Total Mechanical Energy Of An Orbiting Satellite — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Total Mechanical Energy of an Orbiting Satellite Valid for circular orbits where the mass of the satellite is negligible compared to the central body. Define Total Energy E = Kinetic Energy (K) + Potential Energy (U). State U = -GMm/r. Equate Centripetal Force to Gravitational Force: mv 2/r = GMm/r 2. Solve for kinetic energy term: mv 2 = GMm/r, therefore K = 1/2mv 2 = GMm/2r. Substitute K and U back into E: E = GMm/2r - GMm/r. Simplify to get E = -GMm/2r. r > 0 M >> m Orbit must be circular for this specific form (-GMm/2r). Confusing Total Energy with Potential Energy (forgetting the factor of 2 in the denominator). Assuming Total Energy is positive (bound systems have negative energy). Using altitude instead of orbital radius (r = R planet + h). Applying this specific formula to highly elliptical orbits without modification.