Examkin

Question

Difficulty: HardSpace Technology and Astronomy

With reference to Lagrange Points and orbital dynamics used in space astronomy missions such as Aditya-L1L_1, consider the following statements:

1. Lagrange points represent positions in space where the combined gravitational pull of two large masses equals the required centripetal force for a small body to orbit along with them.
2. Placing a solar observatory in a halo orbit around the Sun-Earth L1L_1 point provides continuous, unobstructed observation of the Sun without occultation or eclipses.
3. Halo orbits surrounding the Sun-Earth L1L_1 point are permanently stable equilibrium states, eliminating the need for station-keeping thruster maneuvers over the operational lifespan.

Which of the statements given above are correct?

  1. 1 and 2 onlyAnswer
  2. B
    2 and 3 only
  3. C
    1 and 3 only
  4. D
    1, 2 and 3

Answer

1 and 2 only
The correct answer identifies that Statements 1 and 2 are true while Statement 3 is false. Lagrange points represent precise orbital locations where gravitational force balances centripetal acceleration. The Sun-Earth L1 point affords continuous line-of-sight view of the solar disk without Earth or Moon blockage. However, collinear points (L1, L2, L3) are saddle-point equilibria, meaning halo orbits around L1 are inherently unstable and mandate routine station-keeping thruster maneuvers.

Step-by-Step Solution

1
Evaluate Statement 1 regarding the physical definition of Lagrange points.
Statement 1 is correct.
Lagrange points are equilibrium positions in a two-body orbital system (such as the Sun and Earth) where gravitational forces and centrifugal forces balance out relative to a rotating frame of reference.
2
Evaluate Statement 2 regarding solar observation advantages at Sun-Earth L1.
Statement 2 is correct.
Sun-Earth L1 lies approximately 1.5 million km from Earth directly toward the Sun, providing an uninterrupted view of solar activity without atmospheric distortion or planetary eclipses.
3
Evaluate Statement 3 regarding orbital stability and station-keeping requirements of halo orbits.
Statement 3 is incorrect.
The collinear Lagrange points (L1, L2, L3) are dynamically unstable points of equilibrium. Spacecraft in halo orbits around L1 drift due to gravitational perturbations and require periodic correction firings (station-keeping).

Key Concept

Lagrange Points and Halo Orbit Mechanics in Deep Space Missions
Estimated Time:2m 0s
Rate this question

Topics

Space Technology and Astronomy

More questions from this topic