. The James Webb Space Telescope will be launched into an orbit about the second Lagrange (L2) point in the Earth - Sun system. Consider the following arrangement with Earth (mass: M ' 0+ distance from the sun: R ) and 0. Sun (mass: M ). Calculate the distances r₁ 0. d12 the Lagrange points L₁ and 1 Earth, given that r <
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Transcribed Image Text:Lagrange points are positions in space where objects
sent there tend to stay put. At Lagrange
points, the gravitational pull of two large masses
precisely equals the centripetal force required
for a small object to move with them. The James Webb
Space Telescope will be launched
into an orbit about the second Lagrange (L2) point in
the Earth - Sun system.
Consider the following arrangement with Earth (mass:
M
'
0+
distance from the sun: R ) and
0.
Sun (mass: M ). Calculate the distances r₁
0.
d12
the Lagrange points L₁ and
1
Earth, given that r <<Ro. and M
1
andr₂
of
<<M
Neglect the
0+
0.
from
force of gravity of the moon, and the
Coriolis force.
M
A. r = R
0+
1
3
B. r.
= R
1
C.%2
D.%2
o. `3M
0.
3M
4M
4M
= R
0. 3M
= R
M
0.
e+
0.
1
3
1
o+ 3
0.
0+
0. `ЗМ
0.
13
Option A, D are correct.
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