Aerospace Engineering > GATE 2026 > Orbital Mechanics
An earth satellite has the instantaneous position vector r⃗ and velocity vector v⃗ as given below. Here p̂ and q̂ denote the unit vectors along the x and y axes of the perifocal frame, respectively. Assume that the value of gravitational parameter is 398600 km3/s2. Which one of the following trajectories does the satellite follow?
r⃗ = (8000p̂ + 9000q̂) km and v⃗ = (βˆ’6p̂ + 6q̂) km/s
A
Circle
B
Hyperbola
C
Parabola
D
Straight line

Correct : c

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satellite trajectory perifocal frame gravitational parameter GATE Aerospace Engineering 2026 orbital mechanics satellite motion trajectory analysis GATE aerospace 2026 satellite path hyperbola trajectory parabola trajectory circle trajectory straight line trajectory

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