GATE AE 2023 • Q62 NAT • 2 Marks

Flight Mechanics & Space Dynamics

Space Dynamics

Subtopic: Orbital Mechanics

Question Statement:

The universal gravitational constant is 116.67 10 - Nm2/kg2. For a planet of mass 236.4169 10 kg and radius 3390 km, the escape velocity is _____ km/s. (round off to one decimal place). Q. 63 A satellite is in a circular orbit around Earth with a time period of 90 minutes. The radius of Earth is 6370 km, mass of Earth is 245.98 10 kg and the universal gravitational constant is 116.67 10 - Nm2/kg2. The altitude of the satellite above mean sea level is ____ km. (round off to the nearest integer)

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.62)** **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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