GATE AE 2024 • Q60 NAT • 2 Marks

Flight Mechanics & Space Dynamics

Space Dynamics

Subtopic: Orbital Mechanics

Question Statement:

Consider an artificial satellite moving around the Moon in an elliptic orbit. The altitude of the satellite from the Moon's surface at the perigee is 25 km and that at the apogee is 134 km. Assume the Moon to be spherical with a radius of 1737 km. The trajectory is considered with reference to a coordinate system fixed to the center of mass of the Moon. The ratio of the speed of the satellite at the perigee to th at at the apogee is ___________ (rounded off to 2 decimal places).

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.60)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Space Dynamics** under *Flight Mechanics & Space Dynamics* (2 Marks, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Space Dynamics equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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