Difficulty: Easy
Correct Answer: All of the above
Explanation:
Introduction / Context:
Low-Earth Orbits (LEO) are subject to several non-Keplerian perturbations. Mission design and orbit maintenance require understanding of which effects dominate at various altitudes. Around a few hundred kilometers up to roughly 700–800 km, multiple perturbations act concurrently with different time scales and magnitudes.
Given Data / Assumptions:
Concept / Approach:
Earth’s gravity field (J2 and higher): Causes node regression and apsidal rotation; effects are significant throughout LEO. Third-body forces (Sun/Moon): Though weaker than J2 and drag, they produce secular and periodic changes in orbital elements, especially inclination and right ascension of ascending node. Aerodynamic drag: Residual atmosphere below ~800–1000 km induces semi-major axis decay and reduces perigee height; magnitude depends on solar activity and ballistic coefficient.
Step-by-Step Solution:
Verification / Alternative check:
Standard orbit determination models (e.g., SGP4/SDP4 families) include J2 and drag for LEO; high-fidelity propagators include Sun/Moon gravitation even at LEO altitudes.
Why Other Options Are Wrong:
(a), (b), (c) alone each omit other non-negligible contributors in this altitude band. (e) contradicts observed decay and nodal drift behavior of LEO satellites.
Common Pitfalls:
Assuming drag is negligible above 400–500 km regardless of solar cycle; ignoring J2-driven precessions that are pivotal for Sun-synchronous orbit design.
Final Answer:
All of the above
Discussion & Comments