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Derivation of differential equation of orbitI Mechanics Video Lecture | UPSC Physics Optional (Crash Course)
FAQs on Derivation of differential equation of orbitI Mechanics Video Lecture - UPSC Physics Optional (Crash Course)
| 1. What is the differential equation of orbit in mechanics? |  |
Ans. The differential equation of orbit in mechanics describes the motion of an object in space under the influence of gravitational forces. It is derived from Newton's law of gravitation and Newton's laws of motion.
| 2. How is the differential equation of orbit derived? | |
Ans. The differential equation of orbit is derived by applying Newton's law of gravitation, which states that the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
| 3. What are the key components of the differential equation of orbit? | |
Ans. The key components of the differential equation of orbit include the masses of the objects, the gravitational constant, the initial position and velocity of the object, and the acceleration due to gravity.
| 4. How is the differential equation of orbit used in practical applications? | |
Ans. The differential equation of orbit is used in practical applications such as predicting the motion of satellites, spacecraft, and planets in space. It helps in calculating trajectories, orbital periods, and orbital velocities.
| 5. Can the differential equation of orbit be solved analytically or numerically? | |
Ans. The differential equation of orbit can be solved both analytically and numerically. Analytical solutions provide exact mathematical expressions for the motion of objects in orbit, while numerical solutions involve using computational methods to approximate the trajectory.
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Sep 24, 2025
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