Comprehensive high-yield formula reference covering all 6 syllabus sections for GATE Aerospace Engineering (AE).
Isentropic Flow = T₀/T = 1 + ((γ-1)/2) M²
Normal Shock Relation = M₂² = (2 + (γ-1)M₁²) / (2γM₁² - (γ-1))
Prandtl-Glauert Rule = C_p = C_{p0} / √(1 - M_∞²)
Rocket Thrust = F = ṁ v_e + (p_e - p_a) A_e
Tsiolkovsky Equation = ΔV = I_sp g₀ ln(m₀ / m_f)
Thermal Efficiency = η_th = 1 - (1 / r_p^((γ-1)/γ))
Breguet Range (Jet) = R = (V / c_t) (C_L / C_D) ln(W₀ / W₁)
Breguet Endurance = E = (1 / c_t) (C_L / C_D) ln(W₀ / W₁)
Neutral Point = x_np = x_ac + η_t (a_t / a) (S_t / S) l_t (1 - dε/dα)
Bredt-Batho Torsion = q = T / (2 A_m) | θ = (T L) / (4 A_m² G) ∮ (ds/t)
Shear Flow in Open Beams = q_s = - (V_y / I_xx) ∫ y t ds
Euler Buckling Load = P_cr = (π² E I) / (K L)²
Orbital Velocity = v = √(μ (2/r - 1/a))
Hohmann Transfer ΔV = |v_t1 - v_c1| + |v_c2 - v_t2|
Kepler Third Law = T² = (4π² / μ) a³
Eigenvalues = det(A - λI) = 0
Newton-Raphson = x_{n+1} = x_n - f(x_n) / f'(x_n)
Cauchy-Euler ODE = x² y'' + a x y' + b y = 0
Practice Questions Using These Formulas