The GATE Grind

GATE Flight Mechanics & Space Dynamics: Space dynamics: central force motion, Keplerian orbits, Kepler's laws and escape velocity – Previous Year Questions

10 GATE previous year questions on Space dynamics: central force motion, Keplerian orbits, Kepler's laws and escape velocity (Flight Mechanics & Space Dynamics, Aerospace Engineering) with answers and explanations, from every paper.

  1. GATE 2021 AE Q35 (1 mark, Numerical answer) – The velocity required to launch a space shuttle from the surface of Earth to achieve a circular orbit of altitude 250 km is (two decimals). For Earth,…
  2. GATE 2022 AE Q46 (2 marks, Multiple select) – Consider a high Earth-orbiting satellite of angular momentum per unit mass hሬ⃗ and eccentricity e. The mass of the Earth is M and G is the universal…
  3. GATE 2023 AE Q62 (2 marks, Numerical answer) – A planet has mass 6.41691023 kg and radius 3390 km. For G=6.6710-11\ Nm2/kg2, escape speed (km/s, one decimal place) is .
  4. GATE 2023 AE Q63 (2 marks, Numerical answer) – A circular Earth orbit has period 90 min. Earth radius is 6370 km, mass 5.981024 kg and G=6.6710-11\ Nm2/kg2. Satellite altitude (nearest integer km)…
  5. GATE 2026 AE Q36 (2 marks, Multiple choice) – An earth satellite has the instantaneous position vector r and velocity vector v as given below. Here p and q denote the unit vectors along the x and…
  6. GATE 2026 AE Q55 (2 marks, Numerical answer) – An earth satellite moves in an elliptical orbit with a perigee altitude of 300 km and an apogee altitude of 3000 km. Assume that the radius of the…
  7. GATE 2025 AE Q53 (2 marks, Numerical answer) – F and G denote two points on a spacecraft's orbit around a planet, as indicated in the figure. O is the center of the planet, P is the periapsis, and…
  8. GATE 2024 AE Q26 (1 mark, Multiple select) – Which of the following statements is/are correct about a satellite moving in a geostationary orbit?
  9. GATE 2024 AE Q39 (2 marks, Multiple choice) – At a point in the trajectory of an unpowered space vehicle moving about the Earth, the altitude above the mean sea level is 600 km, and the speed with…
  10. GATE 2024 AE Q60 (2 marks, Numerical answer) – 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…