GATE AE 2018 • Q44 NAT • 2 Marks

Flight Mechanics & Space Dynamics

Space Dynamics

Subtopic: Orbital Mechanics

Question Statement:

A spacecraft forms a circular orbit at an altitude of 150 km above the surface of a spherical Earth. Assuming the gravitational parameter, µ = 3.986 × 10 14 m3/s2 and radius of earth, RE = 6,400 km, the velocity required for the injection of the spacecraft, parallel to the local horizon, is _______________ (accurate to two decimal places).

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2018 Q.44)** **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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