points of the Sun-Earth system are true? Tick all that apply. centre of mass of the Sun and Earth with the same period as Il of the Sun and the Earth cancel out. roximately the separation of its L1 and L3 points. effective potential is zero.

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Which of these statements regarding Lagrangian points of the Sun-Earth system are true? Tick all that apply.
A spacecraft at a Lagrangian point orbits the centre of mass of the Sun and Earth with the same period as the Sun and Earth orbit the centre of mass.
At each Lagrangian point, the gravitational pull of the Sun and the Earth cancel out.
The diameter of the Earth's Hill Sphere is approximately the separation of its L1 and L3 points.
At each Lagrangian point, the gradient of the effective potential is zero.
Transcribed Image Text:Which of these statements regarding Lagrangian points of the Sun-Earth system are true? Tick all that apply. A spacecraft at a Lagrangian point orbits the centre of mass of the Sun and Earth with the same period as the Sun and Earth orbit the centre of mass. At each Lagrangian point, the gravitational pull of the Sun and the Earth cancel out. The diameter of the Earth's Hill Sphere is approximately the separation of its L1 and L3 points. At each Lagrangian point, the gradient of the effective potential is zero.
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